Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-11-05
JHEP0409:014,2004
Physics
High Energy Physics
High Energy Physics - Theory
32 pages
Scientific paper
10.1088/1126-6708/2004/09/014
We use the Dijkgraaf-Vafa technique to study massive vacua of 6D SU(N) SYM theories on tori with R-symmetry twists. One finds a matrix model living on the compactification torus with a genus 2 spectral curve. The Jacobian of this curve is closely related to a twisted four torus T in which the Seiberg-Witten curves of the theory are embedded. We also analyze R-symmetry twists in a bundle with nontrivial first Chern class which yields intrinsically 6D SUSY breaking and a novel matrix integral whose eigenvalues float in a sea of background charge. Next we analyze the underlying integrable system of the theory, whose phase space we show to be a system of N-1 points on $T$. We write down an explicit set of Poisson commuting Hamiltonians for this system for arbitrary N and use them to prove that equilibrium configurations with respect to all Hamiltonians correspond to points in moduli space where the Seiberg-Witten curve maximally degenerates to genus 2, thereby recovering the matrix model spectral curve. We also write down a conjecture for a dual set of Poisson commuting variables which could shed light on a particle-like interpretation of the system.
Ganguli Surya
Ganor Ori J.
Gill James A.
No associations
LandOfFree
Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems 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 Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-519429