Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ*

Abdallah, Sami; Franchino-Viñas, S. A.; Fröb, Markus B.

doi:10.1007/jhep03(2021)271

Cited by 16 publications

(23 citation statements)

References 98 publications

(226 reference statements)

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“…However, even in the simple example of a free Weyl fermion, no consensus has emerged on whether this central charge is non-zero: see refs. [70][71][72][73][74][75][76][77][78][79][80][81][82]. The second example is a p = 2 defect in a d = 4 CFT with parity broken, where the defect's Weyl anomaly can include 2 terms odd under parity along the defect [29,30].…”

Section: Jhep02(2022)166mentioning

confidence: 99%

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Weyl anomalies of four dimensional conformal boundaries and defects

Chalabi

Herzog

O’Bannon

et al. 2022

J. High Energ. Phys.

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Motivated by questions about quantum information and classification of quantum field theories, we consider Conformal Field Theories (CFTs) in spacetime dimension d ≥ 5 with a conformally-invariant spatial boundary (BCFTs) or 4-dimensional conformal defect (DCFTs). We determine the boundary or defect contribution to the Weyl anomaly using the standard algorithm, which includes imposing Wess-Zumino consistency and fixing finite counterterms. These boundary/defect contributions are built from the intrinsic and extrinsic curvatures, as well as the pullback of the ambient CFT’s Weyl tensor. For a co-dimension one boundary or defect (i.e. d = 5), we reproduce the 9 parity-even terms found by Astaneh and Solodukhin, and we discover 3 parity-odd terms. For larger co-dimension, we find 23 parity-even terms and 6 parity-odd terms. The coefficient of each term defines a “central charge” that characterizes the BCFT or DCFT. We show how several of the parity-even central charges enter physical observables, namely the displacement operator two-point function, the stress-tensor one-point function, and the universal part of the entanglement entropy. We compute several parity-even central charges in tractable examples: monodromy and conical defects of free, massless scalars and Dirac fermions in d = 6; probe branes in Anti-de Sitter (AdS) space dual to defects in CFTs with d ≥ 6; and Takayanagi’s AdS/BCFT with d = 5. We demonstrate that several of our examples obey the boundary/defect a-theorem, as expected.

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Section: Jhep02(2022)166mentioning

confidence: 99%

“…In contrast to a (4d) M and c (4d) M , little is known about the parity-odd B-type central charge, c(4d) : for the state of the art, see refs. [70][71][72][73][74][75][76][77][78][79][80][81][82].…”

Section: Jhep02(2022)166mentioning

confidence: 99%

Weyl anomalies of four dimensional conformal boundaries and defects

Chalabi

Herzog

O’Bannon

et al. 2022

J. High Energ. Phys.

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“…Lately, both the results of Bastianelli et al and Fröb et al have been criticized by the group of Bonora [30], alleging that the employed methods do not reproduce the well-studied chiral anomalies of Weyl fermions, and would therefore be inappropriate to analyze the conformal anomaly. In order to pursue further the discussion, we have decided to redo the direct computation using Feynman diagrams [31], paying attention to possible pitfalls.…”

Section: Pos(eps-hep2021)723mentioning

confidence: 99%

“…We introduce left-handed Weyl fermions as in [31]: they are four-component fermions ψ which are eigenspinors of the chiral projector P + (such that their Dirac conjugate ψ ψγ 0 is an eigenspinor of P − ); in formulae we have…”

Section: The Trace Anomaly Computation Using the Breitenlohner-maison...mentioning

confidence: 99%

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Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $\gamma_*$

Abdallah¹,

Franchino-Viñas²,

Fröb³

2022

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2021)

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We revisit the conformal anomaly for a Weyl fermion in four dimensions that has generated some debate recently. We employ a perturbative expansion for the metric around Minkowski space, dimensional regularization and a Breitenlohner-Maison prescription for the chiral γ matrix. We obtain a vanishing odd-parity contribution for Weyl fermions in four dimensions, while the evenparity contribution is exactly half the one for a Dirac fermion.

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Gravity-gauge anomaly constraints on the energy-momentum tensor

Larue,

Quevillon,

Zwicky

2024

J. High Energ. Phys.

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We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff’s analysis [1] to include parity-odd terms and explicit symmetry breaking. The constraints imply the absence of the parity-odd $$ R\overset{\sim }{R} $$ R R ~ and $$ F\overset{\sim }{F} $$ F F ~ terms, for theories whose symmetries are compatible with dimensional regularisation, in a model-independent way. Remarkably, even in the case of explicit symmetry breaking the □R-anomaly is found to be finite and unambiguous after applying the symmetry constraints. We compute mixed gravity-gauge anomalies at leading order and deduce phenomenological consequences for vector bosons associated with global chiral symmetries.

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Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ*

Cited by 16 publications

References 98 publications

Weyl anomalies of four dimensional conformal boundaries and defects

Weyl anomalies of four dimensional conformal boundaries and defects

Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $\gamma_*$

Gravity-gauge anomaly constraints on the energy-momentum tensor

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