Reduced unitary matrix models and the hierarchy of [tau]-functions

@article{citeulike:1183515, abstract = {We study reductions of unitary one-matrix models. The unitary model admits an especially rich class of reductions of which the widely known symmetric model is only one. The partition function of a certain class of reduced models is shown to be a product of distinct Toda chain [tau]-functions. Virasoro constraints are also derived for the case of unitary models. It is claimed, in analogy with the reduced hermitian model, that in the continuous limit the Virasoro constraints must be imposed on a fractional power of the original partition function.}, author = {Bowick, Mark J. and Morozov, Aleksey and Shevitz, Daniel }, citeulike-article-id = {1183515}, doi = {10.1016/0550-3213(91)90365-5}, journal = {Nuclear Physics B}, month = {May}, number = {2-3}, pages = {496--530}, posted-at = {2007-03-24 17:49:13}, priority = {2}, title = {Reduced unitary matrix models and the hierarchy of [tau]-functions}, url = {http://dx.doi.org/10.1016/0550-3213(91)90365-5}, volume = {354}, year = {1991} }

TY - JOUR ID - citeulike:1183515 L3 - citeulike-article-id:1183515 TI - Reduced unitary matrix models and the hierarchy of [tau]-functions JF - Nuclear Physics B VL - 354 IS - 2-3 SP - 496 EP - 530 N2 - We study reductions of unitary one-matrix models. The unitary model admits an especially rich class of reductions of which the widely known symmetric model is only one. The partition function of a certain class of reduced models is shown to be a product of distinct Toda chain [tau]-functions. Virasoro constraints are also derived for the case of unitary models. It is claimed, in analogy with the reduced hermitian model, that in the continuous limit the Virasoro constraints must be imposed on a fractional power of the original partition function. AU - Bowick, Mark AU - Morozov, Aleksey AU - Shevitz, Daniel PY - 1991/05/06/ UR - http://dx.doi.org/10.1016/0550-3213(91)90365-5 ER -