Compactified Little String Theories and Compact Moduli Spaces of Vacua

Abstract

It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T^3 leads to 3d theories with exact, quantum Coulomb branch given by: an arbitrary T^4 of volume M_s^2, an arbitrary K3 of volume M_s^2, and moduli spaces of G=SU(N), SO(2N), or E_{6,7,8} instantons on an arbitrary T^4 or K3 of fixed volume. Compactifying instead on a T^2 leads to 4d theories with a compact Coulomb branch base which, when combined with the exact photon gauge coupling fiber, is a compact, elliptically-fibered space related to the above spaces.

arXiv comment12 pages, harvmac; v2:added reference

References in corpus (25)

• M Theory As A Matrix Model: A Conjecture
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• String Theory Dynamics In Various Dimensions
• Evidence for F-Theory
• Target Space Duality in String Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• Small Instantons in String Theory
• F-theory and Orientifolds
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• UV/IR Relations in AdS Dynamics
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Matrix Description of M-theory on $T^4$ and $T^5$
• Probing F-theory With Branes
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Point-like Instantons on K3 Orbifolds
• IR Dynamics on Branes and Space-Time Geometry
• Consistency Conditions for Branes at Orbifold Singularities
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• Semiclassical decay of near extremal fivebranes
• Point-like Instantons and the Spin(32)/Z2 Heterotic String
• New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries
• Comments on the IIA NS5-brane
• On the Twisted (2,0) and Little-String Theories
• Mirror Symmetry via Deformation of Bundles on K3 Surfaces
• T-Duality Can Fail

Cited by in corpus (15)

• F-theory and the Classification of Little Strings
• 2-Group Symmetries of 6d Little String Theories and T-duality
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• Dual Little Strings and their Partition Functions
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces
• D-type fiber-base duality
• The Higgs branch of Heterotic ALE instantons
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Twisting E8 Five-Branes
• K3 metrics from little string theory
• Supersymmetry and Strongly Coupled Gauge Theories
• On Superspace Chern-Simons-like Terms
• Umbral Moonshine and String Duality
• A plethora of K3 metrics