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.

String theory, gauge theory and quantum gravity '93 : proceedings of the Trieste Spring School & Workshop ICTP, Trieste, Italy, April 19-29, 1993

Abstract: Exact Results for Two-Dimensional N=2 Supersymmetric Theories, S. Cecotti Developments in 2D String Theory, A. Jevicki A String Project in Multicolour QCD, V. Kazakov Matrix Models and String Theory, I. Klebanov Black Hole Evaporation and Quantum Gravity, H. Verlinde Barriers in Quantum Gravity, J. Ambjorn Two-Dimensional Black Hole and Nonperturbative String Theory, A. Dhar U(N) Gauge Theory and Lattice Strings, I. Kostov Applications of 0(d,d) Transformations to Generate New Geometries, J. Maharana Quantization of Mirror Symmetry, H. Ooguri W-Strings 93, C. Pope and other papers.

Bootstrapping Calabi-Yau Quantum Mechanics.

Abstract: Recently, a novel bootstrap method for numerical calculations in matrix models and quantum mechanical systems is proposed. We apply the method to certain quantum mechanical systems derived from some well-known local toric Calabi-Yau geometries, where the exact quantization conditions have been conjecturally related to topological string theory. We find that the bootstrap method provides a promising alternative for the precision numerical calculations of the energy eigenvalues. An improvement in our approach is to use a larger set of two-dimensional operators instead of one-dimensional ones. We also apply our improved bootstrap methods to some non-relativistic models in the recent literature and demonstrate better numerical accuracies.

From the quantum geometry of Fuchsian systems to conformal blocks of W-algebras

Abstract: We consider the moduli space of holomorphic principal bundles for reductive Lie groups over Riemann surfaces (possibly with boundaries) and equipped with meromorphic connections. We associate to this space a point-wise notion of quantum spectral curve whose generalized periods define a new set of moduli. We define homology cycles and differential forms of the quantum spectral curve, allowing to derive quantum analogs of the form-cycle duality and Riemann bilinear identities of classical geometry. A tau-function is introduced for this system in the form of a theta-series and in such a way that the variations of its coefficients with respect to moduli, isomonodromic or not, can be computed as quantum period integrals. This lays new grounds to relate our study to that of integrable hierarchies, isomonodromic deformation of meromorphic connections and non-perturbative topological string theory. In turn, we define amplitudes on the quantum spectral curve which have an interpretation in conformal field theory when the Lie algebra is assumed to be simply-laced: they coincide with correlation functions involving twisted chiral fields of an affine Lie algebra at level one. The singularities at the punctures are interpreted as primary fields of the associated Casimir W-algebra. The amplitudes are moreover related by W-constraints, so-called loop equations, allowing one to compute recursively a certain asymptotic expansion of the tau-function, namely the one corresponding both to the heavy-charge regime of conformal field theory and to the weak-coupling regime of topological string theory.

Thermofield dynamics extension of the open string field theory

Abstract: We study the application of the rules of thermofield dynamics (TFD) to the covariant formulation of open-string field theory. We extend the states space and fields according to the duplication rules of TFD and construct the corresponding classical action. The result is interpreted as a theory whose fields would encode the statistical information of open strings. The physical spectrum of the free theory is studied through the cohomology of the extended Becchi, Rouet, Stora and Tyutin (BRST) charge, and, as a result, we get new fields in the spectrum emerging by virtue of the quantum entanglement, and, noticeably, it presents degrees of freedom that could be identified as those of closed strings. We also show, however, that their appearing in the action is directly related to the choice of the inner product in the extended algebra, so that different sectors of fields could be eliminated from the theory by choosing that product conveniently. Finally, we study the extension of the three-vertex interaction and provide a simple prescription for it of which the results at tree level agree with those of the conventional theory.