Sang-Jin Sin (Hanyang Univ.) Based on Archive:

 Nf/Nc ~ 1 in QCD.  Since Nc has to be large for AdS/CFT, so is the N_f. Then gravity back reaction is not an option but an essential.  The probe approximation gives typical phase diagram that is open while QCD phase diagram is closed. (Kim,Lee,Nam,Park,Sin: )  back reaction closes phase diagram.

 Baryon chemical potential and charge  AdS charged black hole and R-charge  Bulk Filling Branes and AdS black hole  Phase diagram closes  Minkowski v.s Black hole Embeddings (Baryon v.s Quark phase)

 Baryon is not adjoint Rep.  So it is not an Bulk Field.  Chemical potential in 4d is a tail of A_0  Suggested to be tail of BRANE-FIELD A_0 by Kim-Sin-Zahed (hep-th/ ) vector domination determines A_0=mu*psi_v  Horigome-Tanii (hep-th/ ) Use eq. of Motion for A_0 without source  Nakamura, Seo, Sin, Yogendran:(  with source

 How to understand from Top down?  Consider AdS5 filled with probe branes that fills the whole Space  Truncate DBI to quadratic F^2  if m_q=0, Induced metric => Bulk metric  If m_q is not 0, there is deformation Horizon Boundary ADS5 bulk Bulk filling Brane

 It is a brane U(1) charge  Hoever, Brane is filling entire AdS 5  Hence it is a bulk charge as well.  There is a Unique way a U(1) charge can couple to the metric.  Therefore U(1)_B charge must be related to the charge parameter in RN black hole.

Chamblin et.al hep-th/ : Q identified as R charge Bulk field A  sourced by Adjoint representation What if Bulk=Brane?

 Q=given baryon charge, q=parameter of RN BH  What is relation of q & Q?  ANS:

 The only information I used from the Brane language is the relation  NcNf is common to all Dp.  1/4pi^2 is for D7.

 Fixed chemical potential (grand canonical) Fixed charge (Canonical) : add a surface term = or Legendre transform Equivalent physics // grand canonical

 Introducing hard wall  Hawking-Page Transition (Herzog)  High temperature: charged ads BH  Low temperature: many different candidate: AdS, extremal charged BH, AdS with charges at the wall  We choose the last one for fixed charge case  Treat the grand canonical as Legendre Tr.

 With back reaction v.s Without Main change is attributed to the def. change of T.

Z. FodorZ. Fodor, S.D. KatzS.D. Katz (hep-lat/ )

1. We seem to have phase diagram that mimic that of QCD. 2. We seems to have correct formalism to include the baryon density in bottom up approach. 3. How mass and chiral condensation, coupling etc. are running in density? UNDER PROgress.

D3/D7 temperature  ads Black hole Black hole embedding v.s Minkoswki brane

 Can there be a Minkowski Embedding? Kobayashi + et.al: (hep-th/ ) claimed that there is no ME.  If we introduce only quarks: Yes. But If we introduce the baryon source, we may have ME. (S. Nakamura, Seo, Sin, Yogendran)

 String is connecting D7 and horizon   D7 brane deformation with spiky structure. D7 Spiky D7  string  quark BH Black hole Embedding with charge

BH Baryon vertex Minkowsky Embedding with charge  String is connecting D7 and baryon vertex   D7 brane deformation without spiky structure. = ME brane

 Minkowski brane can exist even in the presence of charge. (Baryon vertex can be in contact with probe brane.)