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We show that topological strings on a class of non-compact Calabi-Yau threefolds is equivalent to two dimensional bosonic U(N) Yang-Mills on a torus. We explain this correspondence using the recent results on the equivalence of the…

High Energy Physics - Theory · Physics 2007-05-23 Cumrun Vafa

We study $\textrm{AdS}_2\times S^4 \times S^2 \times \Sigma_2$ solutions in type IIB string theory arising from D1 -- D3 -- NS5 brane intersections. These backgrounds enjoy sixteen supercharges and the corresponding internal geometry is…

High Energy Physics - Theory · Physics 2020-01-22 Giuseppe Dibitetto , Yolanda Lozano , Nicolò Petri , Anayeli Ramirez

We suggest that compactifications on Anti-de-Sitter (AdS) spaces of type IIA, IIB, heterotic strings and eleven dimensional vacuua of M-theory are related by a combination of $T$ and strong/weak dualities. Maldacena conjecture relates then…

High Energy Physics - Theory · Physics 2007-05-23 Karim Benakli

We develop a new formalism for the bosonic sector of low-energy heterotic string theory toroidally compactified to three dimensions. This formalism is based on the use of some single non-quadratic real matrix potential which transforms…

High Energy Physics - Theory · Physics 2014-11-18 Oleg V. Kechkin

Continuing the program initiated in arXiv:1304.1798 we investigate unitarity methods applied to two-dimensional integrable field theories. The one-loop computation is generalized to encompass theories with different masses in the asymptotic…

High Energy Physics - Theory · Physics 2015-06-19 Lorenzo Bianchi , Ben Hoare

It has recently been conjectured that the type IIA string theory compactified on K3 and the heterotic string theory compactified on a four dimensional torus describe identical string theories. The fundamental heterotic string can be…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We continue to develop the program initiated in arXiv:1705.04679 of studying supersymmetric AdS_3 solutions of F-theory and their holographic dual 2d superconformal field theories, which are dimensional reductions of 4d theories with…

High Energy Physics - Theory · Physics 2018-07-04 Christopher Couzens , Dario Martelli , Sakura Schafer-Nameki

It was recently argued that string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with one unit ($k=1$) of NS-NS flux is exactly dual to the symmetric orbifold CFT ${\rm Sym}^N(\mathbb{T}^4)$. In this paper we show how to…

High Energy Physics - Theory · Physics 2020-04-07 Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar

In this thesis we give explicit results for bosonic string amplitudes on AdS_3 x S^3 and the corresponding plane-wave limit. We also analyze the consequences of our approach for understanding holography in this set up, as well as its…

High Energy Physics - Theory · Physics 2007-05-23 Oswaldo Zapata

A string field theory of (p,q) minimal superstrings is constructed with the free-fermion realization of 2-component KP (2cKP) hierarchy, starting from 2-cut ansatz of two-matrix models. Differential operators of 2cKP hierarchy are…

High Energy Physics - Theory · Physics 2010-10-27 Masafumi Fukuma , Hirotaka Irie

We present a semiclassical derivation of the tree-level and 1-loop dressing phases in the massive sector of string theory on AdS_3 x S^3 x T^4 supplemented by R-R and NS-NS 3-form fluxes. In analogy with the AdS_5 x S^5 case, we use the…

High Energy Physics - Theory · Physics 2015-04-22 A. Stepanchuk

We study the non-linear structure of Type IIB eight-derivative couplings involving the metric and the complexified three-form $G_3$. We show that, at the level of five-point string amplitudes, the kinematics in the maximally…

High Energy Physics - Theory · Physics 2022-09-14 James T. Liu , Ruben Minasian , Raffaele Savelli , Andreas Schachner

We study the type II string theories compactified on manifolds of $G_2$ holonomy of the type $({Calabi-Yau 3-fold} \times S^1)/\bz_2$ where $CY_3$ sectors realized by the Gepner models. We construct modular invariant partition functions for…

High Energy Physics - Theory · Physics 2010-11-19 Tohru Eguchi , Yuji Sugawara

We give a simple derivation of the conformal blocks of the singleton sector of compactifications of IIB string theory on spacetimes of the form X5 x Y5 with Y5 compact, while X5 has as conformal boundary an arbitrary 4-manifold M4. We…

High Energy Physics - Theory · Physics 2007-05-23 Dmitriy Belov , Gregory W. Moore

We explore the quantisation of the tachyonic type 0B superstring and the non-tachyonic $\text{Spin}(16) \times \text{Spin}(16) \rtimes \mathbb{Z}_2$ heterotic string on AdS$_3 \times S^3 \times T^4$ and AdS$_3 \times S^3 \times S^3 \times…

High Energy Physics - Theory · Physics 2025-12-23 Giorgio Leone

We study finite temperature string scale $AdS_3$ backgrounds. One background is $AdS_3 \times S^1 \times T^2$ in which the anti-de Sitter space-time and the circle are at the radius $\sqrt{\alpha'}$. Using path integral techniques, we show…

High Energy Physics - Theory · Physics 2021-05-19 Sujay K. Ashok , Jan Troost

Different compactifications of six-dimensional string theory on $M_4 \times T^2$ are considered. Particular attention is given to the roles of the reduced modes as the $S$ and $T$ fields. It is shown that there is a discrete group of…

High Energy Physics - Theory · Physics 2009-10-28 Nemanja Kaloper

We discuss some topological constraints on Type IIB string theory that cannot be described by elementary characteristic classes. Anomaly cancellation of the worldvolume theory of a D3-brane requires a shifted Dirac quantization condition of…

High Energy Physics - Theory · Physics 2024-03-08 Kazuya Yonekura

We study compactifications of the 6d E-string theory, the theory of a small E_8 instanton, to four dimensions. In particular we identify N=1 field theories in four dimensions corresponding to compactifications on arbitrary Riemann surfaces…

High Energy Physics - Theory · Physics 2018-02-14 Hee-Cheol Kim , Shlomo S. Razamat , Cumrun Vafa , Gabi Zafrir

We discuss two-dimensional sigma models on moduli spaces of instantons on K3 surfaces. These N=(4,4) superconformal field theories describe the near-horizon dynamics of the D1-D5-brane system and are dual to string theory on AdS_3. We…

High Energy Physics - Theory · Physics 2009-10-31 R. Dijkgraaf