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We study T^2 orientifolds and their moduli space in detail. Geometrical insight into the involutive automorphisms of T^2 allows a straightforward derivation of the moduli space of orientifolded T^2s. Using c=3 Gepner models, we compare the…

High Energy Physics - Theory · Physics 2007-05-23 Brandon Bates , Charles Doran , Koenraad Schalm

In this note we generalize the description of simple current extended Gepner Model orientifolds as presented in hep-th/0401148 to the case of even levels and non-trivial dressings of the parity transformation. We provide a comprehensive…

High Energy Physics - Theory · Physics 2009-11-10 Ralph Blumenhagen , Timo Weigand

Differentials on Riemann surfaces correspond to translation surfaces with conical singularities, and affine transformations acting on them preserve the orders of these singularities. This viewpoint allows the moduli spaces of differentials…

Algebraic Geometry · Mathematics 2026-01-21 Dawei Chen , Fei Yu

Let X be a nonsingular projective algebraic curve of genus g\ge3. We consider the moduli space M of stable bundles of fixed determinant with rank n and degree d coprime and d>n(2g-2). There is a universal bundle on XxM and we consider the…

Algebraic Geometry · Mathematics 2007-05-23 I. Biswas , L. Brambila-Paz , P. E. Newstead

We generalize the recent proposal that invariance under T-duality leads to additional non-geometric fluxes required so that superpotentials in type IIA and type IIB orientifolds match. We show that invariance under type IIB S-duality…

High Energy Physics - Theory · Physics 2010-12-03 G. Aldazabal , P. G. Camara , A. Font , L. E. Ibanez

We find four-dimensional de Sitter compactifications of type IIA supergravity by directly solving the ten-dimensional equations of motion. In the simplest examples, the internal space has the topology of a circle times an Einstein manifold…

High Energy Physics - Theory · Physics 2019-03-13 Clay Cordova , G. Bruno De Luca , Alessandro Tomasiello

We review the construction and phenomenology of intersecting brane worlds. The breaking of chiral and supersymmetry together with a reduction of gauge symmetry by introducing D-branes at generic angles into type I or type II string…

High Energy Physics - Theory · Physics 2015-06-26 Ralph Blumenhagen , Boris Kors , Dieter Lust , Tassilo Ott

This paper is the first part of a project aimed at understanding deformations of triangulated categories, and more precisely their dg and A infinity models, and applying the resulting theory to the models occurring in the Homological Mirror…

K-Theory and Homology · Mathematics 2012-02-09 Olivier De Deken , Wendy Lowen

We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We describe the set underlying the tt-spectrum of compact…

Representation Theory · Mathematics 2025-07-22 Paul Balmer , Martin Gallauer

We study the moduli of the universal geometry of $d=4$ $N=1$ heterotic vacua. Universal geometry refers to a family of heterotic vacua fibered over the moduli space. The universal geometry mimics aspects of the original heterotic vacua, in…

High Energy Physics - Theory · Physics 2024-12-24 Jock McOrist , Martin Sticka , Eirik Eik Svanes

The analysis of 3D symmetric second-order tensor fields often relies on topological features such as degenerate tensor lines, neutral surfaces, and their generalization to mode surfaces, which reveal important structural insights into the…

Graphics · Computer Science 2025-07-01 Tim Gerrits

Type II orientifolds based on Landau-Ginzburg models are used to describe moduli stabilization for flux compactifications of type II theories from the world-sheet CFT point of view. We show that for certain types of type IIB orientifolds…

High Energy Physics - Theory · Physics 2008-11-26 Katrin Becker , Melanie Becker , Cumrun Vafa , Johannes Walcher

We discuss the consistency conditions of a novel orientifold projection of type IIB string theory on C^2/Z_N singularities, in which one mods out by the combined action of world-sheet parity and a geometric operation which exchanges the two…

High Energy Physics - Theory · Physics 2009-10-09 Angel M. Uranga

Duality Symmetry is studied for heterotic string orbifold compactifications in the presence of a general background which in addition to the metric and antisymmetric tensor contains both discrete and continuous Wilson lines background.

High Energy Physics - Theory · Physics 2010-11-01 D. Bailin , A. Love , W. A. Sabra , S. Thomas

We study different phenomenological aspects of compact, D=4, N=1 Type IIB orientifolds considered as models for unification of the standard model and gravity. We discuss the structure of the compactification, string and unification scales…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. E. Ibáñez , C. Muñoz , S. Rigolin

This paper is a step towards the complete topological classification of {\Omega}-stable diffeomorphisms on an orientable closed surface, aiming to give necessary and sufficient conditions for two such diffeomorphisms to be topologically…

Dynamical Systems · Mathematics 2016-08-02 V. Z. Grines , O. V. Pochinka , S. Van Strien

This paper proposes a new notion of smoothness of algebras, termed differential smoothness, that combines the existence of a top form in a differential calculus over an algebra together with a strong version of the Poincar\'e duality…

Quantum Algebra · Mathematics 2015-05-07 Tomasz Brzeziński , Andrzej Sitarz

We analyse infinitesimal deformations of pairs $(X,\mathcal{F})$ with $\mathcal{F}$ a coherent sheaf on a smooth projective manifold $X$ over an algebraic closed field of characteristic $0$. We describe a differential graded Lie algebra…

Algebraic Geometry · Mathematics 2022-07-29 Donatella Iacono , Marco Manetti

Discrete symmetries, parity, time reversal, antipodal, and charge conjugation transformations for spinor field in de Sitter space, are presented in the ambient space notation, i.e. in a coordinate independent way. The PT and PCT…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Moradi , S. Rouhani , M. V. Takook

We study four dimensional $Z_2 \times Z_2$ (shift)-orientifolds in presence of internal magnetic fields and NS-NS $B$-field backgrounds, describing in some detail one explicit example with N=1 supersymmetry. These models are related by…

High Energy Physics - Theory · Physics 2007-05-23 Gianfranco Pradisi
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