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We analyze the structure of matter representations arising from codimension two singularities in F-theory, focusing on gauge groups SU(N). We give a detailed local description of the geometry associated with several types of singularities…

High Energy Physics - Theory · Physics 2015-05-28 David R. Morrison , Washington Taylor

We consider F-theory compactifications on a mirror pair of elliptic Calabi-Yau threefolds. This yields two different six-dimensional theories, each of them being nonperturbatively equivalent to some compactification of heterotic strings on…

High Energy Physics - Theory · Physics 2009-10-30 Eugene Perevalov , Govindan Rajesh

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 initiate a systematic investigation of F-theory on elliptic fibrations with singularities which cannot be resolved without breaking the Calabi-Yau condition, corresponding to $\mathbb Q$-factorial terminal singularities. It is the…

High Energy Physics - Theory · Physics 2020-11-11 Philipp Arras , Antonella Grassi , Timo Weigand

We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of conifold singularities, which engineers a 3d…

High Energy Physics - Theory · Physics 2014-06-05 Kenneth Intriligator , Hans Jockers , Peter Mayr , David R. Morrison , M. Ronen Plesser

We study topology change in M theory compactifications on Calabi-Yau three-folds in the presence of G flux (the four form field strength). In particular, we discuss vacuum solutions in strongly coupled heterotic string theory in which the…

High Energy Physics - Theory · Physics 2014-11-18 Brian R. Greene , Koenraad Schalm , Gary Shiu

We review cosmological solutions of type II superstrings and M-theory, emphasizing the role of non-vanishing Ramond form backgrounds. Compactifications on flat and, more generally, maximally symmetric spatial subspaces are presented. We…

High Energy Physics - Theory · Physics 2007-05-23 Andre Lukas , Burt A. Ovrut , Daniel Waldram

While M- and F-theory compactifications describe a much larger class of vacua than perturbative string compactifications, they typically need singularities to generate non-abelian gauge fields and charged matter. The physical explanation…

High Energy Physics - Theory · Physics 2023-10-10 R. Donagi , M. Wijnholt

We continue our study of compactifications of F-theory on Calabi--Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory duals for arbitrary heterotic compactifications on…

High Energy Physics - Theory · Physics 2010-11-19 David R. Morrison , Cumrun Vafa

We investigate gauge theories and matter contents in F-theory compactifications on families of genus-one fibered Calabi-Yau 4-folds lacking a global section. To construct families of genus-one fibered Calabi-Yau 4-folds that lack a global…

High Energy Physics - Theory · Physics 2019-05-07 Yusuke Kimura

We derive the anomaly 8-form of 6-dimensional gauge theories arising in F theory compactifications on elliptic Calabi-Yau threefolds. The result allows to determine the matter content of certain such theories in terms of intersection…

High Energy Physics - Theory · Physics 2009-10-30 Vladimir Sadov

In this work we explore the physics associated to Calabi-Yau (CY) n-folds that can be described as a fibration in more than one way. Beginning with F-theory vacua in various dimensions, we consider limits/dualities with M-theory, type IIA,…

High Energy Physics - Theory · Physics 2016-11-23 Lara B. Anderson , Xin Gao , James Gray , Seung-Joo Lee

F-theory, as Theory of Everything is compactified on Calabi-Yau threefolds or fourfolds. Using toric approximation of Batyrev and mirror symmetry of Calabi-Yau manifolds it is possible to present Calabi-Yau in the form of dual integer…

High Energy Physics - Theory · Physics 2020-04-24 Tetiana V. Obikhod

We show how an F-theory compactified on a Calabi-Yau (n+1)-fold in appropriate weak coupling limit reduces formally to an orientifold of type IIB theory compactified on an auxiliary complex n-fold. In some cases (but not always) if the…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples…

High Energy Physics - Theory · Physics 2010-05-28 Steven B. Giddings , Shamit Kachru , Joseph Polchinski

The enhanced gauge groups in F-theory compactified on elliptic Calabi-Yau fourfolds are investigated in terms of toric geometry.

High Energy Physics - Theory · Physics 2007-05-23 Yu. Malyuta , T. Obikhod

We discuss F-theory backgrounds associated to flat torus bundles over Ricci-flat manifolds. In this setting the F-theory background can be understood as a IIB orientifold with a large radius limit described by a supersymmetric…

High Energy Physics - Theory · Physics 2023-11-23 Peng Cheng , Ilarion V. Melnikov , Ruben Minasian

We use the method of stable degenerations to study the local geometry of Calabi-Yau fourfolds for F-theory compactifications dual to heterotic compactifications on a Calabi-Yau threefold with fivebranes wrapping holomorphic curves in the…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Govindan Rajesh

We briefly review attempts to construct string theories that yield the standard model, concentrating on models with a geometric interpretation. Calabi-Yau compactifications are discussed in the context of both the weakly coupled heterotic…

High Energy Physics - Theory · Physics 2007-05-23 D. Bailin , G. V. Kraniotis , A. Love

We give a short review of a large class of warped string geometries, obtained via F-theory compactified on Calabi-Yau fourfolds, that upon reduction to 5 dimensions give consistent supersymmetric realizations of the RS compactification…

High Energy Physics - Theory · Physics 2010-04-06 Chang S. Chan , Percy L. Paul , Herman Verlinde