Semi-Classical Brane in AdS-Spaces(String Field Theory and Related Aspects (SFT2010))

概要

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We briefly review a semi-classical analysis of static branes in AdS spaces. First, fluctuations of a 1/2 BPS F-string in AdS_5×S^5 whose world-sheet extends along AdS_2 are examined. They are three massive and five massless scalars propagating in AdS_2. It is shown that they can reach the boundary to deform the Wilson line and so result in operator insertions in the Wilson line. We see that there exists SO(3)×SO(5) symmetry in both sides. Second, fluctuations of a D3-brane in AdS_5×S^5 whose world-volume extends along AdS_2×S^2 in AdS_5 are examined. They are six massless scalars and a U(1) gauge field propagating in AdS_2×S^2. The spectrum on AdS_2 is derived via a KK-reduction on S^2. Third, fluctuations of an M2-brane in AdS_4×S^7/Z_k whose world-volume extends along AdS_2×S^1 is examined. After a KK-reduction on S^1, it is shown that for k=1, 2 the spectrum degenerates to form eight N=1 scalar supermultiplets for each μ∈Z/2. Among them, sixteen bosonic fluctuations can reach the boundary.
2011-05-24