Thermal Amplitudes in DLCQ Superstrings on PP-Waves

Abstract

We calculate the thermal partition function of DLCQ superstring on the maximally supersymmetric pp-wave background, which is realized as the Penrose limit of orbifolded $Ad{S}_5\times S^5$ and known to be dual to the $\mathcal{N}=2$ ``large'' quiver gauge theory as shown by S. Mukhi, M. Rangamani and E. Verlinde, hep-th/0204147. Making use of the path-integral technique, we derive the manifestly modular invariant expression and show the equivalence with the free energy of second quantized free superstring on this background. The ``virtual strings'' wound around the temporal circle play essential roles for realizing the modular invariance and for a simple analysis on the Hagedorn temperature. We also calculate the thermal one-loop amplitudes of open strings under the various backgrounds of the supersymmetric time-like and Euclidean D-branes, and confirm the existence of correct open-closed string duality. Furthermore, we extend these thermodynamical analysis to the 6-dimensional DLCQ pp-waves with general RR and NSNS flux. These superstring vacua are similarly derived from the supersymmetric (half SUSY) and non-supersymmetric orbifolds of $Ad{S}_3\times S^3\times M^4$ ($M^4=T^4$ or $K3$) by the appropriate Penrose limits, giving rise to the SUSY enhancement as in the case of orbifolded $Ad{S}_5\times S^5$.

45 pages, no figure; v2 minor corrections, references added; v3 some Comments added, minor corrections, version to appear in Nucl. Phys. B; v4 a reference added; v5 eqs. (2.51), (2.75) corrected

References in corpus (3)

• PP-wave string interactions from perturbative Yang-Mills theory
• Superstrings on PP-Wave Backgrounds and Symmetric Orbifolds
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry

Cited by in corpus (28)

• Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
• Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
• Matching the Hagedorn temperature in AdS/CFT
• Hagedorn vs. Hawking-Page transition in string theory
• The superstring Hagedorn temperature in a pp-wave background
• Fuzzy Spheres in pp Wave Matrix String Theory
• Thermodynamic behavior of IIA string theory on a pp-wave
• Boundary States for Supertubes in Flat Spacetime and Godel Universe
• On zero-point energy, stability and Hagedorn behavior of Type IIB strings on pp-waves
• Boundary States for D-branes with Traveling Waves
• Superstring in a pp-wave background at finite temperature - TFD approach
• Magnetic Heisenberg-chain/pp-wave correspondence
• D-Brane Propagation in Two-Dimensional Black Hole Geometries
• Thermal Partition Function of Superstring on Compactified PP-Wave
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• On the Hagedorn Behaviour of Singular Scale-Invariant Plane Waves
• PP-Wave Light-Cone Free String Field Theory at Finite Temperature
• Partition Function and Open/Closed String Duality in Type IIA String Theory on a PP-wave
• Correspondence Principle for Black Holes in Plane Waves
• The String Light Cone in the pp-wave Background
• No pair production of open strings in a plane-wave background
• Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
• Nonequilibrium dynamics of strings in time-dependent plane wave backgrounds
• A note on the universality of the Hagedorn behavior of pp-wave strings
• On type 0 string theory in solvable RR backgrounds
• DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold
• On the asymptotic density of states in solvable models of strings
• The Hagedorn temperature in a decoupled sector of AdS/CFT