Charge quantization of axion - dilaton black holes

Feb, 1993
12 pages
Published in:
  • Phys.Rev.D 48 (1993) 742-747
e-Print:
Report number:
  • SU-ITP-93-3

Citations per year

1938196019822004202502468101214
Abstract:
We present axion-dilaton black-hole and multi-black-hole solutions of the low-energy string effective action. Under SL(2,R)SL(2,R) electric-magnetic duality rotations only the ``hair" (charges and asymptotic values of the fields) of our solutions is transformed. The functional form of the solutions is duality-invariant. Axion-dilaton black holes with zero entropy and zero area of the horizon form a family of stable particle-like objects, which we call {\it holons}. We study the quantization of the charges of these objects and its compatibility with duality symmetry. In general the spectrum of black-hole solutions with quantized charges is not invariant under SL(2,R)SL(2,R) but only under SL(2,Z)SL(2,Z) or one of its subgroups Γl\Gamma_{l}. Because of their transformation properties, the asymptotic value of the axion-dilaton field of a black hole may be associated with the modular parameter τ\tau of some complex torus and the integer numbers (n,m)(n,m) that label its quantized electric and magnetic charges may be associated with winding numbers.
  • black hole: dilaton
  • black hole: axion
  • dimension: 4
  • effective action: string
  • energy: low
  • symmetry: SL(2,R)
  • duality: electromagnetic
  • black hole: hair
  • charge: quantization