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These lecture notes are devoted to formal and phenomenological aspects of F-theory. We begin with a pedagogical introduction to the general concepts of F-theory, covering classic topics such as the connection to Type IIB orientifolds, the…

High Energy Physics - Theory · Physics 2010-11-26 Timo Weigand

As a refinement of the Swampland Distance Conjecture, we propose that a quantum gravitational theory in an infinite distance limit of its moduli space either decompactifies, or reduces to an asymptotically tensionless, weakly coupled string…

High Energy Physics - Theory · Physics 2022-02-24 Seung-Joo Lee , Wolfgang Lerche , Timo Weigand

We study elliptic fibrations for F-theory compactifications realizing 4d and 6d supersymmetric gauge theories with abelian gauge factors. In the fibration these U(1) symmetries are realized in terms of additional rational sections. We…

High Energy Physics - Theory · Physics 2018-11-27 Craig Lawrie , Sakura Schafer-Nameki , Jin-Mann Wong

We show how F-theory on a Calabi-Yau (n+1)-fold, in appropriate limit, can be identified as an orientifold of type IIB string theory compactified on a Calabi-Yau n-fold.

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

We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations…

High Energy Physics - Theory · Physics 2022-01-05 Mirjam Cvetic , Markus Dierigl , Ling Lin , Hao Y. Zhang

We attempt to find a rigorous formulation for the massive type IIA orientifold compactifications of string theory introduced in hep-th/0505160. An approximate double T-duality converts this background into IIA string theory on a twisted…

High Energy Physics - Theory · Physics 2010-10-27 T. Banks , K. van den Broek

We prove that a fibration X \to \Bbb P_1, the general fiber of which is a smooth Fano threefold, is rationally connected. The proof is based on a generalization of Tsen's classical theorem: a fibration X/C over a curve the general fiber of…

Algebraic Geometry · Mathematics 2015-06-26 Frederic Campana , Thomas Peternell , Aleksandr Pukhlikov

We apply the techniques of the ``universal string theory'' to the ``manifold'' paradigm for superstring/M-theory and come up with a candidate manifold: the manifold of F-theory vacua, defined in conformal field theoretical terms. It…

High Energy Physics - Theory · Physics 2007-05-23 JM Figueroa-O'Farrill

We investigate infinite distance limits in the complex structure moduli space of F-theory compactified on K3 to eight dimensions. While this is among the simplest possible arenas to test ideas about the Swampland Distance Conjecture, it is…

High Energy Physics - Theory · Physics 2022-06-29 Seung-Joo Lee , Wolfgang Lerche , Timo Weigand

Let $(S,\Phi)$ be a pair of a closed oriented surface and $\Phi$ be a real analytic flow with finitely many singularities. Let $x$ be a point of $S$ with the polycycle $\omega$-limit set $\omega(x)$. In this paper we give topological…

Dynamical Systems · Mathematics 2018-06-19 Jaeyoo Choy , Hahng-Yun Chu

We study string compactifications with sixteen supersymmetries. The moduli space for these compactifications becomes quite intricate in lower dimensions, partly because there are many different irreducible components. We focus primarily,…

High Energy Physics - Theory · Physics 2007-05-23 Jan de Boer , Robbert Dijkgraaf , Kentaro Hori , Arjan Keurentjes , John Morgan , David R. Morrison , Savdeep Sethi

Tadpole cancellation in F-theory on an elliptic Calabi-Yau fourfold $X\to B_3$ demands some spacetime-filling three-branes (points in $B_3$). If moved to the discriminant surface, which supports the gauge group, and dissolved into a finite…

High Energy Physics - Theory · Physics 2009-10-31 Bjorn Andreas , Gottfried Curio , Ruben Minasian

We study the non-perturbative superpotential generated by D(-1)-branes in type IIB compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. To compute the D-instanton superpotential, we study F-theory compactification on…

High Energy Physics - Theory · Physics 2023-10-24 Manki Kim

We classify six-dimensional F-theory compactifications in terms of simple features of the divisor structure of the base surface of the elliptic fibration. This structure controls the minimal spectrum of the theory. We determine all…

High Energy Physics - Theory · Physics 2015-06-03 David R. Morrison , Washington Taylor

We construct new F-theory vacua in 8-dimensions. They are coming by projective realizations of F-theory on $K_3$ surfaces admitting double covers onto $\P^2$, branched along a plane sextic curve, the so called double sextics. The new vacua…

High Energy Physics - Theory · Physics 2007-05-23 Christos Epameinonda Kokorelis

This is a short introduction to the study of compactifications of F-theory on elliptic Calabi-Yau threefolds near colliding singularities. In particular we consider the case of non-transversal intersections of the singular fibers.

High Energy Physics - Theory · Physics 2015-06-26 S. Penati , A. Santambrogio , D. Zanon

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 review recent progress in the construction of four-dimensional vacua of Type II string theory and F-theory which yield the Standard Model of particle physics (SM) or extensions thereof. In Type II orientifold compactifications the SM…

High Energy Physics - Theory · Physics 2022-12-16 Fernando Marchesano , Bert Schellekens , Timo Weigand

We study certain compactifications of the type I string on K3. The three topologically distinct choices of gauge bundle for the type I theory are shown to be equivalent to type IIB orientifolds with different choices of background…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen , Savdeep Sethi

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