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Tapobrata Sarkar

Bio: Tapobrata Sarkar is an academic researcher from Institute of Mathematical Sciences, Chennai. The author has contributed to research in topics: String (physics) & Brane. The author has an hindex of 4, co-authored 9 publications receiving 159 citations. Previous affiliations of Tapobrata Sarkar include International Centre for Theoretical Physics.

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TL;DR: In this paper, the boundary states are obtained by applying Cardy's procedure to combinations of characters in the Gepner models which are invariant under spectral flow, and an extension to the boundary is provided.

105 citations

Journal ArticleDOI
TL;DR: In this article, the meaning of surgery procedures in the context of topological strings was studied and it was shown that three-manifolds can be obtained through surgery of framed links in S 3.

23 citations

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TL;DR: In this article, the decay of non-supersymmetric orbifold singularities from the point of view of D-brane probes is studied from the perspective of toric geometry of the probe branes.

20 citations

Journal ArticleDOI
TL;DR: In this paper, the decay of non-supersymmetric orbifold singularities from the point of view of D-brane probes is studied from the perspective of toric geometry of the probe branes.
Abstract: We study non-supersymmetric orbifold singularities from the point of view of D-brane probes. We present a description of the decay of such singularities from considerations of the toric geometry of the probe branes.

7 citations

Journal ArticleDOI
TL;DR: In this paper, the boundary states of the Gepner models are obtained by applying Cardy's procedure to combinations of characters in the GEPNER models which are invariant under spectral flow.
Abstract: We consider D-branes wrapped around supersymmetric cycles of Calabi-Yau manifolds from the viewpoint of N=2 Landau-Ginzburg models with boundary as well as by consideration of boundary states in the corresponding Gepner models. The Landau-Ginzburg approach enables us to provide a target space interpretation for the boundary states. The boundary states are obtained by applying Cardy's procedure to combinations of characters in the Gepner models which are invariant under spectral flow. We are able to relate the two descriptions using the common discrete symmetries of the two descriptions. We are thus able to provide an extension to the boundary of the bulk correspondence between Landau-Ginzburg orbifolds and the corresponding Gepner models.

3 citations


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TL;DR: In this paper, the authors studied (2,2) supersymmetric field theories on two-dimensional worldsheet with boundaries and determined D-branes (boundary conditions and boundary interactions) that preserve half of the bulk supercharges in nonlinear sigma models.
Abstract: We study (2,2) supersymmetric field theories on two-dimensional worldsheet with boundaries. We determine D-branes (boundary conditions and boundary interactions) that preserve half of the bulk supercharges in nonlinear sigma models, gauged linear sigma models, and Landau-Ginzburg models. We identify a mechanism for brane creation in LG theories and provide a new derivation of a link between soliton numbers of the massive theories and R-charges of vacua at the UV fixed point. Moreover we identify Lagrangian submanifolds that arise as the mirror of certain D-branes wrapped around � �

639 citations

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TL;DR: In this article, it was shown that boundary conditions in topological open string theory on Calabi-Yau (CY) manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry proposal of Kontsevich.
Abstract: We show that boundary conditions in topological open string theory on Calabi–Yau (CY) manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry proposal of Kontsevich. Together with conformal field theory considerations, this leads to a precise criterion determining the supersymmetry preserving branes at any point in CY moduli space, completing the proposal of II-stability.

512 citations

Journal ArticleDOI
TL;DR: In this article, the authors studied topological D-branes of type B in N = 2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap.
Abstract: We study topological D-branes of type B in N = 2 Landau-Ginzburg models, focusing on the case where all vacua have a mass gap. In general, tree-level topological string theory in the presence of topological D-branes is described mathematically in terms of a triangulated category. For example, it has been argued that B-branes for an N = 2 sigma-model with a Calabi-Yau target space are described by the derived category of coherent sheaves on this space. M. Kontsevich previously proposed a candidate category for B-branes in N = 2 Landau-Ginzburg models, and our computations confirm this proposal. We also give a heuristic physical derivation of the proposal. Assuming its validity, we can completely describe the category of B-branes in an arbitrary massive Landau-Ginzburg model in terms of modules over a Clifford algebra. Assuming in addition Homological Mirror Symmetry, our results enable one to compute the Fukaya category for a large class of Fano varieties. We also provide a (somewhat trivial) counter-example to the hypothesis that given a closed string background there is a unique set of D-branes consistent with it.

345 citations

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TL;DR: In this article, the boundary conformal field theory approach is used to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength.
Abstract: Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength. For branes on an $S^3$, the low-energy effective action is computed to leading order in the string tension. It turns out to be a field theory on a non-commutative `fuzzy 2-sphere' which consists of a Yang-Mills and a Chern-Simons term. We find a certain set of classical solutions that have no analogue for flat branes in Euclidean space. These solutions show, in particular, how a spherical brane can arise as bound state from a stack of D0-branes.

235 citations

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TL;DR: In this paper, an open-string generalization of Vafa's formula for closed-string topological correlators has been proposed for the case of Landau-Ginzburg orbifolds.
Abstract: We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa's formula for closed-string topological correlators. We discuss how to extend our results to the case of Landau-Ginzburg orbifolds.

218 citations