String Theory Seminar at UNC-CH
Thursday, November 30, 2000, 4:30pm, Phillips Hall (UNC-CH)
Antal Jevicki (Brown University)
Fluctuations of the Giant Graviton
Abstract:- Gravitons moving in AdS_m x S^n spacetimes along the S^n blow up into
spherical (n-2) branes whose radius increases with increasing angular
momentum. This leads to an upper bound on the angular momentum providing
an implementation of the ``stringy exclusion principle.'' We show that
this bound is present only for states which saturate a BPS-like condition
involving the energy E and angular momentum J, E <= J/R, where R is the
radius of S^n. Restriction of motion to such states lead to a
noncommutativity of the coordinates on S^n. As an example of motions which
do not obey the exclusion principle bound, we show that there are finite
action instanton configurations interpolating between two possible
BPS states. We suggest that this is consistent with the proposal that
there is an effective description in terms of supergravity on a
noncommutative space and noncommutativity arises here because of imposing
supersymmetry. Quantum fluctations of the giant graviton are also
discussed.
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