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We consider type IIA string theory on a Calabi-Yau 2-fold with D6-branes wrapping 2-cycles in the 2-fold. We find a complete set of conditions on the supergravity solution for any given wrapped brane configuration in terms of SU(2)…

High Energy Physics - Theory · Physics 2008-11-26 Ansar Fayyazuddin

We perform model searches on smooth Calabi-Yau compactifications for both the supersymmetric E8xE8 and SO(32) as well as for the non-supersymmetric SO(16)xSO(16) heterotic strings simultaneously. We consider line bundle backgrounds on both…

High Energy Physics - Theory · Physics 2016-01-20 Stefan Groot Nibbelink , Orestis Loukas , Fabian Ruehle

We generalize Calabi-Yau 3-folds from the special Lagrangian perspective. More precisely, we study SU(3)-structures which admit as "nice" a local special Lagrangian geometry as the flat $\mathbf{C}^3$ or a Calabi-Yau structure does. The…

Differential Geometry · Mathematics 2007-05-23 Feng Xu

Two-dimensional hybrid superstring on singular Calabi-Yau manifolds is studied by the field redefinition of the NSR formalism. The compactification on singular Calabi-Yau fourfold is described by N=2 super-Liouville theory and N=2…

High Energy Physics - Theory · Physics 2010-11-19 Katsushi Ito , Hiroshi Kunitomo

We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N=4 supersymmetry. To this end, we derive the low-energy effective action for…

High Energy Physics - Theory · Physics 2015-06-12 Amir-Kian Kashani-Poor , Ruben Minasian , Hagen Triendl

We consider four-dimensional supersymmetric compactifications of the E8 x E8 heterotic string on Calabi-Yau manifolds endowed with vector bundles with structure group SU(N) x U(1) and five-branes. After evaluating the Green-Schwarz…

High Energy Physics - Theory · Physics 2008-11-26 Ralph Blumenhagen , Sebastian Moster , Timo Weigand

Global geometry of $K3$-fibration Calabi-Yau threefolds, with Hodge number $h_{2,1}=r+1$, is used to define $N=4$ softly broken $SU(r+1)$ gauge theories, with the bare coupling constant given by the dual heterotic dilaton, and the mass of…

High Energy Physics - Theory · Physics 2009-10-30 C. Gomez , R. Hernandez , E. Lopez

We construct a geometric model of eight-dimensional manifolds and realize them in the context of type II string theory. These eight-manifolds are constructed by non-trivial $T^{4}$ fibrations over Calabi-Yau two-folds. These give rise to…

High Energy Physics - Theory · Physics 2016-06-29 Hai Lin

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

The aim of this paper is to construct families of Calabi--Yau 3-folds without boundary points with maximal unipotent monodromy and to describe the variation of their Hodge structures. In particular five families are constructed. In all…

Algebraic Geometry · Mathematics 2015-03-17 Alice Garbagnati

We study the moduli space of SU(3) structure manifolds X that form the internal compact spaces in four-dimensional N=1/2 domain wall solutions of heterotic supergravity with flux. Together with the direction perpendicular to the…

High Energy Physics - Theory · Physics 2014-11-13 Xenia de la Ossa , Magdalena Larfors , Eirik E. Svanes

Type II string theory compactified on a Calabi-Yau manifold, with a singularity modeled by a hypersurface in an orbifold, is considered. In the limit of vanishing string coupling, one expects a non gravitational theory concentrated at the…

High Energy Physics - Theory · Physics 2010-02-03 Oskar Pelc

This is a short version of hep-th/0406137. We show that the supersymmetry transformations for type II string theories on six-manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kahler form e^{iJ}…

High Energy Physics - Theory · Physics 2015-06-26 Mariana Graña , Ruben Minasian , Michela Petrini , Alessandro Tomasiello

We revisit the backgrounds of type IIB on manifolds with $SU(4)$-structure and discuss two sets of solutions arising from internal geometries that are complex and symplectic respectively. Both can be realized in terms of generalized complex…

High Energy Physics - Theory · Physics 2016-05-25 Ruben Minasian , Daniël Prins

We show that the supersymmetry transformations for type II string theories on six-manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kahler form exp(iJ) and the holomorphic form Omega. The…

High Energy Physics - Theory · Physics 2008-11-26 Mariana Grana , Ruben Minasian , Michela Petrini , Alessandro Tomasiello

We show that supersymmetric M-theory compactifications to three-dimensional Minkowski space-time preserving $\mathcal{N}=2$ supersymmetry allow for a class of internal manifolds more general than the Calabi-Yau one, namely the class of…

High Energy Physics - Theory · Physics 2016-03-09 C. S. Shahbazi

The string coupling of N=2 supersymmetric compactifications of type II string theory on a Calabi-Yau manifold belongs to the so-called universal dilaton hypermultiplet, that has four real scalars living on a quaternion-Kaehler manifold.…

High Energy Physics - Theory · Physics 2015-05-18 Nicola Ambrosetti , Ignatios Antoniadis , Jean-Pierre Derendinger , Panteleimon Tziveloglou

We show how the natural Abelian duality of 2 and 3-form gravity theories on seven dimensional manifold CY3xS1, leads to an S-duality between 2 and 3-form theories on simply connected CY3. The massless sector of the 2-form field theory on…

High Energy Physics - Theory · Physics 2010-04-30 Farhang Loran , Hesam Soltanpanahi

We show how to construct supersymmetric three-generation models with gauge group and matter content of the Standard Model in the framework of non-simply-connected elliptically fibered Calabi-Yau manifolds Z. The elliptic fibration on a…

High Energy Physics - Theory · Physics 2009-11-10 Gottfried Curio

We consider the general case of N=2 dual pairs of type IIA/heterotic string theories in four dimensions. We show that if the type IIA string in this pair can be viewed as having been compactified on a Calabi-Yau manifold in the usual way…

High Energy Physics - Theory · Physics 2019-08-15 Paul S. Aspinwall , Jan Louis