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SUMMARY:Shahn Majid (Queen Mary\, University of London)
DTSTART:20200527T111500Z
DTEND:20200527T121500Z
DTSTAMP:20260423T021107Z
UID:MatPhySem/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MatPhySem/4/
 ">Quantum gravity on the fuzzy sphere</a>\nby Shahn Majid (Queen Mary\, Un
 iversity of London) as part of Mathematical Physics Seminar\n\n\nAbstract\
 nWe study the quantum geometry of the fuzzy sphere defined as the angular 
 momentum algebra $[x_i\,x_j]=2\\imath\\lambda_p \\epsilon_{ijk}x_k$  modul
 o setting $\\sum_i x_i^2$ to a constant\, using a recently introduced 3D r
 otationally invariant differential structure. Metrics are given by symmetr
 ic 3×3 matrices g and we show that for each metric there is a unique quan
 tum Levi-Civita connection with constant coefficients\, with scalar curvat
 ure $\\frac{1}{2}({\\rm Tr}(g^2)-\\frac{1}{2}{\\rm Tr}(g)^2)/\\det(g)$. As
  an application\, we construct Euclidean quantum gravity on the fuzzy unit
  sphere. We also calculate the charge 1 monopole for the 3D differential s
 tructure. Joint work with E. Lira Torres.\n\nLivestream platform: WEBEX\n
LOCATION:https://researchseminars.org/talk/MatPhySem/4/
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