A New Hat For The c=1 Matrix Model

By Michael R Douglas, I. Klebanov, D. Kutasov, J. Maldacena, E. Martinec, N. Seiberg. 2003

321 citations recorded by the source corpus.

We consider two dimensional supergravity coupled to $\hat c=1$ matter. This system can also be interpreted as noncritical type 0 string theory in a two dimensional target space. After reviewing and extending the traditional descriptions of this class of theories, we provide a matrix model description. The 0B theory is similar to the realization of two dimensional bosonic string theory via matrix quantum mechanics in an inverted harmonic oscillator potential; the difference is that we expand around a non-perturbatively stable vacuum, where the matrix eigenvalues are equally distributed on both sides of the potential. The 0A theory is described by a quiver matrix model.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5f947701c68f21f5079d108f44b90974a7ce093a

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. E. Witten
3. Marcos Mariño
4. A. Klemm
5. D. Stanford
6. G. Turiaci
7. D. Gaiotto
8. Mina Aganagic

In Nuclear and High Energy Physics

1. Marcos Mariño
2. C. Vafa
3. E. Witten
4. Mina Aganagic
5. Y. Nakayama
6. A. Klemm
7. D. Gaiotto
8. Sergei Gukov

Citations in the corpus

• A toy model for the AdS/CFT correspondence (2004, background): “This creates a hole deep in the Fermi sea, which corresponds to another type of D-brane state which was also described in the c = 1 matrix model and the boundary Liouville field theory in [7, 31].”
• A paradigm of open/closed duality Liouville D-branes and the Kontsevich model (2003, background): “1 For reviews, see [3, 4, 5, 6]. 2 A similar understanding is available for the double-scaled matrix models of c 0, 11, 12].”
• Liouville Field Theory — A decade after the revolution (2004, methodology): “The partition function for the super Liouville theory has been studied originally in [324], which is reviewed in [16].”
• JT gravity and the ensembles of random matrix theory (2019, result): “These two versions of the minimal string were related to matrix integrals in [115, 113, 116, 117], building in part on earlier work [95, 96, 97, 118, 119].”
• Topological Strings and Integrable Hierarchies (2003, background): “More recently there has been some study of non-critical superstring backgrounds (see, for example, [57]).”
• LSZ in LST (2004, unknown): “A generalization of this construction leads to a matrix model dual to two dimensional type 0 string theory [68,69].”
• Solving the Schwarzian via the conformal bootstrap (2017, methodology): “The momentum-eigenstate wavefunction is given by (z = e) [62][63]”