Title and Abstract
How to glue plane partitions to construct new VOAs/affine Yangians
There exists a useful triangle connecting W symmetry, affine Yangian, and plane partition representations. Further, this triangle can serve as the building block for new VOA’s and affine Yangians. I will explain the gluing procedure in this construction.
Holographic subregion complexity of a 1+1 dimensional p-wave superconductor
We analyze the holographic subregion complexity in a 3d black hole with the vector hair. This 3d black hole is dual to a 1 + 1 dimensional p-wave superconductor. We analyze the holographic subregion complexity across the holographic 1 + 1 dimensional p-wave superconductor phase transition by xing q or T. The behavior of the subregion complexity depends on the gravitational coupling constant divided by the gauge coupling constant. When this ratio is less than the critical value, the subregion complexity increases as temperature becomes low. This behavior is similar to the one of the holographic 1 + 1 dimensional s-wave superconductor arXiv:1704.00557. When the ratio is larger than the critical value, the subregion complexity has a non-monotonic behavior as a function of q or T. We also understand a discontinuous jump of the subregion complexity as a function of the size of the interval. The subregion complexity has the maximum when it wraps the almost entire spatial circle. The condensate does not almost vary the subregion complexity, while charge density varies it.
Double field theory and its phenomenology
In this talk, I will talk about our work on double field theory, exceptional field theory, and its phenomenology. Besides these, inspired by double field theory, I will also discuss our future interests in self-mirror Calabi-Yaus and its string phenomenology.
Black holes in AdS/CFT
We make statistical accounts for the thermodynamic properties of various BPS black holes in AdS.