Relation between large dimension operators and oscillator algebra of Young diagrams

DOI10.1142/S0219887815500474zbMath1316.81072arXiv1407.7815MaRDI QIDQ5255216

Hai Lin

Publication date: 12 June 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7815

zbMATH Keywords

permutationYoung diagramgauge theorygauge/gravity correspondencelarge dimension operator

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) String and superstring theories in gravitational theory (83E30) Yang-Mills and other gauge theories in quantum field theory (81T13) Gravitational interaction in quantum theory (81V17) Groups and algebras in quantum theory and relations with integrable systems (81R12) Linear operators in algebras (47C05)

Related Items

Anomalous dimensions of heavy operators from magnon energies ⋮ Generating functions for giant graviton bound states ⋮ Oscillating multiple giants ⋮ Negative anomalous dimensions in \(\mathcal{N} = 4\) SYM ⋮ Central charges for the double coset ⋮ Interacting emergent Yang-Mills theory

Cites Work

• Restricted Schur polynomials for fermions and integrability in the \(\mathrm{su}(2| 3)\) sector
• Branes, anti-branes and Brauer algebras in gauge-gravity duality
• Nonplanar integrability
• Giant graviton oscillators
• Gauge theory correlators from non-critical string theory
• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• A double coset ansatz for integrability in AdS/CFT
• Exact correlators of giant gravitons from dual \(N=4\) SYM theory.
• Young diagrams, Brauer algebras, and bubbling geometries
• Quarter BPS classified by Brauer algebra
• NONPLANAR INTEGRABILITY: BEYOND THE SU(2) SECTOR
• Invasion of the giant gravitons from anti-de Sitter space

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