INVESTIGADORES
CORREA Diego Hernan
artículos
Título:
Geometry and topology of bubble solutions from gauge theory
Autor/es:
HENG-YU CHEN; DIEGO H. CORREA; GUILLERMO A. SILVA
Revista:
PHYSICAL REVIEW D - PARTICLE AND FILDS
Editorial:
The American Physical Society
Referencias:
Lugar: Ridge, NY, EEUU; Año: 2007 vol. 76 p. 2600301 - 2600313
ISSN:
0556-2821
Resumen:
We study how geometrical and topological aspects of certain 1/2 BPS type IIB
supergravity solutions are captured by the N=4 Super Yang-Mills gauge theory in
the AdS/CFT context. The type IIB solutions are completely characterized by
arbitrary droplets in a plane and we consider, in particular, concentric
droplets. We probe the dual 1/2 BPS operators of the gauge theory with single
traces and extract their one-loop anomalous dimensions. The action of the
one-loop dilatation operator can be reformulated as the Hamiltonian of a
bosonic lattice. The operators defining the Hamiltonian encode the topology of
the droplet. The axial symmetry of the droplets turns out to be essential for
obtaining the spectrum of the Hamiltonians. In appropriate BMN limits, the
near-BPS spectrum reproduces the spectrum of near-BPS string excitations
propagating along each individual edge of the droplet of the dual geometric
background. We also study semiclassical regimes for the Hamiltonians. We show
that for droplets having disconnected constituents, the Hamiltonian admits
different complimentary semiclassical descriptions, each one replicating the
semiclassical description for closed strings extending in each of the
constituents.