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: The connection between instanton counting in supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties is discussed in this article, where it is shown that the instanton count in these theories is related to the entropy of supersymmymmetric black holes and how these results are related to wall-crossing properties such as Donaldson-Thomas and Gromov-Witten invariants.
Abstract: We review and elaborate on certain aspects of the connections between instanton counting in
maximally supersymmetric gauge theories and the computation of enumerative invariants of
smooth varieties. We study in detail three instances of gauge theories in six, four, and two
dimensions which naturally arise in the context of topological string theory on certain noncompact
threefolds. We describe how the instanton counting in these gauge theories is related
to the computation of the entropy of supersymmetric black holes and how these results are
related to wall-crossing properties of enumerative invariants such as Donaldson-Thomas and
Gromov-Witten invariants. Some features of moduli spaces of torsion-free sheaves and the
computation of their Euler characteristics are also elucidated.
42 citations
TL;DR: In this article, a topological quantum field theory for magnetic monopoles in an SU(N ) Yang-Mills-Higgs model is presented, which is obtained by fixing the topological action defining the monopole charge.
42 citations
TL;DR: In this article, the authors extend Witten's correspondence to gauge theories with lower supersymmetries, product gauge groups, and fermions and scalars in complex representations.
Abstract: Witten established correspondence between multiparton amplitudes in four-dimensional maximally supersymmetric gauge theory and topological string theory on supertwistor space CP 3|4 . We extend Witten's correspondence to gauge theories with lower supersymmetries, product gauge groups, and fermions and scalars in complex representations. Such gauge theories arise in high-energy limit of the Standard Model of strong and electroweak interactions. We construct such theories by orbifolding prescription. Much like gauge and string theories, such prescription is applicable equally well to topological string theories on supertwistor space. We work out several examples of orbifolds of CP 3|4 that are dual to N = 2,1,0 quiver gauge theories. We study gauged sigma model describing topological B-model on the superorbifolds, and explore mirror pairs with particular attention to the parity symmetry. We check the orbifold construction by studying multiparton amplitudes in these theories with particular attention to those involving fermions in bifundamental representations and interactions involving U(1) subgroups.
41 citations
TL;DR: In this paper, a topologically twisting N = 2 theory with U(1)-symmetry was proposed, which is a generalization of the chiral-dual on-shell symmetry of N = 1 pure supergravity and of the R-symmedy of n = 2 super Yang-Mills theory.
41 citations
TL;DR: In this article, the effective theory of open strings on a stack of FZZT branes is described by the generalized Kontsevich matrix integral, extending the earlier result for pure topological gravity.
Abstract: The exact FZZT brane partition function for topological gravity with matter is computed using the dual two-matrix model. We show how the effective theory of open strings on a stack of FZZT branes is described by the generalized Kontsevich matrix integral, extending the earlier result for pure topological gravity. Using the well-known relation between the Kontsevich integral and a certain shift in the closed-string background, we conclude that these models exhibit open/closed string duality explicitly. Just as in pure topological gravity, the unphysical sheets of the classical FZZT moduli space are eliminated in the exact answer. Instead, they contribute small, nonperturbative corrections to the exact answer through Stokes' phenomenon.
40 citations