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U(N) framed links, three-manifold invariants, and topological strings

DSpace at IIT Bombay

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Title U(N) framed links, three-manifold invariants, and topological strings
 
Creator BORHADE, PRAVINA
RAMADEVI, P
SARKAR, TAPOBRATA
 
Subject chern-simons theory
free energy
dual models
string theory
 
Description Three-manifolds can be obtained through surgery of framed links in S3. We study the meaning of surgery procedures in the context of topological strings. We obtain U(N) three-manifold invariants from U(N) framed link invariants in Chern–Simons theory on S3. These three-manifold invariants are proportional to the Chern–Simons partition function on the respective three-manifolds. Using the topological string duality conjecture, we show that the large N expansion of U(N) Chern–Simons free energies on three-manifolds, obtained from some class of framed links, have a closed string expansion. These expansions resemble the closed string A-model partition functions on Calabi–Yau manifolds with one Kahler parameter. We also determine Gopakumar–Vafa integer coefficients and Gromov–Witten rational coefficients corresponding to Chern–Simons free energies on some three-manifolds.
 
Publisher Elsevier
 
Date 2009-03-20T05:56:29Z
2011-11-25T19:43:22Z
2011-12-26T13:08:45Z
2011-12-27T05:34:05Z
2009-03-20T05:56:29Z
2011-11-25T19:43:22Z
2011-12-26T13:08:45Z
2011-12-27T05:34:05Z
2004
 
Type Article
 
Identifier Nuclear Physics B 678(3), 656-681
0550-3213
http://dx.doi.org/10.1016/j.nuclphysb.2003.11.023
http://hdl.handle.net/10054/1014
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1014
 
Language en