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Publications Influence

Two-dimensional twisted sigma models and the theory of chiral differential operators

- M. Tan
- Mathematics, Physics
- 25 April 2006

In this paper, we study the perturbative aspects of a twisted version of the two-dimensional $(0,2)$ heterotic sigma model on a holomorphic gauge bundle $\mathcal E$ over a complex, hermitian… Expand

44 2- PDF

Integration over the u-plane in Donaldson theory with surface operators

- M. Tan
- Physics, Mathematics
- 21 December 2009

We generalize the analysis by Moore and Witten in [hep-th/9709193], and consider integration over the u-plane in Donaldson theory with surface operators on a smooth four-manifold X. Several novel… Expand

11 2- PDF

Chiral Algebras of (0, 2) Models: Beyond Perturbation Theory

We show that the chiral algebras of $${\mathcal{N} = (0, 2)}$$ sigma models with no left-moving fermions are totally trivialized by worldsheet instantons for flag manifold target spaces.… Expand

31 1- PDF

Four-dimensional N$$ \mathcal{N} $$ = 2 supersymmetric theory with boundary as a two-dimensional complex Toda theory

A bstractWe perform a series of dimensional reductions of the 6d, N$$ \mathcal{N} $$ = (2, 0) SCFT on S2 × Σ × I × S1 down to 2d on Σ. The reductions are performed in three steps: (i) a reduction on… Expand

2 1- PDF

Supersymmetric Surface Operators, Four-Manifold Theory and Invariants in Various Dimensions

- M. Tan
- Mathematics, Physics
- 16 June 2010

We continue our program initiated in [arXiv:0912.4261] to consider supersymmetric surface operators in a topologically-twisted N=2 pure SU(2) gauge theory, and apply them to the study of… Expand

7 1- PDF

AN INVESTIGATION OF SYMMETRY OPERATIONS WITH CLIFFORD ALGEBRA

The geometric algebra produces the new elds of view in the modern mathematical physics, denition of bodies and rearranging for equations of mathematics and physics. The new mathematical approaches… Expand

1 1

Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory.

- M. Ashwinkumar, M. Tan
- Physics, Geology
- 2 October 2019

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 worldvolume… Expand

2 1- PDF

Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence

A bstractWe study Ω-deformation of B-twisted gauge theories in two dimensions. As an application, we construct an Ω-deformed, topologically twisted five-dimensional maximally supersymmetric… Expand

14 1- PDF

Two-dimensional twisted sigma models, the mirror chiral de Rham complex, and twisted generalised mirror symmetry

- M. Tan
- Physics, Mathematics
- 6 May 2007

In this paper, we study the perturbative aspects of a ``B-twisted" two-dimensional (0,2) heterotic sigma model on a holomorphic gauge bundle over a complex, hermitian manifold X. We show that the… Expand

23 1- PDF

An M-theoretic derivation of a 5d and 6d AGT correspondence, and relativistic and elliptized integrable systems

- M. Tan
- Physics, Mathematics
- 18 September 2013

A bstractWe 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 partition… Expand

40- PDF

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