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arXiv · hep-th/9302109

Charge Quantization of Axion-Dilaton Black Holes

Renata Kallosh·Tomas Ortin
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Abstract

We present axion-dilaton black-hole and multi-black-hole solutions of the low-energy string effective action. Under $SL(2,R)$ 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 $SL(2,R)$ but only under $SL(2,Z)$ or one of its subgroups $Γ_{l}$. Because of their transformation properties, the asymptotic value of the axion-dilaton field of a black hole may be associated with the modular parameter $τ$ of some complex torus and the integer numbers $(n,m)$ that label its quantized electric and magnetic charges may be associated with winding numbers.

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Renata Kallosh, Tomas Ortin. 1993-02-23. Charge Quantization of Axion-Dilaton Black Holes. https://doi.org/10.1103/physrevd.48.742

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