Finite temperature systems of brane-antibrane on a torus

Hotta, Kenji

doi:10.1088/1126-6708/2003/09/002

Cited by 11 publications

(27 citation statements)

References 59 publications

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“…We have pointed out in the previous papers that there are cases that these unstable branes become stable at very high temperatures. 8), 9) In particular, the spacetime-filling D9-D9 pair becomes stable at sufficiently high temperature in all cases we have studied.…”

Section: D9-branesmentioning

confidence: 73%

“…We have considered finite temperature D-brane−anti-D-brane systems 8), 9), * ) in the framework of boundary string field theory (BSFT). 10), 11) This theory is based on the Batalin-Vilkoviski formalism.…”

Section: D9-branesmentioning

confidence: 99%

“…Andreev and Oft have proposed one choice, 20) and we have computed the one-loop free energy using it. 8), 9) Then, we computed the finite temperature effective potential Finite Temperature Systems of Brane-Antibrane Pairs of D-brane−anti-D-brane systems near the Hagedorn temperature and discovered that there are cases in which T = 0 becomes a stable minimum near the Hagedorn temperature, although it is a local maximum at zero temperature. The purpose of this paper is to generalize the above-mentioned calculation to finite temperature systems with multiple D-brane−anti-D-brane pairs and multiple non-BPS branes and to discuss their thermodynamic properties.…”

Section: D9-branesmentioning

confidence: 99%

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Finite Temperature Systems of Brane-Antibrane Pairs and Non-BPS D-Branes

Hotta

2004

Progress of Theoretical Physics

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We investigate the thermodynamic properties of D-brane−anti-D-brane pairs and non-BPS D-branes on the basis of boundary string field theory. We calculate the finite temperature effective potential of N D-brane−anti-D-brane pairs in a non-compact background and in a toroidal background. In the non-compact background case, a phase transition occurs slightly below the Hagedorn temperature, and the D9-D9 pairs become stable. Moreover, the total energy at the critical temperature is a decreasing function of N as long as the 't Hooft coupling is very small. This leads to the conclusion that a large number N of D9-D9 pairs are created simultaneously near the Hagedorn temperature. In the toroidal background case (M 1,9−D × T D ), a phase transition occurs only if the Dp-Dp pair is extended in all the noncompact directions, as long as the 't Hooft coupling is very small. The total energy at the critical temperature also decreases as N increases. We also calculate the finite temperature effective potential of non-BPS D-branes, and we obtain similar results. Then, we consider the thermodynamic balance between open strings on these branes and closed strings in the bulk in the ideal gas approximation, and conclude that the total energy is dominated by the open strings. §1. IntroductionUnderstanding the properties of unstable D-brane systems, such as coincident D-brane−anti-D-brane pairs and non-BPS D-branes, 1) has been a subject of much interest (for a review see, e.g., Ref. 2)). Type IIB string theory contains D-brane−anti-D-brane pairs of odd dimension and non-BPS D-branes of even dimension, whereas type IIA string theory contains D-brane−anti-D-brane pairs of even dimension and non-BPS D-branes of odd dimension. The spectrum of open strings on these unstable branes contains a tachyon field T . In such a brane configuration, we have T = 0, and the potential of this tachyon field has a local maximum at T = 0. If we assume that the tachyon potential has a non-trivial minimum, it is hypothesized that the tachyon falls into it. Sen conjectured that the tensions of these branes and the negative potential energy of the tachyon exactly cancel at the potential minimum. 3) This implies that these unstable brane systems disappear at the end of the tachyon condensation.If tachyon condensation occurs in a topologically non-trivial way, there remain some topological defects, such as kinks and vortices. We can identify these topological defects as lower-dimensional D-branes and the topological charge as the RamondRamond charge of the resulting D-branes. 1),3) These D-brane charges can be classified using K-theory. 4),5) In particular, we can realize all the D-branes through tachyon condensation from the spacetime-filling branes, such as D9-D9 pairs and non-BPS * )

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Section: D9-branesmentioning

confidence: 73%

Section: D9-branesmentioning

confidence: 99%

Section: D9-branesmentioning

confidence: 99%

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Finite Temperature Systems of Brane-Antibrane Pairs and Non-BPS D-Branes

Hotta

2004

Progress of Theoretical Physics

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“…On basis of boundary string field theory [89], brane-antibrane system was exploited [90] in toroidal background to investigate its thermodynamic properties associated with Hagedorn temperature [91,92]. Nahm transform and moduli spaces of CP(N) models were also studied on the toric geometry [93].…”

Section: Introductionmentioning

confidence: 99%

BRST Symmetry and de Rham Cohomology

Hong¹

2015

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“…Thus, if non-BPS D9-branes exist in the early universe, various kinds of branes may form through tachyon condensation [28]. It would 5 We investigate the non-BPS D9-brane case instead of the case of the lower-dimensional non-BPS Dbranes with D + d = 9 in a toroidal background, because it is expected that the spacetime-filling branes provide rich structure for the formation of lower-dimensional D-branes as we will mention below. 6 Calcagni has investigated the brane inflation by using cubic string field theory in Ref.…”

Section: Introductionmentioning

confidence: 99%

Non-BPS D9-Branes in the Early Universe

Hotta

2007

Prog. Theor. Phys. Suppl.

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We have investigated the finite temperature systems of non-BPS D-branes and D-brane−anti-D-brane pairs in the previous papers. It has been shown that non-BPS D9-branes and D9-D9 pairs become stable near the Hagedorn temperature on the basis of boundary string field theory. This implies that there is a possibility that these spacetime-filling branes exist in the early universe. We study the time evolution of the universe in the presence of non-BPS D9-branes on the basis of boundary string field theory in this paper. We try to construct the following scenario for the early universe: The universe expands at high temperature and the open string gas on the non-BPS D9-branes dominates the total energy of the system at first. The temperature decreases as the universe expands. Then the non-BPS D9-branes become unstable at low temperature and decay through tachyon condensation. We obtain some classical solutions for Einstein gravity and dilaton gravity in the very simple cases.

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Finite temperature systems of brane-antibrane on a torus

Cited by 11 publications

References 59 publications

Finite Temperature Systems of Brane-Antibrane Pairs and Non-BPS D-Branes

Finite Temperature Systems of Brane-Antibrane Pairs and Non-BPS D-Branes

BRST Symmetry and de Rham Cohomology

Non-BPS D9-Branes in the Early Universe

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