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Geometry on string lattice
Author(s) -
Naoki Sasakura
Publication year - 2001
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2001/03/017
Subject(s) - physics , lattice field theory , lattice (music) , geometry , gauge theory , condensed matter physics , theoretical physics , quantum mechanics , classical mechanics , mathematics , acoustics
Using the method developed by Callan and Thorlacius, we study the low energyeffective geometry on a two-dimensional string lattice by examining theenergy-momentum relations of the low energy propagation modes on the lattice.We show that the geometry is identical for both the oscillation modes tangentand transverse to the network plane. We determine the relation between thegeometry and the lattice variables. The lowest order effective field theory isgiven by the dimensional reduction of the ten-dimensional N=1 Maxwell theory.The gauge symmetry is related to a property of a three-string junction but notof a higher order junction. A half of the supersymmetries in the effectivefield theory should be broken at high energy.Comment: 13 pages, no figures, LaTe

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