Duality Symmetries of 4D Heterotic Strings

Abstract

Target space duality (T duality), which interchanges Kaluza--Klein and winding-mode excitations of the compactified heterotic string, is realized as a symmetry of a world-sheet action. Axion-dilaton duality (S duality), a conjectured nonperturbative SL(2,Z) symmetry of the same theory, plays an analogous role for five-branes. We describe a soliton spectrum possessing both duality symmetries and argue that the theory has an infinite number of dual string descriptions.

16 pages, NSF-ITP-93-64

References in corpus (7)

• Noncompact Symmetries in String Theory
• Supersymmetry as a Cosmic Censor
• Electric Magnetic Duality in String Theory
• Quantization of Dyon Charge and Electric-Magnetic Duality in String Theory
• Target Space Duality as a Symmetry of String Field Theory
• String and Fivebrane Solitons: Singular or Non-singular?
• Putting String/Fivebrane Duality to the Test

Cited by in corpus (152)

• Unity of Superstring Dualities
• The String Dilaton and a Least Coupling Principle
• Target Space Duality in String Theory
• A Strong Coupling Test of S-Duality
• Small Instantons in String Theory
• Branes Intersecting at Angles
• A Geometry for Non-Geometric String Backgrounds
• The eleven-dimensional supermembrane revisited
• Superstring Cosmology
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• Algebras, BPS States, and Strings
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• Four Dimensional String/String/String Triality
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• N=3 Warped Compactifications
• Second-Quantized Mirror Symmetry
• Perturbative Couplings of Vector Multiplets in $N=2$ Heterotic String Vacua
• Black Holes and Solitons in String Theory
• Partial breaking of global D=4 supersymmetry, constrained superfields, and 3-brane actions
• The Heterotic String is a Soliton
• Lectures on Superstring and M Theory Dualities
• Duality Symmetric Actions with Manifest Space-Time Symmetries
• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• Mass formulae and natural hierarchy in string effective supergravities
• On singularities of spherically symmetric backgrounds in string theory
• Strings as Solitons & Black Holes as Strings
• Strong/Weak Coupling Duality from the Dual String
• Strong-Weak Coupling Duality in Three Dimensional String Theory
• Dyonic Membranes
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Enhanced Gauge Symmetries in Superstring Theories
• Massive String States as Extreme Black Holes
• Dual String Pairs With N=1 And N=2 Supersymmetry In Four Dimensions
• String-String Duality in Ten Dimensions
• String Dynamics at Strong Coupling
• Black Holes, Qubits and Octonions
• Ehlers--Harrison--Type Transformations in Dilaton--Axion Gravity
• Dual Pairs of Type II String Compactification
• Large-Volume String Compactifications, Revisited
• E_{11} origin of Brane charges and U-duality multiplets
• stu Black Holes Unveiled
• N=4 gauged supergravity and a IIB orientifold with fluxes
• Solvable Lie Algebras in Type IIA, Type IIB and M Theories
• On the Geometry of Moduli Space of Vacua in N=2 Supersymmetric Yang-Mills Theory
• New D=4 gauged supergravities from N=4 orientifolds with fluxes
• Integrable Systems in Stringy Gravity
• E10 and SO(9,9) invariant supergravity
• T-duality and world-sheet supersymmetry
• Back Reaction and Graceful Exit in String Inflationary Cosmology
• E_{7(7)} Duality, BPS Black-Hole Evolution and Fixed Scalars
• Erice Lectures on Black Holes and Attractors
• Spontaneous N=2 --> N=1 local supersymmetry breaking with surviving local gauge group
• Matrix Dilaton-Axion for Heterotic String in Three Dimensions
• Non-perturbative Temperature Instabilities in N=4 Strings
• Bound States of Black Holes and Other $P$-Branes
• Extremal Black Holes as Bound States
• Space Time Interpretation of S-Duality and Supersymmetry Violations of T-Duality
• New Black Hole, String and Membrane Solutions of the Four-Dimensional Heterotic String
• Stationary BPS solutions to dilaton-axion gravity
• DUALITY SYMMETRY GROUP OF TWO DIMENSIONAL HETEROTIC STRING THEORY
• Chaotic Coupling Constants
• Eisenstein series and automorphic representations
• U-Invariants, Black-Hole Entropy and Fixed Scalars
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• BPS Spectra and Non--Perturbative Couplings in N=2,4 Supersymmetric String Theories
• U-Duality and Symplectic Formulation of Dilaton-Axion Gravity
• Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line
• Supersymmetric Black Holes in $N=8$ Supergravity
• Putting string/string duality to the test
• No-scale N=4 supergravity coupled to Yang-Mills: the scalar potential and super-Higgs effect
• All the supersymmetric configurations of N=4,d=4 supergravity
• Non-Abelian Strong-Weak Coupling Duality in (String-Derived) N=4 Supersymmetric Yang-Mills Theories
• 3-Form Induced Potentials, Dilaton Stabilization, and Running Moduli
• Heterotic strings in a uniform magnetic field
• Strings, Branes and Extra Dimensions
• Momentum Lattice for CHL String
• Classical Symmetries of Some Two-Dimensional Models Coupled to Gravity
• Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs
• Duality in String Theory
• Non-perturbative monodromies in N=2 heterotic string vacua
• On the Existence of States Saturating the Bogomol'nyi Bound in N=4 Supersymmetry
• S-Duality Constraints On Effective Potentials For Gaugino Condensation
• Ehlers Transformations and String Effective Action
• Duality and Supersymmetry Constraints on the Weak Gravity Conjecture
• Five Dimensional U-Duality, Black-Hole Entropy and Topological Invariants
• Self-Duality in Nonlinear Electromagnetism
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• Integrability of Supergravity Black Holes and New Tensor Classifiers of Regular and Nilpotent Orbits
• N=1 String Duality
• Symmetries of Heterotic String Theory
• Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes
• Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories
• Central Extension of Extended Supergravities in Diverse Dimensions
• Duality-invariant Quantum Field Theories of Charges and Monopoles
• Towards A Nonsingular Tachyonic Big Crunch
• Dynamics of Extreme Black Holes and Massive String States
• N=8 BPS Black Holes with 1/2 or 1/4 Supersymmetry and Solvable Lie Algebra Decompositions
• Warped Strings: Self-dual Flux and Contemporary Compactifications
• Algebraic Renormalization of $N=1$ Supersymmetric Gauge Theories
• Defect branes as Alice strings
• Duality Symmetric Quantization of Superstring
• Spin-four N=7 W-Supergravity: S-fold and Double Copy Construction
• Extremal Black Holes in Supergravity
• Dilatonic black holes in a S-duality model
• Kramer--Neugebauer Transformation for Einstein--Maxwell--Dilaton--Axion Theory
• Dipole Moments of Black Holes and String States
• A Note on T-duality in Heterotic String Theory
• Doubled strings, negative strings and null waves
• Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes
• U-Duality Symmetries from the Membrane Worldvolume
• BLACK HOLE MULTIPLETS AND SPONTANEOUS BREAKING OF LOCAL SUPERSYMMETRY
• BPS States in Superstrings with Spontaneously Broken SUSY
• Does String Theory Have a Duality Symmetry Relating Weak and Strong Coupling?
• Dualities in Five Dimensions and Charged String Solutions
• Worldvolume and target space anomalies in the D=10 super--fivebrane sigma--model
• Pseudo-Duality
• String Primer
• Old Dualities and New Anomalies
• Beta functions for the duality-invariant sigma model
• A brief guide to p-branes
• How to Find H-Monopoles in Brane Dynamics
• Recent Developments in String Theory: From Perturbative Dualities to M-Theory
• Heterotic-Type II duality and wrapping rules
• Israel--Wilson--Perjés Solutions in Heterotic String Theory
• On the Relation of Four-Dimensional N=2,4 -- Supersymmetric String Backgrounds to Integrable Models
• The supersymmetric black holes of N=8 supergravity
• Symmetries of Four-dimensional String Effective Action with Cosmological Constant
• N=1 Heterotic-Supergravity Duality and Joyce Manifolds
• Field Redefinitions in String Theory as a Solution Generating Technique
• Nonsupersymmetric String Solitons
• Duality, Central Charges and Entropy of Extremal BPS Black Holes
• Solitons, Black Holes and Duality in String Theory
• Astrophysical and cosmological considerations on a string dilaton of a least coupling
• Duality invariant string beta functions at two loops
• Black holes and thermodynamics of non-gravitational theories
• Attractor Flows in st^2 Black Holes
• 1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories
• BPS Solutions and New Phases of Finite-Temperature Strings
• Introduction to M Theory
• Gaugino Condensation with S-Duality and Field-Theoretical Threshold Corrections
• S-duality and Canonical Transformations in String Theory
• Search for Duality Symmetries in p-Brane Theories
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion
• Duality Invariant Superstring Actions
• BPS partition functions in N = 4 Yang-Mills theory on T^4
• Kaluza-Klein and H-Dyons in String Theory
• Hidden Finite Symmetries in String Theory and Duality of Dualities
• An Effective Supergravity for the Thermal Phases of N=4 Strings
• A Massive S-duality in 4 dimensions
• SL(2;R) Duality of the Noncommutative DBI Lagrangian