Folds in 2D String Theories

Abstract

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.

56 pages, latex, followed by epsf, 13 uuencoded epsf figures

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Cited by in corpus (11)

• Holography Inspired Stringy Hadrons
• Folded Strings Falling into a Black Hole
• Glueballs as rotating folded closed strings
• Boundary Operators in Effective String Theory
• Folded Strings in Curved Spacetime
• A String Theory for Two Dimensional Yang-Mills Theory I
• Folded Strings
• On the quantization of folded strings in non-critical dimensions
• Classical Solutions of 2D String Theory in any Curved Spacetime
• Noninvertible symmetries in the B model TFT
• Is the horizon of an eternal black hole really smooth?