TY - JOUR

T1 - Open strings on the Rindler horizon

AU - Witten, Edward

N1 - Funding Information:
I thank V. Rosenhaus, P. Sarnak, and especially A. Dabholkar for discussions concerning this topic. Research partially supported by NSF Grant PHY-1606531.
Publisher Copyright:
© 2019, The Author(s).

PY - 2019/1/1

Y1 - 2019/1/1

N2 - It has been proposed that a certain ℤN orbifold, analytically continued in N, can be used to describe the thermodynamics of Rindler space in string theory. In this paper, we attempt to implement this idea for the open-string sector. The most interesting result is that, although the orbifold is tachyonic for positive integer N, the tachyon seems to disappear after analytic continuation to the region that is appropriate for computing Tr ρN, where ρ is the density matrix of Rindler space and Re N> 1. Analytic continuation of the full orbifold conformal field theory remains a challenge, but we find some evidence that if such analytic continuation is possible, the resulting theory is a logarithmic conformal field theory, necessarily nonunitary.

AB - It has been proposed that a certain ℤN orbifold, analytically continued in N, can be used to describe the thermodynamics of Rindler space in string theory. In this paper, we attempt to implement this idea for the open-string sector. The most interesting result is that, although the orbifold is tachyonic for positive integer N, the tachyon seems to disappear after analytic continuation to the region that is appropriate for computing Tr ρN, where ρ is the density matrix of Rindler space and Re N> 1. Analytic continuation of the full orbifold conformal field theory remains a challenge, but we find some evidence that if such analytic continuation is possible, the resulting theory is a logarithmic conformal field theory, necessarily nonunitary.

KW - Black Holes in String Theory

KW - Superstrings and Heterotic Strings

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U2 - 10.1007/JHEP01(2019)126

DO - 10.1007/JHEP01(2019)126

M3 - Article

AN - SCOPUS:85060765223

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 126

ER -