scholarly journals MASSIVE SPINNING PARTICLE ON ANTI-DE SITTER SPACE

1996 ◽  
Vol 11 (18) ◽  
pp. 3307-3329 ◽  
Author(s):  
S.M. KUZENKO ◽  
S.L. LYAKHOVICH ◽  
A. YU. SEGAL ◽  
A.A. SHARAPOV
Keyword(s):  
Configuration Space ◽  
Degrees Of Freedom ◽  
Massive Particle ◽  
De Sitter Space ◽  
Arbitrary Spin ◽  
Point Particle ◽  
Particle Model ◽  
De Sitter ◽  
Spinning Particle ◽  
Classical Counterpart

To describe a massive particle with fixed, but arbitrary, spin on d=4 anti-de Sitter space M4, we propose the point particle model with configuration space ℳ6=M4×S2, where the sphere S2 corresponds to the spin degrees of freedom. The model possesses two gauge symmetries expressing strong conservation of the phase space counterparts of the second and fourth order Casimir operators for so (3, 2). We prove that the requirement of energy to have a global positive minimum Eo over the configuration space is equivalent to the relation Eo>s, s being the particle’s spin, which presents the classical counterpart of the quantum massive condition. States with minimal energy are studied in detail. The model is shown to be exactly solvable. It can be straightforwardly generalized to describe a spinning particle on d-dimensional anti-de Sitter space Md, with ℳ2(d−1)=Md×S(d−2) the corresponding configuration space.

scholarly journals CONFORMAL INVARIANCE, N-EXTENDED SUPERSYMMETRY AND MASSLESS SPINNING PARTICLES IN ANTI-DE SITTER SPACE

1996 ◽  
Vol 11 (20) ◽  
pp. 1653-1664 ◽  
Author(s):  
S.M. KUZENKO ◽  
J.V. YAREVSKAYA
Keyword(s):  
Extended Supersymmetry ◽  
Conformal Invariance ◽  
De Sitter Space ◽  
Particle Model ◽  
Unusual Property ◽  
De Sitter ◽  
Dimensional Model ◽  
Spinning Particle ◽  
Flat Spacetime ◽  
Mechanics Model

Starting with a manifestly conformal (O(d, 2) invariant) mechanics model in d space and two time dimensions, we derive the action for a massless spinning particle in d-dimensional anti-de Sitter space. The action obtained possesses both gauge N-extended worldline supersymmetry and local O(N) invariance. Thus we improve the old statement by Howe et al. that the spinning particle model with extended worldline supersymmetry admits only flat spacetime background for N>2 (spin greater one). The original (d+2)-dimensional model is characterized by rather unusual property that the corresponding supersymmetry transformations do not commute with the conformal ones, in spite of the explicit O(d, 2) invariance of the action.

scholarly journals De Sitter entropy as holographic entanglement entropy

2021 ◽  
Author(s):  
Nikolaos Tetradis
Keyword(s):  
Effective Action ◽  
Degrees Of Freedom ◽  
Entanglement Entropy ◽  
De Sitter Space ◽  
Conformal Anomaly ◽  
Dual Theory ◽  
De Sitter ◽  
Logarithmic Corrections ◽  
Holographic Entanglement Entropy ◽  
Gravitational Entropy

We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a UV cutoff. When the entangling surface coincides with the horizon of the boundary metric, the entanglement entropy can be identified with the standard gravitational entropy of the space. For this to hold, the effective Newton's constant must be defined appropriately by absorbing the UV cutoff. Conversely, the UV cutoff can be expressed in terms of the effective Planck mass and the number of degrees of freedom of the dual theory. For de Sitter space, the entropy is equal to the Wald entropy for an effective action that includes the higher-curvature terms associated with the conformal anomaly. The entanglement entropy takes the expected form of the de Sitter entropy, including logarithmic corrections.

scholarly journals Particle creation in global de Sitter space: Bulk space consideration

2015 ◽  
Vol 24 (07) ◽  
pp. 1550052 ◽  
Author(s):  
M. Reza Tanhayi
Keyword(s):  
Plane Wave ◽  
Massive Particle ◽  
Particle Creation ◽  
Flat Space ◽  
De Sitter Space ◽  
Point Of View ◽  
Theoretical Point ◽  
De Sitter ◽  
Field Equations ◽  
Higher Spin

Recently in [P. R. Anderson and E. Mottola, Phys. Rev. D 89 (2014) 104039, arXiv:1310.1963 [gr-qc] and P. R. Anderson and E. Mottola, Phys. Rev. D 89 (2014) 104038, arXiv:1310.0030 [gr-qc].], it was shown that global de Sitter space is unstable even to the massive particle creation with no self-interactions. In this paper, we study the instability by making use of the coordinate-independent plane wave in de Sitter space. Within this formalism, we show that the previous results of instability of de Sitter space due to the particle creation can be generalized to higher-spin fields in a straightforward way. The so-called plane wave is defined globally in de Sitter space and de Sitter invariance is manifest since such modes are deduced from the group theoretical point of view by means of the Casimir operators. In fact, we employ the symmetry of embedding space namely the 4 + 1-dimensional flat space to write the field equations and the solutions can be obtained in terms of the plane wave in embedding space.

scholarly journals Four-dimensional de Sitter space is a Glauber-Sudarshan state in string theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suddhasattwa Brahma ◽  
Keshav Dasgupta ◽  
Radu Tatar
Keyword(s):  
String Theory ◽  
Coherent State ◽  
Degrees Of Freedom ◽  
Vacuum Energy ◽  
De Sitter Space ◽  
The Other ◽  
Quantum Corrections ◽  
De Sitter ◽  
Other Hand

Abstract We show that four-dimensional de Sitter space is a Glauber-Sudarshan state, i.e. a coherent state, over a supersymmetric solitonic background in full string theory. We argue that such a state is only realized in the presence of temporally varying degrees of freedom and after including quantum corrections, with supersymmetry being broken spontaneously. On the other hand, fluctuations over the resulting de Sitter space is governed by the Agarwal-Tara state, which is a graviton (and flux)-added coherent state. Once de Sitter space is realized as a coherent state, and not as a vacuum, its ability to remain out of the swampland as well as issues regarding its (meta)stability, vacuum energy, and finite entropy appear to have clear resolutions.

scholarly journals A UNIFORM MODEL OF THE MASSIVE SPINNING PARTICLE IN ANY DIMENSION

2000 ◽  
Vol 15 (27) ◽  
pp. 4287-4299 ◽  
Author(s):  
S. L. LYAKHOVICH ◽  
A. A. SHARAPOV ◽  
K. M. SHEKHTER
Keyword(s):  
General Model ◽  
Dimensional Space ◽  
Massive Particle ◽  
Arbitrary Spin ◽  
Space Time ◽  
Spinning Particle ◽  
Gravitational Fields ◽  
Dimensional Space Time ◽  
Uniform Model

The general model of an arbitrary spin massive particle in any dimensional space–time is derived on the basis of Kirillov–Kostant–Souriau approach. It is shown that the model allows consistent coupling to an arbitrary background of electromagnetic and gravitational fields.

FREE MASSLESS BOSONIC FIELDS OF ARBITRARY SPIN IN D-DIMENSIONAL DE SITTER SPACE

1988 ◽  
Vol 03 (03) ◽  
pp. 257-270 ◽  
Author(s):  
V.E. LOPATIN ◽  
M.A. VASILIEV
Keyword(s):  
Gravitational Interaction ◽  
Differential Forms ◽  
Compact Subgroup ◽  
De Sitter Space ◽  
Arbitrary Spin ◽  
Dimensional Case ◽  
De Sitter ◽  
Starting Point ◽  
Higher Spin ◽  
Spin Fields

Free massless bosonic fields of arbitrary spins s>1, corresponding to symmetric representations of SO(d−2) compact subgroup of the d-dimensional massless flat little group, are described in d-dimensional (anti-) de Sitter space in terms of differential forms. The formulation proposed is a generalization to arbitrary d≥4 of that suggested previously in the four dimensional case, which served in Refs. 1 and 2 as a starting point for introducing consistent gravitational interaction for all massless higher spin fields in d=4.

Sign in / Sign up

Export Citation Format

Share Document