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This is the final part of a series of papers where we study perturbations of divergence form second order elliptic operators $-\operatorname{div} A \nabla$ by first and zero order terms, whose complex coefficients lie in critical spaces,…

Analysis of PDEs · Mathematics 2023-02-07 Simon Bortz , Steve Hofmann , José Luis Luna Garcia , Svitlana Mayboroda , Bruno Poggi

In this lecture we summarize some recent work on the understanding of instanton effects in string theories with 16 supersymmetries. In particular, we consider F^4 couplings using the duality between the heterotic string on T^4 and type IIA…

High Energy Physics - Theory · Physics 2015-06-25 N. A. Obers , B. Pioline

Working with a gauge coupling field in a linear superfield, we construct effective Lagrangians for N=1 super-Yang-Mills theory fully compatible with the expected all-order behaviour or physical quantities. Using the one-loop dependence on…

High Energy Physics - Theory · Physics 2016-12-28 Nicola Ambrosetti , Daniel Arnold , Jean-Pierre Derendinger , Jelle Hartong

We give some simple examples of mirror Calabi-Yau fourfolds in Type II string theory. These are realised as toroidal orbifolds. Motivated by the Strominger, Yau, Zaslow argument we give explicitly the mirror transformation which maps Type…

High Energy Physics - Theory · Physics 2009-10-30 B. S. Acharya

Using heterotic/type II string duality, we obtain exact nonperturbative results for the point particle limit (alpha' -> 0) of some particular four dimensional, N=2 supersymmetric compactifications of heterotic strings. This allows us to…

High Energy Physics - Theory · Physics 2009-10-07 S. Kachru , A. Klemm , W. Lerche , P. Mayr , C. Vafa

This paper develops a trace-regular variational framework for time-harmonic Maxwell scattering problems involving pointwise nonlinear boundary and interface responses. We investigate three canonical classes of models: nonlinear impedance,…

Analysis of PDEs · Mathematics 2026-05-26 Chao Deng , Yixian Gao

We derive a solution of type IIB supergravity which is asymptotic to AdS_5 x S^5, has SO(6) symmetry, and exhibits some of the features expected of geometries dual to confining gauge theories. At the linearized level, the solution differs…

High Energy Physics - Theory · Physics 2007-05-23 Steven S. Gubser

We propose a manifestly U-duality invariant modular form for the D^6 R^4 interaction in the effective action of type IIB string theory compactified on T^2. It receives perturbative contributions upto genus three, as well as non-perturbative…

High Energy Physics - Theory · Physics 2008-11-26 Anirban Basu

The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1). This enables us to complete the computation of the 4-point amplitudes of dilaton and axion fields in…

High Energy Physics - Theory · Physics 2010-04-06 Eric D'Hoker , Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

In this paper we derive the full set of differential equations and some algebraic relations for p-forms constructed from type IIB Killing spinors. These equations are valid for the most general type IIB supersymmetric backgrounds which have…

High Energy Physics - Theory · Physics 2008-11-26 Emily J. Hackett-Jones , Douglas J. Smith

The effective theory of adiabatic fluctuations around arbitrary Friedmann-Robertson-Walker backgrounds - both expanding and contracting - allows for more than one way to obtain scale-invariant two-point correlations. However, as we show in…

High Energy Physics - Theory · Physics 2015-05-27 Daniel Baumann , Leonardo Senatore , Matias Zaldarriaga

We consider type IIB supergravity on a $\mathbb{Z}_2$ quotient of AdS$_5\times$S$^5$ as the holographic dual of strongly coupled 4d $\mathcal{N}=4$ SYM on $\mathbb{RP}^4$ space with the gauging of charge conjugation. Using bootstrap…

High Energy Physics - Theory · Physics 2024-08-12 Xinan Zhou

The leading order dynamics of the type IIB Large Volume Scenario is characterised by the interplay between $\alpha'$ and non-perturbative effects which fix the overall volume and all local blow-up modes leaving (in general) several flat…

High Energy Physics - Theory · Physics 2016-10-12 Michele Cicoli , David Ciupke , Senarath de Alwis , Francesco Muia

We consider supersymmetric configurations in Type IIB supergravity obtained by the beackreaction of fundamental strings ending on a stack of D3-branes and smeared uniformly in the three spatial directions along the D3-branes. These…

High Energy Physics - Theory · Physics 2014-12-24 Anton F. Faedo , Benjo Fraser , S. Prem Kumar

Using the form of N=2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms of an eighth…

High Energy Physics - Theory · Physics 2008-11-26 J. M. Drummond , L. Gallot , E. Sokatchev

Type IIB S-folds of the form $\textrm{AdS}_{4} \times \textrm{S}^1 \times \textrm{S}^5$ have been shown to contain axion-like deformations parameterising flat directions in the 4D scalar potential and corresponding to marginal deformations…

High Energy Physics - Theory · Physics 2021-12-08 Adolfo Guarino , Colin Sterckx

5-branes of nontrivial topology are associated in the Diaconescu-Hanany-Witten-Witten (DHWW) approach with the Seiberg-Witten (SW) theory of low-energy effective actions. There are two different "pictures", related to the IIA and IIB phases…

High Energy Physics - Theory · Physics 2009-10-30 A. Marshakov , M. Martellini , A. Morozov

We propose two novel methods for computing the superconformal index of 5d superconformal field theories that cannot be described by conventional Lagrangian descriptions under mass deformations. The first approach involves the use of Higgs…

High Energy Physics - Theory · Physics 2023-07-10 Hee-Cheol Kim , Minsung Kim , Sung-Soo Kim , Gabi Zafrir

We revisit the calculation of height correlations in the two-dimensional Abelian sandpile model by taking advantage of a technique developed recently by Kenyon and Wilson. The formalism requires to equip the usual graph Laplacian,…

Statistical Mechanics · Physics 2017-12-25 Adrien Poncelet , Philippe Ruelle

Building upon an earlier proposal for the classification of fluxes, a sequence is proposed which generalizes the AHSS by computing type IIB string theory's group of conserved RR and also NS charges, which is conjectured to be a K-theory of…

High Energy Physics - Theory · Physics 2010-04-05 Jarah Evslin
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