Publications (45)
Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills
Kenneth Intriligator, Witold Skiba
The superconformal group of N=4 super-Yang-Mills has two types of operator representations: short and long. We conjecture that operator product expansions for which at least two of…
Deformations of SCFTs
Kenneth Intriligator, Emily Nardoni
We discuss aspects of theories with superpotentials given by Arnold's singularities, particularly the novelties that arise when the fields are matrices. We focus on 4d ${\c…
6d, N=(1,0) Coulomb Branch Anomaly Matching
Kenneth Intriligator
6d QFTs are constrained by the analog of 't Hooft anomaly matching: all anomalies for global symmetries and metric backgrounds are constants of RG flows, and for all vacua in modul…
Comments on General Gauge Mediation
Kenneth Intriligator, Matthew Sudano
There has been interest in generalizing models of gauge mediation of supersymmetry breaking. As shown by Meade, Seiberg, and Shih (MSS), the soft masses of general gauge mediation…
Maximally Supersymmetric RG Flows and AdS Duality
Kenneth Intriligator
We discuss four dimensional renormalization group flows which preserve sixteen supersymmetries. In the infra-red, these can be viewed as deformations of the N=4 superconformal fixe…
Surveying Pseudomoduli: the Good, the Bad and the Incalculable
Kenneth Intriligator, David Shih, Matthew Sudano
We classify possible types of pseudomoduli which arise when supersymmetry is dynamically broken in infrared-free low-energy theories. We show that, even if the pseudomoduli potenti…
Comments on Unparticles
Benjamin Grinstein, Kenneth Intriligator, Ira Z. Rothstein
We comment on several points concerning unparticles which have been overlooked in the literature. One regards Mack's unitarity constraint lower bounds on CFT operator dimensions,e.…
Generalized Families of QFTs
T. Daniel Brennan, Kenneth Intriligator
RG flows and IR phases of QFTs can be constrained by generalized symmetries and their anomalies. Broken symmetries act on the space of coupling constants of families of theories, a…
Exploring 2-Group Global Symmetries
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We analyze four-dimensional quantum field theories with continuous 2-group global symmetries. At the level of their charges such symmetries are identical to a product of continuous…
Misleading Anomaly Matchings?
John Brodie, Peter Cho, Kenneth Intriligator
We investigate the low energy dynamics of N=1 supersymmetric SO(N) gauge theories with a single symmetric tensor matter field. These theories exhibit non-trivial matching of global…
General Gauge Mediation with Gauge Messengers
Kenneth Intriligator, Matthew Sudano
We generalize the General Gauge Mediation formalism to allow for the possibility of gauge messengers. Gauge messengers occur when charged matter fields of the susy-breaking sector…
Supersymmetric asymptotic safety is not guaranteed
Kenneth Intriligator, Francesco Sannino
It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an in…
The Runaway Quiver
Kenneth Intriligator, Nathan Seiberg
We point out that some recently proposed string theory realizations of dynamical supersymmetry breaking actually do not break supersymmetry in the usual desired sense. Instead, the…
Anomalies of 4d Theories
T. Daniel Brennan, Kenneth Intriligator
We consider 't Hooft anomalies of four-dimensional gauge theories whose fermion matter content admits generalized spin structure, with either gauged or a global sym…
New String Theories in Six Dimensions via Branes at Orbifold Singularities
Kenneth Intriligator
We present several classes of new 6d string theories which arise via branes at orbifold singularities. They have compact moduli spaces, associated with tensor multiplets, given by…
Aspects of 3d N=2 Chern-Simons-Matter Theories
Kenneth Intriligator, Nathan Seiberg
We comment on various aspects of the the dynamics of 3d N=2 Chern-Simons gauge theories and their possible phases. Depending on the matter content, real masses and FI parameters, t…
Multiplets of Superconformal Symmetry in Diverse Dimensions
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We systematically analyze the operator content of unitary superconformal multiplets in spacetime dimensions. We present a simple, general, and efficient algorithm that gene…
Isotropic Landau levels of Dirac fermions in high dimensions
Yi Li, Kenneth Intriligator, Yue Yu +1
We generalize the Landau levels of two-dimensional Dirac fermions to three dimensions and above with the full rotational symmetry. Similarly to the two-dimensional case, there exis…
IR Free or Interacting? A Proposed Diagnostic
Kenneth Intriligator
We present and discuss a conjectured criterion for determining whether a 4d quantum field theory is IR free, or flows to an interacting conformal field theory in the infrared: ``th…
Supersymmetry Breaking, R-Symmetry Breaking and Metastable Vacua
Kenneth Intriligator, Nathan Seiberg, David Shih
Models of spontaneous supersymmetry breaking generically have an R-symmetry, which is problematic for obtaining gaugino masses and avoiding light R-axions. The situation is improve…
Superconformally Covariant OPE and General Gauge Mediation
Jean-François Fortin, Kenneth Intriligator, Andreas Stergiou
We consider using broken superconformal symmetry and the super operator product expansion (sOPE) to constrain and analyze hidden sector theories that couple to our gauge forces and…
Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality
Kenneth Intriligator
General conjectures about the SL(2,Z) modular transformation properties of N=4 super-Yang-Mills correlation functions are presented. It is shown how these modular transformation pr…
Matching 3d N=2 Vortices and Monopole Operators
Kenneth Intriligator
In earlier work with N. Seiberg, we explored connections between monopole operators, the Coulomb branch modulus, and vortices for 3d, N=2 supersymmetric, Chern-Simons matt…
Dual Descriptions of Supersymmetry Breaking
Kenneth Intriligator, Scott Thomas
Dynamical supersymmetry breaking is considered in models which admit descriptions in terms of electric, confined, or magnetic degrees of freedom in various limits. In this way, a v…
Compactified Little String Theories and Compact Moduli Spaces of Vacua
Kenneth Intriligator
It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string the…
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator +1
Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather t…
Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We establish a linear relation between the -type Weyl anomaly and the 't Hooft anomaly coefficients for the -symmetry and gravitational anomalies in six-dimensional s…
(Delta a) curiosities in some 4d susy RG flows
Antonio Amariti, Kenneth Intriligator
We explore some curiosities in 4d susy RG flows. One issue is that the compelling candidate a-function, from a-maximization with Lagrange multipliers, has a `strange branch," with…
Infinitely many N=1 dualities from
Prarit Agarwal, Kenneth Intriligator, Jaewon Song
We discuss two infinite classes of 4d supersymmetric theories, and , labelled by an arbitrary non-negative integer, . The theory ar…
Lectures on Supersymmetry Breaking
Kenneth Intriligator, Nathan Seiberg
We review the subject of spontaneous supersymmetry breaking. First we consider supersymmetry breaking in a semiclassical theory. We illustrate it with several examples, demonstrati…
"Non-Perturbative Methods" in Field Theory
Kenneth Intriligator
This talk is an overview of selected topics related to renormalization group flows and the phases of gauge theories.
Fusion Residues
Kenneth Intriligator
We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessa…
Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories
Kenneth Intriligator
We point out that the low energy theory of 6d, N=(2,0) field theories, when away from the origin of the moduli space of vacua, necessarily includes a new kind of Wess-Zumino term.…
Dynamical Supersymmetry Breaking on Quantum Moduli Spaces
Kenneth Intriligator, Scott Thomas
Supersymmetry breaking by the quantum deformation of a classical moduli space is considered. A simple, non-chiral, renormalizable model is presented to illustrate this mechanism. T…
Deformations of Superconformal Theories
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in dimensions. Our method only relies on…
Dynamical SUSY Breaking in Meta-Stable Vacua
Kenneth Intriligator, Nathan Seiberg, David Shih
Dynamical supersymmetry breaking in a long-lived meta-stable vacuum is a phenomenologically viable possibility. This relatively unexplored avenue leads to many new models of dynami…
Renormalization Group Fixed Points and Connections with Duality in Various Dimensions
Kenneth Intriligator
We review some recent results concerning gauge theories in various dimensions. In particular, we discuss RG fixed points and ``mirror'' symmetry duality in 3d N=4 supersymmetric ga…
Snowmass White Paper on SCFTs
Philip C. Argyres, Jonathan J. Heckman, Kenneth Intriligator +1
Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of quantum field theory. In this white paper for the Snowmass process we give a brief overv…
2-Group Global Symmetries and Anomalies in Six-Dimensional Quantum Field Theories
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We examine six-dimensional quantum field theories through the lens of higher-form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength ,…
Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes
Kenneth Intriligator, Hans Jockers, Peter Mayr +2
We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus…
RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
Kenneth Intriligator
We discuss a set of generalized, necessary conditions for non-trivial, interacting fixed points in six dimensional supersymmetric field theories. We use string theory to argue for…
Anomaly Multiplet Relations in Six Dimensions
Clay Cordova, Thomas T. Dumitrescu, Kenneth Intriligator
We consider conformal and 't Hooft anomalies in six-dimensional superconformal field theories, focusing on those conformal anomalies that determine the two- and th…
Current OPEs in Superconformal Theories
Jean-François Fortin, Kenneth Intriligator, Andreas Stergiou
It's well known that in conformal theories the two- and three-point functions of a subset of the local operators-the conformal primaries-suffice, via the operator product expansion…
Consistency Conditions for Branes at Orbifold Singularities
Julie D. Blum, Kenneth Intriligator
We discuss consistency conditions for branes at orbifold singularities. The conditions have a world-sheet interpretation in terms of tadpole cancellation and a space-time interpret…
New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
Julie D. Blum, Kenneth Intriligator
We discuss type II and type I branes at general ADE type orbifold singularities. We show that there are new phases of type I or heterotic string theory in six dimensions, involving…