Results 61 to 70 of about 210 (155)

Puzzles in 3D off-shell geometries via VTQFT

Journal of High Energy Physics
We point out a difficulty with a naive application of Virasoro TQFT methods to compute path integrals for two types of off-shell 3-dimensional geometries. Maxfield-Turiaci [1] proposed solving the negativity problem of pure 3D gravity by summing over off-
Cynthia Yan
doaj   +1 more source

Categorification: tangle invariants and TQFTs

, 2023
Based on different views on the Jones polynomial we review representation theoretic categorified link and tangle invariants. We unify them in a common combinatorial framework and connect them via the theory of Soergel bimodules. The influence of these categorifications on the development of 2-representation theory and the interaction between ...
openaire   +2 more sources

TQFT gravity and ensemble holography

Journal of High Energy Physics
We outline a general derivation of holographic duality between “TQFT gravity” — the path integral of a 3d TQFT summed over different topologies — and an ensemble of boundary 2d CFTs.
Anatoly Dymarsky, Alfred Shapere
doaj   +1 more source

Minimal factorization of Chern-Simons theory – Gravitational anyonic edge modes

SciPost Physics
One approach to analyzing entanglement in a gauge theory is embedding it into a factorized theory with edge modes on the entangling boundary. For topological quantum field theories (TQFT), this naturally leads to factorizing a TQFT by adding local edge ...
Thomas G. Mertens, Qi-Feng Wu
doaj   +1 more source

The geometry of the M5-branes and TQFTs

Journal of Geometry and Physics, 2000
The calculation of the partition function for N M5-branes is addressed for the case in which the worldvolume wraps a manifold $T^2\times M_4$, where $M_4$ is simply connected and Kaehler. This is done in a compactification of M-theory which induces the Vafa-Witten theory on $M_4$ in the limit of vanishing torus volume.
openaire   +4 more sources

Macdonald index from 3d TQFT

Journal of High Energy Physics
We propose a new fermionic sum formula for the Macdonald index of a class of Argyres-Douglas theories. The formula arises naturally from a three-dimensional topological field theory obtained via a twisted dimensional reduction of the 4d theory.
Heeyeon Kim, Hongseok Kim, Jaewon Song
doaj   +1 more source

Asymptotic aspects of the Teichmüller TQFT [PDF]

, 2016
We calculate the knot invariant coming from the Teichmüller TQFT [AK1]. Specifically we calculate the knot invariant for the complement of the knot $6_1$ both in the original [AK1] and the new formulation of the Teichmüller TQFT [AK2] for the one-vertex H-triangulation of $(S^3,6_1)$.
Andersen, Jørgen Ellegaard, Nissen, Jens-Jakob Kratmann   +1 more
openaire   +3 more sources

Rationalizing CFTs and anyonic imprints on Higgs branches

Journal of High Energy Physics, 2019
We continue our program of mapping data of 4D N = 2 $$ \mathcal{N}=2 $$ superconformal field theories (SCFTs) onto observables of 2D chiral rational conformal field theories (RCFTs) by revisiting an infinite set of strongly coupled Argyres-Douglas (AD ...
Matthew Buican, Zoltan Laczko
doaj   +1 more source

Enriched string-net models and their excitations [PDF]

Quantum
Boundaries of Walker-Wang models have been used to construct commuting projector models which realize chiral unitary modular tensor categories (UMTCs) as boundary excitations.
David Green, Peter Huston, Kyle Kawagoe, David Penneys, Anup Poudel, Sean Sanford   +5 more
doaj   +1 more source

El funtor TQFT y la cohomología de Khovanov

Revista Integración, 2006
El funtor TQFT (Topological Quantum Field Theory) relaciona la categoría de uno-variedades suaves cerradas con la categoría de módulos sobre un anillo R.
Carlos Wilson Rodríguez Cárdenas
doaj   +2 more sources