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Some aspects of symmetry descent
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In many cases the symmetry structure of quantum field theories can be neatly encoded into their associated symmetry topological field theory (SymTFT), a topological field theory in one dimension higher. For geometrically engineered QFTs in string theory this SymTFT has been argued to arise from the background geometry, essentially by integration of the topological sector of string theory on the horizon of the geometry transverse to the QFT locus. In this paper we clarify some subtle aspects of this proposal. We take a higher dimensional approach, where the ten dimensional string theory fields to be integrated arise as edge modes of a topological field theory in eleven dimensions. The resulting construction provides a SymTFT generalisation of the descent procedure for anomalies.
Forward citations
Cited by 8 Pith papers
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On Quantum Aspects of 1-Form Symmetries II: Bordism, Invertible Phases, and Anomalies
Bordism computation for K(Z,3) identifies a new mixed perturbative anomaly in 5D and a new Z2 discrete anomaly in 7D for U(1) 1-form symmetries.
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SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory
The 7d SymTFT for 6d (2,0) D_N SCFTs is derived from M-theory on AdS7 × RP4, including the outer-automorphism Z2 sector, and is used to derive non-invertible symmetries and anomaly polynomials.
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String theory and the SymTFT of 3d orthosymplectic Chern-Simons theory
The 4d SymTFT of the 3d N=5 orthosymplectic Chern-Simons theory is derived from Type IIA string theory on AdS4 times CP^3/Z2, and the D8/Q8 global symmetry is reproduced by brane dynamics.
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Anomaly-induced vanishing of brane partition functions
Anomalies imply vanishing brane partition functions; this yields unified derivations of the Freed-Witten and M5 shifted-quantization conditions and new S-fold D3-brane constraints.
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Holography and discrete theta angles for disconnected gauge groups
The paper derives missing torsion terms in the holographic symmetry TFT for so(2n) N=4 SYM and matches its gapped boundary conditions to the global forms and discrete theta angles of disconnected orthogonal gauge theories.
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(-1)-form symmetries from M-theory and SymTFTs
A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.
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SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions
The authors derive partition functions of orbifolded, fermionized, and para-fermionized 2D CFTs from topological boundary states of the 3D SymTFT, introducing para-fermionic Lagrangian algebras.
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SymTFTs for $U(1)$ symmetries from descent
Symmetry descent is extended from discrete to continuous U(1) higher-form symmetries, yielding SymTFTs that match the Antinucci-Benini and Brennan-Sun constructions.
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