Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-10
JHEP0612:042,2006
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, 4 figures, minor changes, references added, typos corrected
Scientific paper
10.1088/1126-6708/2006/12/042
We study the phase structures of N=4 U(N) super Yang-Mills theories on R x S^3/Z_k with large N. The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S^3/Z_k, and for the fermions the periodic and the anti-periodic boundary conditions can be assigned along the cycle. We compute the partition functions of the orbifold theories and observe that phase transitions occur even in the zero 't Hooft coupling limit. With the periodic boundary condition, the vacua of the gauge theory are dual to various arrangements of k NS5-branes. With the anti-periodic boundary condition, transitions between the vacua are dual to localized tachyon condensations. In particular, the mass of a deformed geometry is compared with the Casimir energy for the dual vacuum. We also obtain an index for the supersymmetric orbifold theory.
No associations
LandOfFree
Phase Transitions of Large N Orbifold Gauge Theories 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 Phase Transitions of Large N Orbifold Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase Transitions of Large N Orbifold Gauge Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-438029