Holomorphic waves of black hole microstructure

Journal Article · Fri Feb 28 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2020)192· OSTI ID:1802238

Heidmann, Pierre ^[1]; Mayerson, Daniel R. ^[2]; Walker, Robert ^[3]; Warner, Nicholas P. ^[4]

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1. Univ. Paris-Saclay, Gif-sur-Yvette (France). Institut de Physique Theorique; Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
2. Univ. Paris-Saclay, Gif-sur-Yvette (France). Institut de Physique Theorique
3. Univ. Paris-Saclay, Gif-sur-Yvette (France). Institut de Physique Theorique; Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
4. Univ. Paris-Saclay, Gif-sur-Yvette (France). Institut de Physique Theorique; Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy; Univ. of Southern California, Los Angeles, CA (United States). Dept. of Mathematics

We obtain the largest families constructed to date of$$$$ \frac{1}{8} $$$$ $\frac{1}{8}$-BPS solutions of type IIB supergravity. They have the same charges and mass as supersymmetric D1-D5-P black holes, but they cap off smoothly with no horizon. Their construction relies on the structure of superstratum states, but allows the momentum wave to have an arbitrary shape. Each family is based on an arbitrary holomorphic function of one variable. More broadly, we show that the most general solution is described by two arbitrary holomorphic functions of three variables. After exhibiting several new families of such “holomorphic superstrata,” we reformulate the BPS backgrounds and equations in holomorphic form and show how this simplifies their structure. The holomorphic formulation is thus both a fundamental part of superstrata as well as an effective tool for their construction. In addition, we demonstrate that holomorphy provides a powerful tool in establishing the smoothness of our solutions without constraining the underlying functions. We also exhibit new families of solutions in which the momentum waves of the superstrata are highly localized at infinity but diffuse and spread into the infra-red limit in the core of the superstratum. Our work also leads to some results that can be tested within the dual CFT.

• Research Organization: Univ. of Southern California, Los Angeles, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0011687
• OSTI ID: 1802238
• Journal Information: Journal of High Energy Physics (Online), Vol. 2020, Issue 2; ISSN 1029-8479
• Publisher: Springer Berlin
• Country of Publication: United States
• Language: English

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