REVIEW 6 cited by
On the Symmetry TFT of Yang-Mills-Chern-Simons theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
Three-dimensional Yang-Mills-Chern-Simons theory has the peculiar property that its one-form symmetry defects have non-trivial braiding, namely they are charged under the same symmetry they generate, which is then anomalous. This poses a few puzzles in describing the corresponding Symmetry TFT in a four-dimensional bulk. First, the braiding between lines at the boundary seems to be ill-defined when such lines are pulled into the bulk. Second, the Symmetry TFT appears to be too trivial to allow for topological boundary conditions encoding all the different global variants. We show that both of these puzzles can be solved by including endable (tubular) surfaces in the class of bulk topological operators one has to consider. In this way, we are able to reproduce all global variants of the theory, with their symmetries and their anomalies. We check the validity of our proposal also against a top-down holographic realization of the same class of theories.
Forward citations
Cited by 6 Pith papers
-
Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$
In AdS5×S5, non-Abelian SO(6) symmetry operators are realized by hanging D5-brane–KK-monopole bound states, matching the Gauss-law operators from the low-energy supergravity action.
-
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.
-
Continuous symmetries and charge measurement of boundary operators in holography
Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...
-
SymSETs and self-dualities under gauging non-invertible symmetries
A new SymSET-based construction shows that changing symmetry fractionalization classes can change fusion rules of self-duality defects under non-invertible gauging, yielding new fusion categories such as Rep D16 and Rep SD16.
-
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.
-
The Higher Structure of Symmetries of Axion-Maxwell Theory
The paper determines the fusion interfaces and F-symbols for the non-invertible electric 1-form symmetry of 4d axion-Maxwell theory.
Discussion (0). Continue with ORCID to comment.