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Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity of the corresponding effective field theories. Despite past efforts in computing perturbative…

High Energy Physics - Theory · Physics 2021-09-15 Michele Cicoli , Fernando Quevedo , Raffaele Savelli , Andreas Schachner , Roberto Valandro

We present the study of type II A flux vacua and their M-theory duals for compactification on a class of Calabi-Yau orientifolds. The Kaehler potential is derived from toroidal compactifications and the superpotential contains a…

High Energy Physics - Theory · Physics 2009-06-19 Giuseppe Milanesi , Roberto Valandro

We study one class of linear sigma models and their T-dualized theories for noncompact Calabi-Yau manifolds. In the low energy limit, we find that this system has various massless effective theories with orbifolding symmetries. This…

High Energy Physics - Theory · Physics 2007-05-23 Tetsuji Kimura

T-branes are a non-abelian generalization of intersecting branes in which the matrix of normal deformations is nilpotent along some subspace. In this paper we study the geometric remnant of this open string data for six-dimensional F-theory…

High Energy Physics - Theory · Physics 2015-06-17 Lara B. Anderson , Jonathan J. Heckman , Sheldon Katz

We study moduli stabilization of the F-theory compactified on an elliptically fibered Calabi-Yau fourfold. Our setup is based on the mirror symmetry framework including brane deformations. The complex structure moduli dependence of the…

High Energy Physics - Theory · Physics 2017-11-22 Yoshinori Honma , Hajime Otsuka

We construct decomposed spectral covers for bundles on elliptically fibered Calabi-Yau threefolds whose structure groups are S(U(1) x U(4)), S(U(2) x U(3)) and S(U(1) x U(1) x U(3)) in heterotic string compactifications. The decomposition…

High Energy Physics - Theory · Physics 2015-06-04 Kang-Sin Choi , Hirotaka Hayashi

This thesis explores an exotic class of M-theory compactifications in which the compact manifold is taken to be a Calabi-Yau five-fold. The resulting effective theory is a one-dimensional N=2 super-mechanics model that exhibits peculiar…

High Energy Physics - Theory · Physics 2009-12-01 Alexander S. Haupt

We discuss a simple example of an F-theory compactification on a Calabi-Yau fourfold where background fluxes, together with nonperturbative effects from Euclidean D3 instantons and gauge dynamics on D7 branes, allow us to fix all closed and…

High Energy Physics - Theory · Physics 2008-11-26 Frederik Denef , Michael R. Douglas , Bogdan Florea , Antonella Grassi , Shamit Kachru

Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that supersymmetric flux vacua are modular. That is, to a…

High Energy Physics - Theory · Physics 2020-03-31 Shamit Kachru , Richard Nally , Wenzhe Yang

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more…

High Energy Physics - Theory · Physics 2009-11-07 Mina Aganagic , Albrecht Klemm , Marcos Marino , Cumrun Vafa

Integrality in the Hodge theory of Calabi-Yau fourfolds is essential to find the vacuum structure and the anomaly cancellation mechanism of four dimensional F-theory compactifications. We use the Griffiths-Frobenius geometry and homological…

High Energy Physics - Theory · Physics 2014-05-01 Nana Cabo Bizet , Albrecht Klemm , Daniel Vieira Lopes

We study the compactification of M-theory on Calabi-Yau five-folds and the resulting N=2 super-mechanics theories. By explicit reduction from 11 dimensions, including both bosonic and fermionic terms, we calculate the one-dimensional…

High Energy Physics - Theory · Physics 2009-05-18 Alexander S. Haupt , Andre Lukas , K. S. Stelle

We present new explicit constructions of weak coupling limits of F-theory generalizing Sen's construction to elliptic fibrations which are not necessary given in a Weierstrass form. These new constructions allow for an elegant derivation of…

High Energy Physics - Theory · Physics 2015-03-13 Paolo Aluffi , Mboyo Esole

A type IIA string (or F-theory) compactified on a Calabi-Yau threefold is believed to be dual to a heterotic string on a K3 surface times a 2-torus (or on a K3 surface). We consider how the resulting moduli space of hypermultiplets is…

High Energy Physics - Theory · Physics 2010-02-03 Paul S. Aspinwall

We study compactifications of type IIB supergravity on Calabi-Yau threefolds. The resulting low energy effective Lagrangian is displayed in the large volume limit and its symmetry properties - with specific emphasis on the SL(2,Z) - are…

High Energy Physics - Theory · Physics 2009-10-31 Robert Boehm , Holger Guenther , Carl Herrmann , Jan Louis

A class of abelian fibered Calabi-Yau threefolds X_{m,n} is shown yield SU(2) structure, in addition to the standard SU(3) holonomy. Compactification of type II string theory on a manifold in this class give a 4D effective supergravity…

High Energy Physics - Theory · Physics 2012-06-19 Michael B. Schulz

The four-dimensional N=1 effective action of F-theory compactified on a Calabi-Yau fourfold is studied by lifting a three-dimensional M-theory compactification. The lift is performed by using T-duality realized via a Legendre transform on…

High Energy Physics - Theory · Physics 2011-01-04 Thomas W. Grimm

We demonstrate that type II string theory compactified on a singular Calabi-Yau manifold is related to $c=1$ string theory compactified at the self-dual radius. We establish this result in two ways. First we show that complex structure…

High Energy Physics - Theory · Physics 2009-10-28 Dileep P. Jatkar , Bas Peeters

We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and…

High Energy Physics - Theory · Physics 2010-04-07 S. Gukov , C. Vafa , E. Witten

We describe compactifications of the moduli spaces of SU(2) monopoles on R3 as manifolds with corners, with respect to which the hyperKaehler metrics admit asymptotic expansions up to each boundary face. The boundary faces encode monopoles…

Differential Geometry · Mathematics 2018-11-12 Karsten Fritzsch , Chris Kottke , Michael Singer
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