TY - JOUR

T1 - Higher-n triangular dilatonic black holes

AU - Zadora, Anton

AU - Gal'tsov, Dmitri V.

AU - Chen, Chiang Mei

N1 - Publisher Copyright:
© 2018 The Authors

PY - 2018/4/10

Y1 - 2018/4/10

N2 - Dilaton gravity with the form fields is known to possess dyon solutions with two horizons for the discrete “triangular” values of the dilaton coupling constant a=n(n+1)/2. This sequence first obtained numerically and then explained analytically as consequence of the regularity of the dilaton, should have some higher-dimensional and/or group theoretical origin. Meanwhile, this origin was explained earlier only for n=1,2 in which cases the solutions were known analytically. We extend this explanation to n=3,5 presenting analytical triangular solutions for the theory with different dilaton couplings a,b in electric and magnetic sectors in which case the quantization condition reads ab=n(n+1)/2. The solutions are derived via the Toda chains for B2 and G2 Lie algebras. They are found in the closed form in general D space–time dimensions. Solutions satisfy the entropy product rules indicating on the microscopic origin of their entropy and have negative binding energy in the extremal case.

AB - Dilaton gravity with the form fields is known to possess dyon solutions with two horizons for the discrete “triangular” values of the dilaton coupling constant a=n(n+1)/2. This sequence first obtained numerically and then explained analytically as consequence of the regularity of the dilaton, should have some higher-dimensional and/or group theoretical origin. Meanwhile, this origin was explained earlier only for n=1,2 in which cases the solutions were known analytically. We extend this explanation to n=3,5 presenting analytical triangular solutions for the theory with different dilaton couplings a,b in electric and magnetic sectors in which case the quantization condition reads ab=n(n+1)/2. The solutions are derived via the Toda chains for B2 and G2 Lie algebras. They are found in the closed form in general D space–time dimensions. Solutions satisfy the entropy product rules indicating on the microscopic origin of their entropy and have negative binding energy in the extremal case.

UR - http://www.scopus.com/inward/record.url?scp=85044627194&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2018.02.017

DO - 10.1016/j.physletb.2018.02.017

M3 - 期刊論文

AN - SCOPUS:85044627194

SN - 0370-2693

VL - 779

SP - 249

EP - 256

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -