Finite entanglement entropy in string theory
Abstract
We analyze the one-loop quantum entanglement entropy in ten-dimensional type-II string theory using the orbifold method by analytically continuing in N the genus-one partition function for string orbifolds on R2/ZN conical spaces known for all odd integers N >1 . We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region 0 <N ≤1 resulting in a finite and calculable answer for the entanglement entropy. We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.
- Publication:
-
Physical Review D
- Pub Date:
- June 2024
- DOI:
- 10.1103/PhysRevD.109.L121901
- arXiv:
- arXiv:2306.00990
- Bibcode:
- 2024PhRvD.109l1901D
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Mathematical Physics;
- Quantum Physics
- E-Print:
- 6 pages