Self-duality beyond chiral p-form actions

Miao, Yan-Gang; Manvelyan, Ruben; Müller-Kirsten, Harald J W

doi:10.1016/s0370-2693(00)00502-5

Cited by 10 publications

(7 citation statements)

References 37 publications

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“…Finally, we point out that the self-duality also exists in a wider context of theoretical models that relate to chiral p-forms, such as the generalized chiral Schwinger model (GCSM) [18], whose self-duality corresponds to the vector and axial vector current duality. This work is arranged in a separate paper [19].…”

Section: Resultsmentioning

confidence: 99%

Self-duality of various chiral boson actions

Miao

Müller-Kirsten

2000

Phys. Rev. D

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The duality symmetries of various chiral boson actions are investigated using D = 2 and D = 6 space-time dimensions as examples. These actions involve the Siegel, Floreanini-Jackiw, Srivastava and Pasti-Sorokin-Tonin formulations. We discover that the Siegel, Floreanini-Jackiw and Pasti-Sorokin-Tonin actions have self-duality with respect to a common anti-dualization of chiral boson fields in D = 2 and D = 6 dimensions, respectively, while the Srivastava action is self-dual with respect to a generalized dualization of chiral boson fields. Moreover, the action of the Floreanini-Jackiw chiral bosons interacting with gauge fields in D = 2 dimensions also has self-duality but with respect to a generalized anti-dualization of chiral boson fields. PACS number(s): 11.10.Kk 1 Alexander von Humboldt Fellow. 2

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Section: Resultsmentioning

confidence: 99%

Self-duality of various chiral boson actions

Miao

Müller-Kirsten

2000

Phys. Rev. D

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“…The relation between different non-covariant and covariant formulations was studied e.g. in [16,17,18]. The quantization of duality-symmetric and chiral gauge fields (which is a subtle and highly nontrivial problem, especially in topologically non-trivial backgrounds) has also been intensively studied, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Bagger-Lambert-Gustavsson-motivated Lagrangian formulation for the chiral two-form gauge field inD=6and M5-branes

et al. 2009

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We reveal non-manifest gauge and SO(1, 5) Lorentz symmetries in the Lagrangian description of a six-dimensional free chiral field derived from the Bagger-Lambert-Gustavsson model in arXiv:0804.3629 and make this formulation covariant with the use of a triplet of auxiliary scalar fields. We consider the coupling of this self-dual construction to gravity and its supersymmetrization. In the case of the non-linear model of arXiv:0805.2898 we solve the equations of motion of the gauge field, prove that its non-linear field strength is self-dual and find a gauge-covariant form of the non-linear action. Issues of the relation of this model to the known formulations of the M5-brane worldvolume theory are discussed.

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“…For the dualization of the chiral fields we shall follow the usual line of Refs. [13][14][15], but for the dualization of the auxiliary fields we shall proceed in our own way with the intention to avoid extensive calculations and to arrive directly at the desired result.…”

Section: Siegel-type Chiral P-form Action In D=2(p+1) Dimensionsmentioning

confidence: 99%

“…In order to solve these problems, some non-manifestly spacetime covariant [1,[3][4][5][6][7][8] and manifestly spacetime covariant [9][10][11][12] models have been proposed. It is remarkable that these chiral p-form models have close relationships among one another, especially various dualities that have been demonstrated in detail from the points of view of both configuration [12][13][14][15] and momentum [16,17] spaces.…”

Section: Introductionmentioning

confidence: 99%

Constructing doubly self-dual chiral p-form actions in D=2(p+1) spacetime dimensions

2001

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A Siegel-type chiral p-form action is proposed in D = 2(p + 1) spacetime dimensions.The approach we adopt is to realize the symmetric second-rank Lagrange-multiplier field, introduced in Siegel's action, in terms of a normalized multiplication of two (q+1)-form fields with q indices of each field contracted in the even p case, or of two pairs of (q+1)form fields with q indices of each pair of fields contracted in the odd p case, where the (q+1)-form fields are of external derivatives of one auxiliary q-form field for the former, or of a pair of auxiliary q-form fields for the latter. Using this action, it is straightforward to deduce the recently constructed PST action for q equal to zero. It is found that the Siegeltype chiral p-form action with a fixed p (even or odd) is doubly self-dual in D = 2(p + 1) spacetime dimensions when the auxiliary field(s) is/are also chosen to be of p-form. This result includes PST's as a special case where only the chiral 0-form action is doubly self-dual in D = 2 dimensions.

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Self-duality beyond chiral p-form actions

Cited by 10 publications

References 37 publications

Self-duality of various chiral boson actions

Self-duality of various chiral boson actions

Bagger-Lambert-Gustavsson-motivated Lagrangian formulation for the chiral two-form gauge field inD=6and M5-branes

Constructing doubly self-dual chiral p-form actions in D=2(p+1) spacetime dimensions

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