Corpus ID: 236469044

Superintegrability of matrix Student's distribution

  title={Superintegrability of matrix Student's distribution},
  author={Andrei Mironov and Aleksey Morozov and Aleksandr Popolitov},
For ordinary matrix models, the eigenvalue probability density decays rapidly as one goes to infinity, in other words, has “short tails”. This ensures that all the multiple trace correlators (multipoint moments) are convergent and well-defined. Still, many critical phenomena are associated with an enhanced probability of seemingly rare effects, and one expects that they are better described by the ”long tail” models. In absence of the exponential fall-off, the integrals for high moments diverge… Expand


Sum rules for characters from character-preservation property of matrix models
A bstractOne of the main features of eigenvalue matrix models is that the averages of characters are again characters, what can be considered as a far-going generalization of the Fourier transformExpand
Universal correlations and power-law tails in financial covariance matrices
We investigate whether quantities such as the global spectral density or individual eigenvalues of financial covariance matrices can be best modelled by standard random matrix theory or rather by itsExpand
Matrix model partition function by a single constraint
In the recent study of Virasoro action on characters, we discovered that it gets especially simple for peculiar linear combinations of the Virasoro operators: particular harmonics of ŵ-operators. InExpand
Correlators in tensor models from character calculus
Abstract We explain how the calculations of [20] , which provided the first evidence for non-trivial structures of Gaussian correlators in tensor models, are efficiently performed with the help ofExpand
Matrix models among integrable theories: Forced hierarchies and operator formalism
Abstract We consider a variety of matrix models as a certain subspace of the whole space of integrable theories, namely, the subspace of forced (“semi-infinite”) hierarchies. The integrability isExpand
Method of generating q-expansion coefficients for conformal block and N=2 Nekrasov function by β-deformed matrix model
Abstract We observe that, at β -deformed matrix models for the four-point conformal block, the point q = 0 is the point where the three-Penner type model becomes a pair of decoupled two-Penner typeExpand
On the complete perturbative solution of one-matrix models
Abstract We summarize the recent results about complete solvability of Hermitian and rectangular complex matrix models. Partition functions have very simple character expansions with coefficientsExpand
Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
We find an exact solution to strongly-coupled matrix models with a single-trace monomial potential. Our solution yields closed form expressions for the partition function as well as averages of SchurExpand
Matrix model conjecture for exact BS periods and Nekrasov functions
We give a concise summary of the impressive recent development unifying a number of different fundamental subjects. The quiver Nekrasov functions (generalized hypergeometric series) form a full basisExpand
JT gravity and the ensembles of random matrix theory
We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermionsExpand