108 citations · 1.2k across the 67 of their papers we have counts for
23 papers · 1 filter
Inequivalent Quantizations of the N = 3 Calogero model with Scale and Mirror-S_3 Symmetry
Nobuhiro Yonezawa, Izumi Tsutsui
We study the inequivalent quantizations of the N = 3 Calogero model by separation of variables, in which the model decomposes into the angular and the radial parts. Our inequivalen…
Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
Yasumi Abe, Rabin Banerjee, Izumi Tsutsui
We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality…
Supersymmetric Quantum Mechanics under Point Singularities
Takashi Uchino, Izumi Tsutsui
We provide a systematic study on the possibility of supersymmetry (SUSY) for one dimensional quantum mechanical systems consisting of a pair of lines or intervals [-l, l] each…
Instantons, Monopoles and the Flux Quantization in the Faddeev-Niemi Decomposition
Toyohiro Tsurumaru, Izumi Tsutsui, Akira Fujii
We study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi.…
Quantum Caustics for Systems with Quadratic Lagrangians in Multi-Dimensions
Kenichi Horie, Hitoshi Miyazaki, Izumi Tsutsui
We study quantum caustics in -dimensional systems with quadratic Lagrangians. Based on Schulman's procedure in the path-integral we derive the transition amplitude on caustics i…
On Topological Terms in the O(3) Nonlinear Sigma Model
Toyohiro Tsurumaru, Izumi Tsutsui
Topological terms in the O(3) nonlinear sigma model in (1+1) and (2+1) dimensions are re-examined based on the description of the SU(2)-valued field . We first show that the top…
Hopf Term, Fractional Spin and Soliton Operators in the O(3) Nonlinear Sigma Model
Izumi Tsutsui, Masaomi Kimura, Hiroyuki Kobayashi
We re-examine three issues, the Hopf term, fractional spin and the soliton operators, in the 2+1 dimensional O(3) nonlinear sigma model based on the adjoint orbit parameterization…
Quantum Mechanically Induced Wess-Zumino Term in the Principal Chiral Model
Hitoshi Miyazaki, Izumi Tsutsui
It is argued that, in the two dimensional principal chiral model, the Wess-Zumino term can be induced quantum mechanically, allowing the model with the critical value of the coupli…
Quantum Mechanically Induced Hopf Term in the O(3) Nonlinear Sigma Model
Izumi Tsutsui, Shogo Tanimura, Hiroyuki Kobayashi
The Hopf term in the dimensional O(3) nonlinear sigma model, which is known to be responsible for fractional spin and statistics, is re-examined from the viewpoint of quant…
Inequivalent Quantizations and Holonomy Factor from the Path-Integral Approach
Shogo Tanimura, Izumi Tsutsui
A path-integral quantization on a homogeneous space G/H is proposed based on the guiding principle `first lift to G and then project to G/H'. It is then shown that this principle g…
Quantum mechanical Liouville model with attractive potential
Hiroyuki Kobayashi, Izumi Tsutsui
We study the quantum mechanical Liouville model with attractive potential which is obtained by Hamiltonian symmetry reduction from the system of a free particle on $SL(2, \Real)$.…
Regularization of Toda lattices by Hamiltonian reduction
Laszlo Feher, Izumi Tsutsui
The Toda lattice defined by the Hamiltonian with , which exhibits singular (blowing up)…
Induced Gauge Fields in the Path Integral
Shogo Tanimura, Izumi Tsutsui
The path integral on a homogeneous space is constructed, based on the guiding principle `first lift to and then project to '. It is then shown that this princi…
The canonical connection in quantum mechanics
Peter Levay, David McMullan, Izumi Tsutsui
In this paper we investigate the form of induced gauge fields that arises in two types of quantum systems. In the first we consider quantum mechanics on coset spaces G/H, and argue…
Global Aspects of the WZNW Reduction to Toda Theories
I. Tsutsui, L. Feher
It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW Toda reduct…
Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction
G. Jorjadze L. O'Raifeartaigh I. Tsutsui
A quantum theory is constructed for the system of a relativistic particle with mass m moving freely on the SL(2,R) group manifold. Applied to the cotangent bundle of SL(2,R), the m…
BPST instanton and Spin from inequivalent quantizations
David McMullan, Izumi Tsutsui
We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction ${\rm G…
On the emergence of gauge structures and generalized spin when quantizing on a coset space
David McMullan, Izumi Tsutsui
It has been known for some time that there are many inequivalent quantizations possible when the configuration space of a system is a coset space G/H. Viewing this classical system…
The vacuum preserving Lie algebra of a classical W-algebra
L. Feher, L. O'Raifeartaigh, I. Tsutsui
We simplify and generalize an argument due to Bowcock and Watts showing that one can associate a finite Lie algebra (the `classical vacuum preserving algebra') containing the Möbiu…
On the Completeness of the Set of Classical W-Algebras Obtained from DS Reductions
L. Feher, L. O'Raifeartaigh, P. Ruelle +1
We clarify the notion of the DS --- generalized Drinfeld-Sokolov --- reduction approach to classical -algebras. We first strengthen an earlier theorem which showed that a…
On the Lagrangian Realization of the WZNW Reductions
I. Tsutsui, L. Feher
We develop a phase space path-integral approach for deriving the Lagrangian realization of the models defined by Hamiltonian reduction of the WZNW theory. We illustrate the uses of…
Rational vs Polynomial Character of W-Algebras
L. Feher, L. O'Raifeartaigh, P. Ruelle +1
The constraints proposed recently by Bershadsky to produce algebras are a mixture of first and second class constraints and are degenerate. We show that they admit a first-…
On the General Structure of Hamiltonian Reductions of the Wznw Theory
L. Feher, L. O'raifeartaigh, P. Ruelle +2
The structure of Hamiltonian reductions of the Wess-Zumino-Novikov-Witten (WZNW) theory by first class Kac-Moody constraints is analyzed in detail. Lie algebraic conditions are giv…