• 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, hermitianExpand
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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 novelExpand
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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
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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 onExpand
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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 ofExpand
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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 approachesExpand
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Unifying Lattice Models, Links and Quantum Geometric Langlands via Branes in String Theory.
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 worldvolumeExpand
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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 supersymmetricExpand
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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 theExpand
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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 partitionExpand
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