scholarly journals Type 0A matrix model of a black hole, integrability, and holography

2005 ◽  
Vol 71 (8) ◽  
Author(s):  
Jaemo Park ◽  
Takao Suyama
Keyword(s):  
2015 ◽  
Vol 2015 (7) ◽  
Author(s):  
Sinya Aoki ◽  
Masanori Hanada ◽  
Norihiro Iizuka

2004 ◽  
Vol 2004 (02) ◽  
pp. 067-067 ◽  
Author(s):  
Ulf H Danielsson
Keyword(s):  

2007 ◽  
Vol 85 (6) ◽  
pp. 619-623
Author(s):  
M Rozali

We review the study of D-particles in the two-dimensional black-hole background, concentrating on aspects of the dynamics that are sensitive to the region behind the horizon. Surprisingly, the portion of the trajectory behind the horizon appears to an asymptotic observer as ghost D-particle. This suggests a way of constructing a matrix model for the Lorentzian black-hole background. PACS No.: 11.25.Uv


2006 ◽  
Vol 2006 (01) ◽  
pp. 039-039 ◽  
Author(s):  
Joanna L Karczmarek ◽  
Juan Maldacena ◽  
Andrew Strominger
Keyword(s):  

2002 ◽  
Vol 622 (1-2) ◽  
pp. 141-188 ◽  
Author(s):  
Vladimir Kazakov ◽  
Ivan K. Kostov ◽  
David Kutasov

2013 ◽  
Vol 30 (23) ◽  
pp. 235016 ◽  
Author(s):  
A Chaney ◽  
Lei Lu ◽  
A Stern

1993 ◽  
Vol 08 (14) ◽  
pp. 1331-1341 ◽  
Author(s):  
SUMIT R. DAS

We identify a quantity in the c = 1 matrix model which describes the wave function for physical scattering of a tachyon from a black hole of the two-dimensional critical string theory. At the semiclassical level this quantity corresponds to the usual picture of a wave coming in from infinity, part of which enters the black hole becoming singular at the singularity, while the rest is scattered back to infinity, with nothing emerging from the white hole. We find, however, that the exact non-perturbative wave function is non-singular at the singularity and appears to end up in the asymptotic region "behind" the singularity.


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Alejandro Cabo-Bizet ◽  
Sameer Murthy

Abstract We find a family of complex saddle-points at large N of the matrix model for the superconformal index of SU(N ) $$ \mathcal{N} $$ N = 4 super Yang-Mills theory on S3× S1 with one chemical potential τ . The saddle-point configurations are labelled by points (m, n) on the lattice Λτ = ℤτ + ℤ with gcd(m, n) = 1. The eigenvalues at a given saddle are uniformly distributed along a string winding (m, n) times along the (A, B) cycles of the torus ℂ/Λτ . The action of the matrix model extended to the torus is closely related to the Bloch-Wigner elliptic dilogarithm, and the related Bloch formula allows us to calculate the action at the saddle-points in terms of real-analytic Eisenstein series. The actions of (0, 1) and (1, 0) agree with that of pure AdS5 and the supersymmetric AdS5 black hole, respectively. The black hole saddle dominates the canonical ensemble when τ is close to the origin, and there are new saddles that dominate when τ approaches rational points. The extension of the action in terms of modular forms leads to a simple treatment of the Cardy-like limit τ → 0.


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