Papers
Topics
Authors
Recent
Search
2000 character limit reached

Geometries with twisted spheres and non-abelian T-dualities

Published 24 Nov 2023 in hep-th | (2311.14285v3)

Abstract: Spectral flow in two-dimensional field theories is known to correspond to geometrical twisting between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1) x SO(k+1) isometries with k>1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in N=4 super-Yang-Mills theory.

Authors (2)
Definition Search Book Streamline Icon: https://streamlinehq.com
References (33)
  1. J. Dai, R. G. Leigh and J. Polchinski, “New Connections Between String Theories,” Mod. Phys. Lett. A 4, 2073-2083 (1989); R. G. Leigh, “Dirac-Born-Infeld Action from Dirichlet Sigma Model,” Mod. Phys. Lett. A 4, 2767 (1989); J. Polchinski, “Dirichlet Branes and Ramond-Ramond charges,” Phys. Rev. Lett. 75, 4724-4727 (1995), arXiv:hep-th/9510017; P. Horava, “Strings on World Sheet Orbifolds,” Nucl. Phys. B 327, 461-484 (1989); P. Horava, “Background Duality of Open String Models,” Phys. Lett. B 231, 251-257 (1989).
  2. P. Horava and E. Witten, “Heterotic and type I string dynamics from eleven-dimensions,” Nucl. Phys. B 460, 506-524 (1996), hep-th/9510209; E. Witten, “String theory dynamics in various dimensions,” Nucl. Phys. B 443, 85-126 (1995), arXiv:hep-th/9503124; P. Horava and E. Witten, “Eleven-dimensional supergravity on a manifold with boundary,” Nucl. Phys. B 475, 94-114 (1996) doi:10.1016/0550-3213(96)00308-2 arXiv:hep-th/9603142.
  3. A. Strominger and C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B 379, 99-104 (1996), arXiv:hep-th/9601029; C. G. Callan and J. M. Maldacena, “D-brane Approach to Black Hole Quantum Mechanics,” Nucl. Phys.  B 472, 591 (1996), arXiv:hep-th/9602043; G. T. Horowitz and A. Strominger, “Counting States of Near-Extremal Black Holes,” Phys. Rev. Lett.  77, 2368 (1996), arXiv:hep-th/9602051; J. C. Breckenridge, D. A. Lowe, R. C. Myers, A. W. Peet, A. Strominger and C. Vafa, “Macroscopic and Microscopic Entropy of Near-Extremal Spinning Black Holes,” Phys. Lett.  B 381, 423 (1996), arXiv:hep-th/9603078.
  4. J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys.  2, 231 (1998) [Int. J. Theor. Phys.  38, 1113 (1999)], arXiv:hep-th/9711200; S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett.  B 428, 105 (1998), arXiv:hep-th/9802109; E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys.  2, 253 (1998), arXiv:hep-th/9802150; O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept.  323, 183 (2000), arXiv:hep-th/9905111.
  5. A. Sen, “Strong - weak coupling duality in four-dimensional string theory,” Int. J. Mod. Phys. A 9, 3707 (1994) hep-th/9402002; A. Sen, “Black hole solutions in heterotic string theory on a torus,” Nucl. Phys. B 440, 421 (1995) hep-th/9411187; A. Sen, “Duality symmetry group of two-dimensional heterotic string theory,” Nucl. Phys. B 447, 62 (1995) hep-th/9503057; M. Cvetic and D. Youm, “Dyonic BPS saturated black holes of heterotic string on a six torus,” Phys. Rev. D 53, 584 (1996) hep-th/9507090; M. Cvetic and D. Youm, “All the static spherically symmetric black holes of heterotic string on a six torus,” Nucl. Phys. B 472, 249 (1996) hep-th/9512127.
  6. A. Hashimoto and N. Itzhaki, “Noncommutative Yang-Mills and the AdS / CFT correspondence,” Phys. Lett. B 465, 142-147 (1999), hep-th/9907166; J. M. Maldacena and J. G. Russo, “Large N limit of noncommutative gauge theories,” JHEP 09, 025 (1999), hep-th/9908134; O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 05, 033 (2005), arXiv:hep-th/0502086 [hep-th]; S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 05, 069 (2005), arXiv:hep-th/0503201 [hep-th].
  7. L. Cornalba, M. S. Costa and R. Schiappa, “D-brane dynamics in constant Ramond-Ramond potentials, S duality and noncommutative geometry,” Adv. Theor. Math. Phys. 9, no.3, 355-406 (2005), arXiv:hep-th/0209164 [hep-th]; S. He and H. Shu, “T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory,” JHEP 08, 172 (2018), arXiv:1806.02707 [hep-th].
  8. S. A. Frolov, R. Roiban and A. A. Tseytlin, “Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory,” JHEP 07, 045 (2005), arXiv:hep-th/0503192 [hep-th]; E. Imeroni, “On deformed gauge theories and their string/M-theory duals,” JHEP 10, 026 (2008), arXiv:0808.1271 [hep-th]; S. J. van Tongeren, “On classical Yang-Baxter based deformations of the AdS×5{}_{5}\timesstart_FLOATSUBSCRIPT 5 end_FLOATSUBSCRIPT × S55{}^{5}start_FLOATSUPERSCRIPT 5 end_FLOATSUPERSCRIPT superstring,” JHEP 06, 048 (2015), arXiv:1504.05516 [hep-th]; A. Sfondrini and S. J. van Tongeren, “T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformations as T⁢s⁢T𝑇𝑠𝑇TsTitalic_T italic_s italic_T transformations,” Phys. Rev. D 101, no.6, 066022 (2020), arXiv:1908.09299 [hep-th]; C. D. A. Blair, “Non-relativistic duality and T⁢T¯𝑇¯𝑇T\bar{T}italic_T over¯ start_ARG italic_T end_ARG deformations,” JHEP 07, 069 (2020), arXiv:2002.12413 [hep-th]; R. Borsato, S. Driezen, J. M. Nieto García and L. Wyss, “Semiclassical spectrum of a Jordanian deformation of AdS5×\times×S5,” Phys. Rev. D 106, no.6, 066015 (2022), arXiv:2207.14748 [hep-th].
  9. T. H. Buscher, “A Symmetry of the String Background Field Equations,” Phys. Lett. B 194, 59-62 (1987)
  10. X. C. de la Ossa and F. Quevedo, “Duality symmetries from non-Abelian isometries in string theory,” Nucl. Phys. B 403, 377-394 (1993), arXiv:hep-th/9210021 [hep-th]. J. Balog, P. Forgacs, N. Mohammedi, L. Palla and J. Schnittger, “On quantum T duality in sigma models,” Nucl. Phys. B 535, 461-482 (1998), arXiv:hep-th/9806068 [hep-th].
  11. T. Curtright and C. K. Zachos, “Currents, charges, and canonical structure of pseudodual chiral models,” Phys. Rev. D 49, 5408-5421 (1994), arXiv:hep-th/9401006; Y. Lozano, “NonAbelian duality and canonical transformations,” Phys. Lett. B 355, 165-170 (1995), arXiv:hep-th/9503045. Y. Lozano, “Duality and canonical transformations,” Mod. Phys. Lett. A 11, 2893-2914 (1996), arXiv:hep-th/9610024. K. Sfetsos, “NonAbelian duality, parafermions and supersymmetry,” Phys. Rev. D 54, 1682-1695 (1996), arXiv:hep-th/9602179.
  12. G. Itsios, C. Nunez, K. Sfetsos and D. C. Thompson, “Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds,” Nucl. Phys. B 873, 1-64 (2013), arXiv:1301.6755 [hep-th].
  13. G. Itsios, C. Nunez, K. Sfetsos and D. C. Thompson, “On Non-Abelian T-Duality and new N=1 backgrounds,” Phys. Lett. B 721, 342-346 (2013), arXiv:1212.4840 [hep-th]. N. T. Macpherson, “Non-Abelian T-duality, G2subscript𝐺2G_{2}italic_G start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT-structure rotation and holographic duals of N=1𝑁1N=1italic_N = 1 Chern-Simons theories,” JHEP 11, 137 (2013), arXiv:1310.1609 [hep-th]; K. Sfetsos and D. C. Thompson, “New 𝒩=1𝒩1{\cal N}=1caligraphic_N = 1 supersymmetric A⁢d⁢S5𝐴𝑑subscript𝑆5AdS_{5}italic_A italic_d italic_S start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT backgrounds in Type IIA supergravity,” JHEP 11, 006 (2014), arXiv:1408.6545 [hep-th]; Ö. Kelekci, Y. Lozano, N. T. Macpherson and E. Ó. Colgáin, “Supersymmetry and non-Abelian T-duality in type II supergravity,” Class. Quant. Grav. 32, no.3, 035014 (2015), arXiv:1409.7406 [hep-th]; N. T. Macpherson, C. Núñez, L. A. Pando Zayas, V. G. J. Rodgers and C. A. Whiting, “Type IIB supergravity solutions with AdS55{}_{5}start_FLOATSUBSCRIPT 5 end_FLOATSUBSCRIPT from Abelian and non-Abelian T dualities,” JHEP 02, 040 (2015), arXiv:1410.2650 [hep-th]; H. Dimov, S. Mladenov, R. C. Rashkov and T. Vetsov, “Non-abelian T-duality of Pilch-Warner background,” Fortsch. Phys. 64, 657-673 (2016), arXiv:1511.00269 [hep-th]; B. Hoare and A. A. Tseytlin, “Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS5subscriptAdS5\mathrm{AdS}_{5}roman_AdS start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT σ𝜎\sigmaitalic_σ-model,” J. Phys. A 49, no.49, 494001 (2016), arXiv:1609.02550 [hep-th]; R. Borsato and L. Wulff, “On non-abelian T-duality and deformations of supercoset string sigma-models,” JHEP 10, 024 (2017), arXiv:1706.10169 [hep-th]; R. Borsato and L. Wulff, “Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings,” JHEP 08, 027 (2018), arXiv:1806.04083 [hep-th]; G. Itsios, J. M. Penín and S. Zacarías, “Spin-2 excitations in Gaiotto-Maldacena solutions,” JHEP 10, 231 (2019), arXiv:1903.11613 [hep-th]; B. Hoare and A. A. Tseytlin, “Homogeneous Yang-Baxter deformations as non-abelian duals of the A⁢d⁢S5⁢σ𝐴𝑑subscript𝑆5𝜎{AdS}_{5}\sigmaitalic_A italic_d italic_S start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT italic_σ-model,” J. Phys. A 49, 494001 (2016), arXiv:1609.02550 [hep-th]. N. T. Macpherson, C. Núñez, L. A. Pando Zayas, V. G. J. Rodgers and C. A. Whiting, “Type IIB supergravity solutions with AdS55{}_{5}start_FLOATSUBSCRIPT 5 end_FLOATSUBSCRIPT from Abelian and non-Abelian T dualities,” JHEP 02, 040 (2015), arXiv:1410.2650 [hep-th].
  14. S. F. Hassan, “S⁢O⁢(d,d)𝑆𝑂𝑑𝑑SO(d,d)italic_S italic_O ( italic_d , italic_d ) transformations of Ramond-Ramond fields and space-time spinors,” Nucl. Phys. B 583, 431-453 (2000), arXiv:hep-th/9912236 [hep-th].
  15. A. A. Tseytlin, “Duality symmetric formulation of string world sheet dynamics,” Physics Letters B, vol. 242, pp. 163–174, 1990. C. Klimcik and P. Severa, “Dual non-abelian duality and the drinfeld double,” Physics Letters B, vol. 351, p. 455–462, Jun 1995,  arXiv:hep-th/9502122; C. Hull, “A Geometry for non-geometric string backgrounds,” JHEP, vol. 2005, p. 065, (2005), arXiv:hep-th/0406102v3; C. Hull and B. Zwiebach, “Double field theory,” JHEP, vol. 2009, p. 099–099, (2009), arXiv:0904.4664 [hep-th]; R. Borsato and S. Driezen, “Supergravity solution-generating techniques and canonical transformations of σ𝜎\sigmaitalic_σ-models from O⁢(D,D)𝑂𝐷𝐷O(D,D)italic_O ( italic_D , italic_D ),” JHEP 05, 180 (2021), arXiv:2102.04498 [hep-th].
  16. J. Balog, P. Forgacs, N. Mohammedi, L. Palla and J. Schnittger, “On quantum T duality in sigma models,” Nucl. Phys. B 535, 461-482 (1998), arXiv:hep-th/9806068 [hep-th].
  17. K. Sfetsos and D. C. Thompson, “On non-abelian T-dual geometries with Ramond fluxes,” Nucl. Phys. B 846, 21-42 (2011), arXiv:1012.1320 [hep-th].
  18. K. Sfetsos, “Duality invariant class of two-dimensional field theories,” Nucl. Phys. B 561, 316-340 (1999), arXiv:hep-th/9904188; Y. Lozano, E. O Colgain, K. Sfetsos and D. C. Thompson, “Non-abelian T-duality, Ramond Fields and Coset Geometries,” JHEP 06, 106 (2011), arXiv:1104.5196 [hep-th]; K. Sfetsos, “Integrable interpolations: From exact CFTs to non-Abelian T-duals,” Nucl. Phys. B 880, 225-246 (2014), [arXiv:1312.4560 [hep-th]].
  19. K. C. M. Cheung and R. Leung, “Type IIA embeddings of D = 5 minimal gauged supergravity via non-Abelian T-duality,” JHEP 06, 051 (2022), arXiv:2203.15114 [hep-th]; C. D. A. Blair and S. Zhidkova, “Generalised U-dual solutions in supergravity,” JHEP 05, 081 (2022), arXiv:2203.01838 [hep-th].
  20. H. Lin, O. Lunin and J. M. Maldacena, “Bubbling AdS space and 1/2 BPS geometries,” JHEP 10, 025 (2004), arXiv:hep-th/0409174 [hep-th].
  21. G. Itsios, Y. Lozano, E. O Colgain and K. Sfetsos, “Non-Abelian T-duality and consistent truncations in type-II supergravity,” JHEP 08, 132 (2012), arXiv:1205.2274 [hep-th].
  22. O. Lunin and S. D. Mathur, “AdS / CFT duality and the black hole information paradox,” Nucl. Phys. B 623, 342-394 (2002), hep-th/0109154; O. Lunin, J. M. Maldacena and L. Maoz, “Gravity solutions for the D1-D5 system with angular momentum,” arXiv:hep-th/0212210; S. D. Mathur, “The Fuzzball proposal for black holes: An Elementary review,” Fortsch. Phys. 53, 793-827 (2005), arXiv:hep-th/0502050; K. Skenderis and M. Taylor, “The fuzzball proposal for black holes,” Phys. Rept. 467, 117-171 (2008) arXiv:0804.0552.
  23. O. Lunin, “Adding momentum to D1–D5 system,” JHEP 0404, 054 (2004), hep-th/0404006; S. Giusto, S. D. Mathur and A. Saxena, “Dual geometries for a set of 3-charge microstates,” Nucl. Phys. B 701, 357 (2004), hep-th/0405017; S. Giusto, S. D. Mathur and A. Saxena, “3-charge geometries and their CFT duals,” Nucl. Phys. B 710, 425 (2005), hep-th/0406103; I. Bena and N. P. Warner, “Black holes, black rings and their microstates,” Lect. Notes Phys.  755, 1 (2008), hep-th/0701216; I. Bena, N. Bobev, N. P. Warner, “Spectral Flow, and the Spectrum of Multi-Center Solutions,” Phys. Rev.  D77, 125025 (2008), arXiv:0803.1203 [hep-th]; I. Bena, J. de Boer, M. Shigemori, N. P. Warner, “Double, Double Supertube Bubble,” arXiv:1107.2650 [hep-th]; S. Giusto, L. Martucci, M. Petrini and R. Russo, “6D microstate geometries from 10D structures,” Nucl. Phys. B 876, 509 (2013), arXiv:1306.1745 [hep-th]; S. Giusto and R. Russo, “Superdescendants of the D1D5 CFT and their dual 3-charge geometries,” JHEP 1403, 007 (2014), arXiv:1311.5536 [hep-th]; I. Bena, S. Giusto, R. Russo, M. Shigemori and N. P. Warner, “Habemus Superstratum! A constructive proof of the existence of superstrata,” JHEP 1505, 110 (2015), arXiv:1503.01463 [hep-th]; I. Bena, S. Giusto, E. J. Martinec, R. Russo, M. Shigemori, D. Turton and N. P. Warner, “Asymptotically-flat supergravity solutions deep inside the black-hole regime,” JHEP 1802, 014 (2018), arXiv:1711.10474 [hep-th].
  24. N. Seiberg and E. Witten, “The D1 / D5 system and singular CFT,” JHEP 9904, 017 (1999), hep-th/9903224.; J. de Boer, “Six-dimensional supergravity on S33{}^{3}start_FLOATSUPERSCRIPT 3 end_FLOATSUPERSCRIPT x AdS33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT and 2-D conformal field theory,” Nucl. Phys. B 548, 139 (1999), hep-th/9806104; R. Dijkgraaf, “Instanton strings and hyperKahler geometry,” Nucl. Phys. B 543, 545 (1999), hep-th/9810210; F. Larsen and E. J. Martinec, “U(1) charges and moduli in the D1 - D5 system,” JHEP 9906, 019 (1999), hep-th/9905064.
  25. A. Schwimmer and N. Seiberg, “Comments on the N=2, N=3, N=4 Superconformal Algebras in Two-Dimensions,” Phys. Lett. B 184, 191-196 (1987).
  26. J. M. Maldacena and H. Ooguri, “Strings in AdS(3) and SL(2,R) WZW model 1.: The Spectrum,” J. Math. Phys. 42, 2929-2960 (2001), arXiv:hep-th/0001053; G. Giribet, A. Pakman and L. Rastelli, “Spectral Flow in AdS(3)/CFT(2),” JHEP 06, 013 (2008), arXiv:0712.3046 [hep-th].
  27. S. F. Hassan, “T duality, space-time spinors and RR fields in curved backgrounds,” Nucl. Phys. B 568, 145-161 (2000), arXiv:hep-th/9907152. K. Sfetsos, K. Siampos and D. C. Thompson, “Canonical pure spinor (Fermionic) T-duality,” Class. Quant. Grav. 28, 055010 (2011), arXiv:1007.5142 [hep-th]; E. Gevorgyan and G. Sarkissian, “Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields,” JHEP 03, 035 (2014), arXiv:1310.1264 [hep-th].
  28. D. Bielli, S. Penati, D. Sorokin and M. Wolf, “Super non-Abelian T-duality,” Nucl. Phys. B 983, 115904 (2022), arXiv:2112.12168 [hep-th]; Y. Lozano, N. Petri and C. Risco, “AdS2 near-horizons, defects, and string dualities,” Phys. Rev. D 107, no.10, 106012 (2023), arXiv:2212.11095 [hep-th]; R. Hernandez, R. Ruiz and K. Sfetsos, “Spinning strings: λ𝜆\lambdaitalic_λ-deformation and non-Abelian T-dual limit,” Nucl. Phys. B 991, 116199 (2023), arXiv:2206.13551 [hep-th] D. Butter, F. Hassler, C. N. Pope and H. Zhang, “Generalized Dualities and Supergroups,” arXiv:2307.05665 [hep-th]; D. Roychowdhury, “Matrix model correlators from non-Abelian T-dual of A⁢d⁢S5×S5𝐴𝑑subscript𝑆5superscript𝑆5AdS_{5}\times S^{5}italic_A italic_d italic_S start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT × italic_S start_POSTSUPERSCRIPT 5 end_POSTSUPERSCRIPT,” arXiv:2310.10210 [hep-th].
  29. M. S. Costa and M. Gutperle, “The Kaluza-Klein Melvin solution in M theory,” JHEP 03, 027 (2001), arXiv:hep-th/0012072; E. G. Gimon, A. Hashimoto, V. E. Hubeny, O. Lunin and M. Rangamani, “Black strings in asymptotically plane wave geometries,” JHEP 08, 035 (2003), arXiv:hep-th/0306131; D. Dhokarh, S. S. Haque and A. Hashimoto, “Melvin Twists of global AdS(5) x S(5) and their Non-Commutative Field Theory Dual,” JHEP 08, 084 (2008), arXiv:0801.3812 [hep-th].
  30. J. McGreevy, L. Susskind and N. Toumbas, “Invasion of the giant gravitons from Anti-de Sitter space,” JHEP 06, 008 (2000), arXiv:hep-th/0003075.
  31. M. T. Grisaru, R. C. Myers and O. Tafjord, “SUSY and goliath,” JHEP 08, 040 (2000), hep-th/0008015.
  32. F. Hassler, “Poisson-Lie T-duality in Double Field Theory,” Phys. Lett. B 807, 135455 (2020) arXiv:1707.08624 [hep-th]; D. Lüst and D. Osten,“Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality,”JHEP 05, 165 (2018), arXiv:1803.03971; A. Catal-Ozer, “Non-Abelian T-duality as a Transformation in Double Field Theory,” JHEP 08, 115 (2019), arXiv:1904.00362 [hep-th].
  33. R. Borsato, S. Driezen and F. Hassler, “An algebraic classification of solution generating techniques,” Phys. Lett. B 823, 136771 (2021), arXiv:2109.06185 [hep-th].
Citations (1)
View on Semantic Scholar

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

Collections

Sign up for free to add this paper to one or more collections.

Sign Up

Tweets

Sign up for free to view the 1 tweet with 0 likes about this paper.

Sign Up for Free