Conformal Aspects of Spinor-Vector Duality

Abstract

We present a detailed study of various aspects of Spinor-Vector duality in Heterotic string compactifications and expose its origin in terms of the internal conformal field theory. In particular, we illustrate the main features of the duality map by using simple toroidal orbifolds preserving N_4 = 1 and N_4 = 2 spacetime supersymmetries in four dimensions. We explain how the duality map arises in this context by turning on special values of the Wilson lines around the compact cycles of the manifold. We argue that in models with N_4 = 2 spacetime supersymmetry, the interpolation between the Spinor-Vector dual vacua can be continuously realized. We trace the origin of the Spinor-Vector duality map to the presence of underlying N = (2, 2) and N = (4, 4) SCFTs, and explicitly show that the induced spectral-flow in the twisted sectors is responsible for the observed duality. The isomorphism between current algebra representations gives rise to a number of chiral character identities, reminiscent of the recently-discovered MSDS symmetry.

49 pages

References in corpus (11)

• Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
• Spinor-Vector Duality in fermionic Z2XZ2 heterotic orbifold models
• From strings to the MSSM
• Classification of Heterotic Pati-Salam Models
• Spinor-Vector Duality in Heterotic SUSY Vacua
• Spinor-Vector Duality in N=2 Heterotic String Vacua
• Non-singular string cosmology in a 2d Hybrid model
• Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry
• Orbifold Symmetry Reductions of Massive Boson-Fermion Degeneracy
• Spinor-Vector Duality in Heterotic String Orbifolds
• Massive Boson-Fermion Degeneracy and the Early Structure of the Universe

Cited by in corpus (40)

• Universality of Gauge Thresholds in Non-Supersymmetric Heterotic Vacua
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Classification of Standard-like Heterotic-String Vacua
• Classification of Flipped SU(5) Heterotic-String Vacua
• The 750 GeV diphoton LHC excess and Extra Z's in Heterotic-String Derived Models
• Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• A Light Z' Heterotic-String Derived Model
• Extra $Z^{\prime }$s and $W^{\prime }$s in Heterotic--String Derived Models
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• Classification of Left-Right Symmetric Heterotic String Vacua
• Light Z' in Heterotic String Standard-like Models
• Spectral flow as a map between N=(2,0)-models
• String Phenomenology From a Worldsheet Perspective
• The Flipped SU(5) String Vacua Classification: A Variation Of The SO(10) Breaking Basis Vector
• Proton Stability, Gauge Coupling Unification and a Light $Z^{\prime }$ in Heterotic-string Models
• Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
• Doublet-Triplet Splitting in Fertile Left-Right Symmetric Heterotic String Vacua
• 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
• Universality of radiative corrections to gauge couplings for strings with spontaneously broken supersymmetry
• Constraint on Spinor-Vector Dualities in Six Dimensions
• Uncovering a Spinor-Vector Duality on a Resolved Orbifold
• Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
• Heterotic T-folds with a small number of neutral moduli
• Sterile Neutrinos in String Derived Models
• Taming Triangulation Dependence of T6/Z2xZ2 Resolutions
• Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
• Free Fermionic Constructions of Heterotic Strings
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• Precision studies for string derived $Z^{\prime }$ dynamics at the LHC
• Towards classification of SO(10) heterotic string vacua
• Discrete symmetries in the heterotic-string landscape
• Exotica and discreteness in the classification of string spectra
• Spinor-Vector Duality and the Swampland
• Towards machine learning in the classification of Z2xZ2 orbifold compactifications
• Spinor-Vector Duality and Mirror Symmetry
• String Phenomenology: Past, Present and Future Perspectives
• $Z^{\prime }$s and sterile neutrinos from heterotic string models: exploring $Z^{\prime }$ mass exclusion limits