Lagrangian of self-dual gauge fields in various formulations

Huang, Wung-Hong

doi:10.1016/j.nuclphysb.2012.03.017

Cited by 8 publications

(22 citation statements)

References 30 publications

(68 reference statements)

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“…[4,[15][16][17][18][19][20][21][22]). Various possible ways of constructing actions which produce the (self)-duality relations as (a conse-quence of) equations of motion by effectively splitting d-dimensional space-time into pand q-dimensional subspaces, with d = p + q, were explored for free theories in flat space in [23,24]. In these formulations only SO(1, p − 1) × SO(q) subgroup of the SO(1, d − 1) Lorentz symmetry is manifest, while the complete 6d invariance is realized in a nonmanifest (modified) form.…”

Section: Introductionmentioning

confidence: 99%

Towards 2+4 formulation of M5-brane

Vanichchapongjaroen

2015

J. High Energ. Phys.

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We present an attempt to formulate an action for the worldvolume theory of a single M5-brane, based on the splitting of the six worldvolume directions into 2+4, which breaks manifest Lorentz invariance from SO(1, 5) to SO(1, 1) × SO(4). To this end, an action for the free six-dimensional (2,0) chiral tensor multiplet, and separately, a nonlinearly interacting chiral 2-form action are constructed. By studying the Lagrangian formulation for the chiral 2-form with 2+4 splitting, it is suggested that, if exists, the modified diffeomorphism of the theory on curved six-dimensional space-time is less trivial than its 1+5 and 3+3 counterpart, thus hindering the coupling of the chiral 2-form to the induced metric on the worldvolume of the M5-brane. We discuss difficulties of further generalisation of the theory. Finally, in terms of Hamiltonian analysis, we show that the naively gauge-fixed failed-PST-covariantised Lagrangian has the correct number of degrees of freedom, and satisfies the hyper-surface deformation algebra.

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Section: Introductionmentioning

confidence: 99%

Towards 2+4 formulation of M5-brane

Vanichchapongjaroen

2015

J. High Energ. Phys.

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“…The action for Abelian self-dual gauge fields (also called "chiral bosons") [57,44,59,60,61] can be found in various forms in the literature. Having a non-Abelianized gauge symmetry for 2-form potentials, one would like to construct a gauge-invariant action.…”

Section: Lagrangianmentioning

confidence: 99%

“…It is not clear how they may be related to each other at the quantum level. In general, there are many classically equivalent Lagrangians for a self-dual gauge field [59,61]. It will be interesting to investigate the quantum theories for these actions.…”

Section: Lagrangianmentioning

confidence: 99%

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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“…First of all, there are various Lagrangian formulations for the classical theory of a free chiral boson [1][2][3][4][5][6]. These are well-defined theories useful for describing classical configurations.…”

Section: Motivationmentioning

confidence: 99%

“…Siegel [1] realized that the problem can be avoided by imposing the square of the self-duality condition as the constraint, and new gauge symmetries are introduced at the same time. In fact, by introducing additional gauge symmetries in different ways, there are many ways to write down a Lagrangian for chiral bosons in general dimensions [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Partition function of a chiral boson on a 2-torus from the Floreanini-Jackiw Lagrangian

Chen¹,

Ho²,

Kao³

et al. 2014

Progress of Theoretical and Experimental Physics

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We revisit the problem of quantizing a chiral boson on a torus. The conventional approach is to extract the partition function of a chiral boson from the path integral of a non-chiral boson. Instead we compute it directly from the chiral boson Lagrangian of Floreanini and Jackiw modified by topological terms involving an auxiliary field. A careful analysis of the gauge-fixing condition for the extra gauge symmetry reproduces the correct results for the free chiral boson, and has the advantage of being applicable to a wider class of interacting chiral boson theories.

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Lagrangian of self-dual gauge fields in various formulations

Cited by 8 publications

References 30 publications

Towards 2+4 formulation of M5-brane

Towards 2+4 formulation of M5-brane

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

Partition function of a chiral boson on a 2-torus from the Floreanini-Jackiw Lagrangian

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