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For a calculation of divergent fermion string amplitudes a regularization procedure invariant under the supermodular group is constructed. By this procedure superstring amplitudes of an arbitrary genus are calculated using both partition…

High Energy Physics - Theory · Physics 2007-05-23 G. S. Danilov

We give an overview of moduli stabilization in compactifications of string theory. We summarize current methods for construction and analysis of vacua with stabilized moduli, and we describe applications to cosmology and particle physics.…

High Energy Physics - Theory · Physics 2023-11-01 Liam McAllister , Fernando Quevedo

We discuss how localized twisted moduli in type I string theory can provide a string realization of brane world supersymmetry breaking models.

High Energy Physics - Phenomenology · Physics 2017-08-23 S. F. King , D. A. J. Rayner

The decomposition of the polynomials on the quaternionic unit sphere in $\Hd$ into irreducible modules under the action of the quaternionic unitary (symplectic) group and quaternionic scalar multiplication has been studied by several…

Representation Theory · Mathematics 2024-05-22 Mozhgan Mohammadpour , Shayne Waldron

Superstring theory, models with extra dimensions and other SUSY models generically predict that the coupling constants are in fact vacuum expectation values of fields like the dilaton, moduli etc. Assuming some of these fields are light…

Astrophysics · Physics 2007-05-23 Lev Kofman

We study moduli dependent threshold corrections to gravitational couplings in the case of the heterotic string compactified on a symmetric orbifold, for untwisted moduli, extending previous analysis on gauge couplings. Like in the gauge…

High Energy Physics - Theory · Physics 2010-11-01 I. Antoniadis , E. Gava , K. S. Narain

We discuss the prospect of studying physics at short distances, such as Planck length or GUT scale, using supersymmetry as a probe. Supersymmetry breaking parameters contain information on all physics below the scale where they are induced.…

High Energy Physics - Phenomenology · Physics 2016-11-03 Hitoshi Murayama

Motivated by the relation between (twisted) K3 surfaces and special cubic fourfolds, we construct moduli spaces of polarized twisted K3 surfaces of any fixed degree and order. We do this by mimicking the construction of the moduli space of…

Algebraic Geometry · Mathematics 2019-10-09 Emma Brakkee

The target space theory of the N=(2,1) heterotic string may be interpreted as a theory of gravity coupled to matter in either $1+1$ or $2+1$ dimensions. Among the target space theories in $1+1$ dimensions are the bosonic, type II, and…

High Energy Physics - Theory · Physics 2009-10-30 D. Kutasov , E. Martinec

We discuss general properties of classical string field theories with symmetric vertices in the context of deformation theory. For a given conformal background there are many string field theories corresponding to different decomposition of…

High Energy Physics - Theory · Physics 2015-06-26 Hiroshige Kajiura

Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge symmetry; a conformal field theory singularity…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

The structure of stringy quantum corrections to four-dimensional effective theories is particularly interesting for string phenomenology and attempts to stabilize moduli. We consider the heterotic string compactified on a Calabi-Yau space.…

High Energy Physics - Theory · Physics 2014-12-19 Lilia Anguelova , Callum Quigley , Savdeep Sethi

We construct (in significant generality) moduli spaces representing the functor of morphisms from a scheme into a solvable algebraic group.

Algebraic Geometry · Mathematics 2023-11-13 Zev Rosengarten

We describe a class of supersymmetric unified models with the following properties: i) the full breaking of the gauge group is achieved by Higgs fields in the fundamental representation; ii) the correct unification of the strong and…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Barbieri , G. Dvali , A. Strumia

Perturbative superstring theory is revisited, with the goal of giving a simpler and more direct demonstration that multi-loop amplitudes are gauge-invariant (apart from known anomalies), satisfy space-time supersymmetry when expected, and…

High Energy Physics - Theory · Physics 2023-11-07 Edward Witten

We discuss the spontaneous supersymetry breaking within the low-energy effective supergravity action of four-dimensional superstrings. In particular, we emphasize the non-universality of the soft supersymmetry breaking parameters, the…

High Energy Physics - Theory · Physics 2016-09-06 G. Lopes Cardoso , D. Lust , Thomas Mohaupt

We study general properties of the classical solutions in non-polynomial closed string field theory and their relationship with two dimensional conformal field theories. In particular we discuss how different conformal field theories which…

High Energy Physics - Theory · Physics 2007-05-23 Ashoke Sen

We supersymmetrize a class of moduli dependent potentials living on branes with the help of additional bulk terms in 5d N=2 supergravity. The space of Poincare invariant vacuum solutions includes the Randall-Sundrum solution and the…

High Energy Physics - Theory · Physics 2009-10-31 Adam Falkowski , Zygmunt Lalak , Stefan Pokorski

The holomorphy of the superpotential along with symmetries gives very strong constraints on any stringy non-perturbative effects. This observation suggests an approach to string phenomenology. (Presented at ``Strings 95'', March 1995.

High Energy Physics - Theory · Physics 2007-05-23 Michael Dine

We construct analogs of the embedding of orthogonal and symplectic groups into unitary groups in the context of fusion categories. At least some of the resulting module categories also appear in boundary conformal field theory. We determine…

Operator Algebras · Mathematics 2011-08-09 Hans Wenzl
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