Jae-Kwan Kim

The Minimal Chiral Schwinger model with the minimal Wess-Zumino action

We examine the recently proposed minimal chiral Schwinger model with the new Wess-Zumino action. From the physical requirement, we restrict the regularization ambiguity and show that it is equivalent to the Schwinger model.

N=2 superconformal gravity and OSP(2/2)Kač-Moody algebra in (1+1) dimensions

Abstract N =2 supergravity in two dimensions is obtained and their current algebra is investigated.

Square root singularity in boundary reflection matrix

Abstract Two-particle scattering amplitudes for integrable relativistic quantum field theory in 1+1 dimensions can normally have at most singularities of poles and zeros along the imaginary axis in the complex rapidity plane. It has been supposed that single-particle amplitudes of the exact boundary reflection matrix exhibit the same structure. In this paper, single-particle amplitudes of the exact boundary reflection matrix corresponding to the Neumann boundary condition for affine Toda field theory associated with twisted affine algebras a 2 n (2) are conjectured, based on one-loop result, as having a new kind of square root singularity.

Quantum Ř matrix for E7 and F4 groups

The quantum R matrix for E7 and F4 are explicitly constructed for the defining representations 56 and 26 of E7 and F4, respectively. For these, Skein relations, link polynomials, and spectral parameter‐dependent solutions of Yang–Baxter equation are obtained. The R matrix for the matrix elements related by the Weyl reflection has different values surprisingly.

Derivation of the classical Lagrangian for the relativistic spinning particle

Abstract The ‘classical’ model for a massive spinning particle, which was recently proposed, is derived from the isotropic rotator model. Through this derivation, we note that the spin can be understood as the relativistic extension of the isotropic rotator. Furthermore, the variables t μ corresponding to the ψ ∗ of the ‘pseudo-classical’ model, are necessary for the covariant formulation. The dynamical term for these extra variables is naturally obtained and the meaning of the constraint term p σ Λ σν + mt ν = 0, which was recently shown to give ‘quasi-supersymmetry’, is clarified.

PHYSICAL SPECTRUM OF CHIRAL SCHWINGER MODEL IN THE MATTER GAUGE

We study the physical spectrum and the fermionic operator solutions of the chiral Schwinger model and the minimal chiral Schwinger model in the matter gauge.

D5 affine toda field theory

The physical channel with a cubic pole in the D5 affine Toda field theory is studied, showing the consistency with the S matrix result up to β4 order. It is found that the interplay between the Landau singularity and renormalization plays a very crucial role in the physical channels.

Induced W-supergravity in 1+1 dimensions

Abstract The quantum Ward-Takahashi identity for the two-dimensional induced W-supergravity is obtained and its fractal structure is investigated.

BRST invariant interaction vertex at D<26

Abstract The three-string vertex is constructed from the modified Polyakov string theory. This vertex is proved to be BRST- and K n -invariant at any spacetime dimension D

Minimal chiral Schwinger model in the matter gauge

In the gauge‐invariant formulation of the minimal chiral Schwinger model, we explicitly show the role of the Wess–Zumino field, which seems to be dynamical in the matter gauge φ L =0. Furthermore, in this gauge we show how the left‐handed chirality is maintained in the physical Hilbert space.