Macdonald indices for four-dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> theories

نویسندگان

چکیده

We brute-force evaluate the vacuum character for $\mathcal{N}=2$ vertex operator algebras labeled by crystallographic complex reflection groups $G(k,1,1)={\mathbb{Z}}_{k}$, $k=3$, 4, 6, and $G(3,1,2)$. For ${\mathbb{Z}}_{3,4}$ $G(3,1,2)$ these characters have been conjectured to respectively reproduce Macdonald limit of superconformal index rank one two S-fold $\mathcal{N}=3$ theories in four dimensions. ${\mathbb{Z}}_{3}$ case, where reduces Schur index, we find agreement with predictions from literature.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Four Dimensional Integrable Theories

There exist many four dimensional integrable theories. They include self-dual gauge and gravity theories, all their extended supersymmetric generalisations, as well the full (non-self-dual) N=3 super Yang-Mills equations. We review the harmonic space formulation of the twistor transform for these theories which yields a method of producing explicit connections and metrics. This formulation uses...

متن کامل

Gauge Theories on Four Dimensional Riemannian Manifolds

This paper develops the Riemannian geometry of classical gauge theories Yang-Mills fields coupled with scalar and spinor fields on compact four-dimensional manifolds. Some important properties of these fields are derived from elliptic theory : regularity, an "energy gap theorem", the manifold structure of the configuration space, and a bound for the supremum of the field in terms of the energy....

متن کامل

Supersymmetric Index In Four-Dimensional Gauge Theories

This paper is devoted to a systematic discussion of the supersymmetric index Tr (−1) for the minimal supersymmetric Yang-Mills theory – with any simple gauge group G – primarily in four spacetime dimensions. The index has refinements that probe confinement and oblique confinement and the possible spontaneous breaking of chiral symmetry and of global symmetries, such as charge conjugation, that ...

متن کامل

Gravitational Axial Anomaly for Four Dimensional Conformal Field Theories

We construct the three point function involving an axial vector current and two energymomentum tensors for four dimensional conformal field theories. Conformal symmetry determines the form of this three point function uniquely up to a constant factor if the necessary conservation conditions are imposed. The gravitational axial anomaly present on a curved space background leads to a non-zero con...

متن کامل

On Four-Dimensional Gauge Theories from Type II Superstrings

We study the four-dimensional gauge theories which are associated with classical vacua of the type II superstring, i.e. which correspond to a superconformal field theory on the world sheet. Using the fact that gauge symmetry arises from a supersymmetric affine Kac-Moody algebra, and demanding unitarity of the underlying world-sheet field theory, we show that no such vacua can yield the particle...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.103.l121701