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In this paper, we study the restoration of gauge symmetry and up to half the supersymmetry (N=(2,0) or N=(1,1) in two dimensions) for N=2 non-Abelian Chern-Simons theories in the presence of a boundary. We describe the boundary action which…

High Energy Physics - Theory · Physics 2016-12-08 Mir Faizal , Yuan Luo , Douglas J Smith , Meng-Chwan Tan , Qin Zhao

The investigation of strings and M-theory involves the understanding of various BPS solitons which in a certain approximation can be thought of as solutions of ten- and eleven-dimensional supergravity theories. These solitons have a brane…

Differential Geometry · Mathematics 2007-05-23 G. Papadopoulos

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

In this paper, we will analyze a three dimensional supersymmetric Chern-Simons theory on a manifold with a boundary. The boundary we will consider in this paper will be defined by $n\cdot x=0$, where $n$ is a light-like vector. It will be…

High Energy Physics - Theory · Physics 2016-02-23 Jiří Vohánka , Mir Faizal

Bulk matter modes of higher dimensional models generically become unstable in the presence of additional matter multiplets at the branes. This quantum instability is driven by localized Fayet-Iliopoulos terms that attract the bulk zero…

High Energy Physics - Theory · Physics 2008-11-26 S. Groot Nibbelink , H. P. Nilles , M. Olechowski

The coupling between Chern-Simons theories and matter sources defined by branes of different dimensionalities is examined. It is shown that the standard coupling to membranes, such as the one found in supergravity or in string theory, does…

High Energy Physics - Theory · Physics 2015-05-13 Jose D. Edelstein , Jorge Zanelli

We introduce an unrolled quantization $U_q^E(\mathfrak{gl}(1 \vert 1))$ of the complex Lie superalgebra $\mathfrak{gl}(1 \vert 1)$ and use its categories of weight modules to construct and study new three dimensional non-semisimple…

Quantum Algebra · Mathematics 2022-12-09 Nathan Geer , Matthew B. Young

Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory, in which the pullback of the curvature to the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Lee Smolin

We propose bulk 3D N=4 rank-0 superconformal field theories, which are related to 2D N=1 supersymmetric minimal models, SM(2, ...) and SM(3, ...), via recently discovered non-unitary bulk-boundary correspondence. The correspondence relates…

High Energy Physics - Theory · Physics 2024-06-04 Seungjoo Baek , Dongmin Gang

We show that the four-dimensional Chern-Simons theory studied by Costello, Witten and Yamazaki, is, with Nahm pole-type boundary conditions, dual to a boundary theory that is a three-dimensional analogue of Toda theory with a novel 3d…

High Energy Physics - Theory · Physics 2022-08-02 Meer Ashwinkumar , Kee-Seng Png , Meng-Chwan Tan

We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for…

High Energy Physics - Theory · Physics 2015-03-18 Yosuke Imamura , Daisuke Yokoyama , Shuichi Yokoyama

We present a detailed path integral derivation of the topological response of gapped free fermions, in $2+1$ dimensions, to an external $\text{U}(1)$ Gauge field. The well-known Hall response is obtained by identifying the Chern-Simons term…

Strongly Correlated Electrons · Physics 2017-05-15 B. Mera

We investigate the recently developed theory of multiple membranes. In particular, we consider open membranes, i.e. the theory defined on a membrane world volume with a boundary. We first restrict our attention to the gauge sector of the…

High Energy Physics - Theory · Physics 2010-12-17 David S Berman , Daniel C Thompson

A recent paper [arXiv:0801.4566] claims that topologically massive gravity contains only chiral boundary excitations at a particular value of the Chern-Simons coupling. On the other hand, propagating bulk degrees of freedom were found even…

High Energy Physics - Theory · Physics 2011-02-07 Gaston Giribet , Matthew Kleban , Massimo Porrati

The abelian Chern-Simons theory is considered on a cylindrical spacetime $\mathbb{R} \times D$, in a not necessarily flat Lorentzian background. As in the flat bulk case with planar boundary, we find that also on the radial boundary of a…

High Energy Physics - Theory · Physics 2021-11-15 Erica Bertolini , Giulio Gambuti , Nicola Maggiore

We describe how to calculate the amount of supersymmetry associated to a class of supergravity theories obtained by compactification on T-folds. We illustrate our discussion by calculating the degree of supersymmetry enjoyed by a particular…

High Energy Physics - Theory · Physics 2009-11-11 James Gray , Emily Hackett-Jones

Some aspects of the role of p-branes in non-perturbative superstring theory and M-theory are reviewed. It is then shown how the Chern-Simons terms in D=10 and D=11 supergravity theories determine which branes can end on which, i.e. the…

High Energy Physics - Theory · Physics 2009-10-30 P. K. Townsend

We place bounds on the order of enhanced discrete gauge symmetries that act on massless fields and thus arise at subloci of the moduli space in supergravity theories. We focus on supersymmetric theories with 8 or more supercharges which in…

High Energy Physics - Theory · Physics 2026-04-30 Zihni Kaan Baykara , Markus Dierigl , Hee-Cheol Kim , Cumrun Vafa , Kai Xu

We construct an action for the N=2 supersymmetric sine-Gordon model on the half-line, which we argue is both supersymmetric and integrable. The boundary interaction depends on three continuous boundary parameters, as well as the bulk mass…

High Energy Physics - Theory · Physics 2009-11-07 Rafael I. Nepomechie

We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d relation, we deduce quantitative predictions for the perturbative free energy of a…

High Energy Physics - Theory · Physics 2015-09-01 Dongmin Gang , Nakwoo Kim , Sangmin Lee
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