Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-24
Nucl.Phys. B427 (1994) 203-244
Physics
High Energy Physics
High Energy Physics - Theory
56 pages, latex, followed by epsf, 13 uuencoded epsf figures
Scientific paper
10.1016/0550-3213(94)90275-5
We study maps from a 2D world-sheet to a 2D target space which include folds. The geometry of folds is discussed and a metric on the space of folded maps is written down. We show that the latter is not invariant under area preserving diffeomorphisms of the target space. The contribution to the partition function of maps associated with a given fold configuration is computed. We derive a description of folds in terms of Feynman diagrams. A scheme to sum up the contributions of folds to the partition function in a special case is suggested and is shown to be related to the Baxter-Wu lattice model. An interpretation of folds as trajectories of particles in the adjoint representation of $SU(N)$ gauge group in the large $N$ limit which interact in an unusual way with the gauge fields is discussed.
Ganor Ori
Sonnenschein Jacob
Yankielowicz Shimon
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