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Related papers: TCFHs and hidden symmetries of type IIA AdS backgr…

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Multi-parameter families of $\mathcal{N}=0$ Type IIA and Type IIB AdS$_5$ solutions are presented, promoting to $\mathcal{N}=1$ in some special cases. The G-Structure description of each $\mathcal{N}=1$ solution is given, requiring an…

High Energy Physics - Theory · Physics 2024-08-27 Paul Merrikin

T-branes are a non-abelian generalization of intersecting branes in which the matrix of normal deformations is nilpotent along some subspace. In this paper we study the geometric remnant of this open string data for six-dimensional F-theory…

High Energy Physics - Theory · Physics 2015-06-17 Lara B. Anderson , Jonathan J. Heckman , Sheldon Katz

A Killing-Yano tensor is an antisymmetric tensor obeying a first-order differential constraint similar to that obeyed by a Killing vector. In this article we consider generalisations of such objects, focusing on the conformal case. These…

High Energy Physics - Theory · Physics 2018-12-05 P. S. Howe , U. Lindström

We show the existence of conformal Killing-Yano tensors on a manifold endowed with a mixed 3-Sasakian structure.

Differential Geometry · Mathematics 2009-02-24 Stere Ianus , Mihai Visinescu , Gabriel Eduard Vilcu

Symmetry operators of twistor spinors and harmonic spinors can be constructed from conformal Killing-Yano forms. Transformation operators relating twistors to harmonic spinors are found in terms of potential forms. These constructions are…

Mathematical Physics · Physics 2018-11-14 Ümit Ertem

Benefiting from the index spinorial formalism, the Killing spinor equation is integrated in six-dimensional spacetimes. The integrability conditions for the existence of a Killing spinor are worked out and the Killing spinors are classified…

High Energy Physics - Theory · Physics 2016-03-09 Carlos Batista

We develop a new framework for the study of generalized Killing spinors, where generalized Killing spinor equations, possibly with constraints, can be formulated equivalently as systems of partial differential equations for a polyform…

Differential Geometry · Mathematics 2022-02-15 Vicente Cortés , Calin Lazaroiu , C. S. Shahbazi

We show that higher degree Dirac currents of twistor and Killing spinors correspond to the hidden symmetries of the background spacetime which are generalizations of conformal Killing and Killing vector fields respectively. They are the…

High Energy Physics - Theory · Physics 2015-08-17 Özgür Açık , Ümit Ertem

We add to the mounting evidence that the topological B model's normalized holomorphic three-form has integral periods by demonstrating that otherwise the B2-brane partition function is ill-defined. The resulting Calabi-Yau manifolds are…

High Energy Physics - Theory · Physics 2008-04-24 Jarah Evslin , Ruben Minasian

We perform a systematic study, in eleven dimensional supergravity, of the geometry of wrapped brane configurations admitting $AdS_2$ limits. Membranes wrapping holomorphic curves in Calabi-Yau manifolds are found to exhibit some novel…

High Energy Physics - Theory · Physics 2010-10-27 Oisin A. P. Mac Conamhna , Eoin O Colgain

We expand upon a claim made in a recent paper [arXiv:1411.5721] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type II and M theory can be understood as satisfying a straightforward weak…

High Energy Physics - Theory · Physics 2016-12-21 André Coimbra , Charles Strickland-Constable

We construct a family of warped AdS_5 compactifications of IIB supergravity that are the holographic duals of the complete set of N=1 fixed points of a Z_2 quiver gauge theory. This family interpolates between the T^{1,1} compactification…

High Energy Physics - Theory · Physics 2010-02-03 N. Halmagyi , K. Pilch , C. Romelsberger , N. P. Warner

We give a systematic description of all warped $AdS_n$ and ${\mathbb{R}}^{n-1,1}$ backgrounds of M-theory and identify the a priori number of supersymmetries that these backgrounds preserve. In particular, we show that $AdS_n$ backgrounds…

High Energy Physics - Theory · Physics 2015-06-22 J. B. Gutowski , G. Papadopoulos

Higher-Form Symmetries (HFS) of a closed bosonic M2-brane formulated on a compactified target space $\mathcal{M}_9 \times T^2$ are investigated. We show that there is an obstruction to the gauging of these global symmetries in the presence…

High Energy Physics - Theory · Physics 2026-02-19 Fabián Caro-Pérez , María Pilar García del Moral , Álvaro Restuccia

We extend the spinorial geometry techniques developed for the solution of supergravity Killing spinor equations to the kappa symmetry condition for supersymmetric brane probe configurations in any supergravity background. In particular, we…

High Energy Physics - Theory · Physics 2009-11-11 G. Papadopoulos , P. Sloane

Conformal Killing forms are a natural generalization of conformal vector fields on Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We show the existence of…

Differential Geometry · Mathematics 2007-05-23 U. Semmelmann

Conformal Killing-Yano tensors are introduced as a generalization of Killing vectors. They describe symmetries of higher-dimensional rotating black holes. In particular, a rank-2 closed conformal Killing-Yano tensor generates the tower of…

High Energy Physics - Theory · Physics 2015-05-27 Yukinori Yasui , Tsuyoshi Houri

In this paper we propose and investigate in full generality new notions of (continuous, non-isometric) symmetry on hyperk\"ahler spaces. These can be grouped into two categories, corresponding to the two basic types of continuous…

Differential Geometry · Mathematics 2019-07-17 Radu A. Ionas

We determine generalized symmetries for 4D theories engineered via type II strings on non-supersymmetric orbifold backgrounds $\mathbb{R}^{3,1} \times \mathbb{R}^6 / \Gamma$. Probe branes detect generalized symmetries via the adjacency…

High Energy Physics - Theory · Physics 2025-02-17 Noah Braeger , Vivek Chakrabhavi , Jonathan J. Heckman , Max Hübner

We consider generalizations of the AdS/CFT correspondence in which probe branes are embedded in gravity backgrounds dual to either conformal or confining gauge theories. These correspond to defect conformal field theories (dCFT) or QCD-like…

High Energy Physics - Theory · Physics 2009-11-10 Ingo Kirsch