Anomaly Matching Conditions and the Moduli Space of Supersymmetric Gauge Theories
نویسندگان
چکیده
The structure of the moduli space of N = 1 supersymmetric gauge theories is analyzed from an algebraic geometric viewpoint. The connection between the fundamental fields of the ultraviolet theory, and the gauge invariant composite fields of the infrared theory is explained in detail. The results are then used to prove an anomaly matching theorem. The theorem is used to study anomaly matching for supersymmetric QCD, and can explain all the known anomaly matching results for this case. Typeset using REVTEX
منابع مشابه
Supersymmetric Gauge Theories with an Affine Quantum Moduli Space
All supersymmetric gauge theories based on simple groups which have an affine quantum moduli space, i.e. one generated by gauge invariants with no relations, W = 0, and anomaly matching at the origin, are classified. It is shown that the only theories with no gauge invariants (and moduli space equal to a single point) are the two known examples, SU(5) with 5 + 10 and SO(10) with a spinor. The i...
متن کاملAnomaly Matching Conditions in Supersymmetric Gauge Theories
Sufficient conditions are proven for ’t Hooft’s consistency conditions to hold at points in the moduli space of supersymmetric gauge theories. Known results for anomaly matching in supersymmetric QCD are rederived as a sample application of the results. The results can be used to show that the anomaly matching conditions hold for s-confining theories. Typeset using REVTEX 1 One important constr...
متن کاملAnomaly Matching and Syzygies in N =1 Gauge Theories
We investigate the connection between the moduli space of N = 1 supersymmetric gauge theories and the set of polynomial gauge invariants constrained by classical/quantum relations called syzygies. We examine the existence of a superpotential reproducing these syzygies and the link with the 't Hooft anomaly matching between the fundamental fields at high energy and the gauge invariant degrees of...
متن کاملInduced charge matching and Wess–Zumino term on quantum modified moduli space
Recently it was proposed that matching of global charges induced in vacuum by slowly varying, topologically non-trivial scalar fields provides consistency conditions analogous to the ’t Hooft anomaly matching conditions. We study matching of induced charges in supersymmetric SU(N) gauge theories with quantum modified moduli space. We find that the Wess–Zumino term should be present in the low e...
متن کامل’t HOOFT ANOMALY MATCHING FOR DISCRETE SYMMETRIES
We show how to extend the ’t Hooft anomaly matching conditions to discrete symmetries. We check these discrete anomaly matching conditions on several proposed low-energy spectra of certain strongly interacting gauge theories. The excluded examples include the proposed chirally symmetric vacuum of pure N = 1 supersymmetric Yang-Mills theories, certain nonsupersymmetric confining theories and som...
متن کامل