English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We examine the equivalence between the Konishi anomaly equations and thematrix model loop equations in N=1* gauge theories, the mass deformation of N=4supersymmetric Yang-Mills. We perform the superfunctional integral of twoadjoint chiral superfields to obtain an effective N=1 theory of the thirdadjoint chiral superfield. By choosing an appropriate holomorphic variation,the Konishi anomaly equations correctly reproduce the loop equations in thecorresponding three-matrix model. We write down the field theory loop equationsexplicitly by using a noncommutative product of resolvents peculiar to N=1*theories. The field theory resolvents are identified with those in the matrixmodel in the same manner as for the generic N=1 gauge theories. We cover allthe classical gauge groups. In SO/Sp cases, both the one-loop holomorphicpotential and the Konishi anomaly term involve twisting of index loops tochange a one-loop oriented diagram to an unoriented diagram. The field theoryloop equations for these cases show certain inhomogeneous terms suggesting thematrix model loop equations for the RP2 resolvent.Comment: 23 pages, 3 figures, latex2e, v4: minor changes in introduction and  conclusions, 4 references are added, version to appear in JHE

Chiral rings, anomalies and loop equations in Script N = 1* gauge theories