Why (L)-CFT? Why holography Results To do list Logarithmic Conformal Field Theory, W-Algebras and Holography Yannick Mvondo-She Department of Physics University of Pretoria 2 nd Mandelstam Workshop Of Theoretical Physics January 20, 2018 Durban, South Africa
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Why (L)-CFT? Why holography Results To do list
Logarithmic Conformal Field Theory,W-Algebras and Holography
Yannick Mvondo-She
Department of PhysicsUniversity of Pretoria
2nd Mandelstam Workshop Of Theoretical PhysicsJanuary 20, 2018
Durban, South Africa
Why (L)-CFT? Why holography Results To do list
Outline
Why (L)-CFT?
Why holography
Results
To do list
Why (L)-CFT? Why holography Results To do list
Why (L)-CFT?Because of appearance of Jordan cells...
RCFT
• Constructed by HighestWeight Representation ofthe Virasoro Algebra
• A highest weight state |h〉corresponding to a primaryfield of conformal dimensionh has the property:
Partition function of Topologically Massive Higher Spin Gravity:[Bagchi, Lal, Saha, Sahoo’11]
Why (L)-CFT? Why holography Results To do list
Goals... starting with addition of a spin 3 field
Partition function of Topologically Massive Higher Spin Gravity:
Why (L)-CFT? Why holography Results To do list
Goals... starting with addition of a spin 3 field
Partition function of Topologically Massive Higher Spin Gravity:
Why (L)-CFT? Why holography Results To do list
GoalsOther goals
• Quantum Group action on our holographic LCFT model viaKazhdan-Lusztig correspondence.
• Novel relation between Hopf Algebras and functions in severalvariables [Lentner’17]
• Appearance of a differential operator acting on objects
Why (L)-CFT? Why holography Results To do list
GoalsOther goals
• Quantum Group action on our holographic LCFT model viaKazhdan-Lusztig correspondence.
• Novel relation between Hopf Algebras and functions in severalvariables [Lentner’17]
• Appearance of a differential operator acting on objects
Why (L)-CFT? Why holography Results To do list
GoalsOther goals
• Quantum Group action on our holographic LCFT model viaKazhdan-Lusztig correspondence.
• Novel relation between Hopf Algebras and functions in severalvariables [Lentner’17]
• Appearance of a differential operator acting on objects
Why (L)-CFT? Why holography Results To do list
Some literature
1. M.R. Gaberdiel, D. Grumiller, and D. Vassilevich, Graviton1-loop partition function for 3-dimensional massive gravity,JHEP 1011 (2010) 094, arxiv:1007.5189 .
2. A. Bagchi, S. Lal, A. Saha, B. Sahoo, One loop partitionfunction for Topologically Massive Higher Spin Gravity, arXiv:1107.2063v2.
3. D. Grumiller, W. Riedler, J. Rosseel, Holographic applicationsof logarithmic conformal field theories, arXiv:1302.0280.
4. S. D. Lentner, Quantum groups and Nichols algebras actingon conformal field theories, arXiv preprint arXiv:1702.06431(2017).