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The data required for heterotic string theory with gauge group G, which for anomaly cancellation reasons must either be E8 x E8 or Spin(32)/Z2, consist of the following: a ten-dimensional space-time X and a principal G-bundle P. The fields…

Differential Geometry · Mathematics 2007-05-23 Adrian Clingher

We discuss duality between Type IIA string theory, eleven-dimensional supergravity, and heterotic string theory in four spacetime dimensions with $N=1$ supersymmetry. We find theories whose infrared limit is trivial at enhanced symmetry…

High Energy Physics - Theory · Physics 2009-07-09 J. A. Harvey , D. A. Lowe , A. Strominger

One of the dualities in string theory, the F-theory/heterotic string duality in eight dimensions, predicts an interesting correspondence between two seemingly disparate geometrical objects. On one side of the duality there are elliptically…

Algebraic Geometry · Mathematics 2009-11-10 Adrian Clingher , John W. Morgan

This talk is divided into two parts. The first part reviews some of the duality relationships between superstring theories. These relationships are interpreted as providing evidence for the existence of a unique underlying fundamental…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

A non-supersymmetric ten-dimensional open string theory is constructed as an orbifold of type I string theory, and as an orientifold of the bosonic type B theory. It is purely bosonic, and cancellation of massless tadpoles requires the…

High Energy Physics - Theory · Physics 2014-11-18 Oren Bergman , Matthias R. Gaberdiel

The (abelian bosonic) heterotic string effective action, equations of motion and Bianchi identity at order alpha prime in ten dimensions, are shown to be equivalent to a higher dimensional action, its derived equations of motion and Bianchi…

High Energy Physics - Theory · Physics 2015-05-27 David Andriot

As shown by Ho\v{r}ava and Witten, there are gravitational anomalies at the boundaries of $M^{10}\times S^1/Z_2$ of 11 dimensional supergravity. They showed that only 10 dimensional vector multiplets belonging to $E_8$ gauge group can be…

High Energy Physics - Theory · Physics 2009-10-30 F. Aldabe

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 discuss the duality symmetries of Type II string effective actions in nine, ten and eleven dimensions. As a by-product we give a covariant action underlying the ten--dimensional Type IIB supergravity theory. We apply duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff

We apply the string-triality\cite{duffetal} to argue the existence of the string-networks of solitonic T and U-strings in the heterotic theory on T^6, S and T-strings in IIB on K3 x T^2 and, S and U-strings in IIA on K3 x T^2. We then show…

High Energy Physics - Theory · Physics 2010-02-03 Alok Kumar , Aalok Misra

In six spacetime dimensions, the heterotic string is dual to a Type $IIA$ string. On further toroidal compactification to four spacetime dimensions, the heterotic string acquires an $SL(2,\BbbZ)_S$ strong/weak coupling duality and an…

High Energy Physics - Theory · Physics 2009-10-28 M. J. Duff , James T. Liu , J. Rahmfeld

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

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d…

High Energy Physics - Theory · Physics 2010-11-19 John H. Schwarz

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 provide some additional evidence in favour of the strong - weak coupling duality between the SO(32) heterotic and type I superstring theories by comparing terms quartic in the gauge field strength in their low-energy effective actions.…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

The BPS spectrum of type I' string theory in a generic background is derived using the duality with the nine-dimensional heterotic string theory with Wilson lines. It is shown that the corresponding mass formula has a natural interpretation…

High Energy Physics - Theory · Physics 2009-10-30 O. Bergman , M. R. Gaberdiel , G. Lifschytz

Horava--Witten M theory -- heterotic string duality poses special problems for the twisted sectors of heterotic orbifolds. In [1] we explained how in M theory the twisted states couple to gauge fields apparently living on M9 branes at both…

High Energy Physics - Theory · Physics 2014-11-18 E. Gorbatov , V. S. Kaplunovsky , J. Sonnenschein , S. Theisen , S. Yankielowicz

We analyze in detail the anomaly cancellation conditions for the strongly coupled $E_8 \times E_8$ heterotic string introduced by Horava and Witten and find new features compared to the ten-dimensional Green-Schwarz mechanism. We project…

High Energy Physics - Theory · Physics 2009-10-30 E. Dudas , J. Mourad

We review the construction of open descendants of the type IIB superstring on the Z-orbifold. It results in a chiral four-dimensional model with gauge group $SO(8) \otimes U(12)$ and three generations of matter in the $(8,12^*)\oplus…

High Energy Physics - Theory · Physics 2010-11-19 Carlo Angelantonj

We extend strong/weak coupling duality to string theories without spacetime supersymmetry, and focus on the case of the unique ten-dimensional, nonsupersymmetric, tachyon-free $SO(16)\times SO(16)$ heterotic string. We construct a…

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