Quantization of self-dual field revisited

Srivastava, Prem Prakash

doi:10.1103/physrevlett.63.2791

Cited by 58 publications

(84 citation statements)

References 14 publications

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“…Seigel initiated the study of chiral boson in his seminal work [7]. Another description of chiral boson came from the work of Srivastva [8]. In these two descriptions [7,8], the lagrangian of chiral boson were constituted with the second order time derivative of the field.…”

Section: Introductionmentioning

confidence: 99%

“…Another description of chiral boson came from the work of Srivastva [8]. In these two descriptions [7,8], the lagrangian of chiral boson were constituted with the second order time derivative of the field. In the description of Seigel chiral constraint was in a quadratic form where as in the description of Srivastava it was in a linear form.…”

Section: Introductionmentioning

confidence: 99%

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Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Rahaman¹,

Yasmin

2017

Annals of Physics

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The gauged model of Siegel type chiral boson is considered. It has been shown that the action of gauged model of Floreanini-Jackiw (FJ) type chiral boson is contained in it in an interesting manner. A BRST invariant action corresponding to the action of gauged FJ type chiral boson has been formulated using Batalin, Fradkin and Vilkovisky based improved Fujiwara, Igarishi and Kubo (FIK) formalism. An alternative quantization of the gauge symmetric action has been made with a Lorentz gauge and an attempt has been made to establish the equivalence between the gauge symmetric version of the extended phase space and original gauge non-invariant version of the usual phase space.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Rahaman¹,

Yasmin

2017

Annals of Physics

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“…To this end, various formulations of actions have been proposed [8][9][10][11][12][13][14]. These actions can be classified by manifestly Lorentz covariant versions [8][9][10][11][12] and non-manifestly Lorentz covariant versions [13,14] when one emphasizes their formalism under the Lorentz transformation, or by polynomial versions [8][9][10][11] and non-polynomial version [12] when one focuses on auxiliary fields introduced in the actions. Incidentally, there are no auxiliary fields introduced in the non-manifestly Lorentz covariant actions [13,14].…”

Section: Introductionmentioning

confidence: 99%

Self-duality beyond chiral p-form actions

Miao¹,

Manvelyan²,

Müller-Kirsten³

2000

Physics Letters B

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The self-duality of chiral p-forms was originally investigated by Pasti, Sorokin and Tonin in a manifestly Lorentz covariant action with non-polynomial auxiliary fields. The investigation was then extended to other chiral p-form actions. In this paper we point out that the self-duality appears in a wider context of theoretical models that relate to chiral p-forms. We demonstrate this by considering the interacting model of FloreaniniJackiw chiral bosons and gauge fields, the generalized chiral Schwinger model (GCSM) and the latter's gauge invariant formulation, and discover that the self-duality of the GCSM corresponds to the vector and axial vector current duality.

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“…The model of the 2 self-dual chiral bosonic field theory has found applications in different areas of research in theoretical physics, for example, models of (super)strings, W-gravities, quantum Hall effect, and 2 statistical systems (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12] for details). This model has been shown to provide a physical example of Hodge theory [13].…”

Section: Introductionmentioning

confidence: 99%

(Anti)chiral Superfield Approach to Nilpotent Symmetries: Self-Dual Chiral Bosonic Theory

Srinivas

Bhanja

Malik

2017

Advances in High Energy Physics

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We exploit the beauty and strength of the symmetry invariant restrictions on the (anti)chiral superfields to derive the BecchiRouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations in the case of a two (1 + 1)-dimensional (2 ) self-dual chiral bosonic field theory within the framework of augmented (anti)chiral superfield formalism. Our 2 ordinary theory is generalized onto a (2, 2)-dimensional supermanifold which is parameterized by the superspace variable = ( , , ), where (with = 0, 1) are the ordinary 2 bosonic coordinates and ( , ) are a pair of Grassmannian variables with their standard relationships: 2 = 2 = 0, + = 0. We impose the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti)chiral superfields (defined on the (anti)chiral (2, 1)-dimensional supersubmanifolds of the above general (2, 2)-dimensional supermanifold) to derive the above nilpotent symmetries. We do not exploit the mathematical strength of the (dual-)horizontality conditions anywhere in our present investigation. We also discuss the properties of nilpotency, absolute anticommutativity, and (anti-)BRST and (anti-)co-BRST symmetry invariance of the Lagrangian density within the framework of our augmented (anti)chiral superfield formalism. Our observation of the absolute anticommutativity property is a completely novel result in view of the fact that we have considered only the (anti)chiral superfields in our present endeavor.

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Quantization of self-dual field revisited

Cited by 58 publications

References 14 publications

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Gauged Floreanini–Jackiw type chiral boson and its BRST quantization

Self-duality beyond chiral p-form actions

(Anti)chiral Superfield Approach to Nilpotent Symmetries: Self-Dual Chiral Bosonic Theory

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