zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
An alternative approach to KP hierarchy in matrix models. (English) Zbl 0946.81518
Summary: We show that the most general two-matrix model with bilinear coupling underlies $c=1$ string theory. More precisely, we prove that $W_{1+\infty}$ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two-matrix models, correspond exactly to the $W_{1+\infty}$ constraints, to the discrete tachyon correlation functions and to the integrable hierarchy of the $c=1$ string theory.

81T40Two-dimensional field theories, conformal field theories, etc.
81T27Continuum limits (quantum theory)
81T30String and superstring theories
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
Full Text: DOI
[1] Douglas, M.: Phys. lett. B. 238, 176 (1990)
[2] P. Ginsparg, lectures at 1991 Trieste Summer School, Los Alamos preprint.
[3] Witten, E.: Nucl. phys. B. 340, 281 (1990)
[4] Witten, E.: Surv. diff. Geom.. 1, 243 (1991)
[5] M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Max-Planck-Institute preprint MPI/91-47.
[6] Dijkgraaf, R.; Verlinde, H.; Verlinde, E.: Nucl. phys. B. 348, 435 (1991)
[7] Fukuma, M.; Kawai, H.; Nakayama, R.: Intern. J. Mod. phys. A. 6, 1385 (1991)
[8] Bonora, L.; Martellini, M.; Xiong, C. S.: Nucl. phys. B. 375, 453 (1992)
[9] Ueno, K.; Takasaki, K.: Adv. stud. Pure math.. 4, 1 (1984)
[10] Xiong, C. S.: Phys. lett. B. 279, 341 (1992)
[11] See, e.g., T. Hollowood, L. Miramontes, A. Pasquinucci and C. Nappi, Hermitean versus anti-hermitean 1-matrix models and their hierarchies, preprint IASSNS-HEP-91/59, PUPT-1280, and references therein.