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UV completeness of string theory

Establish whether string theory is ultraviolet complete by proving that its dynamics remain predictive and free of pathological divergences at arbitrarily high energies (equivalently, arbitrarily short distance scales), thereby confirming that a string-theoretic theory of everything possesses formal consistency in the ultraviolet.

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Background

UV completeness is sometimes treated as a criterion of theory acceptance for fundamental theories. String theory, proposed as a candidate theory of everything, is widely believed to be UV-complete due to the extended nature of strings, but the claim lacks a definitive proof.

The author notes that while the structure of string theory strongly suggests UV completeness, a rigorous demonstration is missing, leaving open the question of whether the theory is formally predictive at all energy scales.

References

String theory is supposed to be a ToE, rather than just QG—as such, it must be UV-complete. The extendedness of the theory's basic entities is very likely to ensure that it is UV-complete, although no proof has yet been found that it is (see Hagar 2014, Dawid 2013a).

Why Do We Want a Theory of Quantum Gravity? (2505.04858 - Crowther, 7 May 2025) in Section 3.4 (UV completeness), paragraph discussing string theory