scholarly journals Fermions in a Reissner–Nordström–anti-de Sitter black hole background and N = 4 supersymmetry with nontrivial topological charges

2014 ◽  
Vol 29 (25) ◽  
pp. 1450131 ◽  
Author(s):  
V. K. Oikonomou
Keyword(s):  
Black Hole ◽  
Extended Supersymmetry ◽  
Chiral Limit ◽  
Central Charge ◽  
De Sitter ◽  
One Dimensional ◽  
Black Hole Background ◽  
Witten Index ◽  
Topological Charges

We demonstrate that the fermions in Reissner–Nordström–anti-de Sitter black hole background in the chiral limit m = 0, are related to an N = 4 extended one-dimensional supersymmetry with nontrivial topological charges. We also show that the N = 4 extended supersymmetry is unbroken and we extend the two N = 2 one-dimensional supersymmetries that the system also possesses, to have a trivial central charge. The implications of the trivial central charge on the Witten index are also discussed.

scholarly journals ONE-DIMENSIONAL SUPERSYMMETRIC ALGEBRAS IN COLOR SUPERCONDUCTORS AND REISSNER–NORDSTRÖM–ANTI-DE SITTER GRAVITATIONAL SYSTEMS

2013 ◽  
Vol 28 (19) ◽  
pp. 1350090 ◽  
Author(s):  
V. K. OIKONOMOU
Keyword(s):  
Chiral Limit ◽  
Central Charge ◽  
Quasinormal Modes ◽  
Dirac Fermion ◽  
De Sitter ◽  
Gravitational Systems ◽  
Witten Index ◽  
Sitter Background ◽  
Color Superconductor ◽  
Supersymmetric Structure

We study two fermionic systems that have an underlying supersymmetric structure, namely a color superconductor and Dirac fermion in a Reissner–Nordström–anti-de Sitter gravitational background. In the chiral limit of the color superconductor, the localized fermionic zero modes around the vortex form an N = 2 with zero central charge d = 1 quantum algebra, with all the operators being Fredholm. We compute the Witten index of this algebra and we find an unbroken supersymmetry. The fermionic gravitational system in the chiral limit too, has two underlying unbroken N = 2, d = 1 supersymmetric algebras. The unbroken supersymmetry in the later is guaranteed by the existence of fermionic quasinormal modes in the Reissner–Nordström–anti-de Sitter background. In this case the operators are not Fredholm and regularized indices are deployed.

Various types of holographic metal/superconductor phase transitions with dark matter sector

2016 ◽  
Vol 26 (06) ◽  
pp. 1750046
Author(s):  
Yan Peng ◽  
Tao Chen ◽  
Guohua Liu ◽  
Pengwei Ma
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Dark Matter ◽  
Phase Transitions ◽  
Transition Temperature ◽  
De Sitter ◽  
Holographic Superconductor ◽  
Black Hole Background ◽  
Critical Phase ◽  
Matter Sector

We generalize the holographic superconductor model with dark matter sector by including the Stückelberg mechanism in the four-dimensional anti-de Sitter (AdS) black hole background away from the probe limit. We study effects of the dark matter sector on the [Formula: see text]-wave scalar condensation and find that the dark matter sector affects the critical phase transition temperature and also the order of phase transitions. At last, we conclude that the dark matter sector brings richer physics in this general metal/superconductor system.

scholarly journals A NEAR HORIZON CFT DUAL FOR KERR–NEWMAN AdS

2011 ◽  
Vol 26 (18) ◽  
pp. 3077-3090 ◽  
Author(s):  
BRADLY K. BUTTON ◽  
LEO RODRIGUEZ ◽  
CATHERINE A. WHITING ◽  
TUNA YILDIRIM
Keyword(s):  
Black Hole ◽  
Energy Momentum Tensor ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Momentum Tensor ◽  
Two Dimensional ◽  
S Wave ◽  
One Dimensional ◽  
Conformal Field ◽  
Asymptotic Symmetries

We show that the near horizon regime of a Kerr–Newman AdS (KNAdS) black hole, given by its two-dimensional analogue a là Robinson and Wilczek (Phys. Rev. Lett.95, 011303 (2005)), is asymptotically AdS2 and dual to a one-dimensional quantum conformal field theory (CFT). The s-wave contribution of the resulting CFT's energy–momentum tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein–Hawking entropy via Cardy's formula. Our derived central charge also agrees with the near extremal Kerr/CFT correspondence (Phys. Rev. D80, 124008 (2009)) in the appropriate limits. We also compute the Hawking temperature of the KNAdS black hole by coupling its Robinson and Wilczek two-dimensional analogue (RW2DA) to conformal matter.

scholarly journals STRING SCATTERING OFF THE (2 + 1)-DIMENSIONAL ROTATING BLACK HOLE

1996 ◽  
Vol 11 (18) ◽  
pp. 1467-1473 ◽  
Author(s):  
MAKOTO NATSUUME ◽  
NORISUKE SAKAI ◽  
MASAMICHI SATO
Keyword(s):  
Black Hole ◽  
De Sitter Space ◽  
Hawking Temperature ◽  
Bogoliubov Transformation ◽  
De Sitter ◽  
Rotating Black Hole ◽  
Black Hole Background ◽  
Dimensional Black Hole

The SL (2, R)/Z WZW orbifold which describes the (2+1)-dimensional black hole approaching anti-de Sitter space asymptotically. We study the 1 → 1 tachyon scattering off the rotating black hole background and calculate the Hawking temperature using the Bogoliubov transformation.

scholarly journals From the Schwarzschild Anti-de Sitter Black Hole to the Conformal Field Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Akram Sadat Sefiedgar
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Central Charge ◽  
High Energy ◽  
De Sitter ◽  
Conformal Field ◽  
Verlinde Formula ◽  
Dimensional Spacetime ◽  
Very High Energy ◽  
High Energy Regime

The emergence of the quantum gravitational effects in a very high energy regime necessitates some corrections to the thermodynamics of black holes. In this letter, we investigate a possible modification to the thermodynamics of Schwarzschild anti-de Sitter (SAdS) black holes due to rainbow gravity model. Using the correspondence between a (d+1)-dimensional SAdS black hole and a conformal filed theory ind-dimensional spacetime, one may find the corrections to the Cardy-Verlinde formula from the modified thermodynamics of the black hole. Furthermore, we show that the corrected Cardy-Verlinde formula can also be derived by redefining the Virasoro operator and the central charge.

Extended Supersymmetric Structures in Gapped and Superconducting Graphene

2015 ◽  
Vol 12 (10) ◽  
pp. 1550114 ◽  
Author(s):  
V. K. Oikonomou
Keyword(s):  
Domain Wall ◽  
Quantum Field ◽  
Exact Form ◽  
Gapped Graphene ◽  
One Dimensional ◽  
Witten Index ◽  
Associated Operators ◽  
The Many ◽  
Localized Fermions ◽  
Topological Charges

In view of the many quantum field theoretical descriptions of graphene in 2 + 1 dimensions, we present another field theoretical feature of graphene, in the presence of defects. Particularly, we shall be interested in gapped graphene in the presence of a domain wall and also for superconducting graphene in the presence of a vortex. As we explicitly demonstrate, the gapped graphene electrons that are localized on the domain wall are associated with four N = 2 one-dimensional supersymmetries, with each pair combining to form an extended N = 4 supersymmetry with non-trivial topological charges. The case of superconducting graphene is more involved, with the electrons localized on the vortex being associated with n one-dimensional supersymmetries, which in turn combine to form an N = 2n extended supersymmetry with non-trivial topological charges. As we shall prove, all supersymmetries are unbroken, a feature closely related to the number of the localized fermions and also to the exact form of the associated operators. In addition, the corresponding Witten index is invariant under compact and odd perturbations.

scholarly journals CFT dual of charged AdS black hole in the large dimension limit

2016 ◽  
Vol 25 (07) ◽  
pp. 1650085 ◽  
Author(s):  
Er-Dong Guo ◽  
Miao Li ◽  
Jia-Rui Sun
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Cross Sections ◽  
Central Charge ◽  
Conformal Symmetry ◽  
Large Dimension ◽  
Absorption Cross ◽  
De Sitter ◽  
Charged Scalar ◽  
Charged Scalar Field

We study the dual CFT description of the [Formula: see text]-dimensional Reissner–Nordström-Anti de Sitter (RN-AdS[Formula: see text]) black hole in the large dimension (large [Formula: see text]) limit, both for the extremal and nonextremal cases. The central charge of the dual CFT2 (or chiral CFT1) is calculated for the near-horizon near extremal geometry which possesses an AdS2 structure. Besides, the [Formula: see text]-picture hidden conformal symmetry in the nonextremal background can be naturally obtained by a probe charged scalar field in the large [Formula: see text] limit, without the need to input the usual limits to probe the hidden conformal symmetry. Furthermore, a new dual CFT description of the nonextremal RN-AdS[Formula: see text] black hole is found in the large [Formula: see text] limit and the duality is analyzed by comparing the entropies, the absorption cross-sections and the retarded Green’s functions obtained both from the gravity and the dual CFT sides.

scholarly journals QUANTUM FIELDS IN SCHWARZSCHILD–DE SITTER SPACE

1998 ◽  
Vol 07 (06) ◽  
pp. 887-907 ◽  
Author(s):  
ZHONG CHAO WU
Keyword(s):  
Black Hole ◽  
Mass Parameter ◽  
Primordial Black Hole ◽  
De Sitter ◽  
Gravitational Instanton ◽  
Boundary State ◽  
Spinor Fields ◽  
Black Hole Background ◽  
Constrained Gravitational Instanton ◽  
Sitter Background

In the No-Boundary Universe a primordial black hole is created from a constrained gravitational instanton. The black hole created is immersed in the de Sitter background with a positive cosmological constant. The constrained instanton is characterized not only by the external parameters, the mass parameter, charge and angular momentum, but also by one more internal parameter, the identification period in the imaginary time coordinate. Although the period has no effect on the black hole background, its inverse is the temperature of the no-boundary state of the perturbation modes perceived by an observer. By using the Bogoliubov transformation, we show that the perturbation modes of both scalar and spinor fields are in thermal equilibrium with the black hole background at the arbitrary temperature. However, for the two extreme cases, the de Sitter and the Nariai models, the no-boundary state remains pure.

scholarly journals STATISTICAL ENTROPY OF THE SCHWARZSCHILD BLACK HOLE

2006 ◽  
Vol 21 (24) ◽  
pp. 1879-1887 ◽  
Author(s):  
MARIANO CADONI
Keyword(s):  
Black Hole ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Symmetry Algebra ◽  
Energy Tensor ◽  
De Sitter ◽  
Statistical Entropy ◽  
Schwarzschild Black Hole ◽  
Null Infinity ◽  
Weyl Invariance

We derive the statistical entropy of the Schwarzschild black hole by considering the asymptotic symmetry algebra near the [Formula: see text] boundary of the spacetime at past null infinity. Using a two-dimensional description and the Weyl invariance of black hole thermodynamics this symmetry algebra can be mapped into the Virasoro algebra generating asymptotic symmetries of anti-de Sitter spacetime. Using Lagrangian methods we identify the stress–energy tensor of the boundary conformal field theory and calculate the central charge of the Virasoro algebra. The Bekenstein–Hawking result for the black hole entropy is regained using Cardy's formula. Our result strongly supports a nonlocal realization of the holographic principle.

scholarly journals Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Rachel A. Rosen ◽  
Luca Santoni
Keyword(s):  
Black Hole ◽  
Explicit Form ◽  
Equations Of Motion ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Black Hole Background ◽  
Massless Spin ◽  
Higher Dimensional ◽  
Massless Fields

Abstract We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schrödinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number L = 1 in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes.

Sign in / Sign up

Export Citation Format

Share Document