Schur polynomials and giant graviton
Date
2010-09-08
Authors
Park, Nicholas Joseph
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Abstract
We use the duality between Schur polynomials and half BPS operators in
order to diagonalize the one loop dilatation operator studied in [1] and [2].
This problem has been studied for operators with R-charge of O(1) and
O(√N), corresponding to Kaluza-Klein gravitons and strings respectively.
Due to the complexity of the problem, there has been no prior attempt
to study the problem with R-charge of O(N) corresponding to D-branes
solutions. In this work we study a large N limit where a particular sector
decouples. This sector corresponds to two nearly maximal spherical giant
gravitons.