Non-abelian self-dual string solutions

Chu, Chong‐Sun; Ko, Sheng-Lan; Vanichchapongjaroen, Pichet

doi:10.1007/jhep09(2012)018

Cited by 18 publications

(46 citation statements)

References 57 publications

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“…There exists a number of proposals for the fundamental formulation of the six dimensional (2,0) theory: most notably, these include the Discrete Light-Cone Quantisation 1 However just like in supergravity or hydrodynamics, it is perfectly sensible to look for a classical Lagrangian description for the effective dynamics of the (2,0) fields in the long wavelength limit. In this context, see for example [10] where a set of non-Abelian self-dual equation has been constructed and proposed as the classical equation of motion for the self-dual tensor gauge field in the low energy effective theory of the multiple M5branes theory, with various supporting evidences obtained in [10][11][12][13][14][15]. We remark however that supersymmetry is missing in this construction.…”

Section: Introductionmentioning

confidence: 87%

Boundary string current & Weyl anomaly in six-dimensional conformal field theory

Chu

Miao

2019

J. High Energ. Phys.

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It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum [1]. It was also shown that this "magnetic Casimir effect" of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system [2]. In this paper, we generalize this four dimensional effect to six dimensions. We use the AdS/BCFT holography to show that in the presence of a 3-form magnetic field strength H, a string current is induced in a six dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six dimensional conformal field theory in a H-flux background. For the (2,0) superconformal field theory of N M5-branes, the current has a magnitude proportional to N 3 for large N . This suggests that the degree of freedoms scales as N 3 in the (2,0) superconformal theory of N multiple M5-branes. The prediction we have for the Weyl anomaly is a new criteria that the (2,0) theory should satisfy.

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Section: Introductionmentioning

confidence: 87%

Boundary string current & Weyl anomaly in six-dimensional conformal field theory

Chu

Miao

2019

J. High Energ. Phys.

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“…The similarity and differences between the theory of Ref. [29] with our theory of multiple M5-branes will be discussed later in Sec. 6.2, but coincidentally the solution found in Ref.…”

Section: Kk-mode Solutionmentioning

confidence: 86%

“…Despite the lack of a complete theory with Lagrangian and SUSY transformation rules, field equations for the 2-form gauge potential and BPS conditions were proposed in Ref. [29] for M2-branes ending on multiple M5-branes. A solution exists [29] to represent an open M2brane stretched between two M5-branes, lying along the x 4 -direction, with an x 5 -dependent distribution.…”

Section: Kk-mode Solutionmentioning

confidence: 99%

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Aspects of effective theory for multiple M5-branes compactified on circle

Matsuo

2014

J. High Energ. Phys.

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A supersymmetric non-Abelian self-dual gauge theory with the explicit introduction of Kaluza-Klein modes is proposed to give a classical description of multiple M5-branes on R 5 × S 1 . The gauge symmetry is parametrized by Lie-algebra valued 1-forms with the redundancy of a 0-form, and the supersymmetry transformations without gaugefixing are given. We study BPS configurations involving KK modes, including M-waves and M2-branes with non-trivial distributions around the circle. Finally, this supersymmetric gauge theory of two-forms can be equipped with more general non-Abelian gerbes in five dimensions.

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“…where we have used (21). On the other hand, the holographic Weyl anomaly of [12] is obtained in [87] with the central charge given by…”

Section: Holographic Boundary Conformal Field Theorymentioning

confidence: 99%

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

Chu

2019

Fortschritte der Physik

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It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non‐uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum. It was also shown that this ‘magnetic Casimir effect’ of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system. In this article, we review the derivation of this phenomena from QFT as well as the derivation of it using AdS/BCFT. We then generalize this four dimensional effect to six‐dimensions. We use the AdS/BCFT holography to show that in the presence of a 3‐form magnetic field strength H, a string current is induced in a six‐dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six‐dimensional conformal field theory in a H‐flux background. For the (2,0) superconformal field theory of N M5‐branes, the current has a magnitude proportional to N3 for large N. This suggests that the degree of freedoms scales as N3 in the (2,0) superconformal theory of N multiple M5‐branes. Our result for the Weyl anomaly is a new prediction for the (2,0) theory.

show abstract

Non-abelian self-dual string solutions

Cited by 18 publications

References 57 publications

Boundary string current & Weyl anomaly in six-dimensional conformal field theory

Boundary string current & Weyl anomaly in six-dimensional conformal field theory

Aspects of effective theory for multiple M5-branes compactified on circle

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

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