Das, Sumit R. ; Dhar, Avinash ; Mandal, Gautam ; Wadia, Spenta R. (1992) Winfinity ward identities and correlation functions in the c=1 matrix model Modern Physics Letters A, 7 (11). pp. 937953. ISSN 02177323

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Official URL: http://www.worldscinet.com/mpla/07/0711/S021773239...
Related URL: http://dx.doi.org/10.1142/S0217732392000835
Abstract
We explore consequences of Winfinity symmetry in the fermionic field theory of the c=1 matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator. These identities can be expressed as equations satisfied by the effective action of a threedimensional theory and contain nonperturbative information about the model. We use these identities to calculate the twopoint function of the bilocal operator in the double scaling limit. We extract the operator whose twopoint correlator has a single pole at an (imaginary) integer value of the energy. We then rewrite the Winfinity charges in terms of operators in the matrix model and use this to derive constraints satisfied by the partition function of the matrix model with a general time dependent potential.
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