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Related papers: F-theory at order $\alpha'^3$

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In this work we study F-theory compactifications on elliptically fibered Calabi-Yau n-folds which have $\mathbb{P}^1$-fibered base manifolds. Such geometries, which we study in both 4- and 6-dimensions, are both ubiquitous within the set of…

High Energy Physics - Theory · Physics 2021-09-24 Lara B. Anderson , James Gray , Mohsen Karkheiran , Paul-Konstantin Oehlmann , Nikhil Raghuram

Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , D. Hofmann , W. Kummer

We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra. We present a base-independent analysis of the…

High Energy Physics - Theory · Physics 2015-06-22 Denis Klevers , Damian Kaloni Mayorga Pena , Paul-Konstantin Oehlmann , Hernan Piragua , Jonas Reuter

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

We construct six-dimensional (6D) F-theory models in which discrete $\mathbb{Z}_5, \mathbb{Z}_4, \mathbb{Z}_3,$ and $\mathbb{Z}_2$ gauge symmetries arise. We demonstrate that a special family of "Fano 3-folds" is a useful tool for…

High Energy Physics - Theory · Physics 2019-07-08 Yusuke Kimura

Starting from the type IIB Dirichlet 3-brane action, we obtain a Nambu-Goto action. It is interpreted as the world volume action of a fundamental 3-brane, and its target space theory as F-theory. The target space is twelve dimensional, with…

High Energy Physics - Theory · Physics 2009-10-30 Dileep P. Jatkar , S. Kalyana Rama

We carry out the canonical analysis of the coupling of a $4$-dimensional effective action that arises from a dimensional reduction of a $7$-dimensional BF theory to the Palatini action in $4$-dimensions with cosmological constant, focusing…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Ricardo Escobedo , Roberto Santos-Silva , Claudia Moreno , Rafael Hernández-Jiménez

We give an indirect argument for the matching $G^2=-\pi_* \gamma^2$ of four-flux and discrete twist in the duality between N=1 heterotic string and $F$-theory. This treats in detail the Euler number computation for the physically relevant…

High Energy Physics - Theory · Physics 2007-05-23 Bjorn Andreas , Gottfried Curio

We construct supersymmetric AdS_3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N=(0,4) superconformal field theories with small superconformal algebra. In F-theory…

High Energy Physics - Theory · Physics 2017-09-13 Christopher Couzens , Craig Lawrie , Dario Martelli , Sakura Schafer-Nameki , Jin-Mann Wong

We review several aspects of heterotic, type II, F-theory, and M-theory compactifications on Calabi-Yau threefolds and fourfolds. In the context of dualities we focus on the heterotic gauge structure determined by the various types of…

High Energy Physics - Theory · Physics 2010-11-19 I. Brunner , M. Lynker , R. Schimmrigk

We consider two-dimensional supergravity theories with four supercharges constructed from compactification of Type II string theory on a generic Calabi-Yau four-fold. In Type IIA and Type IIB cases, respectively, new superspace formulations…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei Gukov , Edward Witten

We study the dynamics of axion-like fields in F-theory and suggest that they can serve as inflatons in models of natural inflation. The axions arise from harmonic three-forms on the F-theory compactification space and parameterize a complex…

High Energy Physics - Theory · Physics 2021-12-21 Thomas W. Grimm

We study M-theory compactified on a specific class of seven-dimensional manifolds with SU(3) structure. The manifolds can be viewed as a fibration of an arbitrary Calabi-Yau threefold over a circle, with a U-duality twist around the circle.…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Micha Berkooz , Jan Louis , Andrei Micu

We derive four-dimensional effective theories for warped compactification of the ten-dimensional IIB supergravity and the eleven-dimensional Horava-Witten model. We show that these effective theories allow a much wider class of solutions…

High Energy Physics - Theory · Physics 2009-11-11 Hideo Kodama , Kunihito Uzawa

We elucidate the interplay between gauge and supersymmetry anomalies in six-dimensional $N=1$ supergravity with generalized couplings between tensor and vector multiplets. We derive the structure of the five-dimensional supergravity…

High Energy Physics - Theory · Physics 2009-10-30 Sergio Ferrara , Ruben Minasian , Augusto Sagnotti

For each pair of elliptic Calabi--Yau $3$-folds in the list of Knapp--Scieidegger--Schimannek \cite{2107.05647}, we prove that they are derived-equivalent linear over the base. Except one self-dual pair, each yields two families of smooth…

Algebraic Geometry · Mathematics 2024-05-07 Hayato Morimura

The F-theory vacuum constructed from an elliptic Calabi-Yau threefold with section yields an effective six-dimensional theory. The Lie algebra of the gauge sector of this theory and its representation on the space of massless…

High Energy Physics - Theory · Physics 2007-05-23 Paul S. Aspinwall , Sheldon Katz , David R. Morrison

We study F-Theory compactifications to four dimensions that exhibit discrete gauge symmetries. Geometrically these arise by deforming elliptic fibrations with two sections to a genus-one fibration with a bi-section. From a four-dimensional…

High Energy Physics - Theory · Physics 2015-06-22 Christoph Mayrhofer , Eran Palti , Oskar Till , Timo Weigand

We construct solutions of type IIB supergravity dual to N=2 super Yang-Mills theories. By considering a probe moving in a background with constant coupling and an AdS_{5} component in its geometry, we are able to reproduce the exact low…

High Energy Physics - Theory · Physics 2009-10-31 Robert de Mello Koch , Alastair Paulin-Campbell , Joao P. Rodrigues

In this study, we analyze gauge groups in six-dimensional $N=1$ F-theory models. We construct elliptic Calabi-Yau 3-folds possessing various singularity types as double covers of "1/2 Calabi-Yau 3-folds", a class of rational elliptic…

High Energy Physics - Theory · Physics 2021-02-11 Yusuke Kimura
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