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We derive the component Lagrangian for a generic N=1/2 supersymmetric chiral model with an arbitrary number of fields in four space-time dimensions. We then investigate a toy model in which the deformation parameter modifies the undeformed…

High Energy Physics - Theory · Physics 2009-11-11 Thomas A. Ryttov , Francesco Sannino

In the context of Chern--Simons (CS) Theory, a subspace separation method for the Lagrangian is proposed. The method is based on the iterative use of the Extended Cartan Homotopy Formula, and allows one to (1) separate the action in bulk…

High Energy Physics - Theory · Physics 2008-11-26 Fernando Izaurieta , Eduardo Rodríguez , Patricio Salgado

The three dimensional N=2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be…

High Energy Physics - Theory · Physics 2011-05-05 Davide Gaiotto , Xi Yin

We develop an approach based on edge theories to calculate the entanglement entropy and related quantities in (2+1)-dimensional topologically ordered phases. Our approach is complementary to, e.g., the existing methods using replica trick…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Xueda Wen , Shunji Matsuura , Shinsei Ryu

In this work we revisit the topological mass generation of 2-forms and establish a connection to the unique derivative coupling arising in the quartic Lagrangian of the systematic construction of massive $2-$form interactions, relating in…

High Energy Physics - Theory · Physics 2020-09-21 Juan P. Beltrán Almeida , Alejandro Guarnizo , Lavinia Heisenberg , César A. Valenzuela-Toledo , Jann Zosso

Recent results of A. Sen on quantum field theory models with self-dual field strengths use string field theory as a starting point. In the present work, we show that combining string field theory and supergeometry we can provide a…

High Energy Physics - Theory · Physics 2021-11-17 C. A. Cremonini , P. A. Grassi

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

In this PhD thesis, we investigate a wide class of three-dimensional massive gravity models and show how most of them (if not all) can be brought in a first-order, Chern-Simons-like, formulation. This allows for a general analysis of the…

High Energy Physics - Theory · Physics 2014-11-26 Wout Merbis

The Abelian Chern-Simons gauge theory is constructed on the three-dimensional spacetime lattice. This proposal introduces both lattice and dual lattice, and the gauge field on the dual lattice is expressed in terms of the gauge field on the…

High Energy Physics - Theory · Physics 2022-01-26 Bingnan Zhang

We consider the Chern-Simons theory with Wilson lines in 3D and in 1D in the BV-BFV formalism of Cattaneo-Mnev-Reshetikhin. In particular, we allow for Wilson lines to end on the boundary of the space-time manifold. In the toy model of 1D…

Mathematical Physics · Physics 2015-06-12 Anton Alekseev , Yves Barmaz , Pavel Mnev

By coupling {\cal N}=8 superconformal matter to {\cal N}=8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS_3 solutions and superconformal symmetry breaking.…

High Energy Physics - Theory · Physics 2015-06-04 Ulf Gran , Jesper Greitz , Paul Howe , Bengt E. W. Nilsson

We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter…

High Energy Physics - Theory · Physics 2024-12-17 Alex S. Arvanitakis , Lewis T. Cole , Saskia Demulder , Daniel C. Thompson

We consider the topological abelian BF theory with radial boundary on a generic 3D manifold. Our aim is to study if, where and how the boundary keeps memory of the details of the background metric. We find that some features are…

High Energy Physics - Theory · Physics 2022-03-28 Erica Bertolini , Filippo Fecit , Nicola Maggiore

We study an Abelian gauged $O(5)$ Skyrme model in $4+1$ dimensions, featuring the $F^4$ Maxwell and the Chern-Simons terms. Our aim is to expose the mechanism, discovered in the analogous Abelian gauged $O(3)$ Skyrme model in $2+1$…

High Energy Physics - Theory · Physics 2021-01-27 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

The algebraic and geometric structures of deformations are analyzed concerning topological field theories of Schwarz type by means of the Batalin-Vilkovisky formalism. Deformations of the Chern-Simons-BF theory in three dimensions induces…

High Energy Physics - Theory · Physics 2009-11-07 Noriaki Ikeda

All consistent interactions in a three-dimensional theory with tensor gauge fields of degrees two and three are obtained by means of the deformation of the solution to the master equation combined with cohomological techniques. The local…

High Energy Physics - Theory · Physics 2009-11-10 S. O. Saliu

In the top-down holographic model of QCD based on D4/D8-branes in type IIA string theory and some of the bottom up models, the low energy effective theory of mesons is described by a 5 dimensional Yang-Mills-Chern-Simons theory in a certain…

High Energy Physics - Theory · Physics 2017-06-21 Pak Hang Chris Lau , Shigeki Sugimoto

In previous work (Singh, 2011), we constructed an action in six dimensions using Yang-Mills fields and an auxiliary Abelian field. Here we first write down all the equations of motion and the constraints which arise from such an action.…

High Energy Physics - Theory · Physics 2015-06-12 Harvendra Singh

We consider a topological coupling between a pseudo-scalar field and a 3-form gauge field in ${\cal N}=1$ supersymmetric higher derivative 3-form gauge theories in four spacetime dimensions. We show that ghost/tachyon-free higher derivative…

High Energy Physics - Theory · Physics 2019-05-28 Muneto Nitta , Ryo Yokokura

Auxiliary field techniques have recently gained interest in four-dimensional non-linear electrodynamics and two-dimensional integrable sigma models. In these settings, coupling a suitable ``seed'' theory to auxiliary fields provides a…

High Energy Physics - Theory · Physics 2026-02-25 Nicola Baglioni , Daniele Bielli , Michele Galli , Gabriele Tartaglino-Mazzucchelli