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These lectures provide a self-contained introduction to flux compactifications of type IIB string theory on Calabi-Yau orientifolds. The first lecture begins with geometric foundations, then presents vacuum solutions in Calabi-Yau…

High Energy Physics - Theory · Physics 2025-12-22 Liam McAllister , Andreas Schachner

Type IIA flux compactifications with O6-planes have been argued from a four dimensional effective theory point of view to admit stable, moduli free solutions. We discuss in detail the ten dimensional description of such vacua and present…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Benini

We identify the auxiliary fields in the hypermultiplets of type IIB string theory compactified on a Calabi-Yau manifold, using a combination of worldsheet and supergravity techniques. The SUSY-breaking squark and gaugino masses in type IIB…

High Energy Physics - Theory · Physics 2009-12-15 Albion Lawrence , Tobias Sander , Michael B. Schulz , Brian Wecht

We study properties of flux vacua in type IIB string theory in several simple but illustrative models. We initiate the study of the relative frequencies of vacua with vanishing superpotential W=0 and with certain discrete symmetries. For…

High Energy Physics - Theory · Physics 2009-10-07 Oliver DeWolfe , Alexander Giryavets , Shamit Kachru , Washington Taylor

We study supersymmetric AdS$_3$ flux vacua of massive type-IIA supergravity on anisotropic G2 orientifolds. Depending on the value of the $F_4$ flux the seven-dimensional compact space can either have six small and one large dimension such…

High Energy Physics - Theory · Physics 2023-11-30 Fotis Farakos , Matteo Morittu

We study the geometric realization of the Higgs phenomenon in type II string compactifications on Calabi--Yau manifolds. The string description is most directly phrased in terms of confinement of magnetic flux, with magnetic charged states…

High Energy Physics - Theory · Physics 2009-10-30 Brian R. Greene , David R. Morrison , Cumrun Vafa

The four dimensional gauged supergravities descending from non-geometric string compactifications involve a wide class of flux objects which are needed to make the theory invariant under duality transformations at the effective level.…

High Energy Physics - Theory · Physics 2009-02-20 Adolfo Guarino , George James Weatherill

We construct non-perturbatively exact four-dimensional Minkowski vacua of type IIB string theory with non-trivial fluxes. These solutions are found by gluing together, consistently with U-duality, local solutions of type IIB supergravity on…

High Energy Physics - Theory · Physics 2015-06-23 Philip Candelas , Andrei Constantin , Cesar Damian , Magdalena Larfors , Jose Francisco Morales

We construct worldsheet descriptions of heterotic flux vacua as the IR limits of N=2 gauge theories. Spacetime torsion is incorporated via a 2d Green-Schwarz mechanism in which a doublet of axions cancels a one-loop gauge anomaly. Manifest…

High Energy Physics - Theory · Physics 2008-11-26 Allan Adams , Morten Ernebjerg , Joshua M. Lapan

We perform dimensional reductions of type IIA and type IIB double field theory in the flux formulation on Calabi-Yau three-folds and on $K3\times T^2$. In addition to geometric and non-geometric three-index fluxes and Ramond-Ramond fluxes,…

High Energy Physics - Theory · Physics 2018-08-01 Philip Betzler , Erik Plauschinn

We study limits of four-dimensional type II Calabi-Yau compactifications with vanishing four-cycle singularities, which are dual to $\IT^2$ compactifications of the six-dimensional non-critical string with $E_8$ symmetry. We define proper…

High Energy Physics - Theory · Physics 2016-09-06 W. Lerche , P. Mayr , N. P. Warner

A scenario for stabilization of axionic moduli fields in the context of type IIB Calabi-Yau flux compactifications is discussed in detail. We consider the case of a Calabi-Yau orientifold with h^{1,1}_- \neq 0 which allows for the presence…

High Energy Physics - Theory · Physics 2009-01-27 Kiril Hristov

A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string…

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

We analyse type IIA Calabi-Yau orientifolds with background fluxes and D6-branes. Rewriting the F-term scalar potential as a bilinear in flux-axion polynomials yields a more efficient description of the Landscape of flux vacua, as they are…

High Energy Physics - Theory · Physics 2020-07-06 Fernando Marchesano , Joan Quirant

In type IIB string compactifications on a Calabi-Yau threefold, the hypermultiplet moduli space $M_H$ must carry an isometric action of the modular group SL(2,Z), inherited from the S-duality symmetry of type IIB string theory in ten…

High Energy Physics - Theory · Physics 2012-10-12 Sergei Alexandrov , Boris Pioline

We derive necessary and sufficient conditions for N=1 compactifications of (massive) IIA supergravity to AdS(4) in the language of SU(3) structures. We find new solutions characterized by constant dilaton and nonzero fluxes for all form…

High Energy Physics - Theory · Physics 2009-10-07 D. Lust , D. Tsimpis

Stable de Sitter solutions in minimal F-term supergravity are known to lie close to Minkowski critical points. We consider a class of STU-models arising from type IIB compactifications with generalised fluxes. There, we apply an analytical…

High Energy Physics - Theory · Physics 2015-05-19 J. Blåbäck , U. H. Danielsson , G. Dibitetto , S. C. Vargas

Type IIA flux compactifications with O6-planes have been argued from a four dimensional effective theory point of view to admit stable, moduli free solutions. We discuss in detail the ten dimensional description of such vacua and present…

High Energy Physics - Theory · Physics 2010-10-27 Bobby S. Acharya , Francesco Benini , Roberto Valandro

We construct a wide class of non-geometric compactifications of type II superstring theories preserving N=1 space-time supersymmetry in four dimensions, starting from Calabi-Yau compactifications at Gepner points. Particular examples of…

High Energy Physics - Theory · Physics 2015-10-23 Dan Israel

We use Dwork's deformation method to calculate the Hasse-Weil Zeta function of multi-parameter families of Calabi-Yau three and fourfolds. This information is used to identify subslices of codimension one in the complex-structure moduli…

High Energy Physics - Theory · Physics 2025-12-24 Paul Blesse , Janis Dücker , Albrecht Klemm , Julian F. Piribauer