We study N = 4 super Yang-Mills theories on a three-sphere with two types of chemical potential. One is associated with the R-symmetry and the other with the rotational symmetry of S 3 (SO(4) symmetry). These correspond to charged Kerr-AdS black holes via AdS/CFT. The exact partition functions at zero coupling are computed and the thermodynamical properties are studied. We find a nontrivial gap between the confinement/deconfinement transition line and the boundary of the phase diagram when we include more than four chemical potentials. In dual gravity, we find such a gap in the phase diagram by studying the thermodynamics of the charged Kerr-AdS black hole. This shows that the qualitative phase structures agree between both theories. We also find that the ratio between the thermodynamical quantities is close to well-known factor of 3/4 even at low temperatures. 1
Background/Aim: Bone and soft-tissue sarcomas of the head and neck have very poor prognoses. This prospective study aimed to investigate the efficacy and safety of carbon-ion radiotherapy (C-ion RT) for bone and softtissue sarcoma of the head and neck. Patients and Methods: The present study was a prospective clinical study that included 10 consecutive patients diagnosed with bone and soft-tissue sarcoma of the head and neck who were treated with C-ion RT between 2012 and 2018 at our institution. C-Ion RT consisted of 70.4 Gy (relative biological effectiveness) in 16 fractions. Results: The 3-year local control, overall survival, and progression-free survival rates for patients overall were 72. 9%, 77.8%, and 36%, respectively. Conclusion: The present study demonstrated the efficacy of C-ion RT for bone and soft-tissue sarcoma of the head and neck; adverse events were within the expected range.
We investigate the radial part of the charged massive Klein-Gordon equation in Kerr-Newman spacetime, and in several specific situations, obtain exact solutions by means of essentially hypergeometric functions or their confluent types. Using these global solutions and generally obtained local solutions, we calculate a sort of intensity of the collision of two field excitations, which is a slight generalization of the trace of the stress tensor. We find that when the black hole is nonextremal, the intensity of the collision of two ingoing modes is bounded. However, in the extremal limit, more precisely κ H → 0, the upper bound grows so that when the frequency of one of the two modes satisfies the critical relation, the intensity of the collision at the horizon becomes unboundedly large. Furthermore, the intensity of the collision of ingoing and outgoing modes is always unbounded, as well as in the classical particle theory. Our results suggest that the BSW effect is inherited by the quantum theory. *
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