Little string origin of surface defects. (English) Zbl 1380.83256
Summary: We derive a large class of codimension-two defects of 4d \(\mathcal{N}=4 \) Super Yang-Mills (SYM) theory from the (2, 0) little string. The origin of the little string is type IIB theory compactified on an ADE singularity. The defects are D-branes wrapping the 2-cycles of the singularity. We use this construction to make contact with the description of SYM defects due to S. Gukov and E. Witten, “Gauge theory, ramification, and the geometric Langlands program” in [arXiv:hep-th/0612073]. Furthermore, we provide a geometric perspective on the nilpotent orbit classification of codimension-two defects, and the connection to ADE-type Toda CFT. The only data needed to specify the defects is a set of weights of the algebra obeying certain constraints, which we give explicitly. We highlight the differences between the defect classification in the little string theory and its (2, 0) CFT limit.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
Keywords:
ADE-type Toda CFT; conformal and W symmetry; conformal field models in string theory; conformal field theory; supersymmetric gauge theorySoftware:
MathematicaReferences:
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