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Effective action and phase transitions of scalar field on the fuzzy sphere
Alexios P. Polychronakos
Scalar field theory on the fuzzy two-sphere, represented as a hermitian matrix model that includes kinetic, mass and quartic interaction terms, is studied. The effective action in…
The quantum angular Calogero-Moser model
Mikhail Feigin, Olaf Lechtenfeld, Alexios P. Polychronakos
The rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwise interactions (in a confining harmonic potential) is reduced along the radial c…
Brane compactifications and 4-dimensional geometry in the IKKT model
Alexios P. Polychronakos, Harold Steinacker, Jochen Zahn
We study in detail certain brane solutions with compact extra dimensions M^4 x K in the IKKT matrix model, with K being a two-dimensional rotating torus embedded in R^6. We focus o…