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We study compactifications of the $N=2$ 6D tensionless string on various complex two-folds down to two-dimensions. In the IR limit they become non-trivial conformal field theories in 2D. Using results of Vafa and Witten on the partition…

High Energy Physics - Theory · Physics 2008-02-03 Ori J. Ganor

We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr\rho_A^n for any integer n is calculated as the four-point function of a particular type of twist fields…

High Energy Physics - Theory · Physics 2009-12-03 Pasquale Calabrese , John Cardy , Erik Tonni

Type 0A string theory in the (2,4k) superconformal minimal model backgrounds and the bosonic string in the (2,2k-1) conformal minimal models, while perturbatively identical in some regimes, may be distinguished non-perturbatively using…

High Energy Physics - Theory · Physics 2010-11-04 Clifford V. Johnson

Recently M. Kontsevich found a combinatorial formula defining a star-product of deformation quantization for any Poisson manifold. Kontsevich's formula has been reinterpreted physically as quantum correlation functions of a topological…

High Energy Physics - Theory · Physics 2009-10-31 Hugo Garcia-Compean , Jerzy F. Plebanski

The method of topological vertex for topological string theory on toric Calabi-Yau 3-folds is reviewed. Implications of an explicit formula of partition functions in the "on-strip" case, typically the generalized conifolds, are considered.…

Mathematical Physics · Physics 2015-04-21 Kanehisa Takasaki

We derive a compact and explicit expression for the generating functional of all correlation functions of tachyon operators in 2D string theory. This expression makes manifest relations of the $c=1$ system to KP flow and $W_{1+\infty}$…

High Energy Physics - Theory · Physics 2011-10-11 R. Dijkgraaf , G. Moore , R. Plesser

We study some aspects of asymmetric orbifolds of tori, with the orbifold group being some $\mathbb{Z}_N$ subgroup of the T-duality group and, in particular, provide a concrete understanding of certain phase factors that may accompany the…

High Energy Physics - Theory · Physics 2015-11-24 H. S. Tan

We study path-integrals over reparametrizations of the world-sheet boundary. Such integrals arise when string propagates between fixed space-time contours. In gauge/string duality they are needed to describe gauge theory Wilson loops. We…

High Energy Physics - Theory · Physics 2009-11-07 Vyacheslav S. Rychkov

D-branes intersecting at an arbitrary fixed angle generically constitute a configuration unstable toward recombination. The reconnection of the branes nucleates at the intersection point and involves a generalization of the process of brane…

High Energy Physics - Theory · Physics 2009-11-10 Nicholas T. Jones , S. -H. Henry Tye

Following the idea of Refs.[1,2], the double-copy-like decomposition of exchanged internal states in the world-line limit of one-loop string amplitudes is systematically formulated and generalized to both bosonic and heterotic string…

High Energy Physics - Theory · Physics 2026-02-03 Yao Li

Closed strings can be seen either as one-dimensional objects in a target space or as points in the free loop space. Correspondingly, a B-field can be seen either as a connection on a gerbe over the target space, or as a connection on a line…

Mathematical Physics · Physics 2023-03-27 Severin Bunk , Konrad Waldorf

We clarify certain aspects and discuss extensions of the recently introduced string D-instanton calculus (hep-th/0609191). The one-loop determinants are related to one-loop open string threshold corrections in intersecting D6-brane models.…

High Energy Physics - Theory · Physics 2009-10-07 Nikolas Akerblom , Ralph Blumenhagen , Dieter Lust , Maximilian Schmidt-Sommerfeld

We give the complete twisted Yukawa couplings for all the Z_n orbifold constructions in the most general case, i.e. when orbifold deformations are considered. This includes a certain number of tasks. Namely, determination of the allowed…

High Energy Physics - Theory · Physics 2015-06-26 J. A. Casas , F. Gomez , C. Muñoz

We show that the topological string partition function with D-branes on a compact Calabi-Yau manifold has new anomalies that spoil the recursive structure of the holomorphic anomaly equation and introduce dependence on wrong moduli (such as…

High Energy Physics - Theory · Physics 2009-09-17 Paul L. H. Cook , Hirosi Ooguri , Jie Yang

We find the orbifold analog of the topological relation recently found by Freed and Witten which restricts the allowed D-brane configurations of Type II vacua with a topologically non-trivial flat $B$-field. The result relies in Douglas…

High Energy Physics - Theory · Physics 2009-10-31 Jaume Gomis

We propose a formalism inspired by matrix models to compute open and closed topological string amplitudes in the B-model on toric Calabi-Yau manifolds. We find closed expressions for various open string amplitudes beyond the disk, and in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

Wilson loop elements on torus are introduced into the partition function of open strings as Polyakov's path integral at one-loop level. Mass spectra from compactification and expected symmetry breaking are illustrated by choosing the…

High Energy Physics - Theory · Physics 2012-08-28 Kiyoshi Shiraishi

We study the D-brane spectrum of N=2 string orbifold theories using the boundary state formalism. The construction is carried out for orbifolds with isolated singularities, non-isolated singularities and orbifolds with discrete torsion. Our…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Jaume Gomis

We calculate the string loop corrections to the tachyon potential for stable non-BPS Dp-branes on the orbifold T^4/Z_2. We find a non-trivial phase structure and we show that, after tachyon condensation, the non-BPS Dp-branes are attracted…

High Energy Physics - Theory · Physics 2010-02-03 N. D. Lambert , I. Sachs

The interplay between gravitational couplings on branes and the occurrence of fractional flux in low dimensional orientifolds is examined. It is argued that gravitational couplings need to be assigned not only to D-branes but also to…

High Energy Physics - Theory · Physics 2009-10-30 Keshav Dasgupta , Dileep P. Jatkar , Sunil Mukhi