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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 an extremum for the round sphere. We then…

高能物理 - 理论 · 物理学 2021-03-10 Joseph A. Minahan , Usman Naseer , Charles Thull

The elliptic genera of two-dimensional N=2 superconformal field theories can be twisted by the action of the integral Heisenberg group if their U(1) charges are fractional. The basic properties of the resulting twisted elliptic genera and…

高能物理 - 理论 · 物理学 2015-05-14 Toshiya Kawai

We examine a recently proposed class of integrable deformations to two-dimensional conformal field theories. These {\lambda}-deformations interpolate between a WZW model and the non-Abelian T-dual of a Principal Chiral Model on a group G…

高能物理 - 理论 · 物理学 2015-06-23 Konstantinos Sfetsos , Daniel C. Thompson

We study the $T\overline{T}$ deformation of two dimensional quantum field theories from a Hamiltonian point of view, focusing on aspects of the theory in Lorentzian signature. Our starting point is a simple rewriting of the spatial integral…

高能物理 - 理论 · 物理学 2020-11-25 Jorrit Kruthoff , Onkar Parrikar

We investigate the "$T\bar{T}$" deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $T\bar{T}$ deforming operator can…

高能物理 - 理论 · 物理学 2019-07-24 Marco Baggio , Alessandro Sfondrini , Gabriele Tartaglino-Mazzucchelli , Harriet Walsh

We investigate the $T\bar{T}$-like flows for non-linear electrodynamic theories in $D(=\!\!2n)$-dimensional spacetime. Our analysis is restricted to the deformation problem of the classical free action by employing the proposed $T\bar{T}$…

高能物理 - 理论 · 物理学 2021-05-05 H. Babaei-Aghbolagh , Komeil Babaei Velni , Davood Mahdavian Yekta , H. Mohammadzadeh

The "long" indecomposable N=2, d=1 multiplet (2, 4, 2) defined in arXiv:1503.05537 [hep-th] as a deformation of the pair of chiral multiplets (2, 2, 0) and (0, 2, 2) by a number of the mass-dimension parameters is described in the…

高能物理 - 理论 · 物理学 2016-04-20 E. Ivanov , S. Sidorov

We revisit $T\bar T$ deformations of $d=2$ theories with fermions with a view toward the quantization. As a simple illustration, we compute the deformed Dirac bracket for a Majorana doublet and confirm the known eigenvalue flows…

高能物理 - 理论 · 物理学 2021-08-18 Kyung-Sun Lee , Piljin Yi , Junggi Yoon

$T\bar{T}$ deformed conformal field theories can be reformulated as worldsheet theories of non-critical strings. We use this correspondence to compute and study the $T\bar{T}$ deformed partition sum of a symmetric product CFT. We find that…

高能物理 - 理论 · 物理学 2023-05-23 Nathan Benjamin , Scott Collier , Jorrit Kruthoff , Herman Verlinde , Mengyang Zhang

Quasi-primary correlators in two-dimensional conformal field theories deformed simultaneously by $T\bar T$ and root-$T\bar T$ are studied. A path-integral formulation motivated by the geometric realization of the combined deformation is…

高能物理 - 理论 · 物理学 2026-04-17 Bo-Rui Li , Song He , Yu-Xiao Liu

We study the conditions under which 4d $\mathcal{N}=2$ superconformal field theories (SCFTs) have multiplets housing operators that are chiral with respect to an $\mathcal{N}=1$ subalgebra. Our main focus is on the set of often-ignored and…

高能物理 - 理论 · 物理学 2023-07-20 Anindya Banerjee , Matthew Buican

The $T\bar{T}$ deformation of a supersymmetric two-dimensional theory preserves the original supersymmetry. Moreover, in several interesting cases the deformed theory possesses additional non-linearly realized supersymmetries. We show this…

高能物理 - 理论 · 物理学 2020-03-18 Christian Ferko , Hongliang Jiang , Savdeep Sethi , Gabriele Tartaglino-Mazzucchelli

We derive the $T\overline{T}$-perturbed version of two-dimensional $q$-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to Jackiw-Teitelboim gravity. We show that the…

高能物理 - 理论 · 物理学 2024-03-05 Leonardo Santilli , Richard J. Szabo , Miguel Tierz

We review the non-anticommutative Q-deformations of N=(1,1) supersymmetric theories in four-dimensional Euclidean harmonic superspace. These deformations preserve chirality and harmonic Grassmann analyticity. The associated field theories…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , E. A. Ivanov , O. Lechtenfeld , I. B. Samsonov , B. M. Zupnik

We study certain N=1 preserving deformations of four-dimensional N=2 superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an N=1 chiral multiplet transforming in the adjoint…

高能物理 - 理论 · 物理学 2017-03-08 Kazunobu Maruyoshi , Jaewon Song

We study interacting massive N=(2,2) supersymmetric field theories in two dimensions which arise from deforming conformal field theories with a continuous spectrum. Firstly, we deform N=2 superconformal Liouville theory with relevant…

高能物理 - 理论 · 物理学 2018-08-15 Songyuan Li , Jan Troost

We study a class of two-dimensional ${\cal N}=(0, 4)$ quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d ${\cal N}=2$ theories of class ${\cal S}$,…

高能物理 - 理论 · 物理学 2016-05-04 Pavel Putrov , Jaewon Song , Wenbin Yan

We construct a solvable deformation of two-dimensional theories with $(2,2)$ supersymmetry using an irrelevant operator which is a bilinear in the supercurrents. This supercurrent-squared operator is manifestly supersymmetric, and…

We use the quantum symmetries present in string compactification on Landau-Ginzburg orbifolds to prove the existence of a large class of exactly marginal (0,2) deformations of (2,2) superconformal theories. Analogous methods apply to the…

高能物理 - 理论 · 物理学 2009-10-07 Jacques Distler , Shamit Kachru

We study the SO(4)x SU(2) invariant Q-deformation of Euclidean N=(1,1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N=(1,1) to N=(1,0)…

高能物理 - 理论 · 物理学 2010-04-05 S. Ferrara , E. Ivanov , O. Lechtenfeld , E. Sokatchev , B. Zupnik
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