A basis for large operators in N=4 SYM with orthogonal gauge group

作者：Caputa Pawel^*; Koch Robert de Mello; Diaz Pablo

来源：The Journal of High Energy Physics, 2013, 2013(3): 041.

DOI：10.1007/JHEP03(2013)041

• Brane Dynamics in Gauge Theories
• Gauge-gravity correspondence
• 1/N Expansion

We develop techniques to study the correlation functions of %26quot;large operators%26quot; whose bare dimension grows parametrically with N, in SO(N)gauge theory. We build the operators from a single complex matrix. For these operators, the large Nl imit of correlation functions is not captured by summing only the planar diagrams. By employing group representation theory we are able to define local operators which generalize the Schur polynomials of the theory with gauge groupU(N). We compute the two point function of our operator sex actly in the free field limits how in g that they diagonalize the two point function. We explain how these results can be used to obtain the exact free field answers for correlators of operators in the trace basis.

• 出版日期2013-3