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SO(N) reformulated link invariants from topological strings

DSpace at IIT Bombay

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Field Value
 
Title SO(N) reformulated link invariants from topological strings
 
Creator BORHADE, PRAVINA
RAMADEVI, P
 
Subject topology
string theory
chern-simons theory
so groups
 
Description Large N duality conjecture between U(N) Chern–Simons gauge theory on S3 and A-model topological string theory on the resolved conifold was verified at the level of partition function and Wilson loop observables. As a consequence, the conjectured form for the expectation value of the topological operators in A-model string theory led to a reformulation of link invariants in U(N) Chern–Simons theory giving new polynomial invariants whose integer coefficients could be given a topological meaning. We show that the A-model topological operator involving SO(N) holonomy leads to a reformulation of link invariants in SO(N) Chern–Simons theory. Surprisingly, the SO(N) reformulated invariants also has a similar form with integer coefficients. The topological meaning of the integer coefficients needs to be explored from the duality conjecture relating SO(N) Chern–Simons theory to A-model closed string theory on orientifold of the resolved conifold background.
 
Publisher Elsevier
 
Date 2009-03-20T05:56:49Z
2011-11-25T19:44:22Z
2011-12-26T13:07:52Z
2011-12-27T05:55:53Z
2009-03-20T05:56:49Z
2011-11-25T19:44:22Z
2011-12-26T13:07:52Z
2011-12-27T05:55:53Z
2005
 
Type Article
 
Identifier Nuclear Physics B 727(3), 471-498
0550-3213
http://dx.doi.org/10.1016/j.nuclphysb.2005.08.027
http://hdl.handle.net/10054/1016
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1016
 
Language en