Kapustin, Anton and Setter, Kevin
(2010)
*Geometry of Topological Defects of Two-dimensional Sigma Models.*
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(Submitted)
http://resolver.caltech.edu/CaltechAUTHORS:20160503-151908685

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## Abstract

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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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. | ||||||

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Record Number: | CaltechAUTHORS:20160503-151908685 | ||||||

Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20160503-151908685 | ||||||

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ID Code: | 66626 | ||||||

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Deposited By: | Ruth Sustaita | ||||||

Deposited On: | 04 May 2016 05:00 | ||||||

Last Modified: | 27 Oct 2017 18:38 |

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