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More on Quantum Chiral Higher Spin Gravity
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abstract
Chiral Higher Spin Gravity is unique in being the smallest higher spin extension of gravity and in having a simple local action both in flat and (anti)-de Sitter spaces. It must be a closed subsector of any other higher spin theory in four dimensions, which makes it an important building block and benchmark. Using the flat space version for simplicity, we perform a thorough study of quantum corrections in Chiral Theory, which strengthen our earlier results arXiv:1805.00048. Even though the interactions are naively non-renormalizable, we show that there are no UV-divergences in two-, three- and four-point amplitudes at one loop thanks to the higher spin symmetry. We also give arguments that the AdS Chiral Theory should exhibit similar properties. It is shown that Chiral Theory admits Yang-Mills gaugings with $U(N)$, $SO(N)$ and $USp(N)$ groups, which is reminiscent of the Chan-Paton symmetry in string theory.
Forward citations
Cited by 8 Pith papers
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Light-Front approach to $4d$ massless Higher-Spin interactions
Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...
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Massless spinning fields on the Light-Front: quartic vertices and amplitudes
A light-front quartic-constraint analysis classifies local massless higher-spin vertices and amplitudes, yielding no-go results for unitary theories and new quasi-chiral higher-spin sectors.
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BRST-BV approach to fields in Poincare patch of AdS
A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.
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Three-dimensional non-relativistic chiral massive higher-spin gravity
A non-relativistic massive higher-spin gravity in deformed AdS₃ is constructed by Lifshitz-deforming and null-reducing chiral massless higher-spin gravity; under an assumed mass-spin relation its cubic couplings vanis...
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Higher-spins on Taub-NUT and higher-spin Taub-NUT
Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by ...
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Associativity of celestial OPE, higher spins and self-duality
Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...
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A proposal for the role of higher spin fields in Conformal Cyclic Cosmology
A qualitative proposal that non-unitary higher spin physics inside black holes removes degrees of freedom from phase space, resetting entropy between aeons of Conformal Cyclic Cosmology.
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Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory
Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.
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