The period map for cubic fourfolds
AbstractThe period map for cubic fourfolds takes values in a locally symmetric variety of orthogonal type of dimension 20. We determine the image of this period map (thus confirming a conjecture of...
View ArticleExploring a new peak in the heterotic landscape
AbstractWe study the existence of realistic heterotic vacua on a new Abelian surface fibered Calabi-Yau threefold X with \( {\mathbb{Z}_8} \times {\mathbb{Z}_8} \) fundamental group. Our main result is...
View ArticleGlobal F-theory models: instantons and gauge dynamics
AbstractWe present and analyze in detail a compact F-theory GUT model in which D-brane instantons generate the top Yukawa coupling non-perturbatively. We elucidate certain aspects of F-theory gauge...
View ArticleGreen-Schwarz mechanism in heterotic (2,0) gauged linear sigma models:...
AbstractHeterotic string compactifications can be conveniently described in the language of (2,0) gauged linear sigma models (GLSMs). Such models allow for Fayet-Iliopoulos (FI)–terms, which can be...
View ArticleThree looks at instantons in F-theory — New insights from anomaly inflow,...
AbstractWe discuss the physics of zero modes of ED3/M5 instantons at strong coupling from three different viewpoints. Motivated by an anomaly inflow argument, we give a prescription for describing...
View ArticleGeneralized Borcea–Voisin Construction
AbstractC. Voisin and C. Borcea have constructed mirror pairs of families of Calabi–Yau threefolds by taking the quotient of the product of an elliptic curve with a K3 surface endowed with a...
View ArticleThe MSSM spectrum from (0,2)-deformations of the heterotic standard embedding
AbstractWe construct supersymmetric compactifications of E8×E8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies....
View ArticleGalileons as Wess-Zumino terms
AbstractWe show that the galileons can be thought of as Wess-Zumino terms for the spontaneous breaking of space-time symmetries. Wess-Zumino terms are terms which are not captured by the coset...
View ArticleThe associated map of the nonabelian Gauss-Manin connection
AbstractThe Gauss-Manin connection for nonabelian cohomology spaces is the isomonodromy flow. We write down explicitly the vector fields of the isomonodromy flow and calculate its induced vector fields...
View ArticleDirac gauginos and unification in F-theory
AbstractSupersymmetric models in which the gauginos acquire Dirac masses, rather than Majorana masses, offer an appealing alternative to the minimal supersymmetric standard model, especially in the...
View ArticleOn seven-brane dependent instanton prefactors in F-theory
AbstractWe study the moduli-dependent prefactor of M5-instanton corrections to the superpotential in four-dimensional F-theory compactifications. In light of the M-theory and type IIb limits and also...
View ArticleNonabelian 2D gauge theories for determinantal Calabi-Yau varieties
AbstractThe two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi-Yau manifolds of a...
View ArticleUniversal Kummer Families Over Shimura Curves
AbstractWe give a number of examples of an isomorphism between two types of moduli problems. The first classifies elliptic surfaces over the projective line with five specified singular fibers, of...
View ArticleExactly stable non-BPS spinors in heterotic string theory on tori
AbstractConsidering SO(32) heterotic string theory compactified on Td with d ≤ 4, stability of non-supersymmetric states is studied. A non-supersymmetric state with robust stability is constructed, and...
View ArticleSchoen manifold with line bundles as resolved magnetized orbifolds
AbstractWe give an alternative description of the Schoen manifold as the blow-up of a \( {{\mathbb{Z}}_2}\times {{\mathbb{Z}}_2} \) orbifold in which one \( {{\mathbb{Z}}_2} \) factor acts as a...
View ArticleMSW instantons
AbstractWe analyze M5-instantons in F-theory, or equivalently D3-instantons with varying axio-dilaton, in the presence of 7-brane gauge groups. The chiral two-form on the M5-brane plays an important...
View ArticleGeometric constraints in dual F-theory and heterotic string compactifications
AbstractWe systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the...
View ArticleTopological invariants and fibration structure of complete intersection...
AbstractWe investigate the mathematical properties of the class of Calabi-Yau four-folds recently found in ref. [1]. This class consists of 921,497 configuration matrices which correspond to manifolds...
View ArticleParabolic Refined Invariants and Macdonald Polynomials
AbstractA string theoretic derivation is given for the conjecture of Hausel, Letellier and Rodriguez-Villegas on the cohomology of character varieties with marked points. Their formula is identified...
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