School of Natural Sciences
We consider supersymmetric $AdS_3\times Y_7$ solutions of type IIB supergravity dual to N=(0,2) SCFTs in d=2, as well as $AdS_2\times Y_9$ solutions of D=11 supergravity dual to N=2 supersymmetric quantum mechanics, some of which arise as the near horizon limit of supersymmetric, charged black hole solutions in $AdS_4$. The geometry underlying these solutions was first identified in 2005-2007. Around that time infinite classes of explicit supergravity solutions were also found but, surprisingly, there was little progress in identifying the dual SCFTs.
Our Universe is filled with Cosmic Microwave Background (CMB) radiation having an almost perfect black body spectrum with a temperature of To=2.7K. The number density of photons in our Universe exceeds the number density of electrons by a factor of more than a billion. In the expanding Universe the temperature at early times was higher than today: Tr = To (1+z), where z is the redshift.
We present recent advances in constructions of globally consistent
F-theory compactifications with the exact chiral spectrum of the minimal
supersymmetric Standard Model. We highlight the first such example and
then turn to a subsequent systematic exploration of the landscape of
F-theory three-family Standard Models with a gauge coupling unification.
Employing algebraic geometry techniques, all global consistency
conditions of these models can be reduced to a single criterion on the