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It is well-known that the SO(32) and $E_8\times E_8$ heterotic strings can be continuously connected to each other in nine dimensions. Since the strong-coupling duals of these theories are respectively the SO(32) Type I theory and M-theory…

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum , Keith R. Dienes

Target space duality (T duality), which interchanges Kaluza--Klein and winding-mode excitations of the compactified heterotic string, is realized as a symmetry of a world-sheet action. Axion-dilaton duality (S duality), a conjectured…

High Energy Physics - Theory · Physics 2009-09-15 John H. Schwarz , Ashoke Sen

A study is made of the implications of heterotic string $T$-duality and extended gauge symmetry for the conjectured equivalence of heterotic and Type I superstrings. While at first sight heterotic string world-sheet dynamics appears to…

High Energy Physics - Theory · Physics 2010-04-07 Joseph Polchinski , Edward Witten

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 construct heterotic string theories on spacetimes of the form R^{d-1,1} times N=2 linear dilaton, where d=6,4,2,0. There are two lines of supersymmetric theories descending from the two supersymmetric ten-dimensional heterotic theories.…

High Energy Physics - Theory · Physics 2009-11-11 Sameer Murthy

Both the supersymmetric $SO(32)$ and $E_8\times E_8$ heterotic strings in ten dimensions have known strong-coupling duals. However, it has not been known whether there also exist strong-coupling duals for the non-supersymmetric heterotic…

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum , Keith R. Dienes

We re-examine the question of heterotic - heterotic string duality in six dimensions and argue that the $E_8\times E_8$ heterotic string, compactified on $K3$ with equal instanton numbers in the two $E_8$'s, has a self-duality that inverts…

High Energy Physics - Theory · Physics 2010-04-07 M. J. Duff , R. Minasian , Edward Witten

N=(2,1) heterotic string theory provides clues about hidden structure in M-theory related to string duality; in effect it geometrizes some aspects of duality. The program whereby one may deduce this hidden structure is outlined, together…

High Energy Physics - Theory · Physics 2007-05-23 Emil Martinec

Under the assumption of axial symmetry we introduce a map from dilatonic gravity to a string-like action. This map allows one to introduce, in a rather simple way, the equivalent of string theory T-duality in dilatonic gravity. Here we…

High Energy Physics - Theory · Physics 2014-11-18 Pablo M. Llatas

In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes $h_1\in H^3(E_1)$ and $h_2\in H^3(E_2)$, has been introduced. One of the main virtues of…

Geometric Topology · Mathematics 2010-11-26 Ulrich Bunke , Thomas Schick

This paper investigates relationships between low-energy four-particle scattering amplitudes with external gauge particles and gravitons in the E_8 X E_8 and SO(32) heterotic string theories and the type I and type IA superstring theories…

High Energy Physics - Theory · Physics 2017-02-01 Michael B. Green , Arnab Rudra

The effective action for type II string theory compactified on a six torus is $N=8$ supergravity, which is known to have an $E_{7}$ duality symmetry. We show that this is broken by quantum effects to a discrete subgroup, $E_7(\Z)$, which…

High Energy Physics - Theory · Physics 2009-07-09 C. M. Hull , P. K. Townsend

'Dual' is a promising key word in the particle physics at present. The string theory is dual in any sense. The observed sector and the hidden sector are dual on the 10-dim. $E_8\times E_8$ heterotic string. We find $Z_6$ orbifold models…

High Energy Physics - Phenomenology · Physics 2009-10-28 Noriyasu Ohtsubo , Masafumi Shimojo

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

We study a family of unstable heterotic string theories in more than ten dimensions which are connected via tachyon condensation to the ten-dimensional supersymmetric vacuum of heterotic string theory with gauge group SO(32). Calculating…

High Energy Physics - Theory · Physics 2007-05-23 Simeon Hellerman

String theory appears to admit a group of discrete field transformations -- called $S$ dualities -- as exact non-perturbative quantum symmetries. Mathematically, they are rather analogous to the better-known $T$ duality symmetries, which…

High Energy Physics - Theory · Physics 2011-04-15 John H. Schwarz

Exceptional groups of type $E_6$ contain dual pairs where one member is $\mathrm{Spin}(8)$, and the other is $T\rtimes \mathbb Z/2\mathbb Z$, where $T$ is a two-dimensional torus and the non-trivial element in $\mathbb Z/2\mathbb Z$ acts on…

Representation Theory · Mathematics 2023-02-07 Wee Teck Gan , Hung Yean Loke , Annegret Paul , Gordan Savin

It is shown that the heterotic string emerges as a soliton in the type I superstring theory in ten dimensions. The collective coordinates of the soliton are described by a smooth, chiral worldsheet theory. There are eight bosonic and eight…

High Energy Physics - Theory · Physics 2009-10-28 Atish Dabholkar

T-dualities of the non-supersymmetric string models, which are constructed by twisted compactifications, are investigated. We show that the T-duality groups of such models are obtained by imposing congruence conditions on $O\left(…

High Energy Physics - Theory · Physics 2022-02-09 H. Itoyama , Yuichi Koga , Sota Nakajima

N=2 heterotic strings may provide a window into the physics of M-theory radically different than that found via the other supersymmetric string theories. In addition to their supersymmetric structure, these strings carry a four-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Emil Martinec