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Using geometric engineering method of 4D $\mathcal{N}=2$ quiver gauge theories and results on the classification of Kac-Moody (KM) algebras, we show on explicit examples that there exist three sectors of $\mathcal{N}=2$ infrared CFT$_{4}$s.…

High Energy Physics - Theory · Physics 2009-11-10 M. Ait Ben Haddou , A. Belhaj , E. H. Saidi

We provide the first holographic evidence for the existence of a non-supersymmetric conformal manifold arising from exactly marginal but supersymmetry-breaking deformations of a superconformal three-dimensional field theory. In particular,…

High Energy Physics - Theory · Physics 2023-03-10 Alfredo Giambrone , Adolfo Guarino , Emanuel Malek , Henning Samtleben , Colin Sterckx , Mario Trigiante

We discuss type II and type I branes at general ADE type orbifold singularities. We show that there are new phases of type I or heterotic string theory in six dimensions, involving extra tensor multiplets, which arise when small instantons…

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum , Kenneth Intriligator

We classifiy Enriques surfaces covered by the supersingular K3 surface with the Artin invariant 1 in characteristic 2. There are exactly three types of such Enriques surfaces.

Algebraic Geometry · Mathematics 2020-04-03 Shigeyuki Kondo

In this paper we discuss the construction of non-geometric Q- and R-branes as sources of non-geometric Q- and R-fluxes in string compactifications. The non-geometric Q-branes, being obtained via T-duality from the NS 5-brane or respectively…

High Energy Physics - Theory · Physics 2013-06-27 Falk Hassler , Dieter Lust

We consider non-perturbative six dimensional N=1 space-time supersymmetric orientifolds of Type IIB on K3 with non-trivial NS-NS B-flux. All of these models are non-perturbative in both orientifold and heterotic pictures. Thus, some states…

High Energy Physics - Theory · Physics 2009-10-31 Zurab Kakushadze

We explicitly give the correspondence between spectra of heterotic string theory compactified on $T^2$ and string junctions in type IIB theory compactified on $S^2$.

High Energy Physics - Theory · Physics 2008-11-26 Yosuke Imamura

This paper, in a sense, completes a series of three papers. In the previous two hep-th/0404013, hep-th/0410293, we have explored the possibility of refining the K-theory partition function in type II string theories using elliptic…

High Energy Physics - Theory · Physics 2009-11-11 Igor Kriz , Hisham Sati

A construction of Calabi-Yaus as quotients of products of lower-dimensional spaces in the context of weighted hypersurfaces is discussed, including desingularisation. The construction leads to Calabi-Yaus which have a fiber structure, in…

Algebraic Geometry · Mathematics 2023-09-12 Bruce Hunt , Rolf Schimmrigk

This work is the second of a series of papers devoted to revisiting the properties of Heterotic string compactifications on ALE spaces. In this project we study the geometric counterpart in F-theory of the T-dualities between Heterotic ALE…

High Energy Physics - Theory · Physics 2023-10-19 Michele Del Zotto , Muyang Liu , Paul-Konstantin Oehlmann

We review the geometry of K3 surfaces and then describe this geometry from the point of view of an approximate metric of Gibbons-Hawking form. This metric arises from the M-theory lift of the tree-level supergravity description of type IIA…

High Energy Physics - Theory · Physics 2016-08-11 Michael B. Schulz , Elliott F. Tammaro

We calculate partition functions for supersymmetric heterotic theories on Melvin background with Wilson line. These functions coincide with partition functions for some of non-supersymmetric heterotic theories in appropriate limits. This…

High Energy Physics - Theory · Physics 2010-02-03 Takao Suyama

We demonstrate that type II string theory compactified on a singular Calabi-Yau manifold is related to $c=1$ string theory compactified at the self-dual radius. We establish this result in two ways. First we show that complex structure…

High Energy Physics - Theory · Physics 2009-10-28 Dileep P. Jatkar , Bas Peeters

We construct non-supersymmetric four dimensional gauge theories arising as effective theories of D-branes placed on various singularities in Type 0B string theory. We mostly focus on models which are conformal in the large N limit and…

High Energy Physics - Theory · Physics 2009-10-07 Ralph Blumenhagen , Anamaria Font , Dieter Lust

We compute certain one-loop corrections to F^4 couplings of the heterotic string compactified on T^2, and show that they can be characterized by holomorphic prepotentials. We then discuss how some of these couplings can be obtained in…

High Energy Physics - Theory · Physics 2008-11-26 W. Lerche , S. Stieberger

We explore the moduli space of heterotic strings in two dimensions. In doing so, we introduce new lines of compactified theories with Spin(24) gauge symmetry and discuss compactifications with Wilson lines. The phase structure of d=2…

High Energy Physics - Theory · Physics 2008-11-26 Joshua L. Davis

Following the analysis of tachyons and orbifold flips described in hep-th/0412337, we study nonsupersymmetric analogs of the supersymmetric conifold singularity and show using their toric geometry description that they are nonsupersymmetric…

High Energy Physics - Theory · Physics 2009-11-11 K. Narayan

In this note we compare the moduli spaces of the heterotic string compactified on a two-torus and F-Theory compactified on an elliptic K3 surface for the case of an unbroken E8 x E8 gauge group. The explicit map relating the deformation…

High Energy Physics - Theory · Physics 2009-10-07 Gabriel Lopes Cardoso , Gottfried Curio , Dieter Lust , Thomas Mohaupt

We study heterotic $E_8\times E_8$ models that are dual to compactifications of F-theory and type IIA string on certain classes of elliptically fibered Calabi-Yau manifolds. Different choices for the specific torus in the fibration have…

High Energy Physics - Theory · Physics 2009-10-09 G. Aldazabal , A. Font , L. E. Ibanez , A. M. Uranga

We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without branes. We derive the refined topological vertex of hep-th/0701156 and hep-th/0502061 from a link invariant of…

High Energy Physics - Theory · Physics 2012-10-11 Mina Aganagic , Shamil Shakirov