About

TBA

Education

Ph.D. in Physics, University of the Witwatersrand, 2018.

M.Sc. in Mathematics, Kwame Nkrumah University of Science and Technology, 2010.

B.Sc. in Mathematics, Kwame Nkrumah University of Science and Technology, 2006.

Research Interest

Advances in gauge theory/gravity dualities offer new insights into black hole microstates. Early work reproduced black hole entropy for supersymmetric cases, but recent breakthroughs focus on \(\frac{1}{16}\)-BPS black holes in \(\mathrm{AdS}_{5} \times S^{5}\) background using supercharge cohomology. This method classifies BPS operators into two categories – ‘monotone’ and ‘fortuitous based on their scaling with the gauge group rank \(N\), providing a deeper understanding than previous index computations. Traditional large-\(N\) approaches, successful in planar limits, fail to address the complexity of black hole microstates, necessitating non-planar methods. Representation theory of the symmetric group and restricted Schur polynomials offer the proper framework for tackling this problem.  Specifically, exploring the basis of gauge theory operators provided by restricted Schur polynomials offers a promising language through which the black hole microstate problem can be approached.

Research Group(s): [Theoretical & Mathematical Physics]

Publications

Robert de Mello Koch, Minkyoo Kim, and Augustine Larweh Mahu. A pedagogical introduction to restricted Schur polynomials with applications to heavy operators. Int. J. Mod. Phys. A, 39(31):2430003, 2024, 2409.15751.

Robert de Mello Koch, Eunice Gandote, and Augustine Larweh Mahu. Scrambling in Yang-Mills. JHEP,01:058, 2021, 2008.12409.

Robert De Mello Koch, David Gossman, Nirina Hasina Tahiridimbisoa, and Augustine Larweh Mahu. Holography for Tensor models. Phys. Rev. D, 101(4):046004, 2020, 1910.13982.

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