Vacuum Energies of String Compactified on Torus

Sakai, Norisuke; Senda, Ikuo

doi:10.1143/ptp.75.692

Cited by 294 publications

(95 citation statements)

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“…In general, finite-temperature effects can be incorporated into string theory [8] by compactifying an additional time dimension on a circle (or orbifold [9]) of radius R T = (2πT ) −1 . However, Lorentz invariance guarantees that the properties of this extra time dimension should be the same as those of the original space dimensions, and T-duality [10,11,12] tells us that closed string theory on a compactified space dimension of radius R is indistinguishable from that on a space of radius R 2 c /R where R c = √ α ′ is the self-dual radius. Together, these symmetries then imply thermal duality, with T c ≡ M string /2π.…”

Section: Thermal Duality and The Rules Of Thermodynamicsmentioning

confidence: 99%

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

Lennek

2004

Phys. Rev. D

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Thermal duality, which relates the physics of closed strings at temperature T to the physics at the inverse temperature 1/T , 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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Section: Thermal Duality and The Rules Of Thermodynamicsmentioning

confidence: 99%

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

Lennek

2004

Phys. Rev. D

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“…We assign all the possible modular weights to the matter field and calculate the values of b ′i SU(2) ′ satisfying eq. (10). In a way similar to the above discussion we estimate the range of the α −1 SU(2) ′ at 10 13.0 GeV.…”

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confidence: 60%

Minimal string unification and hidden sector in Z8 orbifold models

Kobayashi

1994

Physics Letters B

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We study the minimal supersymmetric standard model derived from the Z 8 orbifold models and its hidden sectors. We use a target-space duality anomaly cancellation so as to investigate hidden sectors consistent with the MSSM unification. For the allowed hidden sectors, we estimate the running gauge coupling constants making use of threshold corrections due to the higher massive modes. The calculation is important from the viewpoint of gaugino condensations, which is one of the most promissing mechanism to break the supersymmetry.

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“…[3] Since the second revolution of string theory around 1995, we have seen that the five traditional ten-dimensional string theories (of type I, type IIA, type IIB, heterotic E 8 × E 8 and heterotic SO (32)) produced by the first revolution can be unified in an elevendimensional M-theory which appears as the strong coupling limit of type IIA string theory with its Kaluza-Klein modes of D-particles and each string theory describes a different aspect of the same theory. [9,10,115] The links between the five traditional string theories and M-theory are the string dualities [23,116,117,118,119], which are classified into two kinds. The first kind is the S-duality which relates the strong and weak coupling phases of the same theory or of two different theories.…”

Section: Discussionmentioning

confidence: 99%

Time and a Temporally Statistical Quantum Geometrodynamics

Konishi

2013

Int. J. Mod. Phys. A

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This paper is an exposition of the author's recent work on modeling M-theory vacua and quantum mechanical observers in the framework of a temporally statistical description of quantum geometrodynamics, including measurement processes based on the canonical theory of quantum gravity. In this paper we deal with several fundamental issues of time:the time-less problem in canonical quantum gravity; the physical origin of state reductions; and time-reversal symmetry breaking. We first model the observers and consider the timeless problem by invoking the time reparametrization symmetry breaking in the quantum mechanical world as seen by the observers. We next construct the hidden time variable theory, using a model of the gauged and affinized S-duality symmetry in type IIB string theory, as the statistical theory of time and explain the physical origin of state reductions using it. Finally, by the extension of the time reparametrization symmetry to all of the temporal hidden variables, we treat the issue of time reversal symmetry breaking as the spontaneous breaking of this extended time reparametrization symmetry. The classification of unitary time-dependent processes and the geometrizations of unitary and non-unitary time evolutions using the language of the derived category are also investigated.

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Vacuum Energies of String Compactified on Torus

Cited by 294 publications

References 1 publication

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

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

Minimal string unification and hidden sector in Z8 orbifold models

Time and a Temporally Statistical Quantum Geometrodynamics

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