RG fixed points and flows in SQCD with adjoints

We explore new IR phenomena and dualities, arising for product groups, in the context of N = 1 supersymmetric gauge theories. The RG running of the multiple couplings can radically affect each other. For example, an otherwise IR interacting coupling can be driven to be instead IR free by an arbitrarily small, but non-zero, initial value of another coupling.Or an otherwise IR free coupling can be driven to be instead IR interacting by an arbitrarily small non-zero initial value of another coupling. We explore these and other phenomena in N = 1 examples, where exact results can be obtained using a-maximization. We also explore the various possible dual gauge theories, e.g. by dualizing one gauge group with the other treated as a weakly gauged flavor symmetry, along with previously proposed duals for the theories deformed by A k -type Landau-Ginzburg superpotentials. We note that this latter duality, and all similar duality examples, always have non-empty superconformal windows within which both the electric and dual A k superpotentials are relevant.

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“…See e.g. [14][15][16][17][18][19][20][21] for further applications and extensions of a-maximization.…”

Section: Introductionmentioning

confidence: 99%

RG flows, product groups, and a-maximization

et al. 2005

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“…One interesting result was the demonstration [1] that in an N = 1 superconformal field theory, the R-current that appears in the superconformal multiplet (and thus can be used to determine the scaling dimensions of chiral operators) locally maximizes the combination of triangle anomalies a = 3trR 3 − trR (1.1) over the set of all possible R-currents. This observation is especially useful in theories in which the infrared R-current is preserved throughout the renormalization group (RG) flow.…”

Section: Introductionmentioning

confidence: 99%

“…This can only happen when the IR fixed point is sufficiently far from the UV one (i.e. non-perturbatively), but since the techniques of [1] are expected to be valid in a finite region in coupling space [1][2][3][4], this possibility needs to be considered. While gauge interactions tend to reduce the Rcharges, superpotentials often have the opposite effect.…”

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confidence: 99%

Lagrange multipliers and couplings in supersymmetric field theory

2004

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In hep-th/0312098 it was argued that by extending the "a-maximization" of hepth/0304128 away from fixed points of the renormalization group, one can compute the anomalous dimensions of chiral superfields along the flow, and obtain a better understanding of the irreversibility of RG flow in four dimensional supersymmetric field theory.According to this proposal, the role of the running couplings is played by certain Lagrange multipliers that are introduced in the construction. We show that one can choose a parametrization of the space of couplings in which the Lagrange multipliers can indeed be identified with the couplings, and discuss the consequences of this for weakly coupled gauge theory. 8/2004

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“…When interactions are present, we maximize a(R) requiring the interactions to preserve the R-symmetry. Accidental symmetries, if present, affect a-maximization [94,95] yielding a larger value of a. …”

Section: A-maximizationmentioning

confidence: 99%

Asymptotically safe grand unification

Bajc

Sannino

2016

J. High Energ. Phys.

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Phenomenologically appealing supersymmetric grand unified theories have large gauge representations and thus are not asymptotically free. Their ultraviolet validity is limited by the appearance of a Landau pole well before the Planck scale. One could hope that these theories save themselves, before the inclusion of gravity, by generating an interacting ultraviolet fixed point, similar to the one recently discovered in non-supersymmetric gauge-Yukawa theories. Employing a-maximization, a-theorem, unitarity bounds, as well as positivity of other central charges we nonperturbatively rule out this possibility for a broad class of prime candidates of phenomenologically relevant supersymmetric grand unified theories. We also uncover candidates passing these tests, which have either exotic matter or contain one field decoupled from the superpotential. The latter class of theories contains a model with the minimal matter content required by phenomenology.

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RG fixed points and flows in SQCD with adjoints

Cited by 71 publications

References 30 publications

RG flows, product groups, and a-maximization

RG flows, product groups, and a-maximization

Lagrange multipliers and couplings in supersymmetric field theory

Asymptotically safe grand unification

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