Minimal unitary representation of \(SO^{*}(8)=SO(6,2)\) and its \(SU(2)\) deformations as massless 6D conformal fields and their supersymmetric extensions
From MaRDI portal
Publication:631988
DOI10.1016/j.nuclphysb.2010.07.001zbMath1207.81116arXiv1005.3580OpenAlexW1597659328MaRDI QIDQ631988
Sudarshan Fernando, Murat Gunaydin
Publication date: 14 March 2011
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.3580
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Kaluza-Klein and other higher-dimensional theories (83E15) Induced representations for locally compact groups (22D30)
Related Items
Notes on higher-spin algebras: minimal representations and structure constants ⋮ Deformed twistors and higher spin conformal (super-)algebras in six dimensions ⋮ Exceptional \(F(4)\) higher-spin theory in \(\mathrm{AdS}_{6}\) at one-loop and other tests of duality ⋮ Characteristic cohomology and observables in higher spin gravity ⋮ Spectrum generating conformal and quasiconformal U-duality groups, supergravity and spherical vectors ⋮ Formal higher spin gravities ⋮ Minimal unitary representation of 5\(d\) superconformal algebra \(\text{F}(4)\) and \(\text{AdS}_6 / \text{CFT}_5\) higher spin (super)-algebras ⋮ A twistorial description of the IKKT-matrix model ⋮ \(SU(2)\) deformations of the minimal unitary representation of \(OSp(8^{*}|2N)\) as massless 6D conformal supermultiplets ⋮ ON THE UNIQUENESS OF HIGHER-SPIN SYMMETRIES IN ADS AND CFT ⋮ Deformed twistors and higher spin conformal (super-)algebras in four dimensions ⋮ Superconformal symmetry and maximal supergravity in various dimensions ⋮ Massless conformal fields, \(\mathrm{AdS}_{(d+1)}/\mathrm{CFT}_{d}\) higher spin algebras and their deformations
Cites Work
- \(\mathcal N= 8\) supergravity 4-point amplitudes
- Gauge theory correlators from non-critical string theory
- The \(\mathfrak{so}(d+2,2)\) minimal representation and ambient tractors: the conformal geometry of momentum space
- The minimal unitary representation of \(E_{8(8)}\)
- Unitary representations of noncompact supergroups
- Quasi-conformal actions, quaternionic discrete series and twistors: \(\text{SU}(2, 1)\) and \(\text{G} _{2(2)}\)
- 4-dimensional black holes from Kaluza-Klein theories
- Oscillator-like unitary representations of non-compact groups with a Jordan structure and the non-compact groups of supergravity
- The large \(N\) limit of superconformal field theories and supergravity
- Anti de Sitter space and holography
- Restrictions imposed by superconformal invariance on quantum field theories
- Minimal representations, spherical vectors and exceptional theta series
- Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry.
- Analysis on the minimal representation of \(\mathrm O(p,q)\). II: Branching laws.
- Analysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\)
- 4D doubleton conformal theories, CPT and IIB strings on \(\text{AdS}_ 5\times S^ 5\).
- Novel supermultiplets of \(\text{SU}(2,2|4)\) and the \(\text{AdS}_5/\text{CFT}_4\) duality
- Representations of \((1,0)\) and \((2,0)\) superconformal algebras in six dimensions: Massless and short superfields
- Unitarization of a singular representation of \(\text{SO}(p,q)\)
- Minimal realizations and spectrum generating algebras
- What is the simplest quantum field theory?
- Representations of superconformal algebras in the AdS7/4/CFT6/3 correspondence
- Nondecoupling of Maximal Supergravity from the Superstring
- On cancellations of ultraviolet divergences in supergravity amplitudes
- Unitary highest weight representations of noncompact supergroups
- Unitary lowest weight representations of the noncompact supergroup OSp(2m*/2n)
- ORBITS OF EXCEPTIONAL GROUPS, DUALITY AND BPS STATES IN STRING THEORY
- Minimal representations, geometric quantization, and unitarity.
- Positive energy unitary irreducible representations of D $equal$ 6 conformal supersymmetry
- Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R)
- Supersymmetries and their representations
- Minimal unitary representation of SU(2,2) and its deformations as massless conformal fields and their supersymmetric extensions
- A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
- Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup
- Unitary supermultiplets of \(\text{OSp}(8^*|4)\) and the \(\text{AdS}_7/\text{CFT}_6\) duality
- Conformal and quasiconformal realizations of exceptional Lie groups
- Supercoherent states of OSp\((8^*|2N)\), conformal superfields and the AdS\(_7\)/CFT\(_6\) duality
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
