Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1

Abstract

We show the existence of a supersymmetry breaking mechanism in string theory, where N=4 supersymmetry is broken spontaneously to N=2 and N=1 with moduli dependent gravitino masses. The spectrum of the spontaneously broken theory with lower supersymmetry is in one-to-one correspondence with the spectrum of the heterotic N=4 string. The mass splitting of the N=4 spectrum depends on the compactification moduli as well as the three R-symmetry charges. We also show that, in string theory, chiral theories can be obtained after spontaneous breaking of extended supersymmetry. This was impossible at the level of field theory. In the large moduli limit a restoration of the N=4 supersymmetry is obtained. As expected the graviphotons and some of the gauge bosons become massive in N=1 vacua. At some special points of the moduli space some of the N=4 states with non-zero winding numbers and with spin 0 and {1/2} become massless chiral superfields of the unbroken N=1 supersymmetry. Such vaccua have a dual type II description, in which there are magnetically charged states with spin 0 and {1/2} that become massless. The heterotic-type II duality suggests some novel non-perturbative transitions on the type II side. Such transitions do not seem to have a geometric interpretation, since they relate type II vaccua with symmetric worlsheet structure to assymetric ones. The heteroric interpretation of such a transition is an ordinary Higgsing of an SU(2) factor. In the case of N=4 --> N=2, the perturbative N=2 prepotential is determined by the perturbative N=4 BPS states. This observation let us to suggest a method which determines the exact non-perturbative prepotential of the effective N=2 supergravity using the shifted spectrum of the non-perturbative BPS states of the underlying N=4 theory.

36 pages, Latex. An important part is added. We point out that there are string theory groundstates with spontaneously broken extended supersymmetry and chiral spectrum

Cited by in corpus (144)

• On tadpoles and vacuum redefinitions in String Theory
• On Supersymmetry Breaking in String Theory and its Realization in Brane Worlds
• T-duality and closed string non-commutative (doubled) geometry
• Gauge couplings in four-dimensional Type I string orbifolds
• Supersymmetry breaking, open strings and M-theory
• Towards a Non-Supersymmetric String Phenomenology
• Partial breaking of supersymmetry, open strings and M-theory
• Theory and Phenomenology of Type I strings and M-theory
• Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
• Anomalies, Fayet-Iliopoulos terms and the consistency of orbifold field theories
• Superstrings on NS5 backgrounds, deformed AdS3 and holography
• RR photons
• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
• Fluxes and gaugings: N = 1 effective superpotentials
• Geometric Couplings and Brane Supersymmetry Breaking
• Charged and Uncharged D-branes in various String Theories
• Non-Supersymmetric Type I Strings with Zero Vacuum Energy
• Generalized symmetry breaking on orbifolds
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• Exophobic Quasi-Realistic Heterotic String Vacua
• Gauge Unification in Highly Anisotropic String Compactifications
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• Classification of Heterotic Pati-Salam Models
• D-branes in Standard Model building, Gravity and Cosmology
• Magnetized Four-Dimensional $Z_2\times Z_2$ Orientifolds
• Non-perturbative Temperature Instabilities in N=4 Strings
• Internal magnetic fields and supersymmetry in orientifolds
• On Classical Stability with Broken Supersymmetry
• The Scherk-Schwarz mechanism as a flux compactification with internal torsion
• Super no-scale models in string theory
• Orbifolds as Melvin Geometry
• Classification of the N=2, Z2 X Z2-symmetric type II orbifolds and their type II asymmetric duals
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Open Descendants of Z_2\times Z_2 Freely-Acting Orbifolds
• Spin-field Interaction Effects and Loop Dynamics in AdS/CFT Duality
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes
• An Alternative for Moduli Stabilisation
• Time and space dependent backgrounds from nonsupersymmetric strings
• On exponential suppression of the cosmological constant in non-SUSY strings at two loops and beyond
• String instantons, fluxes and moduli stabilization
• Open string models with Scherk-Schwarz SUSY breaking and localized anomalies
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• D-branes in String theory Melvin backgrounds
• Classification of Standard-like Heterotic-String Vacua
• Classification of Flipped SU(5) Heterotic-String Vacua
• Thermal/quantum effects and induced superstring cosmologies
• Anomalous U(1)s masses in non-supersymmetric open string vacua
• The 750 GeV diphoton LHC excess and Extra Z's in Heterotic-String Derived Models
• Induced superstring cosmologies and moduli stabilization
• Asymmetric Orientifolds, Brane Supersymmetry Breaking and Non-BPS Branes
• A Naturally Small Cosmological Constant on the Brane?
• Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry
• Large volume susy breaking with a solution to the decompactification problem
• Heterotic String Theory with Background Fluxes
• String Derived Exophobic SU(6)xSU(2) GUTs
• The open story of the magnetic fluxes
• Orbifold Symmetry Reductions of Massive Boson-Fermion Degeneracy
• The minimal N=4 no-scale model from generalized dimensional reduction
• Rankin-Selberg methods for closed strings on orbifolds
• Non-perturbative triality in heterotic and type II N=2 strings
• Quantum no-scale regimes and moduli dynamics
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• On the weak gravity conjecture in string theory with broken supersymmetry
• Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry
• D-brane Models with Non-Linear Supersymmetry
• On the Super Higgs Effect in Extended Supergravity
• N=2 -> 0 super no-scale models and moduli quantum stability
• Massive Boson-Fermion Degeneracy and the Early Structure of the Universe
• Gaugino Condensates and Fluxes in N = 1 Effective Superpotentials
• AdS4 flux vacua in type II superstrings and their domain-wall solutions
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• On interpolations from SUSY to non-SUSY strings and their properties
• String vacua with flux from freely-acting obifolds
• Fermion Mass Textures in an M-Inspired Flipped SU(5) Model Derived from String
• Low-Energy Brane-World Effective Actions and Partial Supersymmetry Breaking
• Threshold corrections, generalised prepotentials and Eichler integrals
• Heterotic free fermionic and symmetric toroidal orbifold models
• Extra $Z^{\prime }$s and $W^{\prime }$s in Heterotic--String Derived Models
• A Wave-function for Stringy Universes
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• Classification of Left-Right Symmetric Heterotic String Vacua
• Grand Unification in the Projective Plane
• Magic N=2 supergravities from hyper-free superstrings
• Four-Dimensional N=2 Superstring Constructions and their (Non-) Perturbative Duality Connections
• Light Z' in Heterotic String Standard-like Models
• On the quantum stability of IIB orbifolds and orientifolds with Scherk-Schwarz SUSY breaking
• Mass scales, supersymmetry breaking and open strings
• Non-Perturbative Gravitational Corrections in a Class of N=2 String Duals
• String Phenomenology From a Worldsheet Perspective
• Spontaneous N=2 -> N=1 Supergravity Breaking in Three Dimensions
• Superpotentials in IIA compactifications with general fluxes
• Non-tachyonic Scherk-Schwarz compactifications, cosmology and moduli stabilization
• Type $\bar{0}$ Heterotic String Orbifolds
• BPS States in N=3 Superstrings
• Non-perturbative transitions among intersecting-brane vacua
• Inflationary de Sitter solutions from superstrings
• Wrapped Branes and Supersymmetry
• Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic String Vacua
• Potentials and superpotentials in the effective N=1 supergravities from higher dimensions
• A Dynamical Mechanism for Large Volumes with Consistent Couplings
• Satisfiability Modulo Theories and Chiral Heterotic String Vacua with Positive Cosmological Constant
• The LHC di-photon excess and Gauge Coupling Unification in Extra $Z^{\prime }$ Heterotic-String Derived Models
• Orientifolds of String Theory Melvin backgrounds
• A Class of Non-Supersymmetric Open String Vacua
• Open-string models with broken supersymmetry
• Gauge symmetry breaking in orbifold model building
• Type 0 ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds and Misaligned Supersymmetry
• Non-Supersymmetric Magic Theories and Ehlers Truncations
• IIA moduli stabilization with badly broken supersymmetry
• Nonlinear Realizations of Supersymmetry and Other Symmetries
• $\mathcal{N}=2$ Supersymmetry Partial Breaking and Tadpole Anomaly
• Thesis: Orientifolds, Anomalies and the Standard Model
• Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
• Partial Supergravity Breaking and the Effective Action of Consistent Truncations
• Magnetic Fluxes, NS-NS $B$ Field and Shifts in Four-Dimensional Orientifolds
• Sterile Neutrinos in String Derived Models
• Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
• Partial Supersymmetry Breaking from Five Dimensions
• Classification of the Chiral Z_2 x Z_2 Heterotic String Models
• Hagedorn-like transition at high supersymmetry breaking scale
• Self-Dual Tensors and Partial Supersymmetry Breaking in Five Dimensions
• BPS Solutions and New Phases of Finite-Temperature Strings
• Exotica and discreteness in the classification of string spectra
• 1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories
• Refined Topological Amplitudes from the $\Omega$-Background in String Theory
• Supersymmetric Large Extra Dimensions and the Cosmological Constant Problem
• Gravitino condensation, supersymmetry breaking and inflation
• Setting the Stage for a Non-Supersymmetric UV-Complete String Phenomenology
• Gauge unification, non-local breaking, open strings
• Towards machine learning in the classification of Z2xZ2 orbifold compactifications
• An Effective Supergravity for the Thermal Phases of N=4 Strings
• CHL Compactifications Revisited
• Type IIB orbifolds with D5-branes and their string duals
• Non-perturbative corrections in N=2 strings
• String Phenomenology: Past, Present and Future Perspectives
• Aspetti non perturbativi della Teoria delle Stringhe
• Classification of Pati--Salam Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds