Misleading anomaly matchings?

Brodie, John H.; Cho, Peter; Intriligator, Kenneth

doi:10.1016/s0370-2693(98)00353-0

Cited by 36 publications

(58 citation statements)

References 23 publications

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“…If we use these formulas to evaluate (1.1) on M 3 = S 3 we may run into a problem: in general the integral expression for Z S 3 converges only for R-charge assignments in a certain range [39][40][41][42]. In the typical examples of gauge theories with vector-like matter in the fundamental representation, the 4d non-anomalous R-symmetry falls in the range that makes the Z S 3 integral convergent, but in some more exotic examples [43,44] it falls outside and the resulting integral is exponentially divergent. The possible divergences manifest in the limit β → 0 through a modification of the asymptotic formula (1.1).…”

Section: Jhep04(2017)055mentioning

confidence: 99%

“…There are few known examples [43,44] so far of theories with V eff M 3 (a min ) < 0, and they share some intriguing features: 1) the unbroken R-symmetry has Tr(R) > 0, which implies that in absence of emergent symmetries the IR SCFTs will have c − a < 0; 2) they are examples of so-called "misleading anomaly matching" [43], meaning that all 't Hooft anomalies are matched by a putative confined phase, but various arguments rule out this possibility and point to the existence of an interacting IR phase (see also [45][46][47][48]). We will analyze a large class of examples and find that in all these theories the potential is minimized in the origin when Tr(R) ≤ 0.…”

Section: (13)mentioning

confidence: 99%

“…The N f = 1 case is known as BCI model [44], which was analyzed in [1] for the N = 2n + 1 case. Since T (S 2 ) = 2(N + 2), Tr(R) in this class of theory is given by Tr(R) = N − 1 > 0 .…”

Section: C12 So(n ) Theory With Two-index Symmetric Representation Smentioning

confidence: 99%

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Cardy formula for 4d SUSY theories and localization

Pietro

Honda

2017

J. High Energ. Phys.

119

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Abstract:We study 4d N = 1 supersymmetric theories on a compact Euclidean manifold of the form S 1 × M 3 . Partition functions of gauge theories on this background can be computed using localization, and explicit formulas have been derived for different choices of the compact manifold M 3 . Taking the limit of shrinking S 1 , we present a general formula for the limit of the localization integrand, derived by simple effective theory considerations, generalizing the result of [1]. The limit is given in terms of an effective potential for the holonomies around the S 1 , whose minima determine the asymptotic behavior of the partition function. If the potential is minimized in the origin, where it vanishes, the partition function has a Cardy-like behavior fixed by Tr(R), while a nontrivial minimum gives a shift in the coefficient. In all the examples that we consider, the origin is a minimum if Tr(R) ≤ 0.

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Section: Jhep04(2017)055mentioning

confidence: 99%

Section: (13)mentioning

confidence: 99%

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Cardy formula for 4d SUSY theories and localization

Pietro

Honda

2017

J. High Energ. Phys.

119

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“…In [9] it was pointed out that highly non-trivial anomaly matching, suggesting confined IR free fields, can sometimes be a misleading fluke. The example of [9] was SO(N ) with a matter field S in the .…”

Section: Misleading Anomaly Matching Examplesmentioning

confidence: 99%

“…One particular, and still unsettled, example that we'll discuss further in what follows is N = 1 supersymmetric SU (2) gauge theory with a matter chiral superfield in the I = 3/2 representation [8]. But it was pointed out in [9] that there are other examples, where highly non-trivial 't Hooft anomaly matching, suggesting IR free confinement, can be a misleading fluke -and the IR theory is instead interacting conformal.…”

Section: Introductionmentioning

confidence: 96%

IR free or interacting? A proposed diagnostic

Intriligator

2005

Nuclear Physics B

Self Cite

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Einstein Drive, Princeton NJ 08540We present and discuss a conjectured criterion for determining whether a 4d quantum field theory is IR free, or flows to an interacting conformal field theory in the infrared: "the correct infrared phase is that with the larger conformal anomaly a". A stronger conjecture is that "an operator can become IR free only if that results in a larger conformal anomaly a". We test these conjectures in the context of N = 1 supersymmetric theories. They are verified to indeed predict the correct IR phase in every tested case, for a plethora of examples for which the infrared phase could already be determined on other grounds.When applied to the still unsettled case of SU (2) with a chiral superfield in the isospin 3/2 representation, the conjecture suggest that the IR phase is conformal rather than confining. September 20051 Sabbatical address, Sept. '05 to June '06.

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S‐duality in orientifold SCFTs

García-Etxebarria

Heidenreich

2017

Fortschritte der Physik

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We present a general solution to the problem of determining all S‐dual descriptions for a specific (but very rich) class of N=1 SCFTs. These SCFTs are indexed by decorated toric diagrams, and can be engineered in string theory by probing orientifolds of isolated toric singularities with D3 branes. The S‐dual phases are described by quiver gauge theories coupled to specific types of conformal matter which we describe explicitly. We illustrate our construction with many examples, including S‐dualities in previously unknown SCFTs.

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Misleading anomaly matchings?

Cited by 36 publications

References 23 publications

Cardy formula for 4d SUSY theories and localization

Cardy formula for 4d SUSY theories and localization

IR free or interacting? A proposed diagnostic

S‐duality in orientifold SCFTs

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