Anomalies, conformal manifolds, and spheres

  title={Anomalies, conformal manifolds, and spheres},
  author={Jaume Gomis and Po-Shen Hsin and Z. Komargodski and Adam Schwimmer and Nathan Seiberg and Stefan Theisen},
  journal={Journal of High Energy Physics},
A bstractThe 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$$ \mathrm{\mathcal{M}} $$ is the space of conformal field theories (a.k.a. the conformal manifold). When the underlying quantum field theory is supersymmetric, this sigma model has to be appropriately supersymmetrized. As examples, we consider in some… 

Shortening anomalies in supersymmetric theories

A bstractWe present new anomalies in two-dimensional N=22$$ \mathcal{N}=\left(2,2\right) $$ superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at

Anomalies of duality groups and extended conformal manifolds

A self-duality group $\cal G$ in quantum field theory can have anomalies. In that case, the space of ordinary coupling constants $\cal M$ can be extended to include the space $\cal F$ of coefficients

Boundary Weyl anomaly of N$$ \mathcal{N} $$ = (2, 2) superconformal models

A bstractWe calculate the trace and axial anomalies of N$$ \mathcal{N} $$ = (2, 2) superconformal theories with exactly marginal deformations, on a surface with boundary. Extending recent work by

Type-B anomaly matching and the 6D (2,0) theory

We study type-B conformal anomalies associated with 1 2 $$ \frac{1}{2} $$ -BPS Coulomb-branch operators in 4D N $$ \mathcal{N} $$ = 2 superconformal field theories. When the vacuum preserves the

Localization of twisted N=0,2$$ \mathcal{N}=\left(0,\;2\right) $$ gauged linear sigma models in two dimensions

A bstractWe study two-dimensional N=0,2$$ \mathcal{N}=\left(0,\ 2\right) $$ supersymmetric gauged linear sigma models (GLSMs) using supersymmetric localization. We consider N=0,2$$

Non-compact duality, super-Weyl invariance and effective actions

In both N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 2 supersymmetry, it is known that Sp(2 n, ℝ) is the maximal duality group of n vector multiplets coupled to chiral scalar multiplets τ ( x, θ

Superconformal duality-invariant models and $$ \mathcal{N} $$ = 4 SYM effective action

  • S. Kuzenko
  • Mathematics, Physics
    Journal of High Energy Physics
  • 2021
Abstract We present $$ \mathcal{N} $$ N = 2 superconformal U(1) duality-invariant models for an Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such a

Conformal field theories on deformed spheres, anomalies, and supersymmetry

We study the free energy of four-dimensional CFTs on deformed spheres. For generic nonsupersymmetric CFTs only the coefficient of the logarithmic divergence in the free energy is physical, which is

Towards the holographic dual of N=2$$ \mathcal{N}=2 $$ SYK

A bstractThe gravitational part of the holographic dual to the SYK model has been conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an AdS2 background in N=2,2$$

Conformal symmetry and composite operators in the O(N )3 tensor field theory

We continue the study of the bosonic $O(N)^3$ model with quartic interactions and long-range propagator. The symmetry group allows for three distinct invariant $\phi^4$ composite operators, known as



Sphere partition functions and the Zamolodchikov metric

A bstractWe study the finite part of the sphere partition function of d-dimensional Conformal Field Theories (CFTs) as a function of exactly marginal couplings. In odd dimensions, this quantity is

Compact conformal manifolds

A bstractIn this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov

Rigid supersymmetric theories in curved superspace

We present a uniform treatment of rigid supersymmetric field theories in a curved spacetime $ \mathcal{M} $, focusing on four-dimensional theories with four supercharges. Our discussion is

Comments on N$$ \mathcal{N} $$ = (2, 2) supersymmetry on two-manifolds

A bstractWe study curved-space rigid supersymmetry for two-dimensional N$$ \mathcal{N} $$ = (2, 2) supersymmetric fields theories with a vector-like R-symmetry by coupling such theories to background

The equivariant A-twist and gauged linear sigma models on the two-sphere

A bstractWe study two-dimensional N=2,2$$ \mathcal{N}=\left(2,\;2\right) $$ supersymmetric gauged linear sigma models (GLSM) on the Ω-deformed sphere, SΩ2, which is a one-parameter deformation of the

Two-Sphere Partition Functions and Gromov–Witten Invariants

Many $${\mathcal{N}=(2,2)}$$N=(2,2) two-dimensional nonlinear sigma models with Calabi–Yau target spaces admit ultraviolet descriptions as $${\mathcal{N}=(2,2)}$$N=(2,2) gauge theories (gauged linear

Exact results in D = 2 supersymmetric gauge theories

A bstractWe compute exactly the partition function of two dimensional $ \mathcal{N} $ = (2, 2) gauge theories on S2 and show that it admits two dual descriptions: either as an integral over the

Exact Kähler potential from gauge theory and mirror symmetry

A bstractWe prove a recent conjecture that the partition function of $ \mathcal{N} $ = (2, 2) gauge theories on the two-sphere which flow to Calabi-Yau sigma models in the infrared computes the exact

On exact correlation functions in SU(N) N=2$$ \mathcal{N}=2 $$ superconformal QCD

A bstractWe consider the exact coupling constant dependence of extremal correlation functions of N=2$$ \mathcal{N}=2 $$ chiral primary operators in 4d N=2$$ \mathcal{N}=2 $$ superconformal gauge

N=4$$ \mathcal{N}=4 $$ supersymmetric AdS5 vacua and their moduli spaces

A bstractWe classify the N=4$$ \mathcal{N}=4 $$ supersymmetric AdS5 backgrounds that arise as solutions of five-dimensional N=4$$ \mathcal{N}=4 $$ gauged supergravity. We express our results in terms