Finiteness in rigid supersymmetric theories

Requiring the soft supersymmetry-breaking (SSB) parameters in finite gauge-Yukawa unified models to be finite up to and including two-loop order, we derive a two-loop sum rule for the soft scalar-masses. It is shown that this sum rule coincides with that of a certain class of string models in which the massive string states are organized into N = 4 supermultiplets. We investigate the SSB sector of two finite SU(5) models. Using the sum rule which allows the non-universality of the SSB terms and requiring that the lightest superparticle particleis neutral, we constrain the parameter space of the SSB sector in each model.

show abstract

“…(12). Note that we have not shown that the sum rule (10) is the unique solution for [β (2) m 2 ] j i .…”

Section: Two-loop Finite Ssb Termsmentioning

confidence: 82%

Constraints on finite soft supersymmetry-breaking terms

et al. 1998

View full text Add to dashboard Cite

show abstract

“…The quantity γ (1) λ is the one-loop contribution to the anomalous dimension of O from the single-trace interactions. The double-trace interaction also contributes to the renormalization of O, so that the full result for its one-loop anomalous dimension is…”

Section: Double-trace Renormalization To All Ordersmentioning

confidence: 99%

“…While perturbatively finite supersymmetric QFTs have been known for a long time [1] and a vast zoo of non-perturbative supersymmetric examples was discovered during the duality revolution of the 1990s, only few non-supersymmetric, interacting CFTs in d = 4 are presently known. 1 The AdS/CFT correspondence [3][4][5] seems to offer an easy route to several more examples. A well-known construction [6,7] starts by placing a stack of N D3 branes at an orbifold singularity R 6 /Γ.…”

Section: Introductionmentioning

confidence: 99%

LargeNfield theory and AdS tachyons

Pomoni

Rastelli

2009

J. High Energy Phys.

130

View full text Add to dashboard Cite

In non-supersymmetric orbifolds of N = 4 super Yang-Mills, conformal invariance is broken by the logarithmic running of double-trace operators -a leading effect at large N . A tachyonic instability in AdS 5 has been proposed as the bulk dual of doubletrace running. In this paper we make this correspondence more precise. By standard field theory methods, we show that the double-trace beta function is quadratic in the coupling, to all orders in planar perturbation theory. Tuning the double-trace coupling to its (complex) fixed point, we find conformal dimensions of the form 2 ± i b(λ), as formally expected for operators dual to bulk scalars that violate the stability bound. We also show that conformal invariance is broken in perturbation theory if and only if dynamical symmetry breaking occurs. Our analysis is applicable to a general large N field theory with vanishing single-trace beta functions.

show abstract

“…the function .7) is unknown beyond the twoloop order in perturbation theory [9]. One approach, followed in [27], is to work to the leading order in perturbation theory in deformations, in which case γ is known.…”

Section: Jhep02(2006)040mentioning

confidence: 99%

“…Then we expect corrections on the right hand side of (4.8) suppressed by powers of g or h. One can in principle solve the corrected constraint in terms of h order by order in g and substitute this solution for h into the bare superpotential (4.3). This would amount to fine-tuning the bare deformation order by order in g. It is this fine-tuned theory which has to be conformally invariant [9]. This fine-tuning is designed to force the anomalous dimensions and the beta-function vanish (thus removing UV-divergencies from planar amplitudes) via cancellations between diagrams with different numbers of loops.…”

Section: Jhep02(2006)040mentioning

confidence: 99%

Amplitudes in the β-deformed conformal Yang-Mills

Khoze¹

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We study perturbative amplitudes in a large class of theories obtained by marginal deformations of the N = 4 supersymmetric Yang-Mills. We find that planar amplitudes in the deformed theories are closely related to planar amplitudes in the original N = 4 SYM. For some classes of deformations the amplitudes essentially coincide with the N = 4 amplitudes to all orders in planar perturbation theory. For more general classes of marginal deformations, the equivalence holds at up to four loops, and at five loops it is likely to break down. This implies that the iterative structure of planar MHV amplitudes recently discovered by Bern, Dixon and Smirnov in [1] for the N = 4 theory also manifests itself in a wider class of theories.

show abstract

Finiteness in rigid supersymmetric theories

Cited by 202 publications

References 23 publications

Constraints on finite soft supersymmetry-breaking terms

Constraints on finite soft supersymmetry-breaking terms

LargeNfield theory and AdS tachyons

Amplitudes in the β-deformed conformal Yang-Mills

Contact Info

Product

Resources

About