### Abstract

Thermal duality, which relates the physics of closed strings at temperature [Formula Presented] to the physics at the inverse temperature [Formula Presented], is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of thermodynamic quantities such as entropy and specific heat are not invariant under the thermal duality symmetry. In this paper, we investigate whether there might nevertheless exist special solutions for the string effective potential such that the duality symmetry will be preserved for all thermodynamic quantities. Imposing this as a constraint, we derive a series of unique functional forms for the complete temperature dependence of the required string effective potentials. Moreover, we demonstrate that these solutions successfully capture the leading temperature behavior of a variety of actual one-loop effective potentials for duality-covariant finite-temperature string ground states. This leads us to conjecture that our solutions might actually represent the exact effective potentials when contributions from all orders of perturbation theory are included.

Original language | English (US) |
---|---|

Number of pages | 1 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 70 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 2004 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**Adventures in thermal duality. I. Extracting closed-form solutions for finite-temperature effective potentials in string theory.** / Dienes, Keith R; Lennek, Michael.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Adventures in thermal duality. I. Extracting closed-form solutions for finite-temperature effective potentials in string theory

AU - Dienes, Keith R

AU - Lennek, Michael

PY - 2004/1/1

Y1 - 2004/1/1

N2 - Thermal duality, which relates the physics of closed strings at temperature [Formula Presented] to the physics at the inverse temperature [Formula Presented], is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of thermodynamic quantities such as entropy and specific heat are not invariant under the thermal duality symmetry. In this paper, we investigate whether there might nevertheless exist special solutions for the string effective potential such that the duality symmetry will be preserved for all thermodynamic quantities. Imposing this as a constraint, we derive a series of unique functional forms for the complete temperature dependence of the required string effective potentials. Moreover, we demonstrate that these solutions successfully capture the leading temperature behavior of a variety of actual one-loop effective potentials for duality-covariant finite-temperature string ground states. This leads us to conjecture that our solutions might actually represent the exact effective potentials when contributions from all orders of perturbation theory are included.

AB - Thermal duality, which relates the physics of closed strings at temperature [Formula Presented] to the physics at the inverse temperature [Formula Presented], is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of thermodynamic quantities such as entropy and specific heat are not invariant under the thermal duality symmetry. In this paper, we investigate whether there might nevertheless exist special solutions for the string effective potential such that the duality symmetry will be preserved for all thermodynamic quantities. Imposing this as a constraint, we derive a series of unique functional forms for the complete temperature dependence of the required string effective potentials. Moreover, we demonstrate that these solutions successfully capture the leading temperature behavior of a variety of actual one-loop effective potentials for duality-covariant finite-temperature string ground states. This leads us to conjecture that our solutions might actually represent the exact effective potentials when contributions from all orders of perturbation theory are included.

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U2 - 10.1103/PhysRevD.70.126005

DO - 10.1103/PhysRevD.70.126005

M3 - Article

AN - SCOPUS:42749106629

VL - 70

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

ER -