New theories in six dimensions and matrix description of M-theory on T5 and

1997/05/31 by Nathan Seiberg · 19 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Field theory (psychology) #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #String (physics) #String theory #Symmetry (geometry) #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)00805-8

published as Phys.Lett.B408:98-104,1997 · harvmac, 13 pages, minor changes

arxiv created 1997/06/03 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present four infinite series of new quantum theories with super-Poincare symmetry in six dimensions, which are not local quantum field theories. They have string like excitations but the string coupling is of order one. Compactifying these theories on T⁵ we find a Matrix theory description of M theory on T⁵ and on T⁵/\IZ₂, which is well defined and is manifestly U-duality invariant.

Citations

• Heterotic phase transitions and singularities of the gauge dyonic string
• Orbifolds of M-theory
• BPS spectrum of the five-brane and black hole entropy
• Mtheory as a matrix model: A conjecture
• BPS quantization of the five-brane
• D-brane field theory on compact spaces

Cited by

• Pinned branes and new non Lorentz invariant theories
• Thermodynamics of the near-extremal NS5-brane
• Little string amplitudes (and the unreasonable effectiveness of 6D SYM)
• A self-tuning mechanism in (3 + p)d gravity-scalar theory
• Fivebranes from gauge theory
• New perspectives on Yang-Mills theories with sixteen supersymmetries
• Rigid Holography and Six-Dimensional N=(2,0) Theories on AdS₅ times S¹
• The gravity dual of the non-perturbativeN = 2 supersymmetric Yang-Mills theory
• A clockwork solution to the flavor puzzle
• Little strings on D n orbifolds
• A note on 4d N=3 from little string theory
• Heterotic resolved conifolds with torsion, from supergravity to CFT
• 2-Group global symmetries and anomalies in six-dimensional quantum field theories
• On Toda equation and half BPS supergravity solution in M-theory
• F-theory and the classification of little strings
• LargeNgauge theories and topological cigars
• Non-perturbative Symmetries of Little Strings and Affine Quiver Algebras
• Deconstructing (2,0) and Little String Theories
• Self-duality and self-similarity of little string orbifolds