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SUMMARY:Positivity from Negativity: M theory on hyperbolic geometry and La
 mbda&gt\;0 - Eva Silverstein\, Stanford
DTSTART:20200629T160000Z
DTEND:20200629T170000Z
UID:TALK142537@talks.cam.ac.uk
CONTACT:David Stefanyszyn
DESCRIPTION:We will describe a mechanism under development for accelerated
  expansion in the generic case of negative-curvature compactifications (ba
 sed on work in progress with B. de Luca and G. Torroba). These manifolds a
 re well-studied mathematically\, with an important rigidity property at fi
 xed volume. They exhibit precise generalizations of string dualities and c
 onnect to other areas of the landscape. M theory on a fiducial hyperbolic 
 manifold with asymmetric cusp cross section\, along with its automatically
  generated Casimir energy and a single source (7-form flux) contains an im
 mediate 3-term structure for volume stabilization at positive potential en
 ergy. We analyze the equations of motion and off-shell effective potential
 \, derived in beautiful work by M. Douglas taking proper account of the co
 nstraints of general relativity\, using both human and artificial neural n
 etworks. After deriving a Maldacena-Nunez style no-go theorem for _anti_-d
 e Sitter extrema for a range of parameters\, and observing that standard i
 ntegrated inequalities are all consistent with de Sitter solutions\, we di
 scuss ongoing work on the full equations of motion\, including smooth inte
 rnal field configurations with small slow roll parameters.
LOCATION:CMS\, Pav. B\, CTC Common Room (B1.19) [Potter Room]
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