Decay of type 0 Neveu-Schwarz 5-branes to nothing

Imamura, Yosuke

doi:10.1103/physrevd.69.026005

Cited by 2 publications

(12 citation statements)

References 27 publications

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“…The emergence of tachyonic modes indicates the instability of the spacetime. Indeed, the tachyonic mode of the deformed C 2 /Z 2 obtained in §4.2 corresponds to the instability of the spacetime against the creation of the Witten's bubble studied in [22]. The result in §4.2 confirms that this is only the unstable.…”

Section: Conclusion and Discussionsupporting

confidence: 54%

“…(42) We can understand the masslessness of the singlet state as a result of the B-field gauge symmetry. There is only one tachyonic state, which carries no U(1) L × U(1) R charges, and it is nothing but the unstable mode associated with the creation of a Witten's bubble discussed in [22]. We have now confirmed that this is the unique unstable mode and obtain the mass including the numerical factor, which was not obtained in [22].…”

Section: Twisted Mode Analysissupporting

confidence: 58%

“…denote holomorphic (anti-holomorphic) indices of 3 (10) (3 (01) ) representation. The tensor T (27) ijkl belongs to 27 (22) and satisfies…”

Section: Deformation Of Supersymmetric Orbifoldsmentioning

confidence: 99%

“…In [22], the T-duality between type 0 NS5-branes and an orbifold deformed in this way is discussed, and the existence of a tachyonic mode responsible to the creation of Witten's bubble are shown. However, it is difficult to find all the unstable modes and to determine their tachyonic masses by analyzing small fluctuations of the metric.…”

Section: Introductionmentioning

confidence: 99%

“…However, it is difficult to find all the unstable modes and to determine their tachyonic masses by analyzing small fluctuations of the metric. Indeed only the existence of at least one tachyonic mode was shown in [22], and the number of all localized tachyons and their masses including numerical factors were not determined. One purpose of this paper is to give an answer to this problem with the help of string theory.…”

Section: Introductionmentioning

confidence: 99%

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Ricci-flat deformation of orbifolds and localized tachyonic modes

Imamura

Koyama

Nobuyama

2004

J. High Energy Phys.

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We study Ricci-flat deformations of orbifolds in type II theory. We obtain a simple formula for mass corrections to the twisted modes due to the deformations, and apply it to originally tachyonic and massless states in several examples. In the case of supersymmetric orbifolds, we find that tachyonic states appear when the deformation breaks all the supersymmetries. We also study nonsupersymmetric orbifolds C 2 /Z 2N (2N +1) , which is T-dual to N type 0 NS5-branes. For N ≥ 2, we compute mass corrections for states, which have string scale tachyonic masses. We find that the corrected masses coincide to ones obtained by solving the wave equation for the tachyon field in the smeared type 0 NS5-brane background geometry. For N = 1, we show that the unstable mode representing the bubble creation is the unique tachyonic mode.

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Section: Conclusion and Discussionsupporting

confidence: 54%

Section: Twisted Mode Analysissupporting

confidence: 58%

“…denote holomorphic (anti-holomorphic) indices of 3 (10) (3 (01) ) representation. The tensor T (27) ijkl belongs to 27 (22) and satisfies…”

Section: Deformation Of Supersymmetric Orbifoldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ricci-flat deformation of orbifolds and localized tachyonic modes

Imamura

Koyama

Nobuyama

2004

J. High Energy Phys.

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The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals

Duan

Yang

et al. 2022

New J. Phys.

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The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction has been extensively explored in isotropic Dirac systems with linear dispersion, which typically follows an exponent decaying rate with the impurity distance $R$, i.e., $J\propto 1/R^d$ ($1/R^{2d-1}$) in $d$-dimensional systems at finite (zero) Fermi energy. This fast decay makes it rather difficult to be detected and limits its application in spintronics. Here, we theoretically investigate the influence of anisotropic dispersion on the RKKY interaction, and find that the introduction of non-relativistic dispersion in semi-Dirac semimetals (S-DSMs) can significantly prolong the decay of the RKKY interaction and can remarkably enhance the Dzyaloshinskii-Moriya interaction around the relativistic direction. The underlying physics is attributed to the highly increased density of states in the linear-momentum direction as a result of the interplay of relativistic and non-relativistic electrons. Furthermore, we propose a general formula to determine the decaying rate of the RKKY interaction, extending the typical formula for isotropic DSMs. Our results suggest that the S-DSM materials are a powerful platform to detect and control the magnetic exchange interaction, superior to extensively adopted isotropic Dirac systems.

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Decay of type 0 Neveu-Schwarz 5-branes to nothing

Cited by 2 publications

References 27 publications

Ricci-flat deformation of orbifolds and localized tachyonic modes

Ricci-flat deformation of orbifolds and localized tachyonic modes

The prolonged decay of RKKY interactions by interplay of relativistic and non-relativistic electrons in semi-Dirac semimetals

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