2023/12/04 by Dewi S. W. Gould, Ling Lin, Gould, Dewi S. W. +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2312.02131
openalex publication_date 2023/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We consider string/M-theory reductions on a compact space X=Xloc ∪ X^∘, where Xloc contains the singular locus, and X^∘ its complement. For the resulting supergravity theories, we construct a suitable Symmetry Topological Field Theory (SymTFT) associated with the boundary ∂ Xloc \coprod ∂ X^∘. We propose that boundary conditions for different BPS branes wrapping the same boundary cycles must be correlated for the SymTFT to yield an absolute theory consistent with quantum gravity. Using heterotic/M-theory duality, this constraint can be translated into a field theoretic statement, which restricts the global structure of d≥ 7, N=1 supergravity theories to reproduce precisely the landscape of untwisted toroidal heterotic compactifications. Furthermore, for 6d (2,0) theories, we utilize a subtle interplay between gauged 0-, 2-, and 4-form symmetries to provide a bottom-up explanation of the correlated boundary conditions in K3 compactifications of type IIB.