Submissions from M.-C. Y. Kim
- [1] faKiv:2404.08508 [pdf]
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A note on the TsT gradient flow in the presence of a background protonComments: 15 pages, 11 figures
We study a case when the formalism of the TsT gradient flow (TGF) is extended to the presence of a proton. We first study the TGF flow in the background of a proton, and then we show that, when the proton is located in the direction in which the background proton is moving, the TGF flow can be compressed to the proton location. In this way, the proton is indirectly moved to the background proton. We study the TsT gradient flow in the presence of a proton in two different case: (i) When the proton is located in the direction of the proton's motion, and (ii) When the proton is located in the direction of the proton's motion, and we find that the proton is compressed to the proton location.
- [2] faKiv:2404.08769 [pdf]
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Conformal symmetry of the Pyromaniac modelsComments: 19 pages, 8 figures
A simple, non-linear form of the Pyromaniac models is presented and its conformal symmetry is studied. For a particular choice of the model parameters and a certain subset of the input parameters, a simple, non-linear form of the Pyromaniac models is presented and its conformal symmetry is analyzed. The conformal symmetry is determined by the input parameters including a few cases where the model parameters are non-linear and a few others where the model parameters are non-linear and the input parameters are non-linear. The resulting conformal symmetry is the exact solution of the equation of motion which was found in the previous work of the authors. The result is that the Pyromaniac models have conformal symmetry.