A Matrix Model for the Two Dimensional Black Hole

By Vladimir Kazakov, I. Kostov, D. Kutasov. 2000

290 citations recorded by the source corpus.

We construct and study a matrix model that describes two dimensional string theory in the Euclidean black hole background. A conjecture of V. Fateev, A. and Al. Zamolodchikov, relating the black hole background to condensation of vortices (winding modes around Euclidean time) plays an important role in the construction. We use the matrix model to study quantum corrections to the thermodynamics of two dimensional black holes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0609be0a978fb0474bdf1fe40ce5ebcf1bbea516

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Y. Nakayama
2. Hirosi Ooguri
3. Mina Aganagic
4. Ashoke Sen
5. C. Vafa
6. A. Kapustin
7. O. Aharony
8. N. Saulina

In Nuclear and High Energy Physics

1. Marcos Mariño
2. E. Witten
3. C. Vafa
4. Y. Nakayama
5. N. Seiberg
6. Mina Aganagic
7. Hirosi Ooguri
8. F. Benini

Citations in the corpus

• Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings (2004, result): “The above expression is very reminiscent of the idea of [ 23 ]: The state h 1|”
• Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c = 1 Matrix Models (2009, background): “A natural boundary condition is to impose matching to the c = 1 solution, in the double-scaling limit [ 94 ].”
• The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension (2011, background): “genus graphs suppressed in powers of N . The 1/N series is crucial to the continuum limit of random matrix models and is at the core of their applications to confinement [12], string theory [13,14], two dimensional gravity [15], critical phenomena [3,16,17], black hole physics [ 18 ], etc.”
• LSZ in LST (2004, background): “The spectrum of massless states is indeed in one to one correspondence with states in the U(1)k−1 gauge theory with sixteen supercharges.”
• Phases of quantum gravity in AdS3 and linear dilaton backgrounds (2005, background): “Zamolodchikov, and is reviewed in [38]; see also [39] for a recent discussion.”
• Liouville Field Theory — A decade after the revolution (2004, background): “FZZ [219] and Kazakov-Kostov-Kutasov (KKK) [220] conjectured that the model is also equivalent to the sine-Liouville theory.”
• Microscopic formulation of black holes in string theory (2002, background): “In [226] a holographic description of the two dimensional black hole is proposed in terms of a quantum mechanical matrix model.”
• Duality of the Fermionic 2d Black Hole and N = 2 Liouville Theory as Mirror Symmetry (2001, background): “In particular, we show how to construct a variety of dilatonic superstring backgrounds which generalize the fermionic 2d Black Hole and admit a mirror description in terms of Toda-like theories.”
• The 1/N Expansion of Colored Tensor Models (2010, background): “They arise in the most diverse contexts, from the seminal work of ’t Hooft [1] on confinement, to string theory [2,3], two-dimensional gravity [4], critical phenomena [5–7], black hole physics [ 8 ], and the list goes on. The crucial feature of matrix models is their 1/N topological expansion [9].”