Higher derivative modifications ofD=10 superspace Yang-Mills theories

1991 ◽  
Vol 50 (2) ◽  
pp. 237-242 ◽  
Author(s):  
S. Bellucci
Keyword(s):  
Yang Mills ◽  
Higher Derivative

scholarly journals Gauging the higher-spin-like symmetries by the Moyal product

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
M. Cvitan ◽  
P. Dominis Prester ◽  
S. Giaccari ◽  
M. Paulišić ◽  
I. Vuković
Keyword(s):  
Linear Connection ◽  
Covariant Formulation ◽  
Formal Similarity ◽  
Commutative Field ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Higher Derivative ◽  
Novel Approach ◽  
Emergent Geometry ◽  
Higher Spin

Abstract We analyze a novel approach to gauging rigid higher derivative (higher spin) symmetries of free relativistic actions defined on flat spacetime, building on the formalism originally developed by Bonora et al. and Bekaert et al. in their studies of linear coupling of matter fields to an infinite tower of higher spin fields. The off-shell definition is based on fields defined on a 2d-dimensional master space equipped with a symplectic structure, where the infinite dimensional Lie algebra of gauge transformations is given by the Moyal commutator. Using this algebra we construct well-defined weakly non-local actions, both in the gauge and the matter sector, by mimicking the Yang-Mills procedure. The theory allows for a description in terms of an infinite tower of higher spin spacetime fields only on-shell. Interestingly, Euclidean theory allows for such a description also off-shell. Owing to its formal similarity to non-commutative field theories, the formalism allows for the introduction of a covariant potential which plays the role of the generalised vielbein. This covariant formulation uncovers the existence of other phases and shows that the theory can be written in a matrix model form. The symmetries of the theory are analyzed and conserved currents are explicitly constructed. By studying the spin-2 sector we show that the emergent geometry is closely related to teleparallel geometry, in the sense that the induced linear connection is opposite to Weitzenböck’s.

scholarly journals ON THE CONFORMAL ANOMALY FROM HIGHER DERIVATIVE GRAVITY IN AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 15 (03) ◽  
pp. 413-428 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Einstein Gravity ◽  
Low Energy ◽  
Field Theories ◽  
Conformal Anomaly ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Yang Mills ◽  
Conformal Field ◽  
Higher Derivative

We follow Witten's proposal1 in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of above (d + 1)-dimensional higher derivative gravity which includes not only the Einstein term and cosmological constant but also curvature squared terms. The explicit expression for two-dimensional and four-dimensional anomalies is found, it contains higher derivative corrections. In particular, it is shown that not only Einstein gravity but also theory with the Lagrangian L =aR2 + bRμνRμν + Λ (even when a=0 or b=0) is five-dimensional bulk theory for [Formula: see text] super-Yang–Mills theory in AdS/CFT correspondence. Similarly, the d + 1 = 3 theory with (or without) Einstein term may describe d = 2 scalar or spinor CFT's. That gives new versions of bulk side which may be useful in different aspects. As application of our general formalism we find next-to-leading corrections to the conformal anomaly of [Formula: see text] supersymmetric theory from d = 5 AdS higher derivative gravity (low energy string effective action).

scholarly journals Supersymmetry, T-duality and heterotic α′-corrections

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Eric Lescano ◽  
Carmen A. Núñez ◽  
Jesús A. Rodríguez
Keyword(s):  
Effective Field ◽  
Heterotic String ◽  
Supersymmetry Algebra ◽  
Yang Mills ◽  
First Order ◽  
Duality Symmetry ◽  
Transformation Rules ◽  
Higher Derivative ◽  
String Spectrum ◽  
Fermionic Fields

Abstract Higher-derivative interactions and transformation rules of the fields in the effective field theories of the massless string states are strongly constrained by space-time symmetries and dualities. Here we use an exact formulation of ten dimensional $$ \mathcal{N} $$ N = 1 supergravity coupled to Yang-Mills with manifest T-duality symmetry to construct the first order α′-corrections of the heterotic string effective action. The theory contains a supersymmetric and T-duality covariant generalization of the Green-Schwarz mechanism that determines the modifications to the leading order supersymmetry transformation rules of the fields. We compute the resulting field-dependent deformations of the coefficients in the supersymmetry algebra and construct the invariant action, with up to and including four-derivative terms of all the massless bosonic and fermionic fields of the heterotic string spectrum.

scholarly journals Dynamical compactification and inflation in Einstein-Yang-Mills theory with higher derivative coupling

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
Hironobu Kihara ◽  
Muneto Nitta ◽  
Misao Sasaki ◽  
Chul-Moon Yoo ◽  
Ignacio Zaballa
Keyword(s):  
Derivative Coupling ◽  
Yang Mills ◽  
Higher Derivative

scholarly journals Supersymmetry and higher derivative terms in the effective action of Yang-Mills theories

1998 ◽  
Vol 1998 (06) ◽  
pp. 012-012 ◽  
Author(s):  
Sonia Paban ◽  
Savdeep Sethi ◽  
Mark Stern
Keyword(s):  
Effective Action ◽  
Yang Mills ◽  
Higher Derivative

scholarly journals A NOTE ON THE QUADRATIC DIVERGENCE IN HYBRID REGULARIZATION

2000 ◽  
Vol 15 (15) ◽  
pp. 955-963 ◽  
Author(s):  
KOH-ICHI NITTOH
Keyword(s):  
Covariant Derivative ◽  
Regularization Method ◽  
Explicit Calculation ◽  
Yang Mills ◽  
Higher Derivative ◽  
Higher Covariant Derivative

We consider the quadratic divergence of the Yang–Mills theory when we use the hybrid regularization method consisting of higher covariant derivative terms and the Pauli–Villars fields. By explicit calculation of the diagrams, we show that the higher derivative terms for the ghost fields are necessary for the complete cancellation of the quadratic divergence.

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