Weyl covariant theories of gravity in 3-dimensional Riemann–Cartan–Weyl space-times

Dereli, Tekin; Yetişmişoğlu, Cem

doi:10.1088/1361-6382/ab4378

Cited by 4 publications

(5 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that the dual field strength, denoted by H, is a 1-form. Hence, we can choose C = κ H in the shift (22) where κ is a constant and (23) becomes…”

Section: Gauge Theory Examplesmentioning

confidence: 99%

See 1 more Smart Citation

A Review of Third Way Consistent Theories

Deger

2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

We will give an overview of “third way consistent” theories. Field equations of such models do not come from the variation of a local action without auxiliary fields, yet their covariant divergences still vanish on-shell. First examples were discovered in three dimensions which were pure massive gravity and Yang-Mills theories. However, recently interacting p-form theories with this property in arbitrary dimensions were also constructed. After explaining construction of these theories and some of their general features, we will discuss some open problems and future directions.

show abstract

“…Note that the dual field strength, denoted by H, is a 1-form. Hence, we can choose C = κ H in the shift (22) where κ is a constant and (23) becomes…”

Section: Gauge Theory Examplesmentioning

confidence: 99%

“…In [21] an alternative description of MMG based only on dreibein and spin connection is given where the Lorentz gauge symmetry is broken. Finally, in [22] it is shown that MMG is related with the break of the Weyl symmetry. It would be interesting to clarify connections between these different approaches.…”

mentioning

confidence: 97%

A Review of Third Way Consistent Theories

Deger

2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…In this work, by using the exterior algebra notation, the matter coupling in MMG is studied by first considering that matter Lagrangian depends on the metric co-frame one-forms together with the matter fields and next concentrating on the case where the matter Lagrangian depends on the connection field as well. It should also be noted that within the same formalism, MMG has been worked out in the works [21][22][23][24] but without any consideration of the matter coupling. The first part of the study is in fact rephrasing of the work [13] by using the exterior algebra formalism.…”

Section: Introductionmentioning

confidence: 99%

Matter coupling in minimal massive 3D gravity and spinor-matter interactions in exterior algebra formalism

Cebeci¹

2022

Class. Quantum Grav.

View full text Add to dashboard Cite

In this work, by employing the exterior algebra formalism, we study the matter coupling in Minimal Massive 3D Gravity (MMG) by first considering that the matter Lagrangian is connection-independent and then considering that the matter coupling is connection-dependent. The matter coupling in MMG has been previously investigated in the work \cite{arvanitakis_2} in tensorial notation where the matter Lagrangian is considered to be connection-independent. In the first part of the present paper, we revisit the connection-independent matter coupling by using the language of differential forms. We derive the MMG field equation and construct the related source 2-form. We also obtain the consistency relation within this formalism. Next, we examine the case where the matter Lagrangian is connection-dependent. In particular, we concentrate on the spinor-matter coupling and obtain the MMG field equation by explicitly constructing the source term. We also get the consistency relation that the source term should satisfy in order that spinor-matter coupled MMG equation be consistent.

show abstract

“…In this work, motivated by [19], we aim to investigate the pp-wave type solutions of MMG minimally coupled with Maxwell-Chern-Simons theory within the exterior algebra formalism. It should also be noted that using the same formalism, MMG has been studied in the works [20][21][22][23][24] where a detailed investigation of the matter-coupling in the exterior algebra formalism is performed in the work [24]. Now in the first part of the present study, we obtain the field equations by making variations of the matter-coupled MMG Lagrangian with respect to co-frames, connections, auxiliary one-form and Maxwell potential one-form fields.…”

Section: Introductionmentioning

confidence: 99%

A note on the pp-wave solution of minimal massive 3D gravity coupled with Maxwell–Chern–Simons theory

Cebeci¹,

Dereli²,

Şentorun³

2022

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

In this work, we examine a family of $pp$-wave solutions of Minimal Massive 3d Gravity (MMG) minimally coupled with the Maxwell-Chern-Simons theory. An elaborate investigation of the field equations shows that the theory admits $pp$-wave solutions provided that there exist an anti-self duality relation between the electric and the magnetic components of the Maxwell 2-form field. By employing Noether-Wald formalism, we also construct Noether charges of the theory within exterior algebra formalism.

show abstract

Weyl covariant theories of gravity in 3-dimensional Riemann–Cartan–Weyl space-times

Cited by 4 publications

References 34 publications

A Review of Third Way Consistent Theories

A Review of Third Way Consistent Theories

Matter coupling in minimal massive 3D gravity and spinor-matter interactions in exterior algebra formalism

A note on the pp-wave solution of minimal massive 3D gravity coupled with Maxwell–Chern–Simons theory

Contact Info

Product

Resources

About