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Chern-Simons Theory and Topological Strings

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arxiv hep-th/0406005 v4 pith:X3GKPPEL submitted 2004-06-01 hep-th

Chern-Simons Theory and Topological Strings

classification hep-th
keywords theorystringtopologicalcalabi-yauchern-simonsgaugerelationsolution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in the string coupling constant. We focus on the construction of this solution, which is encoded in the topological vertex, and we emphasize the implications of the physics of string/gauge theory duality for knot theory and for the geometry of Calabi-Yau manifolds.

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Cited by 2 Pith papers

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    Coadjoint-orbit bosonization of the Hořava-Keeler noncritical M-theory Fermi liquid yields a continuous family of interacting 1+1d chiral bosons whose density correlators match the exact Fermi liquid semiclassically.

  2. Analyticity, asymptotics and natural boundary for a one-point function of the finite-volume critical Ising chain

    math-ph 2026-04 unverdicted novelty 6.0

    The spin one-point function in the critical Ising chain has a natural boundary of analyticity on the negative real axis after Borel resummation, with singularities matching those of an odd-divisor sum series.