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We develop the harmonic space method for conifold and use it to study local complex deformations of $T^{\ast}S^{3}$ preserving manifestly $SL(2,C) $ isometry. We derive the perturbative manifestly $SL(2,C) $ invariant partition function…

High Energy Physics - Theory · Physics 2008-11-26 El Hassan Saidi , Moulay Brahim Sedra

We consider the Topological String/Spectral theory duality on toric Calabi-Yau threefolds obtained from the resolution of the cone over the $Y^{N,0}$ singularity. Assuming Kyiv formula, we demonstrate this duality in a special regime thanks…

High Energy Physics - Theory · Physics 2025-07-04 Pavlo Gavrylenko , Alba Grassi , Qianyu Hao

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant…

High Energy Physics - Theory · Physics 2009-10-30 Christiaan Hofman , Jae-Suk Park

We show that the BRST quantum version of pure D=4 N=2 supergravity can be topologically twisted, to yield a formulation of topological gravity in four dimensions. The topological BRST complex is just a rearrangement of the old BRST complex,…

High Energy Physics - Theory · Physics 2014-11-18 Damiano Anselmi , Pietro Fre

Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such…

High Energy Physics - Theory · Physics 2013-11-01 Doron Gepner , Herve Partouche

The $SL(2,R)/U(1)$ gauged WZWN model is modified by a topological term and the accompanying change in the geometry of the two dimensional target space is determined. The possibility of this additional term arises from a symmetry in the…

High Energy Physics - Theory · Physics 2009-10-22 N. Mohammedi

We conjecture a relation between the sl(N) knot homology, recently introduced by Khovanov and Rozansky, and the spectrum of BPS states captured by open topological strings. This conjecture leads to new regularities among the sl(N) knot…

High Energy Physics - Theory · Physics 2009-11-10 Sergei Gukov , Albert Schwarz , Cumrun Vafa

We prove that critical and subcritical N=2 string theory gives a realization of an N=2 superfield extension of the topological conformal algebra. The essential observation is the vanishing of the background charge.

High Energy Physics - Theory · Physics 2009-10-22 J. Gomis , H. Suzuki

We investigate toric GLSMs as models for tachyon condensation in type II strings on space-time non-supersymmetric orbifold singularities. The A-model correlators in these theories satisfy a set of relations related to the topology of the…

High Energy Physics - Theory · Physics 2011-10-11 Ilarion V. Melnikov , M. Ronen Plesser

We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without branes. We derive the refined topological vertex of hep-th/0701156 and hep-th/0502061 from a link invariant of…

High Energy Physics - Theory · Physics 2012-10-11 Mina Aganagic , Shamil Shakirov

We interpret the A and B model topological strings on CP^{3|4} as equivalent to open N=2 string theory on spacetime with signature (2,2), when covariantized with respect to SO(2,2) and supersymmetrized a la Siegel. We propose that…

High Energy Physics - Theory · Physics 2007-05-23 Andrew Neitzke , Cumrun Vafa

We explore \emph{folded} spinning string configurations over torsional Newton Cartan (TNC) geometry with $ R\times S^2 $ topology within the semiclassical approximation. We consider the large $ c $ and/or nonrelativistic (NR) limit…

High Energy Physics - Theory · Physics 2020-08-03 Dibakar Roychowdhury

We obtain a bosonization prescription that allows to represent the energy-momentum tensor and supersymmetry generators of non-critical superstring theories with minimal matter as those of topological supergravity. Superstrings with $N=1$…

High Energy Physics - Theory · Physics 2009-10-28 A. V. Ramallo , S. Roy , J. M. Sanchez de Santos

We study two-dimensional conformal field theories generated from a ``symplectic fermion'' - a free two-component fermion field of spin one - and construct the maximal local supersymmetric conformal field theory generated from it. This…

High Energy Physics - Theory · Physics 2011-05-05 Horst G. Kausch

We extend the concept of strange correlators, defined for symmetry-protected phases in [You et al., Phys. Rev. Lett. 112, 247202 (2014)], to topological phases of matter by taking the inner product between string-net ground states and…

We study the topological string on local P2 with O-plane and D-brane at its real locus, using three complementary techniques. In the A-model, we refine localization on the moduli space of maps with respect to the torus action preserved by…

High Energy Physics - Theory · Physics 2009-02-05 Daniel Krefl , Johannes Walcher

We show how a suitably twisted Spin-cobordism spectrum connects to the question of existence of metrics of positive scalar curvature on closed, smooth manifolds by building on fundamental work of Gromov, Lawson, Rosenberg, Stolz and others.…

Algebraic Topology · Mathematics 2019-08-21 Fabian Hebestreit , Michael Joachim

We study the Borel summation of the Gromov-Witten potential for the resolved conifold. The Stokes phenomena associated to this Borel summation are shown to encode the Donaldson-Thomas invariants of the resolved conifold, having a direct…

High Energy Physics - Theory · Physics 2022-11-29 Murad Alim , Arpan Saha , Joerg Teschner , Iván Tulli

It is observed that three-dimensional G\"odel black holes can be promoted to exact string theory backgrounds through an orbifold of an hyperbolic asymmetric marginal deformation of the SL(2,R) WZW model. Tachyons are found in the spectrum…

High Energy Physics - Theory · Physics 2008-12-18 Geoffrey Compère , Stéphane Detournay , Mauricio Romo

We propose an equivalence between topological string on OSP(1|2)/U(1) and \hat{c} \leq 1 superstring with N=1 world-sheet supersymmetry. We examine this by employing a free field representation of OSP(1|2) WZNW model and find an agreement…

High Energy Physics - Theory · Physics 2009-10-02 Gaston Giribet , Yasuaki Hikida , Tadashi Takayanagi