김찬주 교수

A general nonrelativistic field theory on the plane with couplings to an arbitrary number of Abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We identify the self-dual systems for which certain classical and quantal aspects of the theory can be studied in a much simplified mathematical setting. Then, specializing to the general self-dual system with two Chern-Simons gauge fields (and nonvanishing mutual s

We study the Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type half-BPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymmetric Yang-Mills theory and no finite energy regular BPS solution is found. For the mass-deformed A

We explore the physics of supersymmetric Janus gauge theories in four dimensions with spatial dependent coupling constants ${e}^{2}$ and $\ensuremath{\theta}$. For the 8 supersymmetric case, we study the vacuum and Bogomol'nyi-Prasad-Sommerfield spectrum, and the physics of a sharp interface where the couple constants jump. We also find less supersymmetric cases either due to additional expressions in the Lagrangian or to the fact that coupling constants depend on additional spatial coordinates.

Nontopological solitons with nonzero vorticities are considered in the theory of a complex scalar field with renormalizable self-interactions in (2+1)-dimensional spacetime. These nontopological vortices are characterized by the fact that they carry a nonzero angular momentum in addition to the global Abelian charge. The existence of such objects is shown in rotationally symmetric cases. Such rotationally symmetric configurations are ring shaped around the center. Their stability against decay i

Cosmological constant behavior can be realized as solutions of the Dirac–Born–Infeld (DBI) action within Type IIB string theory and the AdS/CFT correspondence. We derive a family of attractor solutions to the cosmological constant that arise purely from the “relativistic” nature of the DBI action without an explicit false vacuum energy. We also find attractor solutions with values of the equation of state near but with w≠−1; the forms for the potential arising from flux interactions are renormal

Self-dual vortex solutions are studied in detail in the generalized Abelian Higgs model with an independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a Chern-Simons-Higgs model with two scalar fields, or other new models. We investigate the properties of the static solutions and perform detailed numerical analyses. For the Chern-Simons-Higgs model with two scalar fields in an asymmetric phase, we prove the existence of

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We find all possible cylindrically symmetric vortex solutions and vortex-particle composites by examining the Einstein equations and the first-order Bogomol'nyi equations. The underlying spatial manifold of these objects comprises a cylinder asymptotically and a two-sphere in addition to

We present a functional derivation of recursion rules for scattering amplitudes in a non-Abelian gauge theory in a form valid to arbitrary loop order. The tree-level and one-loop recursion rules are explicitly displayed.

A bstract We study supersymmetric inhomogeneous field theories in 1+1 dimensions which have explicit coordinate dependence. Although translation symmetry is broken, part of supersymmetries can be maintained. In this paper, we consider the simplest inhomogeneous theories with one real scalar field, which possess an unbroken supersymmetry. The energy is bounded from below by the topological charge which is not necessarily nonnegative definite. The bound is saturated if the first-order Bogomolny eq