# On the Exact Quantum Integrability of the Membrane

@article{Castro1996OnTE, title={On the Exact Quantum Integrability of the Membrane}, author={Carlos Castro}, journal={arXiv: High Energy Physics - Theory}, year={1996} }

The exact quantum integrability problem of the membrane is investigated. It is found that the spherical membrane moving in flat target spacetime backgrounds is an exact quantum integrable system for a particular class of solutions of the light-cone gauge equations of motion : a dimensionally-reduced $SU(\infty)$ Yang-Mills theory to one temporal dimension. Crucial ingredients are the exact integrability property of the $3D~SU(\infty)$ continuous Toda theory and its associated dimensionally…

## References

SHOWING 1-10 OF 65 REFERENCES

Black holes as quantum membranes

- Physics
- 1994

Abstract We propose a quantum description of black holes. The degrees of freedom to be quantized are identified with the microscopic degrees of freedom of the horizon, and their dynamics is governed,…

QUANTIZING HIGHER-SPIN STRING THEORIES

- Physics
- 1995

In this paper, we examine the conditions under which a higher-spin string theory can be quantized. The quantizability is crucially dependent on the way in which the matter currents are realized at…

String theory in cosmological space-times

- Physics
- 1994

Progress on string theory in curved spacetimes since 1992 are reviewed. After a short introduction on strings in Minkowski and curved spacetimes, we focus on strings in cosmological spacetimes. The…

Representation Theory of The $W_{1+\infty}$ Algebra

- Mathematics, Physics
- 1994

We review the recent development in the representation theory of the $W_{1+\infty}$ algebra. The topics that we concern are, Quasifinite representation, Free field realizations, (Super) Matrix…

Volume-preserving diffeomorphisms' versus local gauge symmetry

- Physics
- 1995

Abstract We present a new form of quantum electrodynamics where the photons are composites made out of zero-dimensional scalar “primitives”. The role of the local gauge symmetry is taken over by an…

Unifying W-algebras

- Physics
- 1994

Abstract We show that quantum Casimir W-algebras truncate at degenerate values of the central charge c to a smaller algebra if the rank is high enough: Choosing a suitable parametrization of the…

Putting string / string duality to the test

- Physics
- 1995

After simultaneous compactification of spacetime and worldvolume on K3, the D = 10 heterotic fivebrane with gauge group SO(32) behaves like a D = 6 heterotic string with gauge group SO(28) × SU(2),…

p-Branes as Composite Antisymmetric Tensor Field Theories

- Physics
- 1998

p′-brane solutions to rank p+1 composite antisymmetric tensor field theories of the kind developed by Guendelman, Nissimov and Pacheva are found when the dimensionality of space–time is…

Membranes and Other Extendons ( p-branes)

- Physics
- 1996

The physics of relativistic extended objects, or `extendons', as the authors term them, is a rapidly evolving sector of `hard' theoretical physics. One of the most intriguing aspects of this…

Critical and non-critical W_{2,4} strings

- Physics
- 1993

Nilpotent BRST operators for higher-spin $W_{2,s}$ strings, with currents of spins 2 and $s$, have recently been constructed for $s=4$, 5 and 6. In the case of $W_{2,4}$, this operator can be…