D-particles, Matrix Integrals and KP hierachy

نویسندگان

  • Vladimir A. Kazakov
  • Ivan K. Kostov
  • Nikita Nekrasov
چکیده

We derive the determinant representation and Hirota equations for the regularized correlation functions of the light-like coordinate operators ∼∏i Tr (X) li in the reductions to zero dimensions of the matrix models describing D-particles in various dimensions. We investigate in great detail the matrix model originally proposed by J. Hoppe and recently encountered in studies of D-particles in four dimensions. We also present a new derivation of the large N and double scaling limits of the one-matrix model with cubic potential.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

v 1 1 0 Ju n 20 05 CLASSICAL r - MATRICES AND COMPATIBLE POISSON STRUCTURES FOR LAX EQUATIONS ON POISSON ALGEBRAS

Given a classical r-matrix on a Poisson algebra, we show how to construct a natural family of compatible Poisson structures for the Hamiltonian formulation of Lax equations. Examples for which our formalism applies include the Benny hierachy, the dispersionless Toda lattice hierachy, the dispersionless KP and modified KP hierachies, the dispersionless Dym hierachy etc.

متن کامل

D-particles, matrix integrals and KP hierarchy

We study the regularized correlation functions of the light-like coordinate operators in the reduction to zero dimensions of the matrix model describing D-particles in four dimensions. We investigate in great detail the related matrix model originally proposed and solved in the planar limit by J. Hoppe. It also gives the solution of the problem of 3-coloring of planar graphs. We find interestin...

متن کامل

Integrable Structures in String Field Theory

We give a simple proof that the Neumann coefficients of surface states in Witten’s SFT satisfy the Hirota equations for dispersionless KP hierarchy. In a similar way we show that the Neumann coefficients for the three string vertex in the same theory obey the Hirota equations of the dispersionless Toda Lattice hierarchy. We conjecture that the full (dispersive) Toda Lattice hierachy and, even m...

متن کامل

Matrix integrals and several integrable differential-difference systems

In this paper, the relations between three special forms of matrix integrals and their associated integrable differential-difference systems are considered. It turns out that these matrix integrals with special β = 2 and 1, 4 satisfy the differential-difference KP equation, the two-dimensional Toda lattice, the semi-discrete Toda equation and their Pfaffianized systems, respectively.

متن کامل

Orthogonal and Symplectic Matrix Integrals and Coupled KP Hierarchy

Over the past decade, the intimate relationships between matrix integrals and nonlinear integrable systems have been clarified, particularly in the context of string theory. In such cases, nonperturbative properties of physical quantities can be evaluated by the use of the integrable structures of the models. (For review, see refs. 1-4.) Here, we consider a matrix integral over an ensemble of H...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998