Null fields realizations of W3 from W(sl(4), sl(3)) and W(sl(3|1), sl(3)) algebras

Tiwari

2010

J. High Energ. Phys.

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...

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

Thermodynamic geometry and Hawking radiation

Tiwari

2010

J. High Energ. Phys.

“…One of the possible ways to construct the realizations of W algebras is the conformal linearization procedure [2,3,4,5,6]. The main idea of this approach is to embed the nonlinear W algebra as a subalgebra in some linear conformal algebra W lin .…”

Section: Introductionmentioning

confidence: 99%

“…In [6] we constructed explicitly the nonlinear algebras W (sl(4), sl(3)), W (sl(3|1), sl(3)) and obtained their realizations in terms of currents spanning the corresponding linearizing conformal algebras. The specific structure of these algebras allowed us to construct realizations -modulo null fields -of the W 3 algebra that lies in the cosets W (sl(4), sl(3))/u(1) and W (sl(3|1), sl(3))/u (1).…”

Section: Introductionmentioning

confidence: 99%

The W(sl(N + 3),sl(3)) algebras and their contractions to W3

Krivonos²,

Сорин³

1997

Physics Letters B

Self Cite

We construct the nonlinear W (sl(N + 3), sl(3)) algebras and find the spectrum of values of the central charge that gives rise, by contracting the W (sl(N + 3), sl(3)) algebras, to a W 3 algebra belonging to the coset W ((sl(N + 3), sl(3))/(u(1) ⊕ sl(N)). Part of the spectrum was conjectured before, but part of it is given here for the first time. Using the tool of embedding the W (sl(N + 3), sl(3)) algebras into linearizing algebras, we construct new realizations of W 3 modulo null fields. The possibility to predict, within the conformal linearization framework, the central charge spectrum for minimal models of the nonlinear W (sl(N + 3), sl(3)) algebras is discussed at the end.September 1996 * Dedicated to the memory of Victor I. Ogievetsky, as the expression of our respectful admiration and deep sorrow.†

“…Also, the question of the dynamics of a superstring propagating in AdS 4 , with the OSp(1, 4) supersymmetry group, deserves further study, within a geometrical framework, especially in connection with the underlying algebraic structure of the W -algebra extension of two-dimensional conformal symmetry (see, e.g. [18][19][20][21]). …”

Section: Introductionmentioning

confidence: 99%

Effective gravity andOSp(N,4)-invariant matter

1998

Phys. Rev. D

We re-examine the OSp(N, 4) invariant interacting model of massless chiral and gauge superfields, whose superconformal invariance was instrumental, both in proving the all-order no-renormalization of the mass and chiral self-interaction lagrangians, and in determining the linear superfield renormalization needed. We show that the renormalization of the gravitational action modifies only the cosmological term, without affecting higher-order tensors. This could explain why the effect of the cosmological constant is shadowed by the effects of newtonian gravity.