146 citations · 391 across the 12 of their papers we have counts for
12 papers
Metric Algebroid and Poisson-Lie T-duality in DFT
Ursula Carow-Watamura, Kohei Miura, Satoshi Watamura
In this article we investigate the gauge invariance and duality properties of DFT based on a metric algebroid formulation given previously in [1]. The derivation of the general act…
Metric algebroid and Dirac generating operator in Double Field Theory
Ursula Carow-Watamura, Kohei Miura, Satoshi Watamura +1
We give a formulation of Double Field Theory (DFT) based on a metric algebroid. We derive a covariant completion of the Bianchi identities, i.e. the pre-Bianchi identity in torsion…
DFT in supermanifold formulation and group manifold as background geometry
Ursula Carow-Watamura, Noriaki Ikeda, Tomokazu Kaneko +1
We develop the formulation of DFT on pre-QP-manifold. The consistency conditions like section condition and closure constraint are unified by a weak master equation. The Bianchi id…
Off-Shell Covariantization of Algebroid Gauge Theories
Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda +2
We present a generalized method to construct field strengths and gauge symmetries, which yield a Yang-Mills type action with Lie n-algebroid gauge symmetry. The procedure makes use…
Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization
Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda +2
We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QP-manifold, which is closely rela…
Boundary state analysis on the equivalence of T-duality and Nahm transformation in superstring theory
Tsuguhiko Asakawa, Ursula Carow-Watamura, Yoshiro Teshima +1
We investigated the equivalence of the T-duality for a bound state of D2 and D0-branes with the Nahm transformation of the corresponding gauge theory on a 2-dimensional torus, usin…
Monopole Bundles over Fuzzy Complex Projective Spaces
Ursula Carow-Watamura, Harold Steinacker, Satoshi Watamura
We give a construction of the monopole bundles over fuzzy complex projective spaces as projective modules. The corresponding Chern classes are calculated. They reduce to the monopo…
Noncommutative Geometry and Gauge Theory on Fuzzy Sphere
Ursula Carow-Watamura, Satoshi Watamura
The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The…
Differential Calculus on Fuzzy Sphere and Scalar Field
Ursula Carow-Watamura, Satoshi Watamura
We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality op…
Chirality and Dirac Operator on Noncommutative Sphere
Ursula Carow-Watamura, Satoshi Watamura
We give a derivation of the Dirac operator on the noncommutative -sphere within the framework of the bosonic fuzzy sphere and define Connes' triple. It turns out that there are…
The Quantum Group as a Symmetry - The Schrödinger equation of the -dimensional -deformed Harmonic Oscillator -
Ursula Carow-Watamura, Satoshi Watamura
With the aim to construct a dynamical model with quantum group symmetry, the -deformed Schrödinger equation of the harmonic oscillator on the -dimensional quantum Euclidian s…
The -deformed Schrödinger Equation of the Harmonic Oscillator on the Quantum Euclidian Space
Ursula Carow-Watamura, Satoshi Watamura
We consider the -deformed Schrödinger equation of the harmonic oscillator on the -dimensional quantum Euclidian space. The creation and annihilation operator are found, which…