Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
arXiv:2309.12092 · doi:10.1016/j.nuclphysb.2023.116421
Abstract
We study geometric inequalities for the circumradius and diameter with respect to general gauges, partly also involving the inradius and the Minkowski asymmetry. There are a number of options for defining the diameter of a convex body that fall apart when we consider non-symmetric gauges. These definitions correspond to different symmetrizations of the gauge, i.e. means of the gauge and its origin reflection .
References in corpus (23)
- Effective action in a higher-spin background
- Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
- Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
- BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
- Frame-like gauge invariant formulation for massive high spin particles
- BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
- From conformal to Einstein Gravity
- On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
- Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
- On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
- On triviality of S-matrix in conformal higher spin theory
- Arbitrary spin conformal fields in (A)dS
- Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
- N=4 conformal supergravity: the complete actions
- General Cubic Interacting Vertex for Massless Integer Higher Spin Fields
- Toward a twistor action for chiral higher-spin gravity
- Holography of Information in AdS/CFT
- Conformal interactions between matter and higher-spin (super)fields
- Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian
- Notes on conformal anomaly, nonlocal effective action and the metamorphosis of the running scale
- Chiral approach to partially-massless fields
- Local supertwistors and conformal supergravity in six dimensions
- Induced action for superconformal higher-spin multiplets using SCFT techniques