35 citations · 269 across the 35 of their papers we have counts for
5 papers · 1 filter
Nonlocal Operators and Duality in Abelian Gauge Theory on a Four-Manifold
Meng-Chwan Tan
We generalize our picture in [arXiv:0904.1744], and consider a pure abelian gauge theory on a four-manifold with nonlocal operators of every codimension arbitrarily and simultaneou…
N=2 supersymmetric gauge theories and quantum integrable systems
Yuan Luo, Meng-Chwan Tan, Junya Yagi
We study N=2 supersymmetric gauge theories on the product of a two-sphere and a cylinder. We show that the low-energy dynamics of a BPS sector of such a theory is described by a qu…
An M-Theoretic Derivation of a 5d and 6d AGT Correspondence, and Relativistic and Elliptized Integrable Systems
Meng-Chwan Tan
We generalize our analysis in [arXiv:1301.1977], and show that a 5d and 6d AGT correspondence for SU(N) -- which essentially relates the relevant 5d and 6d Nekrasov instanton parti…
A Topological Chern-Simons Sigma Model and New Invariants of Three-Manifolds
Yuan Luo, Meng-Chwan Tan
We construct a topological Chern-Simons sigma model on a Riemannian three-manifold M with gauge group G whose hyperkahler target space X is equipped with a G-action. Via a perturba…
M-Theoretic Derivations of 4d-2d Dualities: From a Geometric Langlands Duality for Surfaces, to the AGT Correspondence, to Integrable Systems
Meng-Chwan Tan
In Part I, we extend our analysis in [arXiv:0807.1107], and show that a mathematically conjectured geometric Langlands duality for complex surfaces in [1], and its generalizations…