Bosonization and duality symmetry in the soldering formalism

Banerjee, Rabin; Wotzasek, C.

doi:10.1016/s0550-3213(98)00411-8

Cited by 52 publications

(111 citation statements)

References 51 publications

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“…The property of self (or anti-self) duality follows on exploiting the equations of motion [8]. Note that the mass parameters are different in the two cases.…”

Section: III An Operator Approachmentioning

confidence: 99%

“…This is the case when the Maxwell-Chern-Simons doublet with identical mass yields the Proca model [7,8].…”

Section: The Energy Momentum Tensor and Spinmentioning

confidence: 99%

“…An intriguing fact, first noted in [2] and briefly discussed in [7][8][9], is that topologically massive doublets, with identical mass parameters having opposite sign, are equivalent to a parity preserving vector theory with an explicit mass term. This is the Proca model.…”

Section: Introductionmentioning

confidence: 99%

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Self-dual models and mass generation in planar field theory

Banerjee

Kumar

2001

Phys. Rev. D

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We analyse in three space-time dimensions, the connection between abelian self dual vector doublets and their counterparts containing both an explicit mass and a topological mass. Their correspondence is established in the lagrangian formalism using an operator approach as well as a path integral approach. A canonical hamiltonian analysis is presented, which also shows the equivalence with the lagrangian formalism. The implications of our results for bosonisation in three dimensions are discussed.

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“…The property of self (or anti-self) duality follows on exploiting the equations of motion [8]. Note that the mass parameters are different in the two cases.…”

Section: III An Operator Approachmentioning

confidence: 99%

“…This is the case when the Maxwell-Chern-Simons doublet with identical mass yields the Proca model [7,8].…”

Section: The Energy Momentum Tensor and Spinmentioning

confidence: 99%

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Self-dual models and mass generation in planar field theory

Banerjee

Kumar

2001

Phys. Rev. D

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“…A systematic derivation of selfdual actions for two and four dimensional cases was proposed in [6] using the dual projection procedure. Here we generalise the method to inclued all even dimensions.…”

Section: Parity and Dual Projection In Even Dimensional Spacetimesmentioning

confidence: 99%

“…A solution for these problems came with the recognition of an internal structure in the space of potentials [5,6]. The internal space effectively unifies the selfduality concept in the different 4k − 2 and 4k dimensions.…”

Section: Introductionmentioning

confidence: 99%

Dual projection and self-duality in three dimensions

Banerjee

Wotzasek

2001

Phys. Rev. D

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We discuss the notion of duality and selfduality in the context of the dual projection operation that creates an internal space of potentials. Contrary to the prevailing algebraic or group theoretical methods, this technique is applicable to both even and odd dimensions. The role of parity in the kernel of the Gauss law to determine the dimensional dependence is clarified.We derive the appropriate invariant actions, discuss the symmetry groups and their proper generators. In particular, the novel concept of duality symmetry and selfduality in Maxwell theory in (2+1) dimensions is analysed in details. The corresponding action is a 3D version of the familiar duality symmetric electromagnetic theory in 4D. Finally, the duality symmetric actions in the different dimensions constructed here manifest both the SO(2) and Z2 symmetries, contrary to conventional results.

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Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions

Cantcheff

2002

EPJ direct

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It is often claimed [1] that the (Hodge type) duality operation is defined only in even dimensional spacetimes and that self-duality is further restricted to twice-odd dimensional spacetime theories. The purpose of this paper is to extend the notion of both duality symmetry as well as self-duality.By considering tensorial doublets, we introduce a novel well-defined notion of self-duality based on a duality Hodge-type operation in arbitrary dimension and for any rank of these tensors. Thus, a generalized Self-Dual Action is defined such that equations of motion are the claimed generalized self-duality relations. We observe in addition, that taking the proper limit on the parameters of this action, it always provides us with a master-action, which interpolates models well-studied in physics; by considering a particular limit, we find an action which describes an interesting type of relation, referred to as semi-self-duality, which results to be the parent action between Maxwell-type actions.Finally, we apply these ideas to construct manifest Hodge-type self-dual solutions in a (2+1)-dimensional version of the Maxwell's theory.

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Bosonization and duality symmetry in the soldering formalism

Cited by 52 publications

References 51 publications

Self-dual models and mass generation in planar field theory

Self-dual models and mass generation in planar field theory

Dual projection and self-duality in three dimensions

Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions

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