Results 1  10
of
43
STRINGVACUA, A Mathematica Package for Studying Vacuum
 Configurations in String Phenomenology”, [arXiv:0801.1508
"... We give a simple tutorial introduction to the Mathematica package STRINGVACUA, which is designed to find vacua of stringderived or inspired fourdimensional N = 1 supergravities. The package uses powerful algebrogeometric methods, as implemented in the free computer algebra system Singular, but r ..."
Abstract

Cited by 40 (18 self)
 Add to MetaCart
(Show Context)
We give a simple tutorial introduction to the Mathematica package STRINGVACUA, which is designed to find vacua of stringderived or inspired fourdimensional N = 1 supergravities. The package uses powerful algebrogeometric methods, as implemented in the free computer algebra system Singular, but requires no knowledge of the mathematics upon which it is based. A series of easytouse Mathematica modules are provided which can be used both in string theory and in more general applications requiring fast polynomial computations. The use of these modules is
More Dual Fluxes and Moduli Fixing
, 2006
"... We generalize the recent proposal that invariance under Tduality leads to additional nongeometric fluxes required so that superpotentials in type IIA and type IIB orientifolds match. We show that invariance under type IIB Sduality requires the introduction of a new set of fluxes leading to further ..."
Abstract

Cited by 37 (3 self)
 Add to MetaCart
We generalize the recent proposal that invariance under Tduality leads to additional nongeometric fluxes required so that superpotentials in type IIA and type IIB orientifolds match. We show that invariance under type IIB Sduality requires the introduction of a new set of fluxes leading to further superpotential terms. We find new classes of N=1 supersymmetric Minkowski vacua based on type IIB toroidal orientifolds in which not only dilaton and complex moduli but also Kähler moduli are fixed. The chains of dualities relating type II orientifolds to heterotic and Mtheory compactifications suggests the existence of yet further flux degrees of freedom. Restricting to a particular type IIA/IIB or heterotic compactification only some of these degrees of freedom have a simple perturbative and/or geometric interpretation.
Towards Minkowski vacua in type II string compactifications
, 2007
"... We study the vacuum structure of compactifications of type II string theories on orientifolds with SU(3) × SU(3) structure. We argue that generalised geometry enables us to treat these nongeometric compactifications using a supergravity analysis in a way very similar to geometric compactifications ..."
Abstract

Cited by 29 (2 self)
 Add to MetaCart
We study the vacuum structure of compactifications of type II string theories on orientifolds with SU(3) × SU(3) structure. We argue that generalised geometry enables us to treat these nongeometric compactifications using a supergravity analysis in a way very similar to geometric compactifications. We find supersymmetric Minkowski vacua with all the moduli stabilised at weak string coupling and all the tadpole conditions satisfied. Generically the value of the moduli fields in the vacuum is parametrically controlled and can be taken to arbitrarily large values.
A New Method for Finding Vacua in String Phenomenology
, 2007
"... One of the central problems of stringphenomenology is to find stable vacua in the four dimensional effective theories which result from compactification. We present an algorithmic method to find all of the vacua of any given stringphenomenological system in a huge class. In particular, this paper ..."
Abstract

Cited by 15 (10 self)
 Add to MetaCart
One of the central problems of stringphenomenology is to find stable vacua in the four dimensional effective theories which result from compactification. We present an algorithmic method to find all of the vacua of any given stringphenomenological system in a huge class. In particular, this paper reviews and then extends hepth/0606122 to include various nonperturbative effects. These include gaugino condensation and instantonic contributions to
Heterotictype IIA duality with fluxes
"... In this paper we study a possible nonperturbative dual of the heterotic string compactified on K3 × T 2 in the presence of background fluxes. We show that type IIA string theory compactified on manifolds with SU(3) structure can account for a subset of the possible heterotic fluxes. This extends ou ..."
Abstract

Cited by 14 (2 self)
 Add to MetaCart
(Show Context)
In this paper we study a possible nonperturbative dual of the heterotic string compactified on K3 × T 2 in the presence of background fluxes. We show that type IIA string theory compactified on manifolds with SU(3) structure can account for a subset of the possible heterotic fluxes. This extends our previous analysis to a case of a nonperturbative duality with fluxes.
Numerical algebraic geometry: A new perspective on string and gauge theories
, 2012
"... ..."
(Show Context)
Algorithmic algebraic geometry and flux vacua
 57 THE GAP GROUP, GAP – GROUPS, ALGORITHMS, AND PROGRAMMING, VERSION 4.4
, 2006
"... ..."
Heterotic standard model moduli
 JHEP
"... In previous papers, we introduced a heterotic standard model and discussed its basic properties. The CalabiYau threefold has, generically, three Kähler and three complex structure moduli. The observable sector of this vacuum has the spectrum of the MSSM with one additional pair of HiggsHiggs conju ..."
Abstract

Cited by 11 (9 self)
 Add to MetaCart
In previous papers, we introduced a heterotic standard model and discussed its basic properties. The CalabiYau threefold has, generically, three Kähler and three complex structure moduli. The observable sector of this vacuum has the spectrum of the MSSM with one additional pair of HiggsHiggs conjugate fields. The hidden sector has no charged matter in the strongly coupled string and only minimal matter for weak coupling. Additionally, the spectrum of both sectors will contain vector bundle moduli. The exact number of such moduli was conjectured to be small, but was not explicitly computed. In this paper, we rectify this and present a formalism for computing the number of vector bundle moduli. Using this formalism, the number of moduli in both the observable and strongly coupled
Towards Realizing Dynamical SUSY Breaking in Heterotic Model Building
, 2006
"... We study a new mechanism to dynamically break supersymmetry in the E8 ×E8 heterotic string. As discussed recently in the literature, a longlived, metastable nonsupersymmetric vacuum can be achieved in an N = 1 SQCD whose spectrum contains a sufficient number of light fundamental flavors. In this ..."
Abstract

Cited by 10 (0 self)
 Add to MetaCart
We study a new mechanism to dynamically break supersymmetry in the E8 ×E8 heterotic string. As discussed recently in the literature, a longlived, metastable nonsupersymmetric vacuum can be achieved in an N = 1 SQCD whose spectrum contains a sufficient number of light fundamental flavors. In this paper, we present, within the context of the hidden sector of the weakly and strongly coupled heterotic string, a slopestable, holomorphic vector bundle on a CalabiYau threefold for which all matter fields are in the fundamental representation and are massive at generic points in moduli space. It is shown, however, that near certain subvarieties in the moduli space a sufficient number of light matter fields can occur, providing an explicit heterotic model realizing dynamical SUSY breaking. This is demonstrated for the lowenergy gauge group Spin(10). However, our methods immediately generalize to Spin(Nc), SU(Nc), and Sp(Nc), for a wide range of color index Nc. Moduli stabilization in vacua with a positive cosmological constant is
Perturbative AntiBrane Potentials in Heterotic Mtheory
, 2007
"... We derive the perturbative fourdimensional effective theory describing heterotic Mtheory with branes and antibranes in the bulk space. The backreaction of both the branes and antibranes is explicitly included. To first order in the heterotic ǫS expansion, we find that the forces on branes and a ..."
Abstract

Cited by 10 (8 self)
 Add to MetaCart
We derive the perturbative fourdimensional effective theory describing heterotic Mtheory with branes and antibranes in the bulk space. The backreaction of both the branes and antibranes is explicitly included. To first order in the heterotic ǫS expansion, we find that the forces on branes and antibranes vanish and that the KKLT procedure of simply adding to the supersymmetric theory the probe approximation to the energy density of the antibrane reproduces the correct potential. However, there are additional nonsupersymmetric corrections to the gaugekinetic functions and matter terms. The new correction to the gauge kinetic functions is important in a discussion of moduli stabilization. At second order in the ǫS expansion, we find that the forces on the branes and antibranes become nonvanishing. These forces are not precisely in the naive form that one may have anticipated and, being second order in the small parameter ǫS, they are relatively weak. This suggests that moduli stabilization in heterotic models with antibranes is achievable.