Topic
Topological string theory
About: Topological string theory is a research topic. Over the lifetime, 1206 publications have been published within this topic receiving 54758 citations.
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TL;DR: In this article, the relation between perturbative knot invariants and the free energies defined by topological string theory on the character variety of the knot was studied beyond the sub-leading order in the perturbation expansion on both sides.
127 citations
TL;DR: In this paper, the partition function of an extended, but otherwise β-independent, holomorphic anomaly equation of special geometry has been shown to satisfy, for generic value of the parameter $$ β=-{\epsilon_1}/{\epsilon_2}}$, the, in general extended and βindependent, anomaly equation.
Abstract: The partition function of an $${\mathcal {N}=2}$$
gauge theory in the Ω-background satisfies, for generic value of the parameter $${\beta=-{\epsilon_1}/{\epsilon_2}}$$
, the, in general extended, but otherwise β-independent, holomorphic anomaly equation of special geometry. Modularity together with the (β-dependent) gap structure at the various singular loci in the moduli space completely fixes the holomorphic ambiguity, also when the extension is non-trivial. In some cases, the theory at the orbifold radius, corresponding to β = 2, can be identified with an “orientifold” of the theory at β = 1. The various connections give hints for embedding the structure into the topological string.
126 citations
TL;DR: In this article, the conditions for the cancellation of all gauge, gravitational, and mixed anomalies of N = 1 supersymmetric models in six dimensions are reviewed and illustrated by a number of examples.
125 citations
TL;DR: In this paper, a simple string bit formalism for interacting strings in a plane wave background, in terms of supersymmetric quantum mechanics with a symmetric product target-space, was proposed.
Abstract: We propose a simple string bit formalism for interacting strings in a plane wave background, in terms of supersymmetric quantum mechanics with a symmetric product target-space. We construct the light-cone supersymmetry generators and hamiltonian at finite string coupling. We find a precise match between string amplitudes and the non-planar corrections to the correlation functions of BMN operators computed from gauge theory, and conjecture that this correspondence extends to all orders in perturbation theory. We also give a simple RG explanation for why the effective string coupling is g2 = J2/N instead of gs = gym2.
125 citations
TL;DR: A manifestly covariant field theory for the interacting bosonic open string was constructed in this paper, which is invariant under an inhomogeneous nilpotent BRS transformation, and the on-shell scattering amplitudes in this theory reproduce the Koba-Nielsen amplitudes at the tree level.
123 citations