The extended entanglement entropy of the type II superstring is computed in thermo field dynamics; its quantum-fluctuation part is UV finite below the Hagedorn temperature, and the Hagedorn divergence comes entirely from thermal fluctuations.
Exactly Solvable Model of Superstring in Plane-wave Background with Linear Null Dilaton
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abstract
In this paper, we study an exactly solvable model of IIB superstring in a time-dependent plane-wave backgound with a constant self-dual Ramond-Ramond 5-form field strength and a linear dilaton in the light-like direction. This background keeps sixteen supersymmetries. In the light-cone gauge, the action is described by the two-dimensional free bosons and fermions with time-dependent masses. The model could be canonically quantized and its Hamiltonian is time-dependent with vanishing zero point energy. The spectrum of the excitations is symmetric between the bosonic and fermionic sector. The string mode creation turns out to be very small.
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Superstring entanglement at finite temperature and its Hagedorn behavior
The extended entanglement entropy of the type II superstring is computed in thermo field dynamics; its quantum-fluctuation part is UV finite below the Hagedorn temperature, and the Hagedorn divergence comes entirely from thermal fluctuations.