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We present two-dimensional gauged Lifshitz scalar field theories by considering the duality relation between the source current and the Noether current. Requiring the duality partially, we obtain a gauged model which recovers the bosonized…

High Energy Physics - Theory · Physics 2013-03-25 Myungseok Eune , Wontae Kim , Edwin J. Son

By explicit calculations of four-field couplings, we observe that the higher derivative corrections to the DBI action in flat space-time, can be either in a covariant form or in a T-duality invariant form. The two forms are related by a…

High Energy Physics - Theory · Physics 2016-06-22 Mohammad R. Garousi

The quantum effective action yields equations of motion and correlation functions including all quantum corrections. We discuss here how it encodes also Noether currents at the full quantum level. Interestingly, the construction can be…

High Energy Physics - Theory · Physics 2022-05-05 Stefan Floerchinger , Eduardo Grossi

We consider an Einstein-Hilbert-Dilaton action for gravity coupled to various types of Abelian and non-Abelian gauge fields in a spatially finite system. These include Yang-Mills fields and Abelian gauge fields with three and four-form…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Creighton , R. B. Mann

The section condition in double field theory has been shown to imply that a physical point should be one-to-one identified with a gauge orbit in the doubled coordinate space. Here we show the converse is also true, and continue to explore…

High Energy Physics - Theory · Physics 2014-01-22 Kanghoon Lee , Jeong-Hyuck Park

We show the existence of some new local, covariant and continuous symmetries for the BRST invariant Lagrangian density of a free two ($1 + 1$)-dimensional (2D) Abelian U(1) gauge theory in the framework of superfield formalism. The Noether…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

The relationship between local Weyl scaling invariant models and local dilatation invariant actions is critically scrutinized. While actions invariant under local Weyl scalings can be constructed in a straightforward manner, actions…

High Energy Physics - Theory · Physics 2012-09-19 T. E. Clark , S. T. Love

We derive the variational principle and Noether's theorem in generally covariant field theory in an explicitly coordinate-independent way by means of the exterior calculus over the space-time manifold. We then focus on the symmetry of…

General Relativity and Quantum Cosmology · Physics 2014-04-10 Ermis Mitsou

An extended field theory is presented that captures the full SL(2) x O(6,6+n) duality group of four-dimensional half-maximal supergravities. The theory has section constraints whose two inequivalent solutions correspond to minimal D=10…

High Energy Physics - Theory · Physics 2017-05-24 Franz Ciceri , Giuseppe Dibitetto , J. J. Fernandez-Melgarejo , Adolfo Guarino , Gianluca Inverso

Non-compact symmetries of extended 4d supergravities involve duality rotations of vectors and thus are not manifest off-shell invariances in standard "second-order" formulation. To study how such symmetries are realised in the quantum…

High Energy Physics - Theory · Physics 2015-06-05 R. Roiban , A. A. Tseytlin

For a large class of scalar-tensor-like modified gravity whose action contains nonminimal couplings between a scalar field $\phi(x^\alpha)$ and generic curvature invariants $\mathcal{R}$ beyond the Ricci scalar $R=R^\alpha_{\;\;\alpha}$, we…

General Relativity and Quantum Cosmology · Physics 2016-07-20 David Wenjie Tian

We investigate duality properties of N-form fields, provide a symmetric way of coupling them to electric/magnetic sources, and check that these charges obey the appropriate quantization requirements. First, we contrast the D=4k case, in…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Gomberoff , M. Henneaux , C. Teitelboim

The self-duality of the N=1 supersymmetric Born--Infeld action implies a double self-duality of the tensor multiplet square-root action when the scalar and the antisymmetric tensor are interchanged via Poincare' duality. We show how this…

High Energy Physics - Theory · Physics 2015-06-11 S. Ferrara , A. Sagnotti , A. Yeranyan

It has been proposed that any coupling constant in a covariant action can be treated as a conserved charge by promoting the coupling constant to auxiliary fields, typically realized by a scalar field paired with a higher-form gauge field.…

High Energy Physics - Theory · Physics 2026-05-15 Sojeong Cheong , Myungseok Eune , Wontae Kim , Mungon Nam

We construct a relativistically covariant symmetry of QED. Previous local and nonlocal symmetries are special cases. This generalized symmetry need not be nilpotent, but nilpotency can be arranged with an auxiliary field and a certain…

High Energy Physics - Theory · Physics 2009-10-28 Zhong Tang , David Finkelstein

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Lechtenfeld , Boris Zupnik

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

High Energy Physics - Theory · Physics 2013-12-23 Cedric Troessaert

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

We consider abelian gauge theories on a lattice and develop properties of an axial gauge that is covariant under lattice symmetries. Particular attention is paid to a version that behaves nicely under block averaging renormalization group…

Mathematical Physics · Physics 2015-06-11 J. Dimock

Sen's action for a $p$-form gauge field with self-dual field strength coupled to a spacetime metric $g$ involves an explicit Minkowski metric and the presence of this raises questions as to whether the action is coordinate independent and…

High Energy Physics - Theory · Physics 2024-02-08 C. M. Hull