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The ABCDEFG of Instantons and W-algebras

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arxiv 1111.5624 v4 pith:7BSFQQMY submitted 2011-11-23 hep-th

The ABCDEFG of Instantons and W-algebras

classification hep-th
keywords coherentgaugegroupsstatew-algebraabcdefgarbitrarycertain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm of a certain coherent state of the corresponding W-algebra. For non-simply-laced gauge groups, we confirm in particular that the coherent state is in the twisted sector of a simply-laced W-algebra.

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Cited by 2 Pith papers

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  2. Integrals of motion in $WE_6$ CFT and the ODE/IM correspondence

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    Period integrals from the E6 ODE WKB expansion match eigenvalues of WE6 CFT integrals of motion up to sixth order.