Five-dimensional path integrals for six-dimensional conformal field theories

نویسندگان

چکیده

In this paper we derive Ward-Takahashi identities from the path integral of supersymmetric five-dimensional field theories with an $SU(1,3)$ spacetime symmetry in presence instantons. We explicitly show how is enhanced to $SU(1,3)\times U(1)$ where additional $U(1)$ acts non-perturbatively. Solutions such were previously obtained correlators six-dimensional Lorentzian conformal but instanton number was replaced by momentum along a null direction. Here study reverse procedure whereby construct correlation functions out towers operators which satisfy theory. This paves way computing observables six dimensions using techniques. also argue that, once sector included into integral, coupling Lagrangian must be quantised, leaving no free continuous parameters.

برای دانلود رایگان 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

A class of six-dimensional conformal field theories

We describe a class of six-dimensional conformal field theories that have some properties in common with and possibly are related to a subsector of the tensionless string theories. The latter theories can for example give rise to four-dimensional N = 4 superconformal Yang-Mills theories upon compactification on a two-torus. Just like the tensionless string theories, our theories have an ADEclas...

متن کامل

Conformal Field Theories on K3 and Three-Dimensional Gauge Theories

According to a recent conjecture, the moduli space of the heterotic conformal field theory on a G ⊂ ADE singularity of an ALE space is equivalent to the moduli space of a pure N = 4 supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content.

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

Six-Dimensional String Theories

We consider N = 1, D = 4 superconformal U(N) Yang-Mills theories dual to AdS5 × S/Zp × Zq orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector of this dilatation operator can be thought of as the transfer matrix for a two-dimensional statistical mechanical system, related to an integrable SU(3) antife...

متن کامل

Dispersing quasinormal modes in 2+1 dimensional conformal field theories

Abstract We study the charge response of conformal field theories (CFTs) at non-zero temperature in 2+1 dimensions using the AdS/CFT correspondence. A central role is played by the quasinormal modes (QNMs), specifically, the poles and zeros of the current correlators. We generalize our recent study of the QNMs of the a.c. charge conductivity to include momentum dependence. This sheds light on t...

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: Journal of High Energy Physics

سال: 2022

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep02(2022)151