2019/08/03 by Leopoldo A. Pando Zayas, Yu Xin · 21 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Gauge theory #Genus #Lambda #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Quantum mechanics #Spectral index #Spectral line #Topological index #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1103/physrevd.100.126019
published in Physical review. D/Physical review. D. 100(12) (American Physical Society) · 30 pages, 14 figures, 6 tables
arxiv created 2019/08/03 · openalex created_date 2019/08/13 · openalex publication_date 2019/12/19 · arxiv updated 2019/12/25 · openalex updated_date 2026/08/05
We study the topologically twisted index of N=6 supersymmetric Chern-Simons matter theory with U(N)k\ifmmode×\else\texttimes\fiU(N)_\ensuremath-k gauge group in the 't Hooft limit, that is, for N,k\ensuremath→\ensuremath∞ with \ensuremathλ=N/k fixed. In the regime where \ensuremathλ is fixed and large we find an analytical expression for the leading order term of the index. The leading term of the index matches precisely the Bekenstein-Hawking entropy of the dual asymptotically AdS4 magnetically charged black holes embedded in IIA supergrvity on AdS4\ifmmode×\else\texttimes\fi\mathbbCP3, after a standard Legendre transformation. We numerically explore the genus expansion of the topologically twisteed index beyond the leading order, focusing on the genus one contribution, that is, N0. We find qualitative agreement with the topological expansion of the free energy on S3 at genus one. Our logarithmic in \ensuremathλ term constitutes a prediction for the one-loop effective action on the IIA supergravity side.