BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Masanori Hanada (Surrey U.) DTSTART:20210414T160000Z DTEND:20210414T170000Z DTSTAMP:20260423T023009Z UID:UKYhepth/42 DESCRIPTION:Title: Large-N limit as a second quantization\nby Masanori Hanada (Surrey U .) as part of Theoretical Physics Seminars (Kentucky)\n\n\nAbstract\nIn ga uge/gravity duality\, the information regarding the gravitational geometry (e.g.\, black hole and smooth exterior geometry) has to be encoded in gau ge theory. Clearly\, the color degrees of freedom (matrix degrees of freed om) should play the key role\, because the duality can hold even when the gauge theory side is a matrix model. In this talk\, I will suggest a simpl e way of encoding the geometry to matrices\, along the line of Witten's wo rk on the effective action of D-branes and strings\, and the Matrix Theory conjecture by Banks\, Fischler\, Shenker and Susskind. Roughly speaking\, eigenvalues of matrices can be identified with the location of the D-bran e probe or extended objects such as black hole. \n\nActually there is a fa mous argument against such simple interpretation advocated by Polchinski i n 1998. His argument used generic properties of large-N gauge theory to sh ow that the ground-state wave function delocalizes at large N\, leading to a conflict with the locality in the bulk geometry. We show that this argu ment is not correct: the ground-state wave function does not delocalize\, and there is no conflict with the locality of the bulk geometry. In order to understand how the old argument fails\, recently-discovered connection between color confinement and Bose-Einstein condensation is useful. This c onfinement-BEC connection has a striking consequence: in the SU(N) gauge t heory\, there is a partially-deconfined phase in which an SU(M)-subgroup i s deconfined. Partial deconfinement\, combined with the "eigenvalue = loca tion" picture\, provides us with a natural scenario to realize the idea in BFSS Matrix Theory conjecture --- extended objects\, such as black hole\, are realized as bound states of D-branes and strings\, that look like non -commutative blocks in big matrices --- in the Maldacena-type gauge/gravit y duality. In the large-N limit\, various many-body states can be realized by considering block-diagonal matrix configurations\, similarly to the BF SS proposal. Therefore\, the large-N limit of gauge theory can be interpre ted as the second quantization of the gravity side. \n\nIf time permits\, we will discuss how we might be able to check this proposal quantitatively \, via classical or quantum simulations.\n LOCATION:https://researchseminars.org/talk/UKYhepth/42/ END:VEVENT END:VCALENDAR