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Superstrings and Topological Strings at Large N

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arxiv hep-th/0008142 v2 pith:O63WDESN submitted 2000-08-17 hep-th

classification hep-th
keywords systemlargecalabi-yausuperstringscertaindualitygaugemanifolds
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abstract

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on non-compact Calabi-Yau manifolds with certain fluxes turned on. We also show that in a particular limit of the N=1 gauge theory system, certain superpotential terms in the N=1 system (including deformations if spacetime is non-commutative) are captured to all orders in 1/N by the amplitudes of non-critical bosonic strings propagating on a circle with self-dual radius. We also consider D-brane/anti-D-brane system wrapped over vanishing cycles of compact Calabi-Yau manifolds and argue that at large $N$ they induce a shift in the background to a topologically distinct Calabi-Yau, which we identify as the ground state system of the Brane/anti-Brane system.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Formation and scaling of $\mathbb{Z}_N$ strings for global $\mathrm{SU}(N)/\mathbb{Z}_N$ symmetry

    hep-ph 2026-07 conditional novelty 6.0 of 10

    In a global SU(N)/Z_N scalar model, Z_N-string networks with baryon-vertex-like junctions reach a scaling regime for N=2,3,4,5,8, with string density proportional to N^2-1.

  2. K\"ahler moduli stabilization from ten dimensions

    hep-th 2019-08 conditional novelty 6.0 of 10

    In supersymmetric AdS4 string compactifications, the cosmological constant keeps the D7-brane four-cycle at finite size, and matching near and far from the brane reproduces, up to an undetermined coefficient, the KKLT...

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