\(D\)-branes and topological field theories
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Publication:1909493
DOI10.1016/0550-3213(96)00026-0zbMATH Open1004.81560arXivhep-th/9511222OpenAlexW2059707231MaRDI QIDQ1909493
Author name not available (Why is that?)
Publication date: 13 March 1996
Published in: (Search for Journal in Brave)
Abstract: In the presence of a D-brane a string theory develops a new subsector. We show that for curved D-branes the corresponding sector is a (partially twisted) topological field theory. We use this result to compute the degeneracy of 2-branes wrapped around cycles as well as 3-branes wrapped around CY threefold vanishing 3-cycles. In both cases we find the degeneracy is in accord with expectation. The counting of BPS states of a gas of 0-branes in the presence of a 4-brane in is considered and it is noted that the effective 0-brane charge is shifted by 1, due to a quantum correction. This is in accord with string duality and the fact that left-moving ground state energy of heterotic string starts at . We also show that all the three different topological twistings of four dimensional Yang-Mills theory do arise from curved three-branes embedded in different spaces (Calabi-Yau manifolds and manifolds with exceptional holonomy groups).
Full work available at URL: https://arxiv.org/abs/hep-th/9511222
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