Maximally Supersymmetric String Theories in D<10

Abstract

The existence of maximally supersymmetric solutions to heterotic string theory that are not toroidal compactifications of the ten-dimensional superstring is established. We construct an exact fermionic realization of an N=1 supersymmetric string theory in D=8 with non-simply-laced gauge group Sp(20). Toroidal compactification to six and four dimensions gives maximally extended supersymmetric theories with reduced rank (4,12) and (6,14) respectively.

LaTex, 10 pages. Additional details of the solutions described here are available on the World-Wide Web at http://www-theory.fnal.gov/superstrings/superstrings.html

References in corpus (6)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Duality Symmetric Actions
• STRING STRING DUALITY CONJECTURE IN SIX DIMENSIONS AND CHARGED SOLITONIC STRINGS
• String Consistency for Unified Model Building
• Reducing $S$- duality to $T$- duality

Cited by in corpus (141)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• U-duality and M-Theory
• K3 Surfaces and String Duality
• Some Relationships Between Dualities in String Theory
• Precision Counting of Small Black Holes
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Strings on Orientifolds
• Entropy Function for Heterotic Black Holes
• Flux Compactifications on Calabi-Yau Threefolds
• Moduli Space of CHL Strings
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Black hole partition functions and duality
• Dyon Spectrum in CHL Models
• Type IIA-Heterotic Duals With Maximal Supersymmetry
• Aspects of N=1 Type I-Heterotic Duality in Four Dimensions
• Cobordism Conjecture, Anomalies, and the String Lamppost Principle
• Exact and Asymptotic Degeneracies of Small Black Holes
• Product Representation of Dyon Partition Function in CHL Models
• Dying Dyons Don't Count
• Type IIB Orientifolds, F-theory, Type I Strings on Orbifolds and Type I - Heterotic Duality
• Ghost D-branes
• Three Generations in the Fermionic Construction
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
• Realizing Higher-Level Gauge Symmetries in String Theory: New Embeddings for String GUTs
• On Type IIB Vacua With Varying Coupling Constant
• String Universality and Non-Simply-Connected Gauge Groups in 8d
• Black Holes, Elementary Strings and Holomorphic Anomaly
• String Threshold corrections in models with spontaneously broken supersymmetry
• BPS Black Holes
• Spectrum of CHL Dyons from Genus-Two Partition Function
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• Four Dimensional $\mathcal{N}=4$ SYM and the Swampland
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• The frozen phase of F-theory
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Exploring the landscape of heterotic strings on T^d
• Orientifold planes, affine algebras and magnetic monopoles
• The Moduli Space and M(atrix) Theory of 9d N=1 Backgrounds of M/String Theory
• A Note on the Geometry of CHL Heterotic Strings
• Discrete torsion in non-geometric orbifolds and their open-string descendants
• Discrete Information from CHL Black Holes
• Fine Tuning, Sequestering, and the Swampland
• Exploring the landscape of CHL strings on T^d
• Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• A String Model with $SU(4)\times O(4)\times [Sp(4){]}_{Hidden}$ Gauge Symmetry
• Fricke S-duality in CHL models
• Properties of String Theory on Kaluza-Klein Melvin Background
• M-Theory on (K3 X S^1)/Z_2
• An R^4 non-renormalisation theorem in N=4 supergravity
• Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n
• Discrete Torsion and Gerbes II
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• A Search for Non-Perturbative Dualities of Local $N=2$ Yang--Mills Theories from Calabi--Yau Threefolds
• Compactification, Geometry and Duality: N=2
• D-strings in unconventional type I vacuum configurations
• Global anomalies in 8d supergravity
• Gravitational Couplings, Orientifolds and M-Planes
• Comments on Orientifolds without Vector Structure
• On stable higher spin states in Heterotic String Theories
• Fermion Mass Textures in an M-Inspired Flipped SU(5) Model Derived from String
• Monstrous String-String Duality
• Generalized Kac-Moody Algebras from CHL dyons
• The mixed black hole partition function for the STU model
• Semi-Flatland
• Discrete gauge symmetries from (closed string) tachyon condensation
• Symmetry Enhancements in 7d Heterotic Strings
• Melvin Background in Heterotic Theories
• Orientifold and F-theory Duals of CHL Strings
• No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
• Protected couplings and BPS dyons in half-maximal supersymmetric string vacua
• Negative discriminant states in N=4 supersymmetric string theories
• BKM Lie superalgebras from counting twisted CHL dyons -- II
• Non-geometric Calabi-Yau Backgrounds and K3 automorphisms
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• Orientifolds and twisted boundary conditions
• BPS black holes, the Hesse potential, and the topological string
• Little String Theories in Heterotic Backgrounds
• Geometry of orientifold vacua and supersymmetry breaking
• Discrete moduli for Type I compactifications
• BPS Algebras, Genus Zero, and the Heterotic Monster
• Supersymmetric black holes in string theory
• M-Theory Through the Looking Glass: Tachyon Condensation in the E_8 Heterotic String
• Freezing of Gauge Symmetries in the Heterotic String on $T^4$
• K3 String Theory, Lattices and Moonshine
• Heterotic string on the CHL orbifold of K3
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Bordism for the 2-group symmetries of the heterotic and CHL strings
• Pair Production of small Black Holes in Heterotic String Theories
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• Calabi-Yau Duals for CHL Strings
• BPS Algebras in 2D String Theory
• Eta Products, BPS States and K3 Surfaces
• Dyon degeneracies from Mathieu moonshine
• Dualities in CHL-Models
• A New String in Ten Dimensions?
• Toric Geometry and String Theory
• N=4 BPS black holes and octonionic twistors
• Confinement and the Short Type I' Flux Tube
• Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
• Twisting E8 Five-Branes
• The Spectra of Supersymmetric States in String Theory
• Flat equivariant gerbes: holonomies and dualities
• Automorphic Black Holes as Probes of Extra Dimensions
• Gauge Spinors and String Duality
• On Mathieu moonshine and Gromov-Witten invariants
• Twisted elliptic genus for K3 and Borcherds product
• Lie Groups, Calabi-Yau Threefolds, and F-Theory
• Black Hole Hair Removal For N=4 CHL Models
• Gravitational couplings of orientifold planes
• A Lightning Introduction to String Theory
• Positivity of discrete information for CHL black holes
• TASI Lectures on Compatification and Duality
• Refinement and modularity of immortal dyons
• Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models
• Orbifolds of M-Theory and Type II String Theories in Two Dimensions
• Anomaly Cancelations in Orientifolds with Quantized B Flux
• Mock Modularity In CHL Models
• Exact Half-BPS Black Hole Entropies in CHL Models from Rademacher Series
• A Geometric Derivation of the Dyon Wall-Crossing Group
• Affine Kac-Moody algebras, CHL strings and the classification of tops
• On the Gauge Group Topology of 8d CHL Vacua
• Automorphic Black Hole Entropy
• On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
• Consistency of eight-dimensional supergravities: Anomalies, Lattices and Counterterms
• On the duality of F-theory and the CHL string in seven dimensions
• Moduli spaces of non-geometric type II/heterotic dual pairs
• A non-commuting twist in the partition function
• Black Hole Probes of Automorphic Space
• Euclidean Time Formulation for the Superstring Ensembles: Perturbative Canonical Ensemble with Neveu-Schwarz B Field Backgrounds
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Toroidal $\&$ orbifold compactifications at large D and D-duality
• Heterotic Type I Strings at High Temperature
• Finite Temperature Closed Superstring Theory
• Type IIB orbifolds with D5-branes and their string duals
• Instanton corrections to the effective action of the CHL string and its type I dual
• CHL Compactifications Revisited
• Mock Modularity Of Twisted Index In CHL Models
• Emergent spacetime and black hole probes from automorphic forms