friday

It being a Friday - and now evening - there is not a soul in the building.
No one to talk to - which is the single largest source of my frustration
in Seoul. Especially, academics.

Fundamental density

I just heard Mateos talk at Strings 2007. He clearly mentions that at finite density the ME branes do not exist. The argument being the F1-force balance.
Its a bit funny - because from our work, we know that at fixed density and quark mass, there are no black hole type embeddings for low enough temperature (this is because of the temperature dependence in the expression for the physical density in terms of the charge density q).

I am going to just try to compute the fluctuation spectrum - and then drop the whole thing.

A work diary

I am trying to study what happens when we take string corrections to the gauge theory confinement-deconfinement phase transition a la Herzog.

The method to be adopted is:
First: find the contribution of the D7-brane to the total free energy (coming from Born-Infeld action). This contribution makes sense only if N_c is finite.

Second: If N_c is finite, then the D7-brane contributes a tadpole to the dilaton and axion (the latter via the Bianchii identity for F^{(1)} _{RR}). Similarly, the metric also picks up some back reaction.

Therefore, there are corrections to the bulk supergravity action as well, at O (N_f/N_c).

Thus, add all of these contributions, for a truncated geometry, a la Herzog (or Pando-Zayas) for each of thermal AdS, and AdS-Black hole backgrounds.

Then estimate the correction to the phase transition temperature - in particular what does it depend on ?

In this, we must keep T and quark mass m_q fixed.