D-branes in non-critical superstrings and minimal super Yang-Mills in various dimensions

We construct and analyze D-branes in superstring theories in even dimensions less than ten. The backgrounds under study are supersymmetric R d − 1 , 1 × S L ( 2 , R ) k / U ( 1 ) where the level of the supercoset is tuned such as to provide bona fide string theory backgrounds. We provide exact boundary states for D-branes that are localized at the tip of the cigar SL ( 2 , R ) / U ( 1 ) supercoset conformal field theory. We analyze the spectra of open strings on these D-branes and show explicitly that they are consistent with supersymmetry in d = 2 , 4 and 6. The low energy theory on the world-volume of the D-brane in each case is pure Yang–Mills theory with minimal supersymmetry. In the case with four macroscopic flat directions d = 4 , we realize an N = 1 super-Yang–Mills theory, and we interpret the backreaction for the dilaton as the running of the gauge coupling, and study the relation between R-symmetry breaking in the gauge theory and the backreaction on the RR axion.

Note:

45 pages, harvmac; v2: substantial improvements in sections 5 and 6

membrane model: D-brane
gauge field theory: Yang-Mills
supersymmetry
any-dimensional
phase space
boundary condition
string: spectrum
string: open
back reaction

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