TY - JOUR
T1 - Mean field theory, topological field theory, and multi-matrix models
AU - Dijkgraaf, Robbert
AU - Witten, Edward
N1 - Funding Information:
* Research supported in part by NSF Grant PHY8O-19754. **Research supported in part by NSF Grant 86-20266 and NSF Waterman Grant 88-17521.
PY - 1990/10/8
Y1 - 1990/10/8
N2 - We show that the genus zero correlation functions of an arbitrary topological field theory coupled to two-dimensional topological gravity are determined by an appropriate Landau-Ginzburg potential. We determine the potentials that arise for topological sigma models with CP1 or a Calabi-Yau manifold for target space. We present substantial evidence that the multi-matrix models that have been studied recently are equivalent to certain topological field theories coupled to topological gravity. We also describe a topological version of the general "string equation".
AB - We show that the genus zero correlation functions of an arbitrary topological field theory coupled to two-dimensional topological gravity are determined by an appropriate Landau-Ginzburg potential. We determine the potentials that arise for topological sigma models with CP1 or a Calabi-Yau manifold for target space. We present substantial evidence that the multi-matrix models that have been studied recently are equivalent to certain topological field theories coupled to topological gravity. We also describe a topological version of the general "string equation".
UR - http://www.scopus.com/inward/record.url?scp=0000818276&partnerID=8YFLogxK
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U2 - 10.1016/0550-3213(90)90324-7
DO - 10.1016/0550-3213(90)90324-7
M3 - Article
AN - SCOPUS:0000818276
SN - 0550-3213
VL - 342
SP - 486
EP - 522
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -