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A notable class of superconformal theories (SCFTs) in six dimensions is parameterized by an integer $N$, an ADE group $G$, and two nilpotent elements $\mu_\mathrm{L,R}$ in $G$. Nilpotent elements have a natural partial ordering, which has…

High Energy Physics - Theory · Physics 2019-03-27 G. Bruno De Luca , Alessandra Gnecchi , Gabriele Lo Monaco , Alessandro Tomasiello

Multi-parametric families of AdS$_{4}$ vacua with various amounts of supersymmetry and residual gauge symmetry are found in the $\,[\textrm{SO}(1,1) \times \textrm{SO}(6)] \ltimes \mathbb{R}^{12}\,$ maximal supergravity that arises from the…

High Energy Physics - Theory · Physics 2021-05-26 Adolfo Guarino , Colin Sterckx , Mario Trigiante

Some AdS$_3 \times M_7$ type IIB vacua have been recently proposed to arise from D3-branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly construct a generalization of these solutions corresponding to…

High Energy Physics - Theory · Physics 2021-07-27 Seyed Morteza Hosseini , Kiril Hristov , Alberto Zaffaroni

Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS$_4$ solutions. In…

High Energy Physics - Theory · Physics 2023-03-22 Mariana Graña , Nicolas Kovensky , Dimitrios Toulikas

We consider flux vacua attractor equations in type IIA string theory compactified on generalized geometries with orientifold projections. The four-dimensional N=1 superpotential in this compactification can be written as the sum of the…

High Energy Physics - Theory · Physics 2009-05-29 Tetsuji Kimura

A fundamental problem in contemporary string/M theory is to count the number of inequivalent vacua satisfying constraints in a string theory model. This article contains the first rigorous results on the number and distribution of…

Mathematical Physics · Physics 2010-12-03 Michael R. Douglas , Bernard Shiffman , Steve Zelditch

We give a classification of fully supersymmetric chiral ${\cal N}=(8,0)$ AdS$_3$ vacua in general three-dimensional half-maximal gauged supergravities coupled to matter. These theories exhibit a wealth of supersymmetric vacua with…

High Energy Physics - Theory · Physics 2019-10-24 Nihat Sadik Deger , Camille Eloy , Henning Samtleben

In this article we review four-dimensional string vacua with N=2 space-time supersymmetry. In particular, we will discuss several aspects of the string-string duality between the heterotic string, compactified on $K3\times T^2$, and the…

High Energy Physics - Theory · Physics 2015-06-26 Dieter Lust

It has recently been proposed that certain nonsupersymmetric type II orbifolds have vanishing perturbative contributions to the cosmological constant. We show that techniques of Sen and Vafa allow one to construct dual type II descriptions…

High Energy Physics - Theory · Physics 2009-10-31 Shamit Kachru , Eva Silverstein

We show that for supersymmetric AdS vacua on Type IIA orientifolds with flux compactifications, the RR tadpole cancellation conditions can be completely relaxed, and then the four-dimensional N=1 supersymmetry conditions are the main…

High Energy Physics - Theory · Physics 2008-11-26 Ching-Ming Chen , Tianjun Li , Dimitri V. Nanopoulos

A precise correspondence between freely-acting orbifolds (Scherk-Schwarz compactifications) and string vacua with NSNS flux turned on is established using T-duality. We focus our attention to a certain non-compact Z_2 heterotic…

High Energy Physics - Theory · Physics 2009-11-10 M. Serone , M. Trapletti

It was recently shown that string theory on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ with minimal NS-NS flux ($k = 1$) is exactly dual to the symmetric orbifold of T4. Here we show that a similar statement also holds for the…

High Energy Physics - Theory · Physics 2020-02-05 Matthias R. Gaberdiel , Jeremy A. Mann

Warped compactifications of massive type IIA supergravity on a 3-sphere with spacetime-filling O6/D6 sources are known to admit a half-maximal gauged supergravity description in 7D. We study the effect of introducing open string degrees of…

High Energy Physics - Theory · Physics 2026-03-06 Valentina Bevilacqua , Giuseppe Dibitetto , Giuseppe Sudano

We apply the techniques of special Kaehler geometry to investigate AdS_4 vacua of general N=2 gauged supergravities underlying flux compactifications of type II theories. We formulate the scalar potential and its extremization conditions in…

High Energy Physics - Theory · Physics 2014-11-20 Davide Cassani , Sergio Ferrara , Alessio Marrani , Jose F. Morales , Henning Samtleben

We investigate the effects of the leading tadpole potentials of 10D tachyon-free non-supersymmetric strings in warped products of flat geometries of the type M(p+1) x R x T(10-p-2) depending on a single coordinate. In the absence of fluxes…

High Energy Physics - Theory · Physics 2022-01-05 J. Mourad , A. Sagnotti

We study compactifications of type IIA string theory on Calabi-Yau manifolds that are mirror to a subset of the type IIB LARGE-volume models. A combination of flux, alpha' corrections and non-perturbative effects stabilises the moduli in a…

High Energy Physics - Theory · Physics 2009-12-04 Eran Palti , Gianmassimo Tasinato , John Ward

We propose a new consistency condition for the compatibility of a gravitational effective field theory in AdS with a dual holographic description in terms of a family of large-$N$ CFTs. Using large-$N$ factorization of correlation functions…

High Energy Physics - Theory · Physics 2026-05-05 Nikolay Bobev , Hynek Paul , Filippo Revello

We establish the precise correspondence between Type-IIA flux compactifications preserving an exact or spontaneously broken N=4 supersymmetry in four dimensions, and gaugings of their effective N=4 supergravities. We exhibit the explicit…

High Energy Physics - Theory · Physics 2009-11-03 Gianguido Dall'Agata , Giovanni Villadoro , Fabio Zwirner

It is not understood whether scale-separated AdS vacua in string theory admit a holographic dual. A well-known class of such vacua is provided by the DGKT solutions of massive type IIA string theory, where scale separation arises from large…

High Energy Physics - Theory · Physics 2026-01-22 Fien Apers

We introduce an algorithm (dubbed "flux backtracking") to reverse-engineer the brane picture from an AdS flux vacuum. Given an AdS flux vacuum as input, the algorithm outputs a singularity in 10 or 11 dimensions. This singularity has the…

High Energy Physics - Theory · Physics 2025-06-05 Fien Apers , Miguel Montero , Irene Valenzuela
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