Generation of Matrix Models by W-operators
Feb, 200928 pages
Published in:
- JHEP 04 (2009) 064
e-Print:
- 0902.2627 [hep-th]
Report number:
- ITEP-TH-08-09
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Abstract: (arXiv)
We show that partition functions of various matrix models can be obtained by acting on elementary functions with exponents of W-operators. A number of illustrations is given, including the Gaussian Hermitian matrix model, Hermitian model in external field and the Hurwitz-Kontsevitch model, for which we suggest an elegant matrix-model representation. In all these examples, the relevant W-operators belong to the W_3-algebra.- matrix model
- partition function
- external field
- algebra: W(3)
- constraint: Virasoro
- algebra: representation
- character
- bibliography
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