Quantum integrability and exact eigenstates of the collective string field theory

Avan, Jean; Jevicki, Antal

doi:10.1016/0370-2693(91)91005-G

Quantum integrability and exact eigenstates of the collective string field theory

Jean Avan
(
- Brown U.
)
,
Antal Jevicki
(
- Brown U.
)

Jul, 1991

8 pages

Published in:

Phys.Lett.B 272 (1991) 17-24

Published: 1991

DOI:

10.1016/0370-2693(91)91005-G

Report number:

BROWN-HET-824

View in:

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Abstract: (Elsevier)

The quantum w ∞ algebra associated with the collective string theory is used to construct exact discrete eigenstates of the cubic hamiltonian. Imaginary-eigenvalued creation/annihilation operators are constructed which build a F ⊗ F - graded algebra . Real-eigenvalued operators are formally obtained as combinations of discrete eigenvalued ones and vice versa.

field theory: string
field theory: collective
Hamiltonian formalism
integrability
algebra: W(infinity)
quantization
quantum group

References(19)

Figures(0)

The Quantum Collective Field Method and Its Application to the Planar Limit

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