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From the symmetric group to giant gravitons in super Yang-Mills theory

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In this talk we will discuss how giant gravitons and their open string interactions emerge from super Yang-Mills
Theory. This is accomplished by diagonalizing the one loop dilatation operator on a
class of operators with bare dimension of order N. From the result of this diagonalization, the
Gauss Law governing the allowed open string excitations of giant gravitons is clearly
visible. In addition, we show that this sector of the theory is integrable.