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Many important ideas about string duality that appear in conventional $\T^2$ compactification have analogs for $\T^2$ compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

This paper establishes an equivalence between two distinct frameworks for constructing and relating smooth manifolds: the geometric theory of \emph{$\star$-diagrams} and the string-theory-inspired notion of \emph{spherical T-duality}. We…

Differential Geometry · Mathematics 2025-10-07 Leonardo F. Cavenaghi , Lino Grama , Ludmil Katzarkov

We study the action of S-duality on half-BPS Wilson loop operators in 5d $\mathcal{N}=1$ theories. The duality is the statement that different massive deformations of a single 5d SCFT are described by different gauge theories, or…

High Energy Physics - Theory · Physics 2018-11-14 Benjamin Assel , Antonio Sciarappa

In this work, we study modular symmetries in type IIB flux landscape by investigating symplectic basis transformations of period vectors on toroidal orbifolds. To fix explicit cycles of a third-cohomology basis regarding the untwisted…

High Energy Physics - Theory · Physics 2025-10-01 Keiya Ishiguro , Takafumi Kai , Tatsuo Kobayashi , Yuichi Koga , Hajime Otsuka

We study large N dualities for a class of ${\cal N} = 1$ theories realized on type IIB D5 branes wrapping 2-cycles of local Calabi-Yau threefolds which is obtained from resolving orbifolded conifolds or as effective field theories on D4…

High Energy Physics - Theory · Physics 2016-08-22 Seungjoon Hyun , Kyungho Oh

We revisit the question of gauge coupling unification at the string scale in orbifold compactifications of the heterotic string for the supersymmetric Standard Model. In the presence of discrete Wilson lines threshold corrections with…

High Energy Physics - Theory · Physics 2015-02-23 David Bailin , Alex Love

Given a two-dimensional bosonic theory with a non-anomalous $\mathbb{Z}_2$ symmetry, the orbifolding and fermionization can be understood holographically using three-dimensional BF theory with level $2$. From a Hamiltonian perspective, the…

High Energy Physics - Theory · Physics 2023-11-27 Zhihao Duan , Qiang Jia , Sungjay Lee

Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In…

High Energy Physics - Theory · Physics 2021-05-18 Thomas B. Rochais

We review and study the duality between string theory formulated on a curved exact background (the two dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results in this subject by…

High Energy Physics - Theory · Physics 2008-11-26 Gaston Giribet , Matias Leoni

Wilson line on a non-simply connected manifold is a nice way to break SU(5) unified symmetry, and to solve the doublet--triplet splitting problem. This mechanism also requires, however, that the two Higgs doublets are strictly vector-like…

High Energy Physics - Theory · Physics 2009-10-31 Radu Tatar , Taizan Watari

In discussions of the T-duality between the two heterotic string theories, the duality is actually implemented through the "common" SO(16) x SO(16) subgroup of "SO(32)" and E_8 x E_8. In fact, however, a global investigation shows that no…

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

We present evidence for the target space duality symmetry associated with massive excited states of closed bosonic string. The evolution of string is considered in ${\hat D}$ spacetime dimensions; out of which d spacial dimensions are…

High Energy Physics - Theory · Physics 2010-12-13 Jnanadeva Maharana

We provide evidence that a particular hidden supersymmetry, when combined with half-maximal deformed global supersymmetry, implies that the theory is invariant under duality rotations of the vector and spinor fields. Based on a complete 8+8…

High Energy Physics - Theory · Physics 2013-03-25 John Joseph M. Carrasco , Renata Kallosh

In this paper we investigate compactifications of the type II and heterotic string on four-dimensional spaces with nongeometric monodromies. We explicitly construct backgrounds which contain the "Duality Twists" discussed by Dabholkar and…

High Energy Physics - Theory · Physics 2014-11-18 Alex Flournoy , Brian Wecht , Brook Williams

We consider special geometry of the vector multiplet moduli space in compactifications of the heterotic string on $K3 \times T^2$ or the type IIA string on $K3$-fibered Calabi-Yau threefolds. In particular, we construct a modified dilaton…

High Energy Physics - Theory · Physics 2010-11-19 Per Berglund , Mans Henningson , Niclas Wyllard

We consider several orbifold compactifications of M-theory and their corresponding type II duals in two space-time dimensions. In particular, we show that while the orbifold compactification of M-theory on $T^9/J_9$ is dual to the orbifold…

High Energy Physics - Theory · Physics 2010-11-19 Shibaji Roy

Given a two-dimensional conformal field theory with a global symmetry, we propose a method to implement an orbifold construction by taking orbits of the modular group. For the case of cyclic symmetries we find that this approach always…

High Energy Physics - Theory · Physics 2020-05-27 Daniel Robbins , Thomas Vandermeulen

We study orbifolds by permutations of two identical N=2 minimal models within the Gepner construction of four dimensional heterotic strings. This is done using the new N=2 supersymmetric permutation orbifold building blocks we have recently…

High Energy Physics - Theory · Physics 2011-08-03 M. Maio , A. N. Schellekens

We summarize the results obtained in the last few years about permutation orbifolds in two-dimensional conformal field theories, their application to string theory and their use in the construction of four-dimensional heterotic string…

High Energy Physics - Theory · Physics 2011-11-07 M. Maio

By utilizing the gauge symmetries of Two-Time Physics (2T-physics), a superstring with linearly realized global SU(2,2|4) supersymmetry in 4+2 dimensions (plus internal degrees of freedom) is constructed. It is shown that the dynamics of…

High Energy Physics - Theory · Physics 2009-11-10 Itzhak Bars
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