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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2017
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| Accès en ligne: | https://arxiv.org/abs/1711.11065 |
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| _version_ | 1866929518638268416 |
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| author | Haouzi, Nathan Kozçaz, Can |
| author_facet | Haouzi, Nathan Kozçaz, Can |
| contents | Starting from type IIB string theory on an $ADE$ singularity, the $(2,0)$ little string arises when one takes the string coupling $g_s$ to 0. In this setup, we give a unified description of the codimension-two defects of the little string, labeled by a simple Lie algebra ${\mathfrak{g}}$. Geometrically, these are D5 branes wrapping 2-cycles of the singularity, subject to a certain folding operation when the algebra is non simply-laced. Equivalently, the defects are specified by a certain set of weights of $^L {\mathfrak{g}}$, the Langlands dual of ${\mathfrak{g}}$. As a first application, we show that the instanton partition function of the ${\mathfrak{g}}$-type quiver gauge theory on the defect is equal to a 3-point conformal block of the ${\mathfrak{g}}$-type deformed Toda theory in the Coulomb gas formalism. As a second application, we argue that in the $(2,0)$ CFT limit, the Coulomb branch of the defects flows to a nilpotent orbit of ${\mathfrak{g}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_11065 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | The ABCDEFG of Little Strings Haouzi, Nathan Kozçaz, Can High Energy Physics - Theory Representation Theory Starting from type IIB string theory on an $ADE$ singularity, the $(2,0)$ little string arises when one takes the string coupling $g_s$ to 0. In this setup, we give a unified description of the codimension-two defects of the little string, labeled by a simple Lie algebra ${\mathfrak{g}}$. Geometrically, these are D5 branes wrapping 2-cycles of the singularity, subject to a certain folding operation when the algebra is non simply-laced. Equivalently, the defects are specified by a certain set of weights of $^L {\mathfrak{g}}$, the Langlands dual of ${\mathfrak{g}}$. As a first application, we show that the instanton partition function of the ${\mathfrak{g}}$-type quiver gauge theory on the defect is equal to a 3-point conformal block of the ${\mathfrak{g}}$-type deformed Toda theory in the Coulomb gas formalism. As a second application, we argue that in the $(2,0)$ CFT limit, the Coulomb branch of the defects flows to a nilpotent orbit of ${\mathfrak{g}}$. |
| title | The ABCDEFG of Little Strings |
| topic | High Energy Physics - Theory Representation Theory |
| url | https://arxiv.org/abs/1711.11065 |