nLab little string theory

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Contents

Contents

Idea

A limit of the worldvolume theory of the NS5-brane, which is a string theory of “little strings” in six dimensions.

Table of branes appearing in supergravity/string theory (for classification see at brane scan).

branein supergravitycharged under gauge fieldhas worldvolume theory
black branesupergravityhigher gauge fieldSCFT
D-branetype IIRR-fieldsuper Yang-Mills theory
(D=2n)(D = 2n)type IIA\,\,
D(-2)-brane\,\,
D0-brane\,\,BFSS matrix model
D2-brane\,\,\,
D4-brane\,\,D=5 super Yang-Mills theory with Khovanov homology observables
D6-brane\,\,D=7 super Yang-Mills theory
D8-brane\,\,
(D=2n+1)(D = 2n+1)type IIB\,\,
D(-1)-brane\,\,\,
D1-brane\,\,2d CFT with BH entropy
D3-brane\,\,N=4 D=4 super Yang-Mills theory
D5-brane\,\,\,
D7-brane\,\,\,
D9-brane\,\,\,
(p,q)-string\,\,\,
(D25-brane)(bosonic string theory)
NS-branetype I, II, heteroticcircle n-connection\,
string\,B2-field2d SCFT
NS5-brane\,B6-fieldlittle string theory
D-brane for topological string\,
A-brane\,
B-brane\,
M-brane11D SuGra/M-theorycircle n-connection\,
M2-brane\,C3-fieldABJM theory, BLG model
M5-brane\,C6-field6d (2,0)-superconformal QFT
M9-brane/O9-planeheterotic string theory
M-wave
topological M2-branetopological M-theoryC3-field on G₂-manifold
topological M5-brane\,C6-field on G₂-manifold
S-brane
SM2-brane,
membrane instanton
M5-brane instanton
D3-brane instanton
solitons on M5-brane6d (2,0)-superconformal QFT
self-dual stringself-dual B-field
3-brane in 6d

References

General

The original reference is

  • Nathan Seiberg, New theories in six dimensions and matrix description of M-theory on T 5T^5 and T 5/ 2T^5/\mathbb{Z}_2 Phys. Lett. B408 (1997) 98–104 (arXiv:hep-th/9705221)

Review is in

Little string theories on heterotic string theory NS5-branes with N=(1,0)N = (1,0) supersymmetry:

  • E. Gava, K.S. Narain, M.H. Sarmadi, Little String Theories in Heterotic Backgrounds, Nucl.Phys. B626 (2002) 3-25 (arXiv:hep-th/0112200)

and via F-theory methods:

The T-duality between type IIA and type IIB little strings is discussed in

  • Jungmin Kim, Seok Kim, Kimyeong Lee, Little strings and T-duality, JHEP 2016:170 (arXiv:1503.07277)

Construction within F-theory is discussed in

See also

On D=3 N=4 super Yang-Mills theories with compact hyperkähler manifold Coulomb branches obtained by KK-compactification of little string theories:

Relation of little string theory to the quantum geometric Langlands correspondence is discussed in

also

Discussion with emphasis on terminology from higher gauge theory:

Open Dpp-brane theories

For light D-branes ending on NS5-branes (see there)

See also

  • Dan Israel, Ari Pakman, Jan Troost, D-branes in Little String Theory, Nucl.Phys. B722 (2005) 3-64 (arXiv:hep-th/0502073)

Via the plane wave matrix model

On a double-scaling limit of the BMN matrix model in which aspects of little string theory become visible:

Last revised on August 16, 2023 at 05:04:27. See the history of this page for a list of all contributions to it.