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We point out that we can almost always determine by the anomaly matching the full anomaly polynomial of a supersymmetric theory in 2d, 4d or 6d if we assume that its Higgs branch is the one-instanton moduli space of some group G. This…

High Energy Physics - Theory · Physics 2018-01-17 Hiroyuki Shimizu , Yuji Tachikawa , Gabi Zafrir

We consider an extension of the standard model based on the group $\mathrm{U}(2) \times \mathrm{U}(3)$, which is naturally compatible with the standard model interacting-particle representations and the spontaneous symmetry breaking of…

High Energy Physics - Phenomenology · Physics 2019-12-06 Rafael Herrera , Alexander Quintero Velez

We consider the 4-dimensional $\mathcal{N}=1$ Lie superconformal algebra and search for completely "symmetric" (in the graded sense) 3-index invariant tensors. The solution we find is unique and we show that the corresponding invariant…

High Energy Physics - Theory · Physics 2024-05-31 Camillo Imbimbo , Davide Rovere , Alison Warman

We obtain new constraints on the anomaly coefficients of 6D $\mathcal{N}=(1,0)$ supergravity theories using local and global anomaly cancellation conditions. We show how these constraints can be strengthened if we assume that the theory is…

High Energy Physics - Theory · Physics 2018-03-14 Samuel Monnier , Gregory W. Moore , Daniel S. Park

In the context of the AdS/CFT correspondence, we perform a direct computation in AdS_5 supergravity of the trace anomaly of a d=4, N=2 SCFT. We find agreement with the field theory result up to next to leading order in the 1/N expansion. In…

High Energy Physics - Theory · Physics 2009-10-31 Matthias Blau , Edi Gava , K. S. Narain

The entropy of generic non-extremal dyonic black holes in the STU model has been shown to admit a remarkably universal form. The missing invariant in the formula was recently identified by S\'arosi using the formalism of quantum…

High Energy Physics - Theory · Physics 2016-02-17 G. Compère , V. Lekeu

6d supergravities with non-abelian gauge group are subject to many consistency conditions. While the absence of local gauge and gravitational anomalies allows for infinitely many models, we show that those conditions stemming from the…

High Energy Physics - Theory · Physics 2025-07-29 Yuta Hamada , Gregory J. Loges

We formulate the locally supersymmetric E$_{7(7)}$ exceptional field theory in a $(4+56|32)$ dimensional superspace, corresponding to a 4D $N\!=\!8$ "external" superspace augmented with an "internal" 56-dimensional space. This entails the…

High Energy Physics - Theory · Physics 2019-01-30 Daniel Butter , Henning Samtleben , Ergin Sezgin

We discuss the full nonlinear Kaluza-Klein (KK) reduction of the original formulation of d=11 supergravity on $AdS_7\times S_4$ to gauged maximal ({\cal N}=4) supergravity in 7 dimensions. We derive the full nonlinear embedding of the d=7…

High Energy Physics - Theory · Physics 2009-10-31 Horatiu Nastase , Diana Vaman , Peter van Niewenhuizen

The conditions for the absence of gauge anomalies in effective field theories (EFT) are rivisited. General results from the cohomology of the BRST operator do not prevent potential anomalies arising from the non-renormalizable sector, when…

High Energy Physics - Phenomenology · Physics 2021-04-27 Ferruccio Feruglio

An initial step is taken in investigating the duality between the near horizon region of a four dimensional extremal Reissner-Nordstrom black hole and the n-particle, N=4 Calogero model as conjectured by Gibbons and Townsend. Specifically…

High Energy Physics - Theory · Physics 2009-10-31 Steven Corley

We revisit anomalies of $(4,0)$ and $(3,1)$ maximally supersymmetric tensor theories in $d=6$. A $(4,0)$ on-shell tensor multiplet descends to that of the $d=5$ maximal supergravity upon a dimensional reduction, hypothesized to offer a…

High Energy Physics - Theory · Physics 2024-06-13 Piljin Yi , Yi Zhang

Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper,…

High Energy Physics - Theory · Physics 2018-12-27 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We propose a new set of IIB type and eleven-dimensional supergravity solutions which consists of the $n$-fold product of two-spaces ${\bf H}^n/\Gamma$ (where ${\bf H}^n$ denotes the product of $n$ upper half-planes $H^2$ equipped with the…

High Energy Physics - Theory · Physics 2009-10-28 A. A. Bytsenko

We prove that the swampland for D=10 N=1 SUGRA coupled to D=10 N=1 SYM is only populated by U(1)^496 and E_8 x U(1)^248. With this goal in mind, we review the anomalies for classical and exceptional groups, retrieving trace identities up to…

High Energy Physics - Theory · Physics 2015-07-31 Andrea Antonelli

Multi-parametric families of AdS$_{4}$ vacua with various amounts of supersymmetry and residual gauge symmetry are found in the $\,[\textrm{SO}(1,1) \times \textrm{SO}(6)] \ltimes \mathbb{R}^{12}\,$ maximal supergravity that arises from the…

High Energy Physics - Theory · Physics 2021-05-26 Adolfo Guarino , Colin Sterckx , Mario Trigiante

Recent computations of scattering amplitudes show that N=8 supergravity is surprisingly well behaved in the ultraviolet and may even be ultraviolet finite in perturbation theory. The novel cancellations necessary for ultraviolet finiteness…

High Energy Physics - Theory · Physics 2015-03-13 Z. Bern , J. J. Carrasco , D. Forde , H. Ita , H. Johansson

There is an evidence that the N=2 Born-Infeld theory with spontaneously broken N=4 supersymmetry exhibits self-duality. We perform a further check of this hypothesis by constructing a new representation for the N=2 Born-Infeld action…

High Energy Physics - Theory · Physics 2015-06-18 E. A. Ivanov , B. M. Zupnik

The Born-Infeld theory of a toroidal D3-brane has an SL(5,Z) U-duality symmetry. We investigate how this symmetry is reflected in the supersymmetry algebra. We propose an action of the group on the gauge theory fields in the BPS sector by…

High Energy Physics - Theory · Physics 2010-02-03 Gysbert Zwart

We extend the theory of the universal eta-invariant to the case of relative bordism groups of manifolds with boundaries. This allows the construction of secondary descendants of the universal eta-invariant. We obtain an interpretation of…

Algebraic Topology · Mathematics 2014-10-24 Ulrich Bunke