scholarly journals THE DEFINITION OF NEVEU–SCHWARZ SUPERCONFORMAL FIELDS AND UNCHARGED SUPERCONFORMAL TRANSFORMATIONS

1999 ◽  
Vol 11 (02) ◽  
pp. 137-169 ◽  
Author(s):  
MATTHIAS DÖRRZAPF
Keyword(s):  
Operator Product Expansion ◽  
Taylor Expansion ◽  
Field Theories ◽  
Operator Product ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Superconformal Field Theories ◽  
Transformation Rules ◽  
Stress Energy ◽  
Definition Of

The construction of Neveu–Schwarz superconformal field theories for any N is given via a superfield formalism. We also review some results and definitions of superconformal manifolds and generalise contour integration and Taylor expansion to superconformal spaces. For arbitrary N we define (uncharged) primary fields and give their infinitesimal change under superconformal transformations. This leads us to the operator product expansion of the stress-energy tensor with itself and with primary fields. In this way we derive the well-known commutation relations of the Neveu–Schwarz superconformal algebras K N . In this context we observe that the central extension term disappears for N≥4 for the Neveu–Schwarz theories. Finally, we give the global transformation rules of primary fields under theaction of the algebra generators.

scholarly journals Composite operators in $$ T\overline{T} $$-deformed free QFTs

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Anshuman Dey ◽  
Mikhail Goykhman ◽  
Michael Smolkin
Keyword(s):  
Free Field ◽  
Perturbative Expansion ◽  
Field Theories ◽  
Energy Tensor ◽  
Two Dimensional ◽  
Stress Energy Tensor ◽  
Massless Theory ◽  
Stress Energy ◽  
Perturbative Renormalization ◽  
Massive Theory

Abstract We study perturbative renormalization of the composite operators in the $$ T\overline{T} $$ T T ¯ -deformed two-dimensional free field theories. The pattern of renormalization for the stress-energy tensor is different in the massive and massless cases. While in the latter case the canonical stress tensor is not renormalized up to high order in the perturbative expansion, in the massive theory there are induced counterterms at linear order. For a massless theory our results match the general formula derived recently in [1].

scholarly journals QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY

2005 ◽  
Vol 17 (05) ◽  
pp. 577-612 ◽  
Author(s):  
CHRISTOPHER J. FEWSTER ◽  
STEFAN HOLLANDS
Keyword(s):  
Field Theories ◽  
Positive Energy ◽  
Energy Tensor ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Stress Energy Tensor ◽  
Quantum Energy ◽  
Conformal Field ◽  
Quantum Energy Inequalities ◽  
Stress Energy

Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general "moving mirror" models. Our results hold for all theories obeying a minimal set of axioms which — as we show — are satisfied by all models built from unitary highest-weight representations of the Virasoro algebra. In particular, this includes all (unitary, positive energy) minimal models and rational conformal field theories. Our discussion of this issue collects together (and, in places, corrects) various results from the literature which do not appear to have been assembled in this form elsewhere.

scholarly journals ON THE DEFINITION OF MATTER COLLINEATIONS

2009 ◽  
Vol 24 (34) ◽  
pp. 2769-2775
Author(s):  
ASGHAR QADIR ◽  
K. SAIFULLAH
Keyword(s):  
Lie Algebras ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Mixed Form ◽  
Infinite Dimensional ◽  
Matter Collineations ◽  
Stress Energy ◽  
Definition Of

It is shown that when the stress–energy tensor of a spacetime is diagonal and is written in the mixed form, its collineations admit infinite dimensional Lie algebras except possibly in the case when the tensor depends on all the spacetime coordinates. The result can be extended for more general second rank tensors.

scholarly journals STRESS-ENERGY TENSOR AND ULTRAVIOLET BEHAVIOR IN MASSIVE INTEGRABLE QUANTUM FIELD THEORIES

1994 ◽  
Vol 09 (19) ◽  
pp. 3307-3337 ◽  
Author(s):  
G. MUSSARDO ◽  
P. SIMONETTI
Keyword(s):  
Form Factors ◽  
Field Theories ◽  
Particle State ◽  
Energy Tensor ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Stress Energy Tensor ◽  
Integrable Quantum ◽  
Stress Energy ◽  
Distance Behavior

The short distance behavior of massive integrable quantum field theories is analyzed in terms of the form factor approach. We show that the on-shell dynamics is compatible with different definitions of the stress-energy tensor Tµν(x) of the theory. In terms of form factors, this is equivalent to having a possible nonzero matrix element F1 of the trace of Tµν on a one-particle state. Each choice of F1 induces a different scaling behavior of the massive theory in the ultraviolet limit.

scholarly journals Stress-energy tensor correlators from the world-sheet

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hanno Bertle ◽  
Andrea Dei ◽  
Matthias R. Gaberdiel
Keyword(s):  
Vertex Operator ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
World Sheet ◽  
Stress Energy ◽  
The World

Abstract The large N limit of symmetric orbifold theories was recently argued to have an AdS/CFT dual world-sheet description in terms of an sl(2, ℝ) WZW model. In previous work the world-sheet state corresponding to the symmetric orbifold stress-energy tensor was identified. We calculate certain 2- and 3-point functions of the corresponding vertex operator on the world-sheet, and demonstrate that these amplitudes reproduce exactly what one expects from the dual symmetric orbifold perspective.

ON THE ELECTROMAGNETIC PERTURBATIONS OF A MULTICONICAL SPACETIME

1996 ◽  
Vol 11 (27) ◽  
pp. 2171-2177
Author(s):  
A.N. ALIEV
Keyword(s):  
Cosmic Strings ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Electromagnetic Perturbations

The electromagnetic perturbations propagating in the multiconical spacetime of N parallel cosmic strings are described. The expression for vacuum average of the stress-energy tensor is reduced to a form involving only zero-spin-weighted perturbation modes.

Sign in / Sign up

Export Citation Format

Share Document