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At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , C. N. Pope , K. S. Stelle

We provide a general technique for collectively analysing a manifestly covariant formulation of non-abelian gauge theories on both anti de Sitter as well as de Sitter spaces. This is done by stereographically projecting the corresponding…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi

We study type II$_0$ loci in the moduli space of type IIB string theory compactified on Calabi-Yau manifolds. We show that around these infinite distance singular loci the leading order behaviour of the gauge kinetic matrix, and of the…

High Energy Physics - Theory · Physics 2026-03-12 Jarod Hattab , Eran Palti

We prove that the deformation theory of compactifiable asymptotically cylindrical Calabi-Yau manifolds is unobstructed. This relies on a detailed study of the Dolbeault-Hodge theory and its description in terms of the cohomology of the…

Differential Geometry · Mathematics 2014-09-25 Ronan J. Conlon , Rafe Mazzeo , Frédéric Rochon

We propose an analytic method to calculate the matter field K\"ahler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields. The matter field K\"ahler metric determines the normalisations…

High Energy Physics - Theory · Physics 2018-05-23 Stefan Blesneag , Evgeny I. Buchbinder , Andrei Constantin , Andre Lukas , Eran Palti

We develop a method to analyze systematically the configuration space of a D-brane localized at the orbifold singular point of a Calabi--Yau $d$-fold of the form ${\Bbb C}^d/\Gamma$ using the theory of toric quotients. This approach…

High Energy Physics - Theory · Physics 2009-10-31 Kenji Mohri

We use an exactly solvable (0,2) supersymmetric conformal field theory with gauge group SO(10) to investigate the superpotential of the corresponding classical string vacuum. We provide evidence that the rational point lies in the…

High Energy Physics - Theory · Physics 2009-10-30 Ralph Blumenhagen , Andreas Wisskirchen

We construct more dual pairs of type II-heterotic strings in four dimensions with $N=2,1$ spacetime supersymmetry. On the type II side the construction utilizes the various possible choices of K3 automorphisms with fixed points which…

High Energy Physics - Theory · Physics 2015-06-26 H. B. Gao

We study string loop corrections to the gravity kinetic terms in type IIB compactifications on Calabi-Yau threefolds or their orbifold limits, in the presence of $D7$-branes and orientifold planes. We show that they exhibit in general a…

High Energy Physics - Theory · Physics 2020-01-29 Ignatios Antoniadis , Yifan Chen , George K. Leontaris

We study five-dimensional minimally supersymmetric gauge theory compactified on a torus down to three dimensions, and its embedding into string/M-theory using geometric engineering. The moduli space on the Coulomb branch is hyperkaehler…

High Energy Physics - Theory · Physics 2015-05-28 Babak Haghighat , Stefan Vandoren

We will propose a derivation of the correspondence between certain gauge theories with N=2 supersymmetry and conformal field theory discovered by Alday, Gaiotto and Tachikawa in the spirit of Seiberg-Witten theory. Based on certain results…

High Energy Physics - Theory · Physics 2013-04-26 G. Vartanov , J. Teschner

We revisit the duality between heterotic string theory compactified on K3 x T^2 and type IIA compactified on a Calabi-Yau threefold X in the hypermultiplet sector. We derive an explicit map between the field variables of the respective…

High Energy Physics - Theory · Physics 2015-06-03 Jan Louis , Roberto Valandro

Let $(M,g)$ be a compact K\"ahler manifold and $f$ a positive smooth function such that its Hamiltonian vector field $K = J\mathrm{grad}_g f$ for the K\"ahler form $\omega_g$ is a holomorphic Killing vector field. We say that the pair…

Differential Geometry · Mathematics 2017-08-15 Akito Futaki , Hajime Ono

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

By employing the symmetries of the underlying conformal field theory, the tree-level K\"ahler potentials for untwisted moduli of the heterotic string compactifications on orbifolds with continuous Wilson lines are derived. These symmetries…

High Energy Physics - Theory · Physics 2016-09-06 M. Cvetic , B. Ovrut , W. A. Sabra

We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a…

High Energy Physics - Theory · Physics 2019-12-06 Hiroshi Kunitomo , Tatsuya Sugimoto

Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order $e^{-1/g_s}$ contributions, where $g_s$ is the string coupling. The…

High Energy Physics - Theory · Physics 2009-09-17 Katrin Becker , Melanie Becker , Andrew Strominger

We study the possibility of obtaining metastable de Sitter vacua of heterotic string theory compactified on a Calabi-Yau threefold which are classical and simple in the K\"ahler moduli sector of the theory. For this, we exploit a known…

High Energy Physics - Theory · Physics 2013-05-08 Dirk Rathlev

We study the statistics of the metric on K\"ahler moduli space in compactifications of string theory on Calabi-Yau hypersurfaces in toric varieties. We find striking hierarchies in the eigenvalues of the metric and of the Riemann curvature…

High Energy Physics - Theory · Physics 2015-06-22 Cody Long , Liam McAllister , Paul McGuirk

Using the linear multiplet formulation for the dilaton superfield, we construct an effective lagrangian for hidden-sector gaugino condensation in string effective field theories with arbitrary gauge groups and matter. Nonperturbative string…

High Energy Physics - Theory · Physics 2009-10-30 Pierre Binetruy , Mary K. Gaillard , Yi-Yen Wu