2000 character limit reached
Where is M-theory in the space of scattering amplitudes? (2212.00151v1)
Published 30 Nov 2022 in hep-th
Abstract: We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous work in ten dimensions. A key new tool employed here is unitarity in the celestial sphere. In all dimensions, we find that the minimal allowed value of the Wilson coefficient $\alpha$, controlling the leading correction to maximal supergravity, is very close but not equal to the minimal value realized in Superstring theory or M-theory. This small difference may be related to inelastic effects that are not well described by our numerical extremal amplitudes. Although $\alpha$ has a unique value in M-theory, we found no evidence of an upper bound on $\alpha$ in 11D.
- Andrea Guerrieri, Joao Penedones, and Pedro Vieira, “Where Is String Theory in the Space of Scattering Amplitudes?” Phys. Rev. Lett. 127, 081601 (2021), arXiv:2102.02847 [hep-th] .
- Michael B. Green and Pierre Vanhove, “D instantons, strings and M theory,” Phys. Lett. B 408, 122–134 (1997), arXiv:hep-th/9704145 .
- Luis F. Alday, Shai M. Chester, and Himanshu Raj, “6d (2,0) and M-theory at 1-loop,” JHEP 01, 133 (2021), arXiv:2005.07175 [hep-th] .
- Michael B. Green and Michael Gutperle, “Effects of D instantons,” Nucl. Phys. B 498, 195–227 (1997), arXiv:hep-th/9701093 .
- Shai M. Chester, Michael B. Green, Silviu S. Pufu, Yifan Wang, and Congkao Wen, “Modular invariance in superstring theory from 𝒩𝒩\mathcal{N}caligraphic_N = 4 super-Yang-Mills,” JHEP 11, 016 (2020), arXiv:1912.13365 [hep-th] .
- Luis F. Alday and Agnese Bissi, “Modular interpolating functions for N=4 SYM,” JHEP 07, 007 (2014), arXiv:1311.3215 [hep-th] .
- Damon J. Binder, Shai M. Chester, and Silviu S. Pufu, “AdS44{}_{4}start_FLOATSUBSCRIPT 4 end_FLOATSUBSCRIPT/CFT33{}_{3}start_FLOATSUBSCRIPT 3 end_FLOATSUBSCRIPT from weak to strong string coupling,” JHEP 01, 034 (2020), arXiv:1906.07195 [hep-th] .
- Michael B. Green, Jorge G. Russo, and Pierre Vanhove, “Automorphic properties of low energy string amplitudes in various dimensions,” Phys. Rev. D 81, 086008 (2010), arXiv:1001.2535 [hep-th] .
- Boris Pioline, “D66{}^{6}start_FLOATSUPERSCRIPT 6 end_FLOATSUPERSCRIPTR44{}^{4}start_FLOATSUPERSCRIPT 4 end_FLOATSUPERSCRIPT amplitudes in various dimensions,” JHEP 04, 057 (2015), arXiv:1502.03377 [hep-th] .
- Miguel F. Paulos, Joao Penedones, Jonathan Toledo, Balt C. van Rees, and Pedro Vieira, “The S-matrix bootstrap. Part III: higher dimensional amplitudes,” JHEP 12, 040 (2019), arXiv:1708.06765 [hep-th] .
- David Poland, David Simmons-Duffin, and Alessandro Vichi, “Carving Out the Space of 4D CFTs,” JHEP 05, 110 (2012), arXiv:1109.5176 [hep-th] .
- Walter Landry and David Simmons-Duffin, “Scaling the semidefinite program solver SDPB,” (2019), arXiv:1909.09745 [hep-th] .
- David Simmons-Duffin, “A Semidefinite Program Solver for the Conformal Bootstrap,” JHEP 06, 174 (2015), arXiv:1502.02033 [hep-th] .
- Diego Blas, Jorge Martin Camalich, and Jose Antonio Oller, “Unitarization of infinite-range forces: graviton-graviton scattering,” JHEP 08, 266 (2022), arXiv:2010.12459 [hep-th] .
- Simon Caron-Huot, Dalimil Mazac, Leonardo Rastelli, and David Simmons-Duffin, “Sharp boundaries for the swampland,” JHEP 07, 110 (2021), arXiv:2102.08951 [hep-th] .
- J. R. Pelaez, “From controversy to precision on the sigma meson: a review on the status of the non-ordinary f0(500)subscript𝑓0500f_{0}(500)italic_f start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ( 500 ) resonance,” Phys. Rept. 658, 1 (2016), arXiv:1510.00653 [hep-ph] .
- Steven B. Giddings and Rafael A. Porto, ‘‘The Gravitational S-matrix,” Phys. Rev. D 81, 025002 (2010), arXiv:0908.0004 [hep-th] .
- Kelian Häring and Alexander Zhiboedov, “Gravitational Regge bounds,” (2022), arXiv:2202.08280 [hep-th] .
- Andrea Guerrieri, Joao Penedones, and Pedro Vieira, “S-matrix Bootstrap for Effective Field Theories: Massless Pions,” (2020), arXiv:2011.02802 [hep-th] .
- Gerard ’t Hooft, “Graviton Dominance in Ultrahigh-Energy Scattering,” Phys. Lett. B 198, 61–63 (1987).
- D. Amati, M. Ciafaloni, and G. Veneziano, “Superstring Collisions at Planckian Energies,” Phys. Lett. B 197, 81 (1987).
- Paolo Di Vecchia, Stephen G. Naculich, Rodolfo Russo, Gabriele Veneziano, and Chris D. White, “A tale of two exponentiations in 𝒩𝒩\mathcal{N}caligraphic_N = 8 supergravity at subleading level,” JHEP 03, 173 (2020), arXiv:1911.11716 [hep-th] .
- Miguel Correia, Amit Sever, and Alexander Zhiboedov, “An Analytical Toolkit for the S-matrix Bootstrap,” (2020), arXiv:2006.08221 [hep-th] .
- Kelian Häring, Aditya Hebbar, Denis Karateev, Marco Meineri, and João Penedones, “Bounds on photon scattering,” (2022), arXiv:2211.05795 [hep-th] .
- Nima Arkani-Hamed, Lorenz Eberhardt, Yu-tin Huang, and Sebastian Mizera, “On unitarity of tree-level string amplitudes,” JHEP 02, 197 (2022), arXiv:2201.11575 [hep-th] .
- Pronobesh Maity, “Positivity of the Veneziano amplitude in D = 4,” JHEP 04, 064 (2022), arXiv:2110.01578 [hep-th] .