scholarly journals Higher-spin currents and thermal flux from Hawking radiation

2007 ◽  
Vol 75 (12) ◽  
Author(s):  
Satoshi Iso ◽  
Takeshi Morita ◽  
Hiroshi Umetsu
Keyword(s):  
Hawking Radiation ◽  
Thermal Flux ◽  
Spin Currents ◽  
Higher Spin

scholarly journals Higher spin currents with manifest SO(4) symmetry in the large 𝒩 = 4 holography

2018 ◽  
Vol 33 (35) ◽  
pp. 1850208 ◽  
Author(s):  
Changhyun Ahn
Keyword(s):  
Structure Constant ◽  
Operator Product ◽  
Young Tableaux ◽  
Coupling Constant ◽  
Hooft Coupling ◽  
Spin Currents ◽  
Almost Complex Structures ◽  
Almost Complex ◽  
Higher Spin ◽  
Multiple Product

The large [Formula: see text] nonlinear superconformal algebra is generated by six spin-[Formula: see text] currents, four spin-[Formula: see text] currents and one spin-[Formula: see text] current. The simplest extension of these [Formula: see text] currents is described by the [Formula: see text] higher spin currents of spins [Formula: see text]. In this paper, by using the defining operator product expansions (OPEs) between the [Formula: see text] currents and [Formula: see text] higher spin currents, we determine the [Formula: see text] higher spin currents (the higher spin-[Formula: see text] currents were found previously) in terms of affine Kac–Moody spin-[Formula: see text], one currents in the Wolf space coset model completely. An antisymmetric second rank tensor, three antisymmetric almost complex structures or the structure constant are contracted with the multiple product of spin-[Formula: see text] currents. The eigenvalues are computed for coset representations containing at most four boxes, at finite [Formula: see text] and [Formula: see text]. After calculating the eigenvalues of the zeromode of the higher spin-[Formula: see text] current acting on the higher representations up to three (or four) boxes of Young tableaux in [Formula: see text] in the Wolf space coset, we obtain the corresponding three-point functions with two scalar operators at finite [Formula: see text]. Furthermore, under the large [Formula: see text] ’t Hooft-like limit, the eigenvalues associated with any boxes of Young tableaux are obtained and the corresponding three-point functions are written in terms of the ’t Hooft coupling constant in simple form in addition to the two-point functions of scalars and the number of boxes.

scholarly journals HAWKING RADIATION, GRAVITATIONAL ANOMALY, AND CONFORMAL SYMMETRY — THE ORIGIN OF UNIVERSALITY

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2082-2090 ◽  
Author(s):  
SATOSHI ISO
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Conformal Transformation ◽  
Conformal Symmetry ◽  
Black Hole Horizon ◽  
Gravitational Anomaly ◽  
Universal Behavior ◽  
Higher Spin ◽  
Matter Fields ◽  
Conformal Symmetries

The universal behavior of Hawking radiation is originated in the conformal symmetries of matter fields near the black hole horizon. We explain the origin of this universality based on (1) the gravitational anomaly and its higher-spin generalizations and (2) conformal transformation properties of fluxes.

scholarly journals Higher spin currents in Wolf space for generic N

2014 ◽  
Vol 2014 (12) ◽  
Author(s):  
Changhyun Ahn ◽  
Hyunsu Kim
Keyword(s):  
Spin Currents ◽  
Higher Spin
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