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This is a very brief survey of some results in the geometry of string duality delivered at a lecture given at ICM 1998, Berlin. String Duality is the statement that one kind of string theory compactified on one space is equivalent in some…

Algebraic Geometry · Mathematics 2007-05-23 Paul S. Aspinwall

We argue that all conjectured dualities involving various string, M- and F- theory compactifications can be `derived' from the conjectured duality between type I and SO(32) heterotic string theory, T-dualities, and the definition of M- and…

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

Heterotic string theory compactified on a K3 surface times T^2 is believed to be equivalent to type II string theory on a suitable Calabi-Yau threefold. In particular, it must share the same hypermultiplet moduli space. Building on the…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Boris Pioline

In this paper we describe the heterotic dual of the type IIB theory compactified to four dimensions on a toroidal orientifold in the presence of fluxes. The type IIB background is most easily described in terms of an M-theory…

High Energy Physics - Theory · Physics 2009-11-07 Katrin Becker , Keshav Dasgupta

Two classes of stringy instanton effects, stronger than standard field theory instantons, are identified in the heterotic string theory. These contributions are established using type IIA/heterotic and type I/heterotic dualities. They…

High Energy Physics - Theory · Physics 2009-10-30 Eva Silverstein

We demonstrate that type II string theory compactified on a singular Calabi-Yau manifold is related to $c=1$ string theory compactified at the self-dual radius. We establish this result in two ways. First we show that complex structure…

High Energy Physics - Theory · Physics 2009-10-28 Dileep P. Jatkar , Bas Peeters

Since T-duality has been proved only perturbatively and most of the heterotic states map into solitonic, non-perturbative, type II states, the 6-dimensional string-string duality between the heterotic string and the type II string is not…

High Energy Physics - Theory · Physics 2015-06-26 L. Girardello , M. Porrati , A. Zaffaroni

We show that a class of torsional compactifications of the heterotic string are dual to conventional Kahler heterotic string compactifications. This observation follows from the recently proposed analogue of the c-map for the heterotic…

High Energy Physics - Theory · Physics 2011-07-01 Savdeep Sethi

We suggest that the (2,0) six dimensional field theory compactified on $S^1\times K3$ is the Matrix model description of both M-theory on $K3$ and the Heterotic string on $T^3$. This proposal is different from existing proposals for the…

High Energy Physics - Theory · Physics 2009-10-30 Micha Berkooz , Moshe Rozali

The aim of these notes is to give recent developments in string theory. In particular, we discuss the string spectrums, compactifications, brane physics and dualities.

High Energy Physics - Theory · Physics 2008-08-22 Adil Belhaj

It has been recently shown that F-theory on K3 with background B fields (NSNS and RR 2-forms) is dual to the CHL string in 8 dimensions. In this paper, we reexamine this duality in terms of string junctions in type IIB string theory. It is…

High Energy Physics - Theory · Physics 2009-10-31 Jiro Hashiba , Kazuo Hosomichi , Seiji Terashima

We describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle. The method works for both untwisted and twisted circle…

High Energy Physics - Theory · Physics 2024-01-03 Lakshya Bhardwaj

We review some examples of heterotic/type II string duality which shed light on the infrared dynamics of string compactifications with N=2 and N=1 supersymmetry in four dimensions.

High Energy Physics - Theory · Physics 2007-05-23 Shamit Kachru

In this article we examine the compatibility of some recent results, results relating M-Theory to String Theory, with the string-string duality conjecture in six-dimensions. In particular, we rederive the relation between M-Theory and Type…

High Energy Physics - Theory · Physics 2007-05-23 K. Davis

We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative…

High Energy Physics - Theory · Physics 2009-07-09 Shamit Kachru , Cumrun Vafa

We study the three string junctions and string networks in Type IIB string theory by explicity constructing the holomorphic embeddings of the M-theory membrane that describe such configurations. The main feature of them such as…

High Energy Physics - Theory · Physics 2008-11-26 Morten Krogh , Sangmin Lee

Recently a great deal of evidence has been found indicating that type IIA string theory compactified on K3 is equivalent to heterotic string theory compactified on T^4. Under the transformation which relates the two theories, the roles of…

High Energy Physics - Theory · Physics 2014-11-18 Clifford V. Johnson , Nemanja Kaloper , Ramzi R. Khuri , Robert C. Myers

In this paper we study a possible non-perturbative dual of the heterotic string compactified on K3 x T^2 in the presence of background fluxes. We show that type IIA string theory compactified on manifolds with SU(3) structure can account…

High Energy Physics - Theory · Physics 2010-10-27 Jan Louis , Andrei Micu

The heterotic string occurs as a soliton of the type I superstring in ten dimensions, supporting the conjecture that these two theories are equivalent. The conjecture that the type IIB string is self-dual, with the strong coupling dynamics…

High Energy Physics - Theory · Physics 2016-09-06 C. M. Hull

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
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