Small $E_8$ Instantons and Tensionless Non-critical Strings

Abstract

T-duality is used to extract information on an instanton of zero size in the $E_8\times E_8$ heterotic string. We discuss the possibility of the appearance of a tensionless anti-self-dual non-critical string through an implementation of the mechanism suggested by Strominger of two coincident 5-branes. It is argued that when an instanton shrinks to zero size a tensionless non-critical string appears at the core of the instanton. It is further conjectured that appearance of tensionless strings in the spectrum leads to new phase transitions in six dimensions in much the same way as massless particles do in four dimensions.

22 pages, Latex, two figures added, reference added, We also added a discussion on new phase transitions in six dimensions. The appearance of tensionless strings in the spectrum leads to new phase transitions in six dimensions similarly to the appearance of massless particles at special points in the moduli space in four dimensional theories

References in corpus (8)

• Dirichlet-Branes and Ramond-Ramond Charges
• Evidence for Heterotic - Type I String Duality
• Some Comments On String Dynamics
• 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
• Evidence for Heterotic/Heterotic Duality
• N=2 Heterotic Superstring and its Dual Theory in Five Dimensions
• Supersymmetry and Dual String Solitons
• Boundaries in M-Theory

Cited by in corpus (239)

• From Big Crunch to Big Bang
• Geometric Singularities and Enhanced Gauge Symmetries
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• World-Volume Action of the M Theory Five-Brane
• Atomic Classification of 6D SCFTs
• 6d Conformal Matter
• S-duality in N=2 supersymmetric gauge theories
• Tensionless Strings and the Weak Gravity Conjecture
• Geometric Constructions of Nongeometric String Theories
• Branes and Six Dimensional Supersymmetric Theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Non-trivial Fixed Points of The Renormalization Group in Six Dimensions
• Branes at Orbifolds versus Hanany Witten in Six Dimensions
• M-Strings
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• Anomaly polynomial of general 6d SCFTs
• Notes on Theories with 16 Supercharges
• BPS States of Exceptional Non-Critical Strings
• On the Defect Group of a 6D SCFT
• Deconstructing (2,0) and Little String Theories
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Refined stable pair invariants for E-, M- and [p,q]-strings
• M-Theory Inflation from Multi M5-Brane Dynamics
• Anomaly Equations and Intersection Theory
• Mirror Symmetry, N=1 Superpotentials and Tensionless Strings on Calabi-Yau Four-Folds
• E-Strings and N=4 Topological Yang-Mills Theories
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• On orbifolds of M-Strings
• Non-Lagrangian Theories from Brane Junctions
• Top Down Approach to 6D SCFTs
• Isocurvature perturbations in the Ekpyrotic universe
• Strings of Minimal 6d SCFTs
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Gluon Scattering in AdS from CFT
• Elliptic Genus of E-strings
• Fiber-Base Duality and Global Symmetry Enhancement
• Energy Transfer in Multi Field Inflation and Cosmological Perturbations
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• A new 5d description of 6d D-type minimal conformal matter
• Anomaly polynomial of E-string theories
• Quiver Subtractions
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• E-String Theory on Riemann Surfaces
• Non-Perturbative Properties of Heterotic String Vacua Compactified on $K3\times T^2$
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• Supersymmetric Casimir Energy and the Anomaly Polynomial
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Tao Probing the End of the World
• Instabilities in heterotic M-theory induced by open membrane instantons
• Hilbert Series for Moduli Spaces of Two Instantons
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• The group theory of oxidation II: Cosets of non-split groups
• A Picture of D-branes at Strong Coupling
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Discrete Gauging in Six Dimensions
• Toroidal Compactification of Heterotic 6D Non-Critical Strings Down to Four Dimensions
• Chirality Changing Phase Transitions in 4d String Vacua
• Quantization of anomaly coefficients in 6D $\mathcal{N}=(1,0)$ supergravity
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• Invariants for minimal conformal supergravity in six dimensions
• Non-Higgsable clusters for 4D F-theory models
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• Non-Perturbative Heterotic D=6,4 Orbifold Vacua
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• E + E $\to$ H
• Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
• 6d SCFTs and U(1) Flavour Symmetries
• Chiral 2d Theories from N=4 SYM with Varying Coupling
• AdS${}_7$/CFT${}_6$ with orientifolds
• World-volume Effective Actions of Exotic Five-branes
• Anomaly of the Electromagnetic Duality of Maxwell Theory
• A Supergravity Dual of a (1,0) Field Theory in Six Dimensions
• String production at the level of effective field theory
• Five-Brane Superpotentials and Heterotic/F-theory Duality
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves
• S-fold magnetic quivers
• Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity
• 4D Gauge Theories with Conformal Matter
• Seiberg-Witten Curve for the E-String Theory
• Multiple Realisations of N=1 Vacua in Six Dimensions
• F Theory Orientifolds, M Theory Orientifolds, and Twisted Strings
• Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
• Anomaly matching on the Higgs branch
• Critical Points and Phase Transitions in 5D Compactifications of M-Theory
• M String, Monopole String and Modular Forms
• Conformal anomaly c-coefficients of superconformal 6d theories
• Bootstrapping BPS spectra of 5d/6d field theories
• Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
• Triality in Little String Theories
• General Prescription for Global U(1)'s in 6D SCFTs
• Notes on Supersymmetric Gauge Theories in Five and Six Dimensions
• AdS5 compactifications with punctures in massive IIA supergravity
• Blowup Equations for Refined Topological Strings
• Small Instantons and Weak Scale String Theory
• Black Holes and Flop Transitions in M-Theory on Calabi-Yau Threefolds
• Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT
• On The Universality Class Of Little String Theories
• Physical Interpretation Of Certain Strong Coupling Singularities
• Five-Branes in Heterotic Brane-World Theories
• Duality in String Theory
• Affine Lie Algebras, String Junctions and 7-Branes
• On the global symmetries of 6D superconformal field theories
• Moving Five-Branes in Low-Energy Heterotic M-Theory
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• Open Supermembranes Coupled to M-Theory Five-Branes
• Flowing to four dimensions
• Gauge Five Brane Moduli In Four-Dimensional Heterotic Models
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• The Threebrane Soliton of the M-Fivebrane
• Singularities, Gauge Dynamics, and Nonperturbative Superpotentials in String Theory
• On The Warped Heterotic Axion
• 4d $S$-duality wall and $SL(2,\mathbb{Z})$ relations
• On the Complementarity of F-theory, Orientifolds, and Heterotic Strings
• A Test Of The Chiral E8 Current Algebra On A 6D Non-Critical String
• Open M5-branes
• Twisted Cohomotopy implies twisted String structure on M5-branes
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Five-Brane Dynamics and Inflation in Heterotic M-Theory
• Back to Heterotic Strings on ALE Spaces: Part I -- Instantons, 2-groups and T-duality
• Effective descriptions of branes on non-geometric tori
• Non-Simply-Connected Symmetries in 6D SCFTs
• Baryogenesis by Brane-Collision
• On Tensionless Strings in $3+1$ Dimensions
• Magnetic quivers and negatively charged branes
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Exotic matter on singular divisors in F-theory
• Thermal Monopoles
• On the Elliptic Genus of Three E-strings and Heterotic Strings
• Probing 7-branes on Orbifolds
• F-theory and Unpaired Tensors in 6D SCFTs and LSTs
• Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
• Topological string amplitudes for the local half K3 surface
• Kinky Brane Worlds
• Correlators of the Global Symmetry Currents of 4D and 6D Superconformal Theories
• Matrix Description of (1,0) Theories in Six Dimensions
• Green-Schwarz Automorphisms and 6D SCFTs
• Matter in transition
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Heterotic-Type IIA Duality and Degenerations of K3 Surfaces
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Double-Scaling Limit of Heterotic Bundles and Dynamical Deformation in CFT
• Anomaly inflow and $p$-form gauge theories
• The Higgs branch of Heterotic ALE instantons
• Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
• E-string Quantum Curve
• E_8 x E_8 Small Instantons in Matrix Theory
• Exceptional String: Instanton Expansions and Seiberg-Witten Curve
• Compactification of Tensionless String Theories
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• Symmetry enhancement and duality walls in 5d gauge theories
• Global tensor-matter transitions in F-theory
• Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics
• Chiral Generations on Intersecting 5-branes in Heterotic String Theory
• Gauge Dyonic Strings and Their Global Limit
• An Index for Ray Operators in 5d $E_n$ SCFTs
• Testing 5d-6d dualities with fractional D-branes
• Computing the elliptic genus of higher rank E-strings from genus 0 GW invariants
• 2d small N=4 Long-multiplet superconformal block
• Wrapped Branes and Supersymmetry
• (0,2) Noncritical Strings in Six Dimensions
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Chiral Compactifications of 6D Conformal Theories
• D=6, N=1 String Vacua and Duality
• Gauge/Gravity Duality in Heterotic String Theory
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• BPS Geodesics in N=2 Supersymmetric Yang-Mills Theory
• Refined topological vertex with ON-planes
• NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
• Higgsing towards E-strings
• Non-Spherical Horizons, I
• On Open Membranes, Cosmic Strings and Moduli Stabilization
• $\mathcal{N}=(1,0)$ Anomaly Multiplet Relations in Six Dimensions
• Toward the Gravity Dual of Heterotic Small Instantons
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Seiberg-Witten prepotential for E-string theory and global symmetries
• Kink-boundary collisions in a two dimensional scalar field theory
• W(E_10) Symmetry, M-Theory and Painleve Equations
• Calabi-Yau Duals for CHL Strings
• Cardy Limits of 6d Superconformal Theories
• Blowup Equations for Little Strings
• S-foldings of 5d SCFTs
• Gauge Five Brane Dynamics And Small Instanton Transitions In Heterotic Models
• Geometry of 6D RG Flows
• Phenomenology of heterotic M-theory with five-branes
• Orthosymplectic Quotient Quiver Subtraction
• Seiberg-Witten prepotential for E-string theory and random partitions
• On The M(atrix)-Model For M-Theory On $T^6$
• On a ${\mathbb{Z}}_3$-valued discrete topological term in 10d heterotic string theories
• Non-Abelian Gerbes from Strings on a Branched Space-Time
• A reduced BPS index of E-strings
• Thermodynamic limit of the Nekrasov-type formula for E-string theory
• On the chaos of D-brane phase transitions
• On $E_8$ and F-Theory GUTs
• Twisting E8 Five-Branes
• Supersymmetry Algebra in Super Yang-Mills Theories
• Heterotic plane wave matrix models and giant gluons
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Supersymmetry and Strongly Coupled Gauge Theories
• An explicit example of a moduli driven phase transition in heterotic models
• Punctures and Dynamical Systems
• Transitions of Orbifold Vacua
• Atomic Higgsings of 6D SCFTs
• Higher-dimensional field theories from type II supergravity
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• On the (0,4) Conformal Field Theory of the Throat
• Integrability in String Theories
• Worldsheet Instantons and a Null String Limit of Born-Infeld Theory
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Proving the 6d Cardy Formula and Matching Global Gravitational Anomalies
• Closing the Generation Gap
• E-strings, $F_4$, and $D_4$ triality
• SL(2,Z) tensionless string backgrounds in IIB string theory
• Quiver Polymerisation
• Weyl invariant $E_8$ Jacobi forms and $E$-strings
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
• Evidence for C-theorems in 6D SCFTs
• Seiberg-Witten Curve for E-String Theory Revisited
• Singular Yukawa and gauge couplings in d=4 Heterotic String Vacua
• The dark dimension, proton decay, and the length of the M-theory interval
• Supersymmetric zeta functions and determinants
• Comments on the Nekrasov-type formula for E-string theory
• F-theory duals of M-theory on $S^1/{\mathbb{Z}}_2\times T^4/{\mathbb{Z}}_N$
• BPS index and 4d N=2 superconformal field theories
• String Duality and Novel Theories without Gravity
• Correlation functions of the global E8 symmetry currents in the Heterotic 5-brane theory
• Aspects of N=1 String Dynamics
• NS Branes in Type I Theory
• Singularities in d=4, N=1 Heterotic String Vacua