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We clarify the relation between six-dimensional Abelian orbifold compactifications of the heterotic string and smooth heterotic K3 compactifications with line bundles for both SO(32) and E_8 x E_8 gauge groups. The T^4/Z_N cases for N=2,3,4…

High Energy Physics - Theory · Physics 2010-10-27 Gabriele Honecker , Michele Trapletti

We describe blowups of C^n/Z_n orbifolds as complex line bundles over CP^{n-1}. We construct some gauge bundles on these resolutions. Apart from the standard embedding, we describe U(1) bundles and an SU(n-1) bundle. Both blowups and their…

High Energy Physics - Theory · Physics 2010-10-27 S. Groot Nibbelink , M. Trapletti , M. G. A. Walter

Heterotic orbifolds provide promising constructions of MSSM-like models in string theory. We investigate the connection of such orbifold models with smooth Calabi-Yau compactifications by examining resolutions of the T^6/Z6-II orbifold…

High Energy Physics - Theory · Physics 2011-02-15 Stefan Groot Nibbelink , Johannes Held , Fabian Ruehle , Michele Trapletti , Patrick K. S. Vaudrevange

We compare heterotic string models on orbifolds with supergravity models on smooth compact spaces, obtained by resolving the orbifold singularities. Our main focus is on heterotic E8xE8 models on the resolution of the compact T^6/Z_3…

High Energy Physics - Theory · Physics 2009-11-19 Stefan Groot Nibbelink , Denis Klevers , Felix Ploger , Michele Trapletti , Patrick K. S. Vaudrevange

We investigate certain fixed points in the boundary conformal field theory representation of type IIA D-branes on Gepner points of K3. They correspond geometrically to degenerate brane configurations, and physically lead to enhanced gauge…

High Energy Physics - Theory · Physics 2016-09-06 J. Fuchs , P. Kaste , W. Lerche , C. Lutken , C. Schweigert , J. Walcher

The anti-self-dual projection of the spin connections of certain four-dimensional Einstein manifolds can be Abelian in nature. These configurations signify bundle reductions. By a theorem of Kobayashi and Nomizu such a process is predicated…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Chopin Soo

We consider 1+3-dimensional domain wall solutions of heterotic supergravity on a six-dimensional warped nearly K\"ahler manifold $X_6$ in the presence of gravitational and gauge instantons of tanh-kink type as constructed in…

High Energy Physics - Theory · Physics 2014-12-05 Alexander S. Haupt , Olaf Lechtenfeld , Edvard T. Musaev

We consider heterotic E8xE8 supergravity compactified on smooth Calabi-Yau manifolds with line bundle gauge backgrounds. Infinite sets of models that satisfy the Bianchi identities and flux quantization conditions can be constructed by…

High Energy Physics - Theory · Physics 2015-08-26 Stefan Groot Nibbelink , Orestis Loukas , Fabian Ruehle , Patrick K. S. Vaudrevange

We discuss perturbative four-dimensional compactifications of both the SO(32) heterotic and the Type I string on smooth Calabi-Yau manifolds endowed with general non-abelian and abelian bundles. We analyse the generalized Green-Schwarz…

High Energy Physics - Theory · Physics 2009-11-11 Ralph Blumenhagen , Gabriele Honecker , Timo Weigand

By fibering the duality between the $E_{8}\times E_{8}$ heterotic string on $T^{3}$ and M-theory on K3, we study heterotic duals of M-theory compactified on $G_{2}$ orbifolds of the form $T^{7}/\mathbb{Z}_{2}^{3}$. While the heterotic…

High Energy Physics - Theory · Physics 2021-09-22 Bobby Samir Acharya , Alex Kinsella , David R. Morrison

We study different aspects of the non-perturbative superpotentials induced by Euclidean E3-branes on systems of D3/D7-branes located at Abelian orbifold singularities. We discuss in detail how the induced couplings are consistent with the…

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

We show how the level matching condition in six dimensional, abelian and supersymmetric orbifolds of the E_8 x E_8 heterotic string can be given equivalently in terms of fractional gauge and gravitational instanton numbers. This relation is…

High Energy Physics - Theory · Physics 2015-06-25 Jan O. Conrad

We report on the construction of four-dimensional string vacua by considering general abelian and non-abelian bundles on an internal Calabi-Yau for both heterotic theories. The structure of the resulting gauge sector is extremely rich and…

High Energy Physics - Theory · Physics 2009-11-11 Timo Weigand

The dimensional reduction of eleven dimensional supergravity on a Calabi-Yau manifold gives N=2 supergravity in five dimensions with $h_{1,1}$ vector and $h_{2,1}+1$ hypermultiplets. In this paper instanton solutions are constructed which…

High Energy Physics - Theory · Physics 2009-10-31 Michael Gutperle , Michal Spalinski

We find semi-local fractional instantons of codimension four in Abelian and non-Abelian gauge theories coupled with scalar fields and the corresponding ${\mathbb C}P^{N-1}$ and Grassmann sigma models at strong gauge coupling. They are 1/4…

High Energy Physics - Theory · Physics 2016-03-24 Minoru Eto , Muneto Nitta

Heterotic supergravity with (1+3)--dimensional domain wall configurations and (warped) internal, six dimensional, almost-K\"ahler manifolds $\ ^6\mathbf{X}$ are studied. Considering ten dimensional spacetimes with nonholonomic distributions…

General Physics · Physics 2017-03-24 Laurenţiu Bubuianu , Klee Irwin , Sergiu I. Vacaru

We investigate the classical stability of non-supersymmetric Freund-Rubin compactifications of Type IIB string theory on a product of three-dimensional Einstein spaces A_3 x B_3 with both NS-NS and R-R three-form fluxes turned on through…

High Energy Physics - Theory · Physics 2014-11-18 Yoon Pyo Hong , Indrajit Mitra

We present new SO(4)-invariant and non-supersymmetric instanton solutions for the conformally coupled m^2=-2 and massive m^2=+4 (pseudo)scalars arising from a consistent truncation of 11-dimensional supergravity over AdS_4 x S^7/Z_k when…

High Energy Physics - Theory · Physics 2023-01-20 M. Naghdi

We obtain non-trivial solutions to the heterotic $\rm{G}_2$ system, which are defined on the total spaces of non-trivial circle bundles over Calabi--Yau $3$-orbifolds. By adjusting the $S^1$ fibres in proportion to a power of the string…

Differential Geometry · Mathematics 2023-07-26 Jason D. Lotay , Henrique N. Sá Earp

We provide an exhaustive classification of self-dual four-dimensional gravitational instantons foliated with three-dimensional homogeneous spaces, i.e. homogeneous self-dual metrics on four-dimensional Euclidean spaces admitting a Bianchi…

High Energy Physics - Theory · Physics 2010-04-22 F. Bourliot , J. Estes , P. M. Petropoulos , Ph. Spindel
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