A Note on q-Deformed Two-Dimensional Yang-Mills and Open Topological Strings

Details A Note on q-Deformed Two-Dimensional Yang-Mills and Open Topological Strings A Note on q-Deformed Two-Dimensional Yang-Mills and Open Topological Strings

2006-11-10

arxiv.org/abs/hep-th/0611115v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 figures

Scientific paper

In this note we make a test of the open topological string version of the OSV conjecture, proposed in hep-th/0504054, in the toric Calabi-Yau manifold $X= O(-3)\to\mathbf{P}^2$ with background D4-branes wrapped on Lagrangian submanifolds. The D-brane partition function reduces to an expectation value of some inserted operators of a q-deformed Yang-Mills theory living on a chain of $\mathbf{P}^1$'s in the base $\mathbf{P}^2$ of $X$. At large $N$ this partition function can be written as a sum over squares of chiral blocks, which are related to the open topological string amplitudes in the local $\mathbf{P}^2$ geometry with branes at both the outer and inner edges of the toric diagram. This is in agreement with the conjecture.

Affiliated with

Also associated with

No associations

Rating

A Note on q-Deformed Two-Dimensional Yang-Mills and Open Topological Strings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Note on q-Deformed Two-Dimensional Yang-Mills and Open Topological Strings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on q-Deformed Two-Dimensional Yang-Mills and Open Topological Strings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566246