16198184
Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
We study D-branes in Kazama-Suzuki models by means of the boundary state description. We can identify the boundary states of Kazama-Suzuki models with the solitons in = 2 Landau-Ginzburg theories. We also propose a geometrical interpretation of the boundary states in Kazama-Suzuki models.
17506465
Singular Calabi-Yau manifolds and ADE classification of CFTS
Abstract We study superstring propagations on the Calabi–Yau manifold which develops an isolated ADE singularity. This theory has been conjectured to have a holographic dual description in terms of N=2 Landau–Ginzburg theory and Liouville theory. If the Landau–Ginzburg description precisely reflects the information of ADE singularity, the Landau–Ginzburg model of D 4 ,E 6 ,E 8 and Gepner model of A 2 ⊗A 2 ,A 2 ⊗A 3 ,A 2 ⊗A 4 should give the same result. We compute the elements of D 4 ,E 6 ,E 8 modular invariants for the singular Calabi–Yau compactification in terms of the spectral flow invariant orbits of the tensor product theories with the theta function which encodes the momentum mode of the Liouville theory. Furthermore we find the interesting identity among characters in minimal models at different levels. We give the complete proof for the identity.
118695956
Spherical D2-brane from multiple D0-branes
We show that the spherical D2-brane in SU(2) WZW model can be well described as the “fuzzy sphere” configuration of D0-branes. We further investigate the stability of some configurations of D0-branes in NS5 background.
119541412
Boundary states in Gepner models
We extend the construction of the boundary states in Gepner models to the non-diagonal modular invariant theories, and derive the same supersymmetric conditions as the diagonal theories. We also investigate the relation between the microscopic charges of the boundary states and Ramond charges of the B-type D-branes on the Calabi-Yau threefolds with one Kahler modulus in the large volume limit.
119216245
Holographic local quenches and entanglement density
A bstractWe propose a free falling particle in an AdS space as a holographic model of local quench. Local quenches are triggered by local excitations in a given quantum system. We calculate the time-evolution of holographic entanglement entropy. We confirm a logarithmic time-evolution, which is known to be typical in two dimensional local quenches. To study the structure of quantum entanglement in general quantum systems, we introduce a new quantity which we call entanglement density and apply this analysis to quantum quenches. We show that this quantity is directly related to the energy density in a small size limit. Moreover, we find a simple relationship between the amount of quantum information possessed by a massive object and its total energy based on the AdS/CFT.