Submissions from Vladimir N. Kravchuk
- [1] faKiv:2404.07663 [pdf]
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Black holes and the double copyComments: 27 pages, 2 figures
We investigate the double copy problem in the vicinity of a black hole for the first time. We prove explicitly that, if the Schwarzschild black hole is coupled to a graviton field, it is a black hole with a degenerate contribution to the force acting on the graviton. In this case, the Schwarzschild black hole is treated similarly to the double copy of a asymptotically flat black hole with a fermion field. We also show that, if the Schwarzschild black hole is coupled to a graviton field, its Schwarzschild black hole is a black hole with a degenerate contribution to the field force.
- [2] faKiv:2404.08173 [pdf]
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Symmetric $\mathcal{N}=4$ supergravity in the presence of a scalar fieldComments: 12 pages, 3 figures
We study $\mathcal{N}=4$ supergravity in the presence of a scalar field. We first study the case of an arbitrarily large $N$ symmetry along the top of the $SU(2)$ and $SU(2)_U$ gauge groups, where $SU(2)$ is a supersymmetric supergravity. Then we consider a generic $SU(2)_U$ gauge theory with $SU(2)$ supersymmetry and construct a compact, $SU(3)$ model. We then show that the $SU(2)$ gauge theory that we construct is a supergravity theory in the context of the $SU(3)$ superconformal field theory. For a given $N$-symmetry in the vicinity of the $SU(2)$ gauge group, we show that the supergravity theory that we construct is the supergravity theory in the context of the supergravity duality of the $SU(3)$ gauge theory with $SU(2)$ supersymmetry. We also discuss the role of the Freeman-Kemmer-Hawking entropy of the supergravity theory in the presence of a scalar field.