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There is a canonical isomorphism between the coarse moduli spaces of somooth hyperelliptic curves of genus g and binary forms of degree 2g+2 with nonzero discriminant. In this paper, we study the extension of this isomorphism to the…

Algebraic Geometry · Mathematics 2007-05-23 Dan Avritzer , Herbert Lange

We consider a large coupling limit of a Born-Infeld action in a curved background of an arbitrary metric and a constant two form field. Following hep-th/0009061, we go to the Hamiltonian description. The Hamiltonian can be dualized and the…

High Energy Physics - Theory · Physics 2014-11-18 I. Y. Park

In this paper we study compactifications of the ${\cal N}=2$ heterotic $E_8\times E_8$ string on $(K3\times T^2)/\mathbb{Z}_3$ with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that…

High Energy Physics - Theory · Physics 2020-05-20 Andreas Banlaki , Aradhita Chattopadhyaya , Abhiram Kidambi , Thorsten Schimannek , Maria Schimpf

We present scattering of stringy states of closed bosonic string compactified on d-dimensional torus. We focus our attention on scattering of moduli and gauge bosons. These states appear when massless excitations such as graviton and…

High Energy Physics - Theory · Physics 2015-12-09 Jnanaveda Maharana

We explicitly analyse $O(\alpha')$ corrections to heterotic supergravity on toroidal orbifolds and their resolutions, which play important roles in string phenomenology as well as moduli stabilisation. Using a conformal factor ansatz that…

High Energy Physics - Theory · Physics 2019-06-19 Pompey Leung , Hajime Otsuka

We study new compactifications of the SO(32) heterotic string theory on compact complex non-Kahler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing…

High Energy Physics - Theory · Physics 2010-02-03 Katrin Becker , Melanie Becker , Keshav Dasgupta , Paul S. Green

A $D>2$ topological string is presented by coupling the $2d$ topological gravity with the twisted version of the $N=2$ superconformal matter with $c=3k/(k-2)$. The latter is shown to admit $k+1$ chiral primary fields from the…

High Energy Physics - Theory · Physics 2008-02-03 Feng Yu

The role of entanglement in determining the non-classicality of a given interaction has gained significant traction over the last few years. In particular, as the basis for new experimental proposals to test the quantum nature of the…

Quantum Physics · Physics 2023-11-15 A. Douglas K. Plato , Dennis Rätzel , Chuanqi Wan

We examine the role of global topological data associated to choices of holonomy for flat gauge fields in string compactification. Our study begins with perturbative string compactification on compact flat manifolds preserving 8…

High Energy Physics - Theory · Physics 2023-05-03 Peng Cheng , Ilarion V. Melnikov , Ruben Minasian

We define a new class of completions of locally symmetric varieties of type IV which interpolates between the Baily-Borel compactification and Mumford's toric compactifications. An arithmetic arrangement in a locally symmetric variety of…

Algebraic Geometry · Mathematics 2007-05-23 Eduard Looijenga

We consider an eleven dimensional supergravity compactified on $K3\times T^2$ and show that the resulting five dimensional theory has identical massless states as that of heterotic string compactified on a specific five torus $T^5$. The…

High Energy Physics - Theory · Physics 2009-10-28 Supriya Kar , Jnanadeva Maharana , Sudhakar Panda

Heterotic string compactifications on integrable $G_2$ structure manifolds $Y$ with instanton bundles $(V,A), (TY,\tilde{\theta})$ yield supersymmetric three-dimensional vacua that are of interest in physics. In this paper, we define a…

High Energy Physics - Theory · Physics 2017-12-06 Xenia de la Ossa , Magdalena Larfors , Eirik E. Svanes

We find de Sitter and flat space solutions with all moduli stabilized in four dimensional supergravity theories derived from the heterotic and type II string theories, and explain how all the previously known obstacles to finding such…

High Energy Physics - Theory · Physics 2010-12-03 R. Brustein , S. P. de Alwis

We propose that under certain conditions heterotic string compactifications on half-flat and nearly-Kahler manifolds are equivalent. Based on this correspondence we argue that the moduli space of the nearly-Kahler manifolds under discussion…

High Energy Physics - Theory · Physics 2009-11-10 Andrei Micu

We calculate the gravitational corrections to the effective action of N=2 SU(2) Seiberg-Witten theory with matter using modularity, the holomorphic anomaly equation and expected behavior at the boundaries of the moduli space. As in pure…

High Energy Physics - Theory · Physics 2014-11-18 Min-xin Huang , Albrecht Klemm

A field theory approach to summing threshold effects to the gauge couplings in a two-torus compactification is presented and the link with the (heterotic) string calculation is carefully investigated. We analyse whether the complete UV…

High Energy Physics - Theory · Physics 2008-11-26 D. M. Ghilencea , S. Groot Nibbelink

We discuss heterotic string theories in two dimensions with gauge groups Spin(24) and Spin(8) x E_8. After compactification the theories exhibit a rich spectrum of states with both winding and momentum. At special points some of these…

High Energy Physics - Theory · Physics 2009-11-11 Joshua L. Davis , Finn Larsen , Nathan Seiberg

In this paper we consider Type I string theory compactified on a Z_7 orbifold. The model has N=1 supersymmetry, a U(4) \otimes U(4) \otimes U(4) \otimes SO(8) gauge group, and chiral matter. There are only D9-branes (for which we discuss…

High Energy Physics - Theory · Physics 2010-11-19 Zurab Kakushadze , Gary Shiu

We study toroidal compactifications of string theories which include compactification of a timelike coordinate. Some new features in the theory of toroidal compactifications arise. Most notably, Narain moduli space does not exist as a…

High Energy Physics - Theory · Physics 2007-05-23 G. Moore

Duality Symmetry is studied for heterotic string orbifold compactifications in the presence of a general background which in addition to the metric and antisymmetric tensor contains both discrete and continuous Wilson lines background.

High Energy Physics - Theory · Physics 2010-11-01 D. Bailin , A. Love , W. A. Sabra , S. Thomas