BGWM as second constituent of complex matrix model

BGWM as Second Constituent of Complex Matrix Model

In [1] we explained that partition functions of various matrix models can be constructed from that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building block in ”M-theory” of matrix models [2]. However, the less topical complex matrix model appeared to be an exception: its decomposition involved not only the Kontsevich τ -function but also another constituent, wh...

Complex matrix model duality

The same complex matrix model calculates both tachyon scattering for the c = 1 non-critical string at the self-dual radius and certain correlation functions of half-BPS operators in N = 4 superYang-Mills. It is dual to another complex matrix model where the couplings of the first model are encoded in the Kontsevich-like variables of the second. The duality between the theories is mirrored by th...

ON CONEIGENVALUES OF A COMPLEX SQUARE MATRIX

In this paper, we show that a matrix A in Mn(C) that has n coneigenvectors, where coneigenvaluesassociated with them are distinct, is condiagonalizable. And also show that if allconeigenvalues of conjugate-normal matrix A be real, then it is symmetric.  

2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals

Constituent Ordering as Alignment

In Optimality Theory (OT), recent work has been exploring the idea that the order of constituents in syntax is determined by alignment constraints, developed within the theory of Generalized Alignment (see McCarthy and Prince (1993)). Costa (1998) and Samek-Lodovici (1998) present general overviews, and both have specifically argued that OT analyses are superior to proposals expressed in terms ...