# Minimal (super)stringtheory

1. Jan 24, 2004

### ranyart

Here is a very interesting paper with some very adapt notions contained. As strings goens, this is actually a cool paper.

http://uk.arxiv.org/PS_cache/hep-th/pdf/0312/0312170.pdf

Another paper detailing 2-Dimensional superspace:http://uk.arxiv.org/PS_cache/hep-th/pdf/0211/0211222.pdf

certainly makes one ask some interseting questions, here is just a snippit:Conclusions and open questions We have presented the action and some of the elementary properties of a defect conformal
field theory describing intersecting D3-branes, including some aspects of the AdS/CFT dictionary. There remain many interesting open questions, of which we enumerate a few below.

The defect conformal field theory requires further field-theoretic analysis. One of the stranger features of this theory is that it contains massless two-dimensional scalars with (presumably) exactly marginal gauge, Yukawa, and scalar potential couplings. It is not
at all obvious that one can construct a Hilbert space corresponding to operators with power law correlation functions, due to the logarithmic correlators of the two-dimensional scalars. It would be very interesting if one could show this to all orders in perturbation
theory.
As a precursor to including gravity into the holographic map, it would be interesting to study the energy-momentum tensor of the defect conformal field theory in detail. We did not find any evidence of an enhancement of the two-dimensional SO(2, 2) global conformal
symmetry to a full infinite-dimensional conformal symmetry on the two-dimensional defect. A study of the energy-momentum tensor would allow us to address this question conclusively at least from the field-theoretic side. For example, if an enhancement did indeed occur it should manifest itself in the form of a two-dimensional energy-momentum tensor which is holomorphically conserved.

Interesting thoughts come to mind, especially about the 'energy-momentum tensor of the defect conformal field theory '.

Last edited: Jan 24, 2004