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Caltech

Noncommutative Geometry Seminar

Wednesday, February 11, 2015
4:00pm to 5:00pm
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The Geometry of Entanglement in Multiboundary Wormhole Spacetimes
Shaun Maguire, Graduate Student, Mathematics, Caltech,

The AdS3/CFT2 correspondence is special because
a broad class of solutions which are asymptotically AdS3 can
be obtained as quotients of PSL(2, R) by discrete subgroups of
its isometry group. Additionally, CFTs in 1+1 dimensions are
special because the conformal group is infinite leading to highly
constrained physics. The Ryu-Takayanagi conjecture provides a
powerful tool for translating questions about entanglement in
CFTs to computations involving extremal surfaces in the
corresponding AdS dual. Using this framework, questions about
the distribution of entanglement in a CFT2 are translated to
computations in a corresponding moduli space, with phase
transitions corresponding to points of enhanced symmetry.

For more information, please contact Farzad Fathizadeh by email at [email protected] or visit http://www.math.caltech.edu/~ncg/.