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Stability Conditions For Topological D-branes: A Worldsheet Approach

Kapustin, Anton and Li, Yi (2003) Stability Conditions For Topological D-branes: A Worldsheet Approach. , Pasadena, CA. (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20160505-102849577

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Abstract

We study conditions on the topological D-branes of types A and B obtained by requiring a proper matching of the spectral flow operators on the boundary. These conditions ensure space-time supersymmetry and stability of D-branes. In most cases, we reproduce the results of Marino-Minasian-Moore-Strominger, who studied the same problem using the supersymmetric Born-Infeld action. In some other cases, corresponding to coisotropic A-branes, our stability condition is new. Our results enable us to define an analogue of the Maslov class and grading for coisotropic A-branes. We expect that they play a role in a conjectural generalization of the Floer homology.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0311101arXivDiscussion Paper
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Additional Information:A. K. would like to thank Nigel Hitchin and Dmitri Orlov for discussions. This work was supported in part by the DOE grant DE-FG03-92-ER40701.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Record Number:CaltechAUTHORS:20160505-102849577
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160505-102849577
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66682
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 May 2016 22:31
Last Modified:03 Oct 2019 09:58

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