### Abstract

We obtain the thermal one loop free energy and the Hagedorn temperature of IIA superstring theory on the pp-wave geometry which comes from the circle compactification of the maximally supersymmetric eleven dimensional one. We use both operator and path integral methods and find the complete agreement between them in the free energy expression. In particular, the free energy in the μ → ∞ limit is shown to be identical with that of IIB string theory on maximally supersymmetric pp-wave, which indicates the universal thermal behavior of strings in the large class of pp-wave backgrounds. We show that the zero point energy and the modular properties of the free energy are naturally incorporated into the path integral formalism.

Original language | English |
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Pages (from-to) | 131-155 |

Number of pages | 25 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 11 |

Publication status | Published - 2003 Nov 1 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*7*(11), 131-155.

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*Journal of High Energy Physics*, vol. 7, no. 11, pp. 131-155.

**Thermodynamic behavior of IIA string theory on a pp-wave.** / Hyun, Seungjoon; Yi, Sang Heon; Park, Jong Dae.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Thermodynamic behavior of IIA string theory on a pp-wave

AU - Hyun, Seungjoon

AU - Yi, Sang Heon

AU - Park, Jong Dae

PY - 2003/11/1

Y1 - 2003/11/1

N2 - We obtain the thermal one loop free energy and the Hagedorn temperature of IIA superstring theory on the pp-wave geometry which comes from the circle compactification of the maximally supersymmetric eleven dimensional one. We use both operator and path integral methods and find the complete agreement between them in the free energy expression. In particular, the free energy in the μ → ∞ limit is shown to be identical with that of IIB string theory on maximally supersymmetric pp-wave, which indicates the universal thermal behavior of strings in the large class of pp-wave backgrounds. We show that the zero point energy and the modular properties of the free energy are naturally incorporated into the path integral formalism.

AB - We obtain the thermal one loop free energy and the Hagedorn temperature of IIA superstring theory on the pp-wave geometry which comes from the circle compactification of the maximally supersymmetric eleven dimensional one. We use both operator and path integral methods and find the complete agreement between them in the free energy expression. In particular, the free energy in the μ → ∞ limit is shown to be identical with that of IIB string theory on maximally supersymmetric pp-wave, which indicates the universal thermal behavior of strings in the large class of pp-wave backgrounds. We show that the zero point energy and the modular properties of the free energy are naturally incorporated into the path integral formalism.

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M3 - Article

AN - SCOPUS:23044501292

VL - 7

SP - 131

EP - 155

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

ER -