318 research outputs found
Classification of N=2 supersymmetric CFT_{4}s: Indefinite Series
Using geometric engineering method of 4D quiver gauge
theories and results on the classification of Kac-Moody (KM) algebras, we show
on explicit examples that there exist three sectors of infrared
CFTs. Since the geometric engineering of these CFTs involve type II
strings on K3 fibered CY3 singularities, we conjecture the existence of three
kinds of singular complex surfaces containing, in addition to the two standard
classes, a third indefinite set. To illustrate this hypothesis, we give
explicit examples of K3 surfaces with H and E hyperbolic
singularities. We also derive a hierarchy of indefinite complex algebraic
geometries based on affine and T algebras going beyond the
hyperbolic subset. Such hierarchical surfaces have a remarkable signature that
is manifested by the presence of poles.Comment: 12 pages, 2 figure
On Thermodynamics of AdS Black Holes in M-Theory
Motivated by a recent work on asymptotically AdS_4 black holes in M-theory,
we investigate the thermodynamics and thermodynamical geometry of AdS black
holes from M2 and M5-branes. Concretely, we consider AdS black holes in
AdS_{p+2}\times S^{11-p-2}, where p=2,5 by interpreting the number of M2 (and
M5-branes) as a thermodynamical variable. We study the corresponding phase
transition to examine their stabilities by calculating and discussing various
thermodynamical quantities including the chemical potential. Then, we compute
the thermodynamical curvatures from the Quevedo metric for M2 and M5-branes
geometries to reconsider the stability of such black objects. The Quevedo
metric singularities recover similar stability results provided by the phase
transition program.Comment: 16 pages, 12 figures. Late
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