Nonlinear realizations of the W(2)3 algebra

Bellucci, Stefano; Gribanov, V.V.; Krivonos, S.; Pashnev, A.

doi:10.1016/0375-9601(94)90129-5

Cited by 2 publications

(2 citation statements)

References 16 publications

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“…Finally, let us remind that nonlinear realizations of 1D superconformal algebras and W algebras were previously considered from various points of view in a number of works, e.g. in [26,19], [27]- [29]. It is of interest to understand how these approaches are related with the one presented here.…”

Section: Discussionmentioning

confidence: 93%

Non-linear realizations of superconformal and W-algebras as embeddings of strings

Bellucci

Gribanov²,

Ivanov³

et al. 1998

Nuclear Physics B

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We propose a simple method for constructing representations of (super)conformal and nonlinear W -type algebras in terms of their subalgebras and corresponding Nambu-Goldstone fields. We apply it to N = 2 and N = 1 superconformal algebras and describe in this way various embeddings of strings and superstrings for which these algebras and their subalgebras define world-sheet symmetries. Besides reproducing the known examples, we present some new ones, in particular an embedding of the bosonic string with additional U(1) affine symmetry into N = 2 superstring. We also apply our method to the nonlinear W (2) 3algebra and demonstrate that the linearization procedure worked out for it some time ago gets a natural interpretation as a kind of string embedding. All these embeddings include the critical ones as particular cases. *

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Section: Discussionmentioning

confidence: 93%

Non-linear realizations of superconformal and W-algebras as embeddings of strings

Bellucci

Gribanov²,

Ivanov³

et al. 1998

Nuclear Physics B

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“…In the framework of W-infinity algebra [51], the Hawking radiation arising from a neutral black hole are realized via the trace anomaly consideration. The finite W -algebras, super algebras and their explicit field realizations have been considered from the perspective of the W -strings, affine currents and conformal realizations [52][53][54][55]. In this concern, it turns out that the present construction elucidates certain fundamental issues, such as statistical interactions and the stability of the underlying black hole configurations, with fluctuating mass and radiation frequency.…”

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confidence: 99%

Thermodynamic geometry and Hawking radiation

Bellucci

Tiwari

2010

J. High Energ. Phys.

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This work explores the role of thermodynamic fluctuations in the two parameter Hawking radiating black hole configurations. The system is characterized by an ensemble of arbitrary mass and radiation frequency of the black holes. In the due course of the Hawking radiations, we find that the intrinsic geometric description exhibits an intriguing set of exact pair correction functions and global correlation lengths. We investigate the nature of the constant amplitude radiation and find that it's not stable under fluctuations of the mass and frequency. Subsequently, the consideration of the York model decreasing amplitude radiation demonstrates that thermodynamic fluctuations are globally stable in the small frequency region. In connection with quantum gravity refinements, we take an account of the logarithmic correction into the constant amplitude and York amplitude over the Hawking radiation. In both considerations, we notice that the nature of the possible parametric fluctuations may precisely be ascertained without any approximation. In the frequency domain w ∈ (0, ∞), we observe that both the local and the global thermodynamic fluctuations of the radiation energy flux are stable in the s-channel. The intrinsic geometry exemplifies a definite stability character to the thermodynamic fluctuations, and up to finitely many topological defects on the parametric surface, the notion remains almost the same for both the constant amplitude and the York model. The Gaussian fluctuations over equilibrium radiation energy flux and fluctuating horizon configurations accomplish a well-defined, non-degenerate, curved and regular intrinsic Riemannian manifolds, for all the physically admissible domains of the radiation parameters.Since the Hawking's discovery of black hole radiation and quantum physics [1], many subsequent aspects of the semiclassical analysis [2] have been investigated. From the viewpoint of the semiclassical theory of gravity, the present study explores the limiting nature of two parameter Hawking radiating black holes from the perspective of fluctuation theory. Importantly, the present anticipation shares the notion of a very controversial issue, i.e. that of determining the role of arbitrarily large transplanckian frequencies of vacuum fluctuations [3-7] and the gravitational back reaction due to a specific quantum [8]. Besides the 'spontaneous' metric fluctuations, such a discussion takes an account of the fact that there exist induced metric fluctuations, generated by the fluctuations of the other quantum fields interacting with the gravitational one. In the regime where the induced metric fluctuations dominate, the problem of black hole fluctuations and back reaction is consistently described by (i) Schwinger-Keldysh effective stochastic semiclassical theory of gravity [9] and (ii) Feynman-Vernon influence functional methods [10,11]. Thus, the semiclassical approximation leads to the stochastic theory of gravity, extending Einstein equations to the generalized Einstein-Langevin equations. Such a stochasti...

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Nonlinear realizations of the W(2)3 algebra

Cited by 2 publications

References 16 publications

Non-linear realizations of superconformal and W-algebras as embeddings of strings

Non-linear realizations of superconformal and W-algebras as embeddings of strings

Thermodynamic geometry and Hawking radiation

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