A note on the TsT gradient flow in the presence of a background proton

M.-C. Y. Kim, S.-T. Sung
Comments: 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.