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- W3100601311 abstract "We study a Lie algebra of formal vector fields W n with its application to the perturbative deformed holomorphic symplectic structure in the A-model, and a Calabi–Yau manifold with boundaries in the B-model. A relevant concept in the vertex operator algebra and the BRST cohomology is that of the elliptic genera (the one-loop string partition function). We show that the elliptic genera can be written in terms of spectral functions of the hyperbolic three-geometry (which inherits the cohomology structure of BRST-like operator). We show that equivalence classes of deformations are described by a Hochschild cohomology theory of the DG-algebra [Formula: see text], which is defined to be the cohomology of (-1) n Q + d Hoch . Here, [Formula: see text] is the initial nondeformed BRST operator while ∂ deform is the deformed part whose algebra is a Lie algebra of linear vector fields gl n . We discuss the identification of the harmonic structure (HT • (X);HΩ • (X)) of affine space X and the group [Formula: see text] (the HKR isomorphism), and bulk-boundary deformation pairing." @default.
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- W3100601311 date "2013-06-28" @default.
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- W3100601311 title "BRST-INVARIANT DEFORMATIONS OF GEOMETRIC STRUCTURES IN TOPOLOGICAL FIELD THEORIES" @default.
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- W3100601311 doi "https://doi.org/10.1142/s0217751x13500693" @default.
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