Free □ k scalar conformal field theory

Brust, Christopher; Hinterbichler, Kurt

doi:10.1007/jhep02(2017)066

Cited by 64 publications

(128 citation statements)

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“…While this increases the critical dimension which a Lagrangian is renormalizable in it opens up a host of new Lagrangians which can be studied within the developing d-dimensional conformal field theory formalism. While free field higher derivative kinetic terms have been investigated in [29,30,31], for instance, there is now an opportunity to study interacting cases. This can be used as a new laboratory to study connections with the AdS/CFT ideas as well as a starting point to classify and more importantly connect scalar quantum field theories.…”

Section: Lower Dimension Completenessmentioning

confidence: 99%

“…Viewed this way means that one opens up new threads of towers since the kinetic term for φ i will involve higher derivatives. Although unlike the scalar theories considered in [29,30,31], for example, these will be interacting theories with a conformal symmetry at a fixed point. More specifically the first few Lagrangians representing the universal theories will beL…”

Section: Introductionmentioning

confidence: 99%

“…Equally a less well explored aspect of scalar and other conformal field theories is that where the kinetic term of the scalar field involves higher derivatives. One recent study of tying these two threads together was in [29,30,31]. Although [29,30,31] focussed on the free 2 conformal field theories and its symmetry algebra, this has to be appreciated first before the extension to interacting theories.…”

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confidence: 99%

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Higher dimensional higher derivative ϕ4 theory

Gracey

Simms

2017

Phys. Rev. D

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Abstract. We construct several towers of scalar quantum field theories with an O(N ) symmetry which have higher derivative kinetic terms. The Lagrangians in each tower are connected by lying in the same universality class at the d-dimensional Wilson-Fisher fixed point. Moreover the universal theory is studied using the large N expansion and we determine d-dimensional critical exponents to O(1/N 2 ). We show that these new universality classes emerge naturally as solutions to the linear relation of the dimensions of the fields deduced from the underlying force-matter interaction of the universal critical theory. To substantiate the equivalence of the Lagrangians in each tower we renormalize each to several loop orders and show that the renormalization group functions are consistent with the large N critical exponents. While we focus on the first two new towers of theories and renormalize the respective Lagrangians to 16 and 18 dimensions there are an infinite number of such towers. We also briefly discuss the conformal windows and the extension of the ideas to theories with spin-

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Section: Lower Dimension Completenessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Higher dimensional higher derivative ϕ4 theory

Gracey

Simms

2017

Phys. Rev. D

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“…A recent suggestion is based on the bimetric potential identified in [51] and includes an additional vector field [69]. Another interesting approach is to consider a full tower of higher-spin states [70].…”

Section: Scale Invariance Of Proportional Backgroundsmentioning

confidence: 99%

Structures in multiple spin-2 interactions

Baldacchino¹,

Schmidt-May²

2017

J. Phys. A: Math. Theor.

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We study generalisations of ghost-free bimetric theory which involve more than two spin-2 fields. The consistent interactions can enter in the form of two different couplings and in the majority of this work we concentrate on the simpler one. The corresponding action involves one metric coupled to N tensor fields which do not interact with each other. We derive maximally symmetric solutions to the multimetric equations of motion and identify the mass eigenstates in the linearised theory around these backgrounds. Our results are then applied to the problem of singling out multimetric models which possess certain additional structures. In particular, we look for a relation between scale invariant background solutions, the perturbative emergence of Weyl invariance and the presence of partially massless spin-2 fields in the linear theory. Our findings generalise known results in bimetric theory and allow us to point out similarities and differences between the bi-and multimetric models.

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“…Such CFTs were studied in [83] for instance, and were proposed to be dual to HS theories [82] whose spectrum consists, on top of the infinite tower of (totally symmetric) higher-spin massless fields, also partially massless (totally symmetric) fields of arbitrary spin (theories which have been studied recently in [84][85][86]), thereby extending the HS holography proposal of Klebanov-Polyakov-Sezgin-Sundell to the non-unitary case. The corresponding HS algebras were studied in [87] for the simplest case = 2 (as the symmetry algebra of the Laplacian square, thereby generalising the previous characterisation of hs (d) 0 as the symmetry algebra of the Laplacian [88]) and for general values of in [89][90][91].…”

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confidence: 99%

A Note on Rectangular Partially Massless Fields

Basile

2018

Universe

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Abstract:We study a class of non-unitary so(2, d) representations (for even values of d), describing mixed-symmetry partially massless fields which constitute natural candidates for defining higher-spin singletons of higher order. It is shown that this class of so(2, d) modules obeys of natural generalisation of a couple of defining properties of unitary higher-spin singletons. In particular, we find out that upon restriction to the subalgebra so(2, d − 1), these representations branch onto a sum of modules describing partially massless fields of various depths. Finally, their tensor product is worked out in the particular case of d = 4, where the appearance of a variety of mixed-symmetry partially massless fields in this decomposition is observed.

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Free □ k scalar conformal field theory

Cited by 64 publications

References 100 publications

Higher dimensional higher derivative ϕ4 theory

Higher dimensional higher derivative ϕ4 theory

Structures in multiple spin-2 interactions

A Note on Rectangular Partially Massless Fields

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