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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, it was shown that the simple measure (the product of differentials of all the fields) is BRST invariant, thus maintaining the invariance of the gauge-fixed action at the quantum level.
12 citations
TL;DR: In this paper, a topological Abelian gauge theory that generalizes the Abelian Chern-Simons one was studied, which leads in a natural way to the Milnor's link invariant when the classical action on-shell is calculated.
Abstract: We study a topological Abelian gauge theory that generalizes the Abelian Chern–Simons one, and that leads in a natural way to the Milnor's link invariant when the classical action on-shell is calculated.
12 citations
01 Jan 2008
TL;DR: In this article, the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states beyond the thermodynamical, large charge limit is discussed.
Abstract: In these lecture notes, we review some recent developments on the relation between the macroscopic entropy of four-dimensional BPS black holes and the microscopic counting of states beyond the thermodynamical, large charge limit. After a brief overview of charged black holes in supergravity and string theory, we give an extensive introduction to special and very special geometry, attractor flows and topological string theory, including holomorphic anomalies. We then expose the Ooguri-Strominger-Vafa (OSV) conjecture which relates microscopic degeneracies to the topological string amplitude, and review precision tests of this formula on “small” black holes. Finally, motivated by a holographic interpretation of the OSV conjecture, we give a systematic approach to the radial quantization of BPS black holes (i.e. quantum attractors). This suggests the existence of a one-parameter generalization of the topological string amplitude and provides a general framework for constructing automorphic partition functions for black hole degeneracies in theories with sufficient degree of symmetry.
12 citations
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TL;DR: In recent years, the picture has been extended to compactifications of supersymmetric Yang-Mills theory in seven, eight or nine dimensions as discussed by the authors, and the fundamental role played by Higgs bundles in this story.
Abstract: String phenomenology is the branch of string theory concerned with making contact with particle physics. The original models involved compactifying ten-dimensional supersymmetric Yang-Mills theory on an internal Calabi-Yau three-fold. In recent years, this picture has been extended to compactifications of supersymmetric Yang-Mills theory in seven, eight or nine dimensions. We review some of this progress and explain the fundamental role played by Higgs bundles in this story.
12 citations
Posted Content•
TL;DR: In this article, the authors study topological string theory on elliptically fibered Calabi-Yau threefolds using mirror symmetry and find that the fiber moduli dependence is captured by a finer polynomial structure in terms of modular forms of the modular group of the elliptic curve.
Abstract: We study topological string theory on elliptically fibered Calabi-Yau threefolds using mirror symmetry. We compute higher genus topological string amplitudes and express these in terms of polynomials of functions constructed from the special geometry of the moduli space. The polynomials are fixed by the holomorphic anomaly equations supplemented by the expected behavior at the boundary in moduli space. We further expand the amplitudes in the base moduli of the elliptic fibration and find that the fiber moduli dependence is captured by a finer polynomial structure in terms of the modular forms of the modular group of the elliptic curve. We further find a recursive equation which governs this finer structure and which can be related to the anomaly equations for correlation functions.
12 citations