scholarly journals Higher derivative terms in three dimensional supersymmetric theories

2015 ◽  
Vol 2015 (10) ◽  
Author(s):  
Adel Awad ◽  
Mir Faizal
Keyword(s):  
Three Dimensional ◽  
Higher Derivative ◽  
Supersymmetric Theories

scholarly journals Lorentz-violating effects in three-dimensional QED

2014 ◽  
Vol 29 (22) ◽  
pp. 1450112 ◽  
Author(s):  
R. Bufalo
Keyword(s):  
Quantum Electrodynamics ◽  
Lagrangian Density ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Space Time ◽  
Nonminimal Coupling ◽  
Coupling Term ◽  
Interaction Terms ◽  
Higher Derivative ◽  
Dimensional Space Time

Inspired in discussions presented lately regarding Lorentz-violating interaction terms in B. Charneski, M. Gomes, R. V. Maluf and A. J. da Silva, Phys. Rev. D86, 045003 (2012); R. Casana, M. M. Ferreira Jr., R. V. Maluf and F. E. P. dos Santos, Phys. Lett. B726, 815 (2013); R. Casana, M. M. Ferreira Jr., E. Passos, F. E. P. dos Santos and E. O. Silva, Phys. Rev. D87, 047701 (2013), we propose here a slightly different version for the coupling term. We will consider a modified quantum electrodynamics with violation of Lorentz symmetry defined in a (2+1)-dimensional space–time. We define the Lagrangian density with a Lorentz-violating interaction, where the space–time dimensionality is explicitly taken into account in its definition. The work encompasses an analysis of this model at both zero and finite-temperature, where very interesting features are known to occur due to the space–time dimensionality. With that in mind, we expect that the space–time dimensionality may provide new insights about the radiative generation of higher-derivative terms into the action, implying in a new Lorentz-violating electrodynamics, as well the nonminimal coupling may provide interesting implications on the thermodynamical quantities.

scholarly journals Induction of the higher-derivative Chern–Simons extension in QED3

2016 ◽  
Vol 31 (25) ◽  
pp. 1650140 ◽  
Author(s):  
M. A. Anacleto ◽  
F. A. Brito ◽  
O. Holanda ◽  
E. Passos ◽  
A. Yu. Petrov
Keyword(s):  
Effective Action ◽  
Three Dimensional ◽  
Higher Derivative ◽  
Chern Simons

We perform the perturbative generation of the higher-derivative Chern–Simons contribution to the effective action in the three-dimensional QED at zero and finite temperatures. In the latter case, we show that as the temperature goes to infinity this contribution vanishes. However, as expected, as the temperature goes to zero only the covariant part survives. The noncovariant part contributes only in intermediate temperatures where it presents a maximum.

scholarly journals UNAVOIDABLE CONFLICT BETWEEN MASSIVE GRAVITY MODELS AND MASSIVE TOPOLOGICAL TERMS

2004 ◽  
Vol 19 (11) ◽  
pp. 817-826 ◽  
Author(s):  
ANTONIO ACCIOLY ◽  
MARCO DIAS
Keyword(s):  
Three Dimensional ◽  
Massive Gravity ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Tree Level ◽  
Common Belief ◽  
Higher Derivative ◽  
The Common ◽  
Chern Simons ◽  
Topological Term

Massive gravity models in (2+1) dimensions, such as those obtained by adding to Einstein's gravity the usual Fierz–Pauli, or the more complicated Ricci scalar squared (R2), terms, are tree level unitary. Interesting enough these seemingly harmless systems have their unitarity spoiled when they are augmented by a Chern–Simons term. Furthermore, if the massive topological term is added to [Formula: see text] gravity, or to [Formula: see text] gravity (higher-derivative gravity), which are nonunitary at the tree level, the resulting models remain nonunitary. Therefore, unlike the common belief, as well as the claims in the literature, the coexistence between three-dimensional massive gravity models and massive topological terms is conflicting.

scholarly journals Supersymmetry, quantum corrections, and the higher derivative regularization

2018 ◽  
Vol 191 ◽  
pp. 06002
Author(s):  
Konstantin Stepanyantz
Keyword(s):  
Anomalous Dimension ◽  
Quantum Corrections ◽  
Explicit Calculation ◽  
Yukawa Couplings ◽  
Higher Derivative ◽  
Anomalous Dimensions ◽  
Higher Covariant Derivative ◽  
Derivative Method ◽  
Abelian Case ◽  
Supersymmetric Theories

We investigate the structure of quantum corrections in N = 1 supersymmetric theories using the higher covariant derivative method for regularization. In particular, we discuss the non-renormalization theorem for the triple gauge-ghost vertices and its connection with the exact NSVZ β-function. Namely, using the finiteness of the triple gauge-ghost vertices we rewrite the NSVZ equation in a form of a relation between the β-function and the anomalous dimensions of the quantum gauge superfield, of the Faddeev-Popov ghosts, and of the matter superfields. We argue that it is this form that follows from the perturbative calculations, and give a simple prescription how to construct the NSVZ scheme in the non-Abelian case. These statements are confirmed by an explicit calculation of the three-loop contributions to the β-function containing Yukawa couplings. Moreover, we calculate the two-loop anomalous dimension of the ghost superfields and demonstrate that for doing this calculation it is very important that the quantum gauge superfield is renormalized non-linearly.

scholarly journals Higher-derivative supergravity, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Nikolay Bobev ◽  
Anthony M. Charles ◽  
Dongmin Gang ◽  
Kiril Hristov ◽  
Valentin Reys
Keyword(s):  
Black Holes ◽  
Three Dimensional ◽  
Simons Theory ◽  
Partition Functions ◽  
Infinite Class ◽  
Gauge Groups ◽  
Higher Derivative ◽  
Hyperbolic Three Manifolds ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$ ℛ . Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-N expansion of supersymmetric partition functions for an infinite class of three-dimensional $$ \mathcal{N} $$ N = 2 SCFTs of class $$ \mathrm{\mathcal{R}} $$ ℛ . We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS4 black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.

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