A5084324722- Black Holes and Theoretical Physics
- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Advanced Algebra and Geometry
- Noncommutative and Quantum Gravity Theories
- Anesthesia and Neurotoxicity Research
- Neonatal and fetal brain pathology
- Neuroinflammation and Neurodegeneration Mechanisms
- Mathematics Education and Programs
University of Pretoria
2021
National Institute for Theoretical Physics
2017
Counting formulae for general primary fields in free four dimensional conformal field theories of scalars, vectors and matrices are derived. These specialised to count primaries which obey extremality conditions defined terms the dimensions left or right spins (i.e. relations between charges under Cartan subgroup SO(4, 2)). The construction scalar theory is mapped a problem determining multi-variable polynomials subject system symmetry differential constraints. For extremal primaries, we...
A bstract This is the first in a series of papers devoted to study spin chains capturing spectral problem 4d $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 SCFTs planar limit. At one loop and quantum plane limit, we discover quasi-Hopf symmetry algebra, defined by R -matrix read off from superpotential. implies that when orbifolding 4 algebra down then marginaly deforming, broken generators are not lost, but get upgraded...
We develop general counting formulae for primary fields in free four dimensional (4D) scalar conformal field theory (CFT). Using a duality map between operators and multi-variable polynomial functions subject to differential constraints, we identify sector of holomorphic corresponding on class permutation orbifolds. These orbifolds have palindromic Hilbert series, which indicates they are Calabi-Yau. construct the top-dimensional form expected from Calabi-Yau property. This includes extends...
Counting formulae for general primary fields in free four dimensional conformal field theories of scalars, vectors and matrices are derived. These specialised to count primaries which obey extremality conditions defined terms the dimensions left or right spins (i.e. relations between charges under Cartan subgroup $SO(4,2)$). The construction scalar theory is mapped a problem determining multi-variable polynomials subject system symmetry differential constraints. For extremal primaries, we...