Soon-Tae Hong

SYMPLECTIC EMBEDDING AND HAMILTON–JACOBI ANALYSIS OF PROCA MODEL

Following the symplectic approach we show how to embed the Abelian Proca model into a first-class system by extending the configuration space to include an additional pair of scalar fields, and compare it with the improved Dirac scheme. We obtain in this way the desired Wess–Zumino and gauge fixing terms of BRST-invariant Lagrangian. Furthermore, the integrability properties of the second-class system described by the Abelian Proca model are investigated using the Hamilton–Jacobi formalism, where we construct the closed Lie algebra by introducing operators associated with the generalized Poisson brackets.

Consistent Dirac quantization of SU(2) skyrmion equivalent to BFT scheme

In the framework of Dirac quantization, the SU(2) Skyrmion is canonically quantized to yield the modified predictions of the static properties of baryons. We show that the energy spectrum of this Skyrmion obtained by the Dirac method with the suggestion of generalized momenta is consistent with the result of the Batalin-Fradkin-Tyutin formalism.

Higher dimensional flat embeddings of black strings in

We obtain (3+1)- and (3+2)-dimensional global flat embeddings of 2+1 uncharged and charged black strings, respectively. In particular, the charged black string, which is the dual solution of the Banados-Teitelboim-Zanelli black holes, is shown to be embedded in the same global embedding Minkowski space structure as that of the 2+1 charged de Sitter black hole solution.

Improved BFT quantization of O(3) nonlinear sigma model

We newly apply the improved Batalin-Fradkin-Tyutin(BFT) Hamiltonian method to the O(3) nonlinear sigma model, and directly obtain the compact form of nontrivial first class Hamiltonian by introducing the BFT physical fields. Furthermore, following the BFV formalism, we derive the BRST invariant gauge fixed Lagrangian through the standard path-integral procedure. Finally, by introducing collective coordinates, we also study a semi-classical quantization of soliton background to conclude that the spectrum of zero modes are unchanged through the BFT procedure.

Higher dimensional flat embeddings of (2+1)-dimensional black holes

We obtain the higher dimensional global flat embeddings of static, rotating, and charged Ba\~nados-Teitelboim-Zanelli (BTZ) black holes. On the other hand, we also study similar higher dimensional flat embeddings of the (2+1)-dimensional de Sitter black holes which are the counterparts of the anti--de Sitter BTZ black holes. As a result, the charged de Sitter black hole is shown to be embedded in a (3+2)-dimensional GEMS, in contrast with the charged BTZ one having a (3+3)-dimensional GEMS structure.

Global embeddings of scalar-tensor theories in (2+1)-dimensions

We obtain (3+3)- or (3+2)-dimensional global flat embeddings of four uncharged and charged scalar-tensor theories with the parameters B or L in 2+1 dimensions, which are the nontrivially modified versions of the Ba\~nados-Teitelboim-Zanelli (BTZ) black holes. The limiting cases

BRST symmetries in SU(3) linear sigma model

B=0

Constraint structure of O(3) nonlinear sigma model revisited

or

Flavor symmetry breaking effects on the SU(3) Skyrmion

L=0

Batalin-Fradkin-Tyutin embedding of a noncommutative D-brane system

exactly are reduced to the global embedding Minkowski space solution of the BTZ black holes.