Quantum W(N) algebras and Macdonald polynomials - INSPIRE

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Quantum W(N) algebras and Macdonald polynomials

Hidetoshi Awata
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Harunobu Kubo
(
- Tokyo U.
)
,
Satoru Odake
(
- Shinshu U.
)
,
Junichi Shiraishi
(
- Tokyo U., ISSP
)

Aug, 1995

17 pages

Published in:

Commun.Math.Phys. 179 (1996) 401-416

e-Print:

q-alg/9508011 [math.QA]

DOI:

10.1007/BF02102595

Report number:

YITP-U-95-34,
DPSU-95-9,
UT-718

View in:

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Abstract:

We derive a quantum deformation of the

W_N

algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.

References(14)

Figures(0)

Collective field theory, Calogero-Sutherland model and generalized matrix models

H. Awata
(
- Kyoto U., RIMS
)
,
Y. Matsuo
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
S. Odake
(
- Shinshu U.
)
,
J. Shiraishi
(
- Tokyo U.
)

- Phys.Lett.B 347 (1995) 49-55
•
e-Print:
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•
DOI:
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Excited states of Calogero-Sutherland model and singular vectors of the W(N) algebra

Hidetoshi Awata
(
- Kyoto U., RIMS
)
,
Yutaka Matsuo
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Satoru Odake
(
- Shinshu U.
)
,
Jun'ichi Shiraishi
(
- Tokyo U.
)

- Nucl.Phys.B 449 (1995) 347-374
•
e-Print:
- hep-th/9503043
•
DOI:
- 10.1016/0550-3213(95)00286-2

A Note on Calogero-Sutherland model, W(n) singular vectors and generalized matrix models

H. Awata
(
- Kyoto U., RIMS
)
,
Y. Matsuo
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
S. Odake
(
- Shinshu U.
)
,
J. Shiraishi
(
- Tokyo U.
)

- Soryushiron Kenkyu 91 (1995) A69-A75
•
e-Print:
- hep-th/9503028

Integral representations of the Macdonald symmetric functions

Hidetoshi Awata
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Satoru Odake
(
- Shinshu U.
)
,
Jun'ichi Shiraishi
(
- Tokyo U.
)

- Commun.Math.Phys. 179 (1996) 647-666
•
e-Print:
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•
DOI:
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The Models of Two-Dimensional Conformal Quantum Field Theory with Z(n) Symmetry

V.A. Fateev
(
- ICTP, Trieste
)
,
Sergei L. Lukyanov
(
- Landau Inst.
)

- Int.J.Mod.Phys.A 3 (1988) 507,
•
DOI:
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e-Print:
- q-alg/9505025

Exact operator solution of the Calogero-Sutherland model

Luc Lapointe
(
- Montreal U., CRM
)
,
Luc Vinet
(
- Montreal U., CRM
)

- Commun.Math.Phys. 178 (1996) 425-452
•
e-Print:
- q-alg/9509003
•
DOI:
- 10.1007/BF02099456

- Invent.Math. 110 95

Bosonization of ZF algebras: Direction toward deformed Virasoro algebra

Sergei L. Lukyanov
(
- Rutgers U., Piscataway and
- Landau Inst.
)
,
Yaroslav Pugai
(
- Rutgers U., Piscataway and
- Landau Inst.
)

- J.Exp.Theor.Phys. 82 (1996) 1021-1045,
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•
e-Print:
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Complete Integrability of Relativistic Calogero-moser Systems and Elliptic Function Identities

S.N.M. Ruijsenaars
(
- Munich, Max Planck Inst.
)

- Commun.Math.Phys. 110 (1987) 191
•
DOI:
- 10.1007/BF01207363

A Quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

Jun'ichi Shiraishi
(
- Tokyo U., ISSP
)
,
Harunobu Kubo
(
- Tokyo U.
)
,
Hidetoshi Awata
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Satoru Odake
(
- Shinshu U.
)

- Lett.Math.Phys. 38 (1996) 33-51
•
e-Print:
- q-alg/9507034
•
DOI:
- 10.1007/BF00398297

- Adv.Math. 77 76

Exact results for a quantum many body problem in one-dimension

Bill Sutherland
(
- UC, Berkeley
)

- Phys.Rev.A 4 (1971) 2019-2021
•
DOI:
- 10.1103/PhysRevA.4.2019

Exact results for a quantum many body problem in one-dimension. 2.

Bill Sutherland
(
- Utah U.
)

- Phys.Rev.A 5 (1972) 1372-1376
•
DOI:
- 10.1103/PhysRevA.5.1372