Little String Theories in Heterotic Backgrounds

Abstract

We study Little String Theories (LST) with $\mathcal{N}=(1,0)$ supersymmetry arising, in a suitable double scaling limit, from 5-branes in heterotic string theory or in the heterotic-like type II/$(-{)}^{F_L}\times \mathrm{shift}$. The limit in question, previously studied in the type II case, is such that the resulting holographically dual pairs, i.e. bulk string theory and LST are at a finite effective coupling. In particular, the internal $(2,2)$ SCFT on the string theory side is non-singular and given by $SL(2)/U(1)\times SU(2)/U(1)$ coset. In the type II orbifold case, we determine the orbifold action on the internal SCFT and construct the boundary states describing the non-BPS massive states of a completely broken $SO$ gauge theory, in agreement with the dual picture of D5-branes in type II/$\Omega \times \mathrm{shift}$. We also describe a different orbifold action which gives rise to a $Sp$ gauge theory with $(1,1)$ supersymmetry. In both the heterotic SO(32) and $E_8\times E_8$ cases, we determine the gauge bundles which correspond to the above SCFT and break down the gauge groups to $SU(2)\times SO(28)$ and $E_7\times E_8$ respectively. The double scaling limit in this case involves taking small instanton together with small string coupling constant limit. We determine the spectrum of chiral gauge invariant operators with the corresponding global symmetry charges on the LST side and compare with the massless excitations on the string theory side, finding agreement for multiplicities and global charges.

Typos corrected, references added

References in corpus (6)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Little String Theory at a TeV
• Cosmological Evolution on Self-Tuned Branes and the Cosmological Constant
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• AdS/CFT correspondence and D1/D5 systems in theories with 16 supercharges
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Cited by in corpus (13)

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• Double-Scaling Limit of Heterotic Bundles and Dynamical Deformation in CFT
• Heterotic NS5-branes from closed string tachyon condensation
• Five-Brane Configurations without a Strong Coupling Regime
• Non-critical Heterotic Superstrings in Various Dimensions
• Five-Brane Configurations, Conformal Field Theories and the Strong-Coupling Problem
• K3 metrics from little string theory
• Black Hole - String Transition and Rolling D-brane
• Fluctuating Ensemble Averages and the BTZ Threshold
• Umbral Moonshine and String Duality
• Landscape of Narain CFTs