Published April 15, 2011
| Published
Journal Article
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Refined matrix models from BPS counting
- Creators
- Sułkowski, Piotr
Abstract
We construct a free fermion and matrix model representation of refined Bogomol'nyi-Prasad-Sommerfeld generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds without compact four-cycles. In appropriate limit we obtain a matrix model representation of refined topological string amplitudes. We consider a few explicit examples which include a matrix model for the refined resolved conifold, or equivalently five-dimensional U(1) gauge theory, as well as a matrix representation of the refined MacMahon function. Matrix models which we construct have ordinary unitary measure, while their potentials are modified to incorporate the effect of the refinement.
Additional Information
© 2011 American Physical Society. Received 10 January 2011; published 21 April 2011. I am grateful to Hirosi Ooguri for inspiring discussions and comments on the manuscript. I thank Andrea Brini, Yu Nakayama, and Jaewon Song for useful, refined conversations. I appreciate kind hospitality of the Simons Workshop in Mathematics and Physics (2010) where parts of this work were done. This research was supported by the DOE Grant No. DE-FG03-92ER40701FG-02 and the European Commission under the Marie-Curie International Outgoing Fellowship Programme.Attached Files
Published - Sulkowski2011p13813Phys_Rev_D.pdf
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Additional details
- Eprint ID
- 23765
- Resolver ID
- CaltechAUTHORS:20110523-102818361
- DE-FG03-92ER40701FG-02
- Department of Energy (DOE)
- European Commission Marie-Curie International Outgoing Fellowship Programme
- Created
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2011-05-24Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field