!!! Please note this will be an in-person event!!!  
 

Maximal Super Yang-Mills theory, including the D0-brane matrix model, can be viewed as a bound state of D-branes and strings, at least intuitively. In this framework, where are the D-branes located in the emergent geometry?

 

To be concrete, let us focus on the ground state. Many, including myself before 2021, have believed in a 'profound' picture: D-branes are smeared out, forming a kind of fuzz, from which the dual gravitational geometry emerges. In this talk, I will argue that this picture is incorrect, and the truth is much simpler --- and perhaps, even mundane: D-branes sit at the center of the bulk, with no excited strings; they form a supersymmetric black hole, whose horizon vanishes and is therefore invisible. This result comes from recognizing the importance of wave packets in the space of matrices. Coupled with partial deconfinement, it offers a straightforward interpretation of black hole entropy as entanglement between matrix degrees of freedom. Additionally, we observe an intriguing interplay between the wave packet and entanglement between spatial regions in quantum field theory. This provides a natural connection between two seemingly distinct mechanisms of emergent holographic geometry: one arising from entanglement, and the other from matrix eigenvalues.

 

References

arXiv:2102.08982, "Bulk geometry in gauge/gravity duality and color degrees of freedom" 

arXiv:2204.06472, "Matrix Entanglement," with Vaibhav Gautam, Antal Jevicki, and Cheng Peng

arXiv:2406.13364, "Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom," with Vaibhav Gautam and Antal Jevicki