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We consider type II superstring compactifications on the singular Spin(7) manifold constructed as a cone on SU(3)/U(1). Based on a toric realization of the projective space CP^2, we discuss how the manifold can be viewed as three…

High Energy Physics - Theory · Physics 2009-11-10 Adil Belhaj , Jorgen Rasmussen

We consider topological twists of four-dimensional $\mathcal{N}=2$ supersymmetric QCD with gauge group SU(2) and $N_f\leq 3$ fundamental hypermultiplets. The twists are labelled by a choice of background fluxes for the flavour group, which…

High Energy Physics - Theory · Physics 2023-12-21 Johannes Aspman , Elias Furrer , Jan Manschot

In this thesis we discuss some topics about topology and superstring backgrounds with D-branes. We start with a mathematical review about generalized homology and cohomology theories and the Atiyah-Hirzebruch spectral sequence, in order to…

Mathematical Physics · Physics 2013-03-20 Fabio Ferrari Ruffino

We construct a new family of classical BPS solutions of type IIB supergravity describing 3-branes transverse to a 6-dimensional space with topology R^2*ALE. They are characterized by a non-trivial flux of the supergravity 2-forms through…

High Energy Physics - Theory · Physics 2023-08-29 M. Bertolini , V. L. Campos , G. Ferretti , P. Fré , P. Salomonson , M. Trigiante

We study 2d chiral theories arising from 4d N=4 Super-Yang Mills (SYM) with varying coupling tau. The 2d theory is obtained by dimensional reduction of N=4 SYM on a complex curve with a partial topological twist that accounts for the…

High Energy Physics - Theory · Physics 2017-11-27 Craig Lawrie , Sakura Schafer-Nameki , Timo Weigand

We construct $AdS_4 \times \Sigma$ and $AdS_2 \times \Sigma \times \Sigma_g$ solutions in F(4) gauged supergravity in six dimensions, where $\Sigma$ is a two dimensional manifold of non-constant curvature with conical singularities at its…

High Energy Physics - Theory · Physics 2022-06-28 Suvendu Giri

Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence…

High Energy Physics - Theory · Physics 2016-07-19 D. V. Uvarov

I review a recently proposed method for determining the symmetry superalgebra of a supergravity configuration from its Killing spinors, and its application to the `near-horizon' limits of various rotating and intersecting branes.

High Energy Physics - Theory · Physics 2007-05-23 P. K. Townsend

We study confinement in 4d $\mathcal{N}=1$ $SU(N)$ Super-Yang Mills (SYM) from a holographic point of view, focusing on the 1-form symmetry and its relation to chiral symmetry breaking. In the 5d supergravity dual, obtained by truncation of…

High Energy Physics - Theory · Physics 2021-09-08 Fabio Apruzzi , Marieke van Beest , Dewi S. W. Gould , Sakura Schafer-Nameki

Using a six-orientifold on top of a NS-fivebrane we construct a chiral N=1 supersymmetric gauge theory in four dimensions with gauge group SU(N_c) and matter in the symmetric, antisymmetric and (anti)fundamental representations. Anomaly…

High Energy Physics - Theory · Physics 2009-10-31 Karl Landsteiner , Esperanza Lopez , David A. Lowe

We investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show…

High Energy Physics - Theory · Physics 2012-09-28 Paul de Medeiros

We construct supergravity plus branes solutions, which we argue to be related to 4d N=1 SQCD with a quartic superpotential. The geometries depend on the ratio Nf/Nc which can be kept of order one, present a good singularity at the origin…

High Energy Physics - Theory · Physics 2010-04-06 Roberto Casero , Carlos Nunez , Angel Paredes

In certain regions of the moduli space of K3 and Calabi-Yau manifolds, D-branes wrapped on non-supersymmetric cycles may give rise to stable configurations. We show that in the orbifold limit, some of these stable configurations can be…

High Energy Physics - Theory · Physics 2009-10-31 Ashoke Sen

We describe supersymmetric A-branes and B-branes in open N=(2,2) dynamically gauged nonlinear sigma models (GNLSM), placing emphasis on toric manifold target spaces. For a subset of toric manifolds, these equivariant branes have a mirror…

High Energy Physics - Theory · Physics 2018-03-21 Meer Ashwinkumar , Meng-Chwan Tan

We apply some methods of homology and K-theory to special classes of branes wrapping homologically nontrivial cycles. We treat the classification of four-geometries in terms of compact stabilizers (by analogy with Thurston's classification…

High Energy Physics - Theory · Physics 2009-11-13 Andrey Bytsenko

We consider $d=2$, $\mathcal{N}=(0,2)$ SCFTs that can arise from M5-branes wrapping four-dimensional, complex, toric manifolds and orbifolds. We use equivariant localization to compute the off-shell central charge of the dual supergravity…

High Energy Physics - Theory · Physics 2023-11-10 Pietro Benetti Genolini , Jerome P. Gauntlett , James Sparks

Topological euclidean gravity is built in eight dimensions for manifolds with $Spin(7) \subset SO(8)$ holonomy. In a previous work, we considered the construction of an eight-dimensional topological theory describing the graviton and one…

High Energy Physics - Theory · Physics 2009-11-10 Laurent Baulieu , Marc Bellon , Alessandro Tanzini

We construct a consistent truncation of six-dimensional matter coupled $F(4)$ gauged supergravity on a cornucopia of two-dimensional surfaces including a spindle, disc, domain wall and other novel backgrounds to four-dimensional minimal…

High Energy Physics - Theory · Physics 2023-02-22 Christopher Couzens , Hyojoong Kim , Nakwoo Kim , Yein Lee , Minwoo Suh

We construct new families of supersymmetric AdS$_3$ solutions in both massive and massless Type IIA supergravity via deformations to known backgrounds preserving $\mathcal{N} = (4,0)$ and $\mathcal{N} = (6,0)$ supersymmetry. These…

High Energy Physics - Theory · Physics 2025-04-16 Anayeli Ramirez , Salomon Zacarias

Spectral flow in two-dimensional field theories is known to correspond to geometrical twisting between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1) x SO(k+1) isometries with k>1 and…

High Energy Physics - Theory · Physics 2024-08-19 Oleg Lunin , Parita Shah