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Mañas Baena, Manuel and Guha, Partha (1994) String equations for the unitary matrix model and the periodic flag manifold. Communications in mathematical physics, 161 (2). pp. 215232. ISSN 00103616

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Official URL: http://dx.doi.org/10.1007/BF02099775
URL  URL Type 

http://link.springer.com  Publisher 
http://arxiv.org/abs/hepth/9307016  Organisation 
Abstract
The periodic flag manifold (in the Sato Grassmannian context) description of the modified Kortewegde Vries hierarchy is used to analyse the translational and scaling selfsimilar solutions of this hierarchy. These solutions are characterized by the string equations appearing in the double scaling limit of the symmetric unitary matrix model with boundary terms. The moduli space is a double covering of the moduli space in the Sato Grassmannian for the corresponding selfsimilar solutions of the Kortewegde Vries hierarchy, i.e. of stable 2D quantum gravity. The potential modified Kortewegde Vries hierarchy, which can be described in terms of a line bundle over the periodic flag manifold, and its selfsimilar solutions corresponds to the symmetric unitary matrix model. Now, the moduli space is in onetoone correspondence with a subset of codimension one of the moduli space in the Sato Grassmannian corresponding to selfsimilar solutions of the Kortewegde Vries hierarchy.
Item Type:  Article 

Additional Information:  ©Springer. 
Uncontrolled Keywords:  2Dimensional quantumgravity; Geometry 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  32530 
Deposited On:  27 Jul 2015 09:43 
Last Modified:  10 Dec 2018 15:10 
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