Self-dual models and mass generation in planar field theory

Banerjee, Rabin; Kumar, Sarmishtha

doi:10.1103/physrevd.63.125008

Cited by 16 publications

(27 citation statements)

References 24 publications

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“…This can be easily verified from the rule of degrees of freedom counting for the constrained systems. Another remarkable aspect is the symplectic structure (19). Though both x 1 and x 2 are real their Dirac bracket is complex.…”

Section: R Banerjee and P Mukherjeementioning

confidence: 99%

“…From the symplectic structure (19) it is evident that −2iωx 2 is the conjugate momentum to x 1 . Now consider the canonical transformation to (x + , p + ), where…”

Section: R Banerjee and P Mukherjeementioning

confidence: 99%

“…This Lagrangian reduction can be done using the soldering formalism which has found applications in various contexts. [16][17][18][19][20][21][22][23] The elementary modes are…”

Section: R Banerjee and P Mukherjeementioning

confidence: 99%

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PT symmetry and a dynamical realization of the SU(1, 1) algebra

Banerjee

Mukherjee²

2016

Mod. Phys. Lett. A

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We show that the elementary modes of the planar harmonic oscillator can be quantized in the framework of quantum mechanics based on pseudo-hermitian Hamiltonians. These quantized modes are demonstrated to act as dynamical structures behind a new Jordan-Schwinger realization of the SU(1, 1) algebra. This analysis complements the conventional Jordan-Schwinger construction of the SU(2) algebra based on hermitian Hamiltonians of a doublet of oscillators.Traditionally quantum mechanics was formulated with hermitian Hamiltonians which ensures real eigenvalues, unitarity, etc. which are the expected attributes of a physically meaningful theory. The observation that non-hermitian operators may also have real eigenvalues was not considered very important in quantum theory. The situation has been drastically altered over the last decade or so. Now we definitely know that consistent quantization is possible with non-hermitian Hamiltonians if the theory is P T symmetric. 1,2 The corresponding Hamiltonians satisfy η −1 H † η = H, where η = P T . a Such operators will henceforth be called η-hermitian. P T symmetric theories are not only of theoretical interest now a days; such theories have been identified in experimental systems in diverse fields e.g. in superconductivity, quantum optics etc. 3 Naturally, study of P T symmetric theories has occupied a However, there exist more general types of complex Hamiltonians which may have real eigenvalues. 1650028-1 Mod. Phys. Lett. A 2016.31. Downloaded from www.worldscientific.com by NEW YORK UNIVERSITY on 06/29/16. For personal use only.

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Section: R Banerjee and P Mukherjeementioning

confidence: 99%

“…From the symplectic structure (19) it is evident that −2iωx 2 is the conjugate momentum to x 1 . Now consider the canonical transformation to (x + , p + ), where…”

Section: R Banerjee and P Mukherjeementioning

confidence: 99%

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PT symmetry and a dynamical realization of the SU(1, 1) algebra

Banerjee

Mukherjee²

2016

Mod. Phys. Lett. A

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“…Moreover, in Refs. [43,44] it is shown that the MCS-Proca model describes a topological mass mix with two massive degrees of freedom, with masses √ b 2 + m 2 ± |b|. According to the GU method, we consider the constraint (4) as the first-class constraint (fcc) and the remaining constraint (3) as the corresponding canonical gauge condition.…”

Section: The Mcs-proca Modelmentioning

confidence: 99%

“…The generalized MCS-Podolsky model [38,41] is a such theory and was introduced in order to smooth ultraviolet singularities. Starting from the observation that the study of Einstein-Chern-Simons-Proca massive gravity (ECSPMG) (the Lagrangian of ECSPMG is the sum of the Einstein, (third derivative order) CS and Procalike mass terms) [42] is often accompanied [39,40,43] by the analysis of the MCS-Proca model (a non-higher derivative model) [37,38,[43][44][45], we consider a model described by Lagrangian action containing the Maxwell term, a higher derivative extension of the CS topological invariant [36], and a Proca mass term…”

Section: Introductionmentioning

confidence: 99%

A first-class approach of higher derivative Maxwell–Chern–Simons–Proca model

Sararu

2015

Eur. Phys. J. C

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3D dualities and supersymmetry enhancement from domain walls

Roček

Roumpedakis

Seifnashri

2019

J. High Energ. Phys.

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We test recently proposed IR dualities and supersymmetry enhancement by studying the supersymmetry on domain walls. In the SU (3) Wess-Zumino model studied in [1,2], we show that domain walls exhibit supersymmetry enhancement. This model was conjectured to be dual to an N = 2 abelian gauge theory. We show that domain walls on the gauge theory side are consistent with the proposed duality, as they are described by the same effective theory on the wall. In [3], a third model was conjectured to be dual to the same IR theory. We study the phases and domain walls of this model and we show that they also agree. We then consider the analogous SU (5) Wess-Zumino model, and study its mass deformations and phases. We argue that even though one might expect supersymmetry enhancement in this model as well, the analysis of its domain walls shows that there is none. Finally, we study the N = 2 model in [4] which was conjectured to have N = 4 supersymmetry in the IR. In this case we don't see the supersymmetry enhancement on the domain wall; however, we argue that half-BPS domain walls of the N = 2 algebra are quarter-BPS of the N = 4 algebra. This is then in agreement with the conjectured enhancement, even though it does not show that it takes place.

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Self-dual models and mass generation in planar field theory

Cited by 16 publications

References 24 publications

PT symmetry and a dynamical realization of the SU(1, 1) algebra

PT symmetry and a dynamical realization of the SU(1, 1) algebra

A first-class approach of higher derivative Maxwell–Chern–Simons–Proca model

3D dualities and supersymmetry enhancement from domain walls

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