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A number theoretic approach to string compactification is developed for Calabi-Yau hypersurfaces in arbitrary dimensions. The motivic strategy involved is illustrated by showing that the Hecke eigenforms derived from Galois group orbits of…

High Energy Physics - Theory · Physics 2008-11-26 Rolf Schimmrigk

We propose and give strong evidence for a duality relating Type II theories on Calabi-Yau spaces and heterotic strings on $K3 \times T^2$, both of which have $N=2$ spacetime supersymmetry. Entries in the dictionary relating the dual…

High Energy Physics - Theory · Physics 2009-07-09 S. Ferrara , J. A. Harvey , A. Strominger , C. Vafa

I argue that the ten dimensional non--supersymmetric tachyonic superstrings may serve as good starting points for the construction of viable phenomenological vacua. Thus, enlarging the space of possible solutions that may address some of…

High Energy Physics - Theory · Physics 2019-12-17 Alon E. Faraggi

This paper develops families of complex Enriques surfaces whose Brauer groups pull back identically to zero on the covering K3 surfaces. Our methods rely on isogenies with Kummer surfaces of product type. We offer both lattice theoretic and…

Algebraic Geometry · Mathematics 2011-02-11 Alice Garbagnati , Matthias Schuett

Starting from certain 3D non-abelian dual systems, we discuss a number of related dual systems in 2D, some of which are obtained by dimensional reduction. The dualities relate massive scalar and vector fields, and may be relevant for string…

High Energy Physics - Theory · Physics 2008-11-26 H. Gustafsson , S. E. Hjelmeland , U. Lindstrom

We propose a method for constructing pairs of nonsupersymmetric gauge theories related by S-duality. Starting from a known S-duality of supersymmetric theories realized on the worldvolume of D3 branes in type IIB string theory, a new…

High Energy Physics - Theory · Physics 2014-01-22 Anson Hook , Gonzalo Torroba

Some relationships between string theories and eleven-dimensional supergravity are discussed and reviewed. We see how some relationships can be derived from others. The cases of N=2 supersymmetry in nine dimensions and N=4 supersymmetry in…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

We show that most classes of K3 surfaces have only finitely many Enriques quotients. For supersingular K3 surfaces over fields of characteristic $p \geq 3$, we give a formula which generically yields the number of their Enriques quotients.…

Algebraic Geometry · Mathematics 2020-09-15 Kai Behrens

We construct orientifolds of type IIA string theory. The theory is compactified on a T^6/Z_N times Z_M orbifold. In addition worldsheet parity in combination with a reflection of three compact directions is modded out. Tadpole cancellation…

High Energy Physics - Theory · Physics 2010-11-19 Stefan Forste , Gabriele Honecker , Ralph Schreyer

We discuss the different discrete duality symmetries in six dimensions that act within and between (i) the 10-dimensional heterotic string compactified on $T^4$, (ii) the 10-dimensional Type IIA string compactified on $K3$ and (iii) the…

High Energy Physics - Theory · Physics 2009-10-28 K. Behrndt , E. Bergshoeff , Bert Janssen

Let S be a complex Enriques surface; it is the quotient of a K3 surface X by a fixed-point-free involution. The Brauer group Br(S) has a unique nonzero element. We describe its pull-back in Br(X), and show that the surfaces S for which it…

Algebraic Geometry · Mathematics 2009-03-16 Arnaud Beauville

We consider non-Abelian T-duality on N=1 supergravity backgrounds possessing well understood field theory duals. For the case of D3-branes at the tip of the conifold, we dualise along an SU(2) isometry. The result is a type-IIA geometry…

High Energy Physics - Theory · Physics 2015-06-12 Georgios Itsios , Carlos Nunez , Konstadinos Sfetsos , Daniel C. Thompson

We show how the brane wrapping rules, recently discovered in closed oriented string theories compactified on tori, are extended to the case of the Type IIA string compactified on K3. To this aim, a crucial role is played by the duality…

High Energy Physics - Theory · Physics 2015-06-17 E. A. Bergshoeff , C. Condeescu , G. Pradisi , F. Riccioni

It has recently been proposed that certain nonsupersymmetric type II orbifolds have vanishing perturbative contributions to the cosmological constant. We show that techniques of Sen and Vafa allow one to construct dual type II descriptions…

High Energy Physics - Theory · Physics 2009-10-31 Shamit Kachru , Eva Silverstein

In this paper we study the N=1 supersymmetric field theories realized on the world-volume of type IIB D3-branes sitting at orientifolds of non-orbifold singularities (conifold and generalizations). Several chiral models belong to this…

High Energy Physics - Theory · Physics 2009-10-09 J. Park , R. Rabadan , A. M. Uranga

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 first present a short review of general supersymmetric compactifications in string and M-theory using the language of G-structures and intrinsic torsion. We then summarize recent work on the generic conditions for supersymmetric AdS_5…

High Energy Physics - Theory · Physics 2007-05-23 Jerome P. Gauntlett , Dario Martelli , James Sparks , Daniel Waldram

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

We begin a search for nonsupersymmetric/supersymmetric dual string pairs by constructing candidate critical nonsupersymmetric strings as solitons in supersymmetric string theories. Using orbifold techniques, one can construct cosmic string…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru , Eva Silverstein

We determine generalized symmetries for 4D theories engineered via type II strings on non-supersymmetric orbifold backgrounds $\mathbb{R}^{3,1} \times \mathbb{R}^6 / \Gamma$. Probe branes detect generalized symmetries via the adjacency…

High Energy Physics - Theory · Physics 2025-02-17 Noah Braeger , Vivek Chakrabhavi , Jonathan J. Heckman , Max Hübner
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