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We discuss Weyl (conformal) transformations in two-dimensional matterless dilaton gravity. We argue that both classical and quantum dilaton gravity theories are invariant under Weyl transformations.

High Energy Physics - Theory · Physics 2009-10-31 Marco Cavaglia

We investigate the gauge-independent Hamiltonian formulation and the anomalous Ward identities of a matter-induced 1+1-dimensional gravity theory invariant under Weyl transformations and area-preserving diffeomorphisms, and compare the…

High Energy Physics - Theory · Physics 2009-10-28 G. Amelino-Camelia , D. Bak , D. Seminara

Using the off-shell formulation for N-extended conformal supergravity in three dimensions, which has recently been presented in arXiv:1305.3132, we construct superspace actions for conformal supergravity theories with N<6. For each of the…

High Energy Physics - Theory · Physics 2013-10-16 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

We review the mechanisms of supersymmetry breaking mediation that occur in sequestered models, where the visible and the hidden sectors are separated by an extra dimension and communicate only via gravitational interactions. By locality,…

High Energy Physics - Theory · Physics 2016-09-06 Claudio A. Scrucca

Einstein-frame supergravity is accompanied by quantum correction terms because of super-Weyl transformation. The correction term consists of the field strength terms that respectively originate from gauge, gravitational, and K\"ahler…

High Energy Physics - Theory · Physics 2018-06-21 Akihisa D. -E. Tateishi

We investigate some aspects of Moyal-Weyl deformations of superspace and their compatibility with supersymmetry. For the simplest case, when only bosonic coordinates are deformed, we consider a four dimensional supersymmetric field theory…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , M. A. Lledó

The chiral kinetic theory is derived from exact spinor mean field equations without symmetry-breaking terms for large classes of SU(2) systems with spin-orbit coupling. The influence of the Wigner function's off-diagonal elements is worked…

Strongly Correlated Electrons · Physics 2019-09-04 K. Morawetz

Here we show that local scale invariance -- invariance under Weyl rescalings -- may safely coexist with broken electroweak symmetry if assume the Weyl geometric theory to govern the affine structure of spacetime. We find that within the…

General Relativity and Quantum Cosmology · Physics 2014-01-06 Israel Quiros

We present a closed-form expression for the contribution of surface defects to the supersymmetric R\'enyi entropy in six-dimensional $(2,0)$ theories. Our results show that this defect contribution is a linear function of $1/n$ and is…

High Energy Physics - Theory · Physics 2026-05-22 Zi-Xiao Huang , Ma-Ke Yuan , Yang Zhou

We analyse the proposal of defining the Weyl anomaly for classically non-conformal theories as $g^{mn} \langle T_{mn}\rangle - \langle g^{mn} T_{mn} \rangle$, originally put forward by M. Duff, in the case of a scalar field with quartic…

High Energy Physics - Theory · Physics 2024-06-19 Tommaso Bertolini , Lorenzo Casarin

We explore the trace (Weyl) anomaly within a general metric-affine geometry that includes both torsion and nonmetricity. Using the Heat Kernel method and Seeley's algorithm, we compute the Minakshisundaram coefficients for arbitrary…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Sebastian Bahamonde , Yuichi Miyashita , Masahide Yamaguchi

We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semi-quantized anomalous Hall effect and the chiral magnetic effect (equilibrium magnetic-field-driven current), may be thought of as two…

Mesoscale and Nanoscale Physics · Physics 2012-09-27 A. A. Zyuzin , A. A. Burkov

We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularisation is…

High Energy Physics - Theory · Physics 2018-03-28 Kevin Falls , Tim R. Morris

Due to the incompatibility of the nonlinear realization of superconformal symmetry and dilatation symmetry with the dilaton as the compensator field, in the present paper it shows an alternative mechanism of spontaneous breaking the N=2…

High Energy Physics - Theory · Physics 2009-08-05 Lu-Xin Liu

We discuss the connection between Weyl$^2$ supergravity and superstrings and further discuss holography between 4-dimensional, ${\cal N}=4$ superconformal Weyl$^2$ supergravity and ${\cal N}=8$, higher spin-four theory on $AdS_5$. The…

High Energy Physics - Theory · Physics 2019-06-26 Sergio Ferrara , Alex Kehagias , Dieter Lust

We explore the possibility of gauge mediation in a paradigm whereby supersymmetry is posited to be an accidental symmetry of Nature and the Standard Model fields are composite bound states that emerge from a conformal field theory. The…

High Energy Physics - Phenomenology · Physics 2011-05-12 Hock-Seng Goh , Siew-Phang Ng , Nobuchika Okada

In recent years, there have been controversy concerning the anomaly mediated gaugino mass in the superspace formalism of supergravity. In this paper, we reexamine the gaugino mass term in this formalism by paying particular attention to…

High Energy Physics - Theory · Physics 2014-11-05 Keisuke Harigaya , Masahiro Ibe

In a recent Comment on the paper "Dark matter as a Weyl geometric effect", by Burikham et al., Phys. Rev. D 107, 064008 (2023), posted on arxiv. org as eprint arXiv:2306.11926, it was claimed that the exact solution found in the above…

General Relativity and Quantum Cosmology · Physics 2023-10-23 Piyabut Burikham , Tiberiu Harko , Kulapant Pimsamarn , Shahab Shahidi

We give a new interpretation for the super loop space that has been used to formulate supersymmetry. The fermionic coordinates in the super loop space are identified as the odd generators of the Weil algebra. Their bosonic superpartners are…

High Energy Physics - Theory · Physics 2007-05-23 Mauri Miettinen

We construct an effective field theory for fusion of conformal defects of any codimension in $d\geq 3$ conformal field theories. We fully solve the constraints of Weyl invariance for defects of arbitrary shape on general curved bulk…

High Energy Physics - Theory · Physics 2025-05-28 Petr Kravchuk , Alex Radcliffe , Ritam Sinha
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