Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories

Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth

doi:10.1007/JHEP10(2016)080

Title: Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories

Journal Article · Mon Oct 17 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2016)080· OSTI ID:1425881

Córdova, Clay ^[1]; Dumitrescu, Thomas T. ^[1]; Intriligator, Kenneth ^[2]

Harvard Univ., Cambridge, MA (United States)
Univ. of California, San Diego, CA (United States)

We establish a linear relation between the a-type Weyl anomaly and the ’t Hooft anomaly coeffcients for the R-symmetry and gravitational anomalies in sixdimensional (1,0) superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch Δa to the square of a four-derivative interaction for the dilaton. This establishes the a-theorem for all such flows. The four-derivative dilaton interaction is in turn related to the Green-Schwarz-like terms that are needed to match the ’t Hooft anomalies on the tensor branch, thus fixing their relation to Δa. We use our formula to obtain exact expressions for the a-anomaly of N small E₈ instantons, as well as N M₅-branes probing an orbifold singularity, and verify the a-theorem for RG flows onto their Higgs branches. We also discuss aspects of supersymmetric RG flows that terminate in scale but not conformally invariant theories with massless gauge fields.

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0007870

OSTI ID:: 1425881

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1 work

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