4,508 research outputs found

    The refined BPS index from stable pair invariants

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    On the Moduli Space of SU(3) Seiberg-Witten Theory with Matter

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    We present a qualitative model of the Coulomb branch of the moduli space of low-energy effective N=2 SQCD with gauge group SU(3) and up to five flavours of massive matter. Overall, away from double cores, we find a situation broadly similar to the case with no matter, but with additional complexity due to the proliferation of extra BPS states. We also include a revised version of the pure SU(3) model which can accommodate just the orthodox weak coupling spectrum.Comment: 32 pages, 25 figures, uses JHEP.cls, added references, deleted joke

    Absolute rate parameters for the reaction of ground state atomic oxygen with carbonyl sulfide

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    The rate parameters for the reaction of O(3P) with carbonyl sulfide, O(3P) + OCS yields CO + SO have been determined directly by monitoring O(3P) using the flash photolysis-resonance fluorescence technique. The value for k sub 1 was measured over a temperature range of 263 - 502 K and the data were fitted to an Arrhenuis expression with good linearity

    Elliptic blowup equations for 6d SCFTs. Part II: Exceptional cases

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    The building blocks of 6d (1,0)(1,0) SCFTs include certain rank one theories with gauge group G=SU(3),SO(8),F4,E6,7,8G=SU(3),SO(8),F_4,E_{6,7,8}. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d N=2\mathcal{N}=2 superconformal HGH_{G} theories. We also observe an intriguing relation between the kk-string elliptic genus and the Schur indices of rank kk HGH_{G} SCFTs, as a generalization of Lockhart-Zotto's conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters

    On the weak coupling spectrum of N=2 supersymmetric SU(n) gauge theory

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    The weak coupling spectrum of BPS saturated states of pure N=2N=2 supersymmetric SU(n)(n) gauge theory is investigated. The method uses known results on the dyon spectrum of the analogous theory with N=4N=4 supersymmetry, along with the action on these states of the semi-classical monodromy transformations. For dyons whose magnetic charge is not a simple root of the Lie algebra, it is found that the weak coupling region is divided into a series of domains, for which the dyons have different electric charge, separated by walls on which the dyons decay. The proposed spectrum is shown to be consistent with the exact solution of the theory at strong coupling in the sense that the states at weak coupling can account for the singularities at strong coupling.Comment: 19 pages, plain tex with macro included, 6 figures included using psfig.te
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