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As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require…

High Energy Physics - Theory · Physics 2024-06-21 Ashoke Sen , Barton Zwiebach

We propose that the ten-dimensional $E_8\times E_8$ heterotic string is related to an eleven-dimensional theory on the orbifold ${\bf R}^{10}\times {\bf S}^1/{\bf Z}_2$ in the same way that the Type IIA string in ten dimensions is related…

High Energy Physics - Theory · Physics 2010-04-07 Petr Horava , Edward Witten

The reduction of the E8 gauge theory to ten dimensions leads to a loop group, which in relation to twisted K-theory has a Dixmier-Douady class identified with the Neveu-Schwarz H-field. We give an interpretation of the degree two part of…

High Energy Physics - Theory · Physics 2014-11-18 Hisham Sati

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

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

When the gauge groups of the two heterotic string theories are broken, over tori, to their "SO(16)x SO(16)" subgroups, the winding modes correspond to representations which are spinorial with respect to those subgroups. Globally, the two…

High Energy Physics - Theory · Physics 2008-11-26 Brett McInnes

We consider the effective theory of heterotic strings in two spacetime dimensions, in a double field theory-inspired formalism, manifestly consistent with $T$-duality in string theory. Restricting the gauge group to a single…

High Energy Physics - Theory · Physics 2026-05-19 Upamanyu Moitra

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

The heterotic string theory, compactified to four dimensions, has been conjectured to have a duality symmetry (S duality) that transforms the dilaton nonlinearly. If valid, this symmetry could provide an important means of obtaining…

High Energy Physics - Theory · Physics 2007-05-23 John Schwarz

We derive a map relating the gauge symmetry groups of heterotic strings on $T^4$ to other components of the moduli space with rank reduction. This generalizes the results for $T^2$ and $T^3$ which mirror the singularity freezing mechanism…

High Energy Physics - Theory · Physics 2022-08-25 Bernardo Fraiman , Héctor Parra de Freitas

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

We examine how to construct explicit heterotic string models dual to F-theory in eight dimensions. In doing so we learn about where the moduli spaces of the two theories overlap, and how non-perturbative features leave traces on a purely…

High Energy Physics - Theory · Physics 2016-09-06 Donal O'Driscoll

A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking in the heterotic string is presented. The construction, based on previous results for the bosonic string, relies on the extension of the tangent frame of DFT. The…

High Energy Physics - Theory · Physics 2017-10-25 Gerardo Aldazabal , Eduardo Andres , Martin Mayo , Victor Penas

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

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma

In heterotic string theories consistency requires the introduction of a non-trivial vector bundle. This bundle breaks the original ten-dimensional gauge groups $\text{E}_8\times\text{E}_8$ or $\text{SO}(32)$ for the supersymmetric heterotic…

High Energy Physics - Theory · Physics 2016-03-31 Stefan Groot Nibbelink , Fabian Ruehle

Orbifold compactification of heterotic E8 x E8 string theory is a source for promising grand unified model building. It can accommodate the successful aspects of grand unification while avoiding problems like doublet-triplet splitting in…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Forste , Hans Peter Nilles , Patrick K. S. Vaudrevange , Akin Wingerter

In the presence of a nonzero B-field, the symmetries of the $\mathrm E_8\times \mathrm E_8$ heterotic string form a 2-group, or a categorified group, as do the symmetries of the CHL string. We express the bordism groups of the corresponding…

Algebraic Topology · Mathematics 2024-11-15 Arun Debray

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

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Seiberg , Edward Witten
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