Giant gravitons - with strings attached (III)

Anomalous dimensions of heavy operators from magnon energies

“…Inspired by the Gauss Law which will arise in the world volume description of the giant graviton branes, the authors of [23] suggested operators in the gauge theory that are dual to excited giant graviton brane states. This inspired idea was pursued both in the case that the open strings are described by an open string word [24][25][26] and in the case of minimal open strings, with each open string represented by a single magnon [27,28]. The operators introduced in [24,27] are the restricted Schur polynomials.…”

“…The operators introduced in [24,27] are the restricted Schur polynomials. Further, significant progress was made in understanding the spectrum of anomalous dimensions of these operators in the studies [25,26,[29][30][31][32][33][34]. Extensions which consider orthogonal and symplectic gauge groups and other new ideas, have also been achieved [35][36][37][38][39][40].…”

“…Our goal in this section is to review the action of this dilatation operator on the restricted Schur polynomials, which was constructed in general in [25,26]. When we act with…”

“…If the string is attached to a dual giant graviton, the row the endpoint of the relevant open string belongs to inherits the extra box. The coefficient of this term is given by minus one times the square root of the factor associated with the open string box divided by N [25,26]. We remind the reader that a box in row i and column j is assigned the factor N − i + j.…”

“…The details of which column/row shrinks is exactly parallel to the discussion in point 2 above. The coefficient of this term is given by minus one times the square root of the factor associated with the open string box divided by N [25,26].…”