TY - JOUR
T1 - Folds in 2D string theories
AU - Ganor, O.
AU - Sonnenschein, J.
AU - Yankielowicz, S.
N1 - Funding Information:
‘Work supported in part by the US—Israel Binational Science Foundation and the lsraeJ Academy of Sciences.
PY - 1994/9/26
Y1 - 1994/9/26
N2 - 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 in eract in an unusual way with the gauge fields is discussed.
AB - 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 in eract in an unusual way with the gauge fields is discussed.
UR - http://www.scopus.com/inward/record.url?scp=13444292387&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(94)90275-5
DO - 10.1016/0550-3213(94)90275-5
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AN - SCOPUS:13444292387
SN - 0550-3213
VL - 427
SP - 203
EP - 244
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 1-2
ER -