265 citations · 1.2k across the 26 of their papers we have counts for
26 papers
Twisted Fock Representations of Noncommutative Kähler Manifolds
Akifumi Sako, Hiroshi Umetsu
We introduce twisted Fock representations of noncommutative Kähler manifolds and give their explicit expressions. The twisted Fock representation is a representation of the Heisenb…
Gauge theories on noncommutative and BPS-like equations
Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu
We give the Fock representation of a noncommutative and gauge theories on it. The Fock representation is constructed based on star products given by deformation qua…
Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki +1
We construct a gauge theory on a noncommutative homogeneous Kähler manifold, where we employ the deformation quantization with separation of variables for Kähler manifolds formulat…
Explicit Formulae for Noncommutative Deformations of CP^N and CH^N
Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu
We give explicit expressions of a deformation quantization with separation of variables for CP^N and CH^N. This quantization method is one of the ways to perform a deformation quan…
Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
Yoshinori Honma, Satoshi Iso, Yoske Sumitomo +2
We investigate conformal symmetries of the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory for multiple M2 branes and the Lorentzian Bagger-Lambert-Gustavsson (L-BLG) theory which…
Higher-spin Gauge and Trace Anomalies in Two-dimensional Backgrounds
Satoshi Iso, Takeshi Morita, Hiroshi Umetsu
Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be writ…