A class of 6D conformal field theories: relation to 4D superconformal Yang-Mills theories?
We describe a class of six-dimensional conformal field theories that possibly are related to the tensionless string theories. They have an ADE classification, but no other discrete or continuous parameters, with the A(N-1) theory arising by factoring out the collective "center of mass" degrees of freedom from N noninteracting chiral two-forms. The Hilbert space carries an irreducible representation of the same Heisenberg group that appears in the tensionless string theories, and the "Wilson surface" observables obey the same superselection rules. When compactified on a two-torus, our theories have the same behavior under S duality as N = 4 super Yang-Mills theories.
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