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Supersymmetry is a symmetry between a boson and a fermion. Although there is no apparent supersymmetry in nature, its mathematical consistency and appealing property have led many people to believe that supersymmetry may exist in nature in…

Strongly Correlated Electrons · Physics 2008-11-26 Sung-Sik Lee

We discuss stationary supersymmetric bosonic configurations of the Einstein-Maxwell theory embedded in $N=2$ supergravity. Some of these configurations, including the Kerr-Newman solutions with $m = |q|$ and arbitrary angular momentum per…

High Energy Physics - Theory · Physics 2007-05-23 R. Kallosh , T. Ortin

We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed…

High Energy Physics - Theory · Physics 2024-12-16 Pietro Benetti Genolini , Luigi Tizzano

The anomaly polynomial of a theory can involve not only curvature two-forms of the flavor symmetry background but also two-forms on the space of coupling constants. As an example, we point out that there is a mixed anomaly between the…

High Energy Physics - Theory · Physics 2018-02-28 Yuji Tachikawa , Kazuya Yonekura

The two-point function of exactly marginal operators leads to a universal contribution to the trace anomaly in even dimensions. We study aspects of this trace anomaly, emphasizing its interpretation as a sigma model, whose target space M is…

High Energy Physics - Theory · Physics 2016-03-23 Jaume Gomis , Po-Shen Hsin , Zohar Komargodski , Adam Schwimmer , Nathan Seiberg , Stefan Theisen

Sufficient conditions are proven for 't Hooft's consistency conditions to hold at points in the moduli space of supersymmetric gauge theories. Known results for anomaly matching in supersymmetric QCD are rederived as a sample application of…

High Energy Physics - Theory · Physics 2009-10-30 Gustavo Dotti , Aneesh V. Manohar

We present a direct field theoretical calculation of the consistent gauge anomaly in the superfield formalism, on the basis of a definition of the effective action through the covariant gauge current. The scheme is conceptually and…

High Energy Physics - Theory · Physics 2009-10-31 Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki , Hirofumi Yasuta

A number of physical systems exhibit a particular form of asymptotic conformal invariance: within a particular range of distances, they are characterized by a long-range conformal interaction (inverse square potential), the absence of…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Carlos R. Ordonez

We investigate the superconformal transformation properties of the supercurrent as well as of the superconformal anomalies themselves in d=4, N=1 supersymmetric quantum field theory. Matter supercurrent and anomalies are coupled to a…

High Energy Physics - Theory · Physics 2007-05-23 Christian Rupp

Even dimensional defects and boundaries in conformal field theory support type $a$ anomalies on their world-volume. We show that the one-point functions of marginal operators, in the presence of defects and boundaries, are anomalous, and…

High Energy Physics - Theory · Physics 2020-02-19 Christopher P. Herzog , Itamar Shamir

In the context of supersymmetric Wess-Zumino models with an R symmetry, we find some simple conditions on the R-charge content of the theory that imply the presence or absence of supersymmetric and R-symmetric vacua. The main result of this…

High Energy Physics - Theory · Physics 2007-08-17 Sébastien Ray

There is no known obstructions, but we have not been aware of any concrete examples, either. The Wess-Zumino consistency condition for the conformal anomaly says that $a$ cannot change but does not say anything about $c$. In supersymmetric…

High Energy Physics - Theory · Physics 2017-08-02 Yu Nakayama

The "parity" anomaly -- more accurately described as an anomaly in time-reversal or reflection symmetry -- arises in certain theories of fermions coupled to gauge fields and/or gravity in a spacetime of odd dimension. This anomaly has…

High Energy Physics - Theory · Physics 2016-12-07 Edward Witten

Anomalies of a quantum field theory (QFT) constitute fundamental non-perturbatively robust data. In this paper we extract anomalies of 5D superconformal field theories (SCFTs) directly from the underlying extra-dimensional geometry. We show…

High Energy Physics - Theory · Physics 2026-04-01 Mirjam Cvetič , Ron Donagi , Jonathan J. Heckman , Max Hübner

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

High Energy Physics - Theory · Physics 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

We consider the 6d (1,0) SCFT on a stack of $N$ M5-branes probing a $\mathbb C^2/\mathbb Z_2$ singularity. In particular, we study its compactifications to four dimensions on a smooth genus-$g$ Riemann surface with non-trivial flavor flux,…

High Energy Physics - Theory · Physics 2020-02-19 Ibrahima Bah , Federico Bonetti

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

High Energy Physics - Theory · Physics 2010-04-05 E. Kraus , C. Rupp , K. Sibold

We examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions. These two models are proposed to be dual to the type A and type B Vasiliev theories,…

High Energy Physics - Theory · Physics 2017-02-01 Yasuaki Hikida , Taiki Wada

We study a class of anomalies associated with time-reversal and spatial reflection symmetry in (2+1)D topological phases of matter. In these systems, the topological quantum numbers of the quasiparticles, such as the fusion rules and…

Strongly Correlated Electrons · Physics 2018-09-26 Maissam Barkeshli , Meng Cheng

A family of modified $(0,1)$ heterotic string models in D=4 is constructed in which the strings incorporate $R$ flux tubes which may in special cases support a local spacetime superconformal symmetry consistent with quantum mechanics. There…

High Energy Physics - Theory · Physics 2007-05-23 Michael Hewitt