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Framed knots at large N

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arxiv hep-th/0108064 v1 pith:7NKXK2JJ submitted 2001-08-09 hep-th math.AG

Framed knots at large N

Marcos Marino , Cumrun Vafa This is my paper
classification hep-th math.AG
keywords largeamplitudesgaugeleadstopologicalcertainchern-simonsclasses
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the framing dependence of the Wilson loop observable of U(N) Chern-Simons gauge theory at large N. Using proposed geometrical large N dual, this leads to a direct computation of certain topological string amplitudes in a closed form. This yields new formulae for intersection numbers of cohomology classes on moduli of Riemann surfaces with punctures (including all the amplitudes of pure topological gravity in two dimensions). The reinterpretation of these computations in terms of BPS degeneracies of domain walls leads to novel integrality predictions for these amplitudes. Moreover we find evidence that large N dualities are more naturally formulated in the context of U(N) gauge theories rather than SU(N).

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Cited by 3 Pith papers

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