All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix

DOI10.1103/PhysRev.159.1251zbMath0168.23702OpenAlexW3142567759WikidataQ21709370 ScholiaQ21709370MaRDI QIDQ5554902

Publication date: 1967

Published in: Physical Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physrev.159.1251

zbMATH Keywords

symmetries in microphysics

Related Items

A Riccati type PDE for light-front higher helicity vertices, Renovation of the standard model with Clifford-Dirac algebras for chiral-triplets, A chargeless complex vector matter field in supersymmetric scenario, Supersymmetric quantum mechanics and topology, Tetrads in Yang-Mills geometrodynamics, Twistor-like transform in ten dimensions, Two-dimensional models as testing ground for principles and concepts of local quantum physics, Veneziano amplitude of Vasiliev theory, Emergent symmetries of the Standard Model, Dual Lorentzian spherical motions and dual Euler-Savary formula, Poincaré invariant quantum field theories with twisted internal symmetries, Gauge formulation of a vector-spinor superalgebra, Deformations of superconformal theories, Off-shell spinor-helicity amplitudes from light-cone deformation procedure, Current interactions from the one-form sector of nonlinear higher-spin equations, Nonanticommutative deformations of $N=(1, 1)$ supersymmetric theories, On higher spin symmetries in de Sitter QFTs, Spinor-helicity three-point amplitudes from local cubic interactions, ABJ theory in the higher spin limit, Partially massless fields during inflation, Parasupersymmetry and $\mathcal N$-fold supersymmetry in quantum many-body systems. I: General formalism and second order, A minimal approach to the scattering of physical massless bosons, Lie-algebraic classification of effective theories with enhanced soft limits, Internal supersymmetry and small-field Goldstini, Higher-spin interactions: four-point functions and beyond, Non-local symmetries for Yang-Mills theories and their massive counterparts in two and three dimensions, Dynamical compactification as a mechanism of spontaneous supersymmetry breaking, Biconformal supergravity and the AdS/CFT conjecture, A possible unification model for all basic forces, Symmetry transformations with noncommutative and nonassociative parameters, Towards massless sector of tensionless strings on $AdS_5$, Navigating collinear superspace, Coset space construction for the conformal group: spontaneously broken phase and inverse Higgs phenomenon, Nonlinear equations for symmetric massless higher spin fields in (A)dS$_d$, Supersymmetry breaking in low dimensional models, Softness and amplitudes' positivity for spinning particles, Exact results in non-supersymmetric large $N$ orientifold field theories, Precision calculations in supersymmetric theories, Interaction of non-abelian tensor gauge fields, Conformal transformations of $S$-matrix in scalar field theory, Multiboson threshold production by fermion-antifermion pair and hidden symmetry, Correlation functions of conserved currents in four dimensional conformal field theory, Hidden spacetime symmetries and generalized holonomy in $M$-theory, Orientable objects in relativistic quantum theory, Chiral higher spin theories and self-duality, Einstein's impact on the physics of the twentieth century, Current interactions and holography from the 0-form sector of nonlinear higher-spin equations, Non-abelian tensor gauge fields, On vacuum structures of $N=2$ LSUSY QED equivalent to $N=2$ NLSUSY model, Tensionless strings, WZW models at critical level and massless higher spin fields, Weak supersymmetry, Spinor-vector supersymmetry algebra in three dimensions, One-loop finiteness of chiral higher spin gravity, Chiral gauge theory and gravity from unconventional supersymmetry, Isomorphism between the local Poincaré generalized translations group and the group of spacetime transformations $(\otimes\mathrm{LB}1)^4$, Hidden Yangians in 2D massive current algebras, Quantum group symmetries and non-local currents in 2D QFT, Higher spin dark matter, Colourful Poincaré symmetry, gravity and particle actions, Internal quark symmetries and colour $\mathrm{SU}(3)$ entangled with $Z_3$-graded Lorentz algebra, Emerging internal symmetries from effective spacetimes, Conformal higher spin scattering amplitudes from twistor space, Geometric constraints on the space of $ \mathcal{N}=2 $ SCFTs. I: Physical constraints on relevant deformations, Geometric constraints on the space of $ \mathcal{N}=2$ SCFTs. II: Construction of special Kähler geometries and RG flows, Geometric constraints on the space of $ \mathcal{N}=2$ SCFTs. III: Enhanced Coulomb branches and central charges, Yang-Mills interactions and gravity in terms of Clifford algebra, Black holes and singularity resolution in higher spin gravity, On string integrability: a journey through the two-dimensional hidden symmetries in the Ads/CFT dualities, From symmetry to supersymmetry, Twist as a symmetry principle and the noncommutative gauge theory formulation, Symmetries in quantum field theory and quantum gravity, Supersymmetric Killing structures, Analytic vectors, anomalies and star representations, Massive higher spins: effective theory and consistency, Cauchy conformal fields in dimensions ${d > 2}$, 3d conformal fields with manifest $sl (2, \mathbb{C} )$, Reflection positivity and invertible topological phases, On the problem of choosing subgroups of Clifford algebras for applications in fundamental physics, Spinor structure and internal symmetries, Spinor space, 2D fractional supersymmetry for rational conformal field theory: application for third-integer spin states, Symmetric superfluids, Integer superspin supercurrents of matter supermultiplets, The hidden symmetries of multi-centre metrics, Bidimensional supersymmetric field theories with discrete moduli space, $N=4$ topological strings, Integrable chiral theories in $2+1$ dimensions, The $N=4$ quantum conformal algebra, Higher-spin gauge interactions for massive matter fields in $3$D AdS space-time, The cosmological bootstrap: inflationary correlators from symmetries and singularities, Scattering amplitudes for all masses and spins, Twistor constructions for higher-spin extensions of (self-dual) Yang-Mills, A gravitational action with stringy $Q$ and $R$ fluxes via deformed differential graded Poisson algebras, $A_\infty$ algebras from slightly broken higher spin symmetries, Projectively-compact spinor vertices and space-time spin-locality in higher-spin theory, Unification of elementary forces in gauge $SL(2N, C)$ theories, Superconformal symmetry and maximal supergravity in various dimensions, Supersymmetry in physics: an algebraic overview, Fractional supersymmetry and infinite dimensional Lie algebras, The quantum geometry of supersymmetry and the generalized group extension problem, Constraining higher-spin $S$-matrices, Integrable field theories and their CCFT duals, Unfolded Fierz-Pauli equations in three-dimensional asymptotically flat spacetimes, Light-cone formalism for a point particle in a higher-spin background, The Landscape, the Swampland and the Era of Precision Cosmology, Saturating unitarity bounds at U-duality symmetric points, Argyres-Douglas avatars of Coulomb branch physics, A note on the asymptotic symmetries of electromagnetism, Asymptotic $\mathcal{O}(r)$ gauge symmetries and gauge-invariant Poincaré generators in higher spacetime dimensions, On convergence of form factor expansions in the infinite volume quantum sinh-Gordon model in $1+1$ dimensions, Spinorial higher-spin gauge theory from IKKT model in Euclidean and Minkowski signatures, On-shell supersymmetry and higher-spin amplitudes, Quantum spinor reflections in Minkowski spacetime, Simplifying (super-)BMS algebras, Product manifolds as realizations of general linear symmetries, Higher-spin Yang-Mills, amplitudes and self-duality, Basic introduction to higher-spin theories, Proof for the weak and the strong energy conditions theorems in Einstein-Yang-Mills theories, Local conserved charges in principal chiral models, Octions: An E8 description of the Standard Model, A ‘black hole theorem,’ and its implications, Scattering amplitudes in open superstring theory, Beyond the standard Higgs after the 125 GeV Higgs discovery, Mass-deformed BLG theory in light-cone superspace, A Mass-Splitting Theorem for General Definitions of Mass, Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff, Scattering amplitudes as multi-particle higher-spin charges in the correspondence space, Stability of proton and maximally symmetric minimal unification model for basic forces and building blocks of matter, Symmetric scalars, The first quantization of spin $\frac{3}{2}$ field in de Sitter space, On the symmetries of cosmological perturbations, Tetrads in low-energy weak interactions, Large $N$ field theories, string theory and gravity, Gauge principle revisited: Towards a unification of space–time and internal gauge interactions, The boostless bootstrap: amplitudes without Lorentz boosts, On the origin of Poincaré gauge gravity, (I,q)-graded Lie algebraic extensions of the Poincaré algebra, constraints on I and q, Dualities of fields and strings, A new integrable symplectic map by the binary nonlinearization to the super AKNS system, N=3 extended supersymmetric gauge theories and an explicit construction of higher conservation laws, An analogue of the Coleman-Mandula theorem for quantum field theory in curved spacetimes, A Poincaré covariant noncommutative spacetime, Generating mass without the Higgs particle, Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry), Interactions in higher-spin gravity: a holographic perspective, Generalized symmetries and Noether's theorem in QFT, Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes, A twistorial description of the IKKT-matrix model, Enlargeable graded Lie algebras of supersymmetry, Signature-causality reflection generated by Abelian gauge transformations, Modal-Hamiltonian interpretation of quantum mechanics and Casimir operators: the road toward quantum field theory, Tree-level color-kinematics duality implies loop-level color-kinematics duality up to counterterms, An investigation of (nonadditive) scattering invariants in classical mechanics and quantum theory by differential topological methods, Supersymmetric quantum chiral higher spin gravity, Gravitational orbits, double-twist mirage, and many-body scars, A black hole solution in conformal supergravity, Contributions to the muon $g - 2$ from a three-form field, Light-front higher-spin theories in flat space, The supergeometric algebra, Tetrads in SU(3) × SU(2) × U(1) Yang–Mills geometrodynamics, More on chiral higher spin gravity and convex geometry, On classical tensor categories attached to the irreducible representations of the general linear supergroups $GL(n|n)$, Comments on unparticles, Constraining conformal field theory with higher spin symmetry in four dimensions, Summational invariants, Unification mechanism for gauge and spacetime symmetries, A STUDY OF TWO-/ONE-FORM SUPERFIELDS, All possible local charges in a local quantum field theory: Massive case, Poincaré and sl(2) algebras of order 3, AMPLITUDES FOR gg→VV′ AND THEIR HIGH ENERGY SUSY CONSTRAINTS, Extended Weinberg–Witten theorem, Conformal field theories with infinitely many conservation laws, Higher-spin Chern-Simons theories in odd dimensions, TWO-DIMENSIONAL FRACTIONAL SUPERSYMMETRIC CONFORMAL FIELD THEORIES AND THE TWO-POINT FUNCTIONS, Polylogarithm Identities, Cluster Algebras and the $$\mathcal {N} = 4$$ Supersymmetric Theory, Thomas precession for dressed particles, THE PROCESSES $gg\to\tilde\chi^+_i\tilde\chi^-_j$, $\tilde\chi^0_i\tilde\chi^0_j$ AT HIGH ENERGIES, Hidden supersymmetry and quadratic deformations of the space-time conformal superalgebra, GAUGING INTERNAL FERMIONIC SYMMETRIES AND SPIN-3/2 FIELDS, Fractional supersymmetry and Fth-roots of representations, SOME FIELD-THEORETICAL ASPECTS OF TWO TYPES OF THE POINCARÉ GROUP REPRESENTATIONS, INTERSECTION OF YANG–MILLS THEORY WITH GAUGE DESCRIPTION OF GENERAL RELATIVITY, Higher symmetries in string theory, DIFFERENTIAL GEOMETRY FROM QUANTUM FIELD THEORY, Extended gauge theories in Euclidean space with higher spin fields, AdS superalgebras with brane charges, PARTICLE SPECTRUM OF NON-ABELIAN TENSOR GAUGE FIELDS, FIELD THEORETIC REALIZATIONS FOR CUBIC SUPERSYMMETRY, ELECTROWEAKLY INTERACTING SCALAR AND GAUGE BOSONS, AND LEPTONS, FROM FIELD EQUATIONS ON SPIN (5+1)-DIMENSIONAL SPACE, Supersymmetry in particle physics: the renormalization group viewpoint, Representation of quantum field theory in an extended spin space and fermion mass hierarchy, Democratic supersymmetry, The metric and strong coupling limit of the M5-brane, Trefoil symmetries I. Clover extensions beyond Coleman–Mandula theorem, Trefoil symmetry II. Another clover extension, Trefoil symmetry III. The full clover extension, Supersymmetries and their representations, Combined symmetries in curved space-times, Generalization of the Coleman–Mandula theorem to higher dimension, CONSIDERATIONS ON SUPER POINCARÉ ALGEBRAS AND THEIR EXTENSIONS TO SIMPLE SUPERALGEBRAS, Spinor algebras, HIDDEN SYMMETRIES IN QUANTUM FIELD THEORIES FROM EXTENDED COMPLEX NUMBERS, Scalar supersymmetry, Hopf algebras for ternary algebras, Higgs potential from Weyl conformal gravity, Symmetry algebra in gauge theories of gravity, EXTENSION OF THE POINCARÉ GROUP AND NON-ABELIAN TENSOR GAUGE FIELDS, Poincaré partially integrable local representations and mass-spectrum, INTEGRABLE THEORIES AND LOOP SPACES: FUNDAMENTALS, APPLICATIONS AND NEW DEVELOPMENTS, Conserved currents and symmetry transformations in local scattering theory, ON THE KALUZA–KLEIN GEOMETRIZATION OF THE ELECTROWEAK MODEL WITHIN A GAUGE THEORY OF THE FIVE-DIMENSIONAL LORENTZ GROUP, An axiomatic framework for supersymmetries, Gravity and unification: a review, LEPTONIC ELECTROWEAK SPIN-TORSION INTERACTIONS, Cosmological shapes of higher-spin gravity, Extensions of the Poincaré group, Scalar fields in 3D asymptotically flat higher-spin gravity, Non relativistic limit of integrable QFT with fermionic excitations

Cites Work