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Geometry of Topological Defects of Two-dimensional Sigma Models

Kapustin, Anton and Setter, Kevin (2010) Geometry of Topological Defects of Two-dimensional Sigma Models. . (Submitted)

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A topological defect separating a pair of two-dimensional CFTs is a codimension one interface along which all components of the stress-energy tensor glue continuously. We study topological defects of the bosonic, (0,1)- and (0,2)-supersymmetric sigma models in two dimensions. We find a geometric classification of such defects closely analogous to that of A-branes of symplectic manifolds, with the role of symplectic form played instead by a neutral signature metric. Alternatively, we find a compact description in terms of a generalized metric on the product of the targets. In the (0,1) case, we describe the target space geometry of a bundle in which the fermions along the defect take values. In the (0,2) case, we describe the defects as being simultaneously A-branes and B-branes.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Additional Information:(Submitted on 29 Sep 2010) October 1, 2010. K.S. thanks Ketan Vyas for useful discussions. This work was supported in part by the DOE grant DE-FG02-92ER-40701.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER-40701
Record Number:CaltechAUTHORS:20160503-151908685
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66626
Deposited By: Ruth Sustaita
Deposited On:04 May 2016 05:00
Last Modified:03 Oct 2019 09:58

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