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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

In heterotic flux compactification with supersymmetry, three different connections with torsion appear naturally, all in the form $\omega+a H$. Supersymmetry condition carries $a=-1$, the Dirac operator has $a=-1/3$, and higher order term…

High Energy Physics - Theory · Physics 2009-11-11 Tetsuji Kimura , Piljin Yi

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

High Energy Physics - Theory · Physics 2018-09-28 Andrei Constantin

Deformations of the heterotic superpotential give rise to a topological holomorphic theory with similarities to both Kodaira-Spencer gravity and holomorphic Chern-Simons theory. Although the action is cubic, it is only quadratic in the…

High Energy Physics - Theory · Physics 2025-01-09 Javier José Murgas Ibarra , Paul-Konstantin Oehlmann , Fabian Ruehle , Eirik Eik Svanes

We study the sub-structure of the heterotic Kahler moduli space due to the presence of non-Abelian internal gauge fields from the perspective of the four-dimensional effective theory. Internal gauge fields can be supersymmetric in some…

High Energy Physics - Theory · Physics 2009-09-28 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

We present models of heterotic compactification on Calabi-Yau threefolds and compute the non-perturbative superpotential for vector bundle moduli. The key feature of these models is that the threefolds, which are elliptically fibered over…

High Energy Physics - Theory · Physics 2018-10-17 Evgeny I. Buchbinder , Ling Lin , Burt A. Ovrut

We derive the supersymmetric low-energy effective theory of the D-flat directions of a supersymmetric gauge theory. The Kahler potential of Affleck, Dine and Seiberg is derived by applying holomorphic constraints which manifestly maintain…

High Energy Physics - Theory · Physics 2009-09-15 Erich Poppitz , Lisa Randall

We derive the three-dimensional $\mathcal{N}=1$ effective theories obtained by compactifying all five ten-dimensional string theories on generic seven-dimensional manifolds with $G_2$ structure. The resulting flux compactifications are…

High Energy Physics - Theory · Physics 2026-05-11 Aravind Aikot , Zheng Miao , George Tringas , Timm Wrase

We derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by…

High Energy Physics - Theory · Physics 2008-11-26 R. D'Auria , S. Ferrara , M. Trigiante

We study a Floer-theoretic approach to harmonic maps from the two-torus into non-flat K\"ahler manifolds. Building on the complex-regularized polysymplectic (CRPS) formalism of [BF24], which provides a Hamiltonian description of harmonic…

Symplectic Geometry · Mathematics 2026-03-03 L. Asselle , R. Brilleslijper

We explicitly describe, in the language of four-dimensional N=1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2009-12-15 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

This paper constructs the reduction of heterotic $M$-theory in eleven dimensions to a supergravity model on a manifold with boundary in five dimensions using a Calabi-Yau three-fold. New results are presented for the boundary terms in the…

High Energy Physics - Theory · Physics 2015-05-30 Ian G. Moss , John T. Omotani , Paul M. Saffin

We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in…

High Energy Physics - Theory · Physics 2010-02-04 Jonas Schmidt

The Higgs mixing term coefficient $\mu_{eff}$ is calculated in the scalar potential in supergravity theories with string origin, in a model independent approach. A general low energy effective expression is derived, where new contributions…

High Energy Physics - Theory · Physics 2009-10-30 G. K. Leontaris , N. D. Tracas

We derive the five-dimensional effective action of strongly coupled heterotic string theory for the complete (1,1) sector of the theory by performing a reduction, on a Calabi-Yau three-fold, of M-theory on S^1/Z_2. A crucial ingredient for…

High Energy Physics - Theory · Physics 2016-09-06 Andre Lukas , Burt A. Ovrut , K. S. Stelle , Daniel Waldram

We first describe the low energy dynamics of ten dimensional heterotic supergravity compactified on the smooth, flat 3-manifold ${\mathbb T^3}/{\mathbb Z_2}$, without supersymmetry, and explain how it arises from flat heterotic gauge…

High Energy Physics - Theory · Physics 2022-05-23 Bobby Samir Acharya , Gerardo Aldazabal , Anamaría Font , Kumar Narain , Ida G. Zadeh

We consider compactifications of type IIA superstring theory on mirror-folds obtained as K3 fibrations over two-tori with non-geometric monodromies involving mirror symmetries. At special points in the moduli space these are asymmetric…

High Energy Physics - Theory · Physics 2018-10-16 Chris Hull , Dan Israel , Alessandra Sarti

Generalizing the work by Cherkis and Schwarz [1], we carry out the double dimensional reduction of supersymmetric M5 brane on K3 to obtain the supersymmetric action of heterotic string in 7-dimensional flat space-time. Motivated by this…

High Energy Physics - Theory · Physics 2009-08-17 Jaemo Park , Woojoo Sim

We present the first example of a Kahler potential for heterotic M-theory which includes gauge bundle moduli. These moduli describe the background gauge field configurations living on the orbifold fixed planes. We concentrate on the bundle…

High Energy Physics - Theory · Physics 2007-05-23 James Gray

Fu and Yau constructed the first smooth family of gauge bundles over a class of non-Kahler, complex 3-folds that are solutions to Strominger's system, the heterotic supersymmetry constraints with nonzero H-flux. In this paper, we begin the…

High Energy Physics - Theory · Physics 2008-11-26 Michelle Cyrier , Joshua M. Lapan