Authors construct reduced coisotropic A-branes from G-invariant ones on Hamiltonian manifolds and prove that quantization commutes with reduction via Hom isomorphisms for coisotropic branes on cotangent bundles of compact Kähler manifolds.
Topological Chern-Simons/Matter Theories
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice of such a structure, but not on a choice of metric and in this sense, it is topological. We argue that this theory arises in topological A-model string theory on Lagrangian 3-branes in the presence of additional parallel coisotropic 5-branes. The theory obtained in this way is equivalent to an N=2 supersymmetric Chern-Simons matter theory on the same 3-manifold, which also only depends on the THF structure. The theory is a realization of a topological theory of class H, which allows splitting of a temporal direction from spatial directions. We briefly discuss potential condensed matter applications.
verdicts
UNVERDICTED 3representative citing papers
Proves UV finiteness and dimension-dependent vanishing of anomaly obstructions for topological-holomorphic field theories on R^{d'} × C^d, allowing consistent quantization via factorization algebras.
A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.
citing papers explorer
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Quantization commutes with reduction for coisotropic A-branes
Authors construct reduced coisotropic A-branes from G-invariant ones on Hamiltonian manifolds and prove that quantization commutes with reduction via Hom isomorphisms for coisotropic branes on cotangent bundles of compact Kähler manifolds.
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On the renormalization and quantization of topological-holomorphic field theories
Proves UV finiteness and dimension-dependent vanishing of anomaly obstructions for topological-holomorphic field theories on R^{d'} × C^d, allowing consistent quantization via factorization algebras.
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Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.