35 citations · 269 across the 35 of their papers we have counts for
35 papers
Topological-Holomorphic Gauge Theory: From Langlands Duality of Holomorphic Invariants to Mirror Symmetry of Quasi-topological Strings
Zhi-Cong Ong, Meng-Chwan Tan
We perform a topological-holomorphic twist of supersymmetric gauge theory on a four-manifold of the form with Riemann surfaces , and u…
Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification
Zhi-Cong Ong, Meng-Chwan Tan
We revisit Vafa-Witten theory in the more general setting whereby the underlying moduli space is not that of instantons, but of the full Vafa-Witten equations. We physically derive…
The -plane integral, mock modularity and enumerative geometry
Johannes Aspman, Elias Furrer, Georgios Korpas +2
We revisit the low-energy effective action of topologically twisted SYM theory with gauge group of rank one on a generic oriented smooth 4-manifold with n…
Matrix Quantization of Classical Nambu Brackets and Super -Branes
Meer Ashwinkumar, Lennart Schmidt, Meng-Chwan Tan
We present an explicit matrix algebra quantization of the algebra of volume-preserving diffeomorphisms of the -torus. That is, we approximate the corresponding classical Nambu b…
4d Chern-Simons Theory as a 3d Toda Theory, and a 3d-2d Correspondence
Meer Ashwinkumar, Kee-Seng Png, Meng-Chwan Tan
We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, with Nahm pole-type boundary conditions, dual to a boundary theory that is a thr…
Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory
Meer Ashwinkumar, Meng-Chwan Tan
We explain how, starting with a stack of D4-branes ending on an NS5-brane in type IIA string theory, one can, via T-duality and the topological-holomorphic nature of the relevant w…