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It is shown that the Type IIA superstring compactified on $K3$ has a smooth string soliton with the same zero mode structure as the heterotic string compactified on a four torus, thus providing new evidence for a conjectured exact duality…

High Energy Physics - Theory · Physics 2009-09-17 J. A. Harvey , A. Strominger

For the gauge couplings, which arise after toroidal compactification of six-dimensional heterotic N=1 string theories from the T^2 torus, we calculate their one-loop corrections. This is performed by considering string amplitudes involving…

High Energy Physics - Theory · Physics 2010-11-19 K. Foerger , S. Stieberger

In this set of lectures I review recent developments in string theory emphasizing their non-perturbative aspects and their recently discovered duality symmetries. The goal of the lectures is to make the recent exciting developments in…

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

We study large dimensions and low string scale in four-dimensional compactifications of type II theories of closed strings at weak coupling. We find that the fundamental string scale, together with all compact dimensions, can be at the TeV,…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , B. Pioline

We discuss compactifications of the heterotic string in the presence of background fluxes. Specifically we consider compactifications on T^6, T^5, K3 x T^2 and K3 x S^1 for which we derive the bosonic sector of the low energy effective…

High Energy Physics - Theory · Physics 2010-11-19 Jan Louis , Andrei Micu

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall

The compactness of the closed string in the classical Type II string theory reveals the duality, whereas the compactness of the open string reveals that the end of the string is on the hypersurface which satisfies the Dirichlet boundary…

High Energy Physics - Theory · Physics 2018-02-01 Hanze Li , Maolin Bo

In this paper we present a symmetry of a toroidally compactified type II string theory. This symmetry has the interpretaion that it interchanges the left and the right-moving worldsheet coordinates and reverses the orientations of some of…

High Energy Physics - Theory · Physics 2009-10-30 Alok Kumar

The primary purpose of these lecture notes is to explore the moduli space of type IIA, type IIB, and heterotic string compactified on a K3 surface. The main tool which is invoked is that of string duality. K3 surfaces provide a fascinating…

High Energy Physics - Theory · Physics 2008-02-03 Paul S. Aspinwall

To understand in detail duality between heterotic string and F theory compactifications, it is important to understand the construction of holomorphic G bundles over elliptic Calabi-Yau manifolds, for various groups G. In this paper, we…

High Energy Physics - Theory · Physics 2010-04-07 Robert Friedman , John Morgan , Edward Witten

We show that T-duality can be broken by nonperturbative effects in string coupling. The T-duality in question is that of the 2-torus when the heterotic string is compactified on K3 x T2. This case is compared carefully to a situation where…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall , M. Ronen Plesser

The non-perturbative equivalence of four-dimensional N=2 superstrings with three vector multiplets and four hypermultiplets is analysed. These models are obtained through freely acting orbifold compactifications from the heterotic, the…

High Energy Physics - Theory · Physics 2014-11-18 A. Gregori , C. Kounnas , P. M. Petropoulos

In this article we review four-dimensional string vacua with N=2 space-time supersymmetry. In particular, we will discuss several aspects of the string-string duality between the heterotic string, compactified on $K3\times T^2$, and the…

High Energy Physics - Theory · Physics 2015-06-26 Dieter Lust

We study the noncritical two-dimensional heterotic string. Long fundamental strings play a crucial role in the dynamics. They cancel anomalies and lead to phase transitions when the system is compactified on a Euclidean circle. A careful…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Seiberg

The data of a "2D field theory with a closed string compactification" is an equivariant chain level action of a cell decomposition of the union of all moduli spaces of punctured Riemann surfaces with each component compactified as a…

Geometric Topology · Mathematics 2007-10-24 Dennis Sullivan

We discuss heterotic string theories in two dimensions with gauge groups Spin(24) and Spin(8) x E_8. After compactification the theories exhibit a rich spectrum of states with both winding and momentum. At special points some of these…

High Energy Physics - Theory · Physics 2009-11-11 Joshua L. Davis , Finn Larsen , Nathan Seiberg

We study the hypermultiplet moduli space of the type II string compactified on a Calabi-Yau space $\bX$. We do this by using IIA/IIB duality in a compactification of the same theory on $\bX\times \bS ^1$ and by using recent results on three…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg , Stephen Shenker

We discuss a duality of (0,2) heterotic string vacua which implies that certain pairs of (0,2) Calabi-Yau compactifications on topologically distinct target manifolds yield identical string theories. Some complex structure moduli in one…

High Energy Physics - Theory · Physics 2016-09-06 Jacques Distler , Shamit Kachru

It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory. We note here that while T-duality is order two acting on the…

High Energy Physics - Theory · Physics 2018-07-04 Jeffrey A. Harvey , Gregory W. Moore

We analyze how string theory dualities may be described in M theory. T dualities arise from scalar-vector dualities in the worldvolume of the membrane of M theory. ``Electric-magnetic'' dualities arise from a duality transformation in M…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony