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Phys. Rev. D 103, 026018 (2021)

Attractor mechanism and nonrenormalization theorem in 6D (1, 0) supergravity

Yi Pang1,2,*

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China

2 Mathematical Institute, University of Oxford, Woodstock Road, Oxford OX2 6GG, United Kingdom

pangyi1@tju.edu.cn

ABSTRACT

We compute the macroscopic entropy of the supersymmetric rotating dyonic strings carrying linear momentum in 6D (1, 0) supergravity with curvature squared corrections. Our calculation is based on Sen’s entropy function formalism applied to the near-horizon geometry of the string solution taking the form of an extremal Bañados-Teitelboim-Zanelli × S3. The final entropy formula states that the two independent supersymmetric completions of Riemann tensor squared contribute equally to the entropy. A further S3 compactification of the 6D theory results in a matter coupled 3D supergravity model in which the quantization condition of the SU(2)R Chern-Simons level implies the horizon value of the dilaton is not modified by higher derivative interactions beyond supersymmetric curvature squared terms.

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