Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2021)205
Keywords
Extended Supersymmetry; Supersymmetric Gauge Theory; Supersymmetry and Duality; Conformal Field Theory
Categories
Funding
- JSPS [18K13547]
- [19J11212]
- Grants-in-Aid for Scientific Research [18K13547] Funding Source: KAKEN
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This study introduces a new formula for the instanton partition functions of specific four-dimensional gauge theories, and also explores the relationships between these theories and others.
We propose a Nekrasov-type formula for the instanton partition functions of four-dimensional N = 2 U(2) gauge theories coupled to (A(1), D-2n) Argyres-Douglas theories. This is carried out by extending the generalized AGT correspondence to the case of U(2) gauge group, which requires us to define irregular states of the direct sum of Virasoro and Heisenberg algebras. Using our formula, one can evaluate the contribution of the (A(1), D-2n) theory at each fixed point on the U(2) instanton moduli space. As an application, we evaluate the instanton partition function of the (A(3), A(3)) theory to find it in a peculiar relation to that of SU(2) gauge theory with four fundamental flavors. From this relation, we read off how the S-duality group acts on the UV gauge coupling of the (A(3), A(3)) theory.
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