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We test exact marginality of the deformation describing the blow-up of a zero-size D(-1) brane bound to a background of D3-branes by analyzing the equations of motion of superstring field theory to third order in the size. In the process we…

High Energy Physics - Theory · Physics 2019-11-26 Luca Mattiello , Ivo Sachs

In this paper, we study instanton corrections in the N=2* gauge theory by using its description in string theory as a freely-acting orbifold. The latter is used to compute, using the worldsheet, the deformation of the Yang-Mills action. In…

High Energy Physics - Theory · Physics 2017-06-07 Micha Moskovic , Ahmad Zein Assi

We study the integrability to second order of infinitesimal Einstein deformations on compact Riemannian and in particular on K\"ahler manifolds. We find a new way of expressing the necessary and sufficient condition for integrability to…

Differential Geometry · Mathematics 2024-10-16 Paul-Andi Nagy , Uwe Semmelmann

A broad class of higher dimensional instanton solutions are found for a theory which contains gravity, a scalar field and antisymmetric tensor fields of arbitrary rank. The metric used, a warp product of an arbitrary number of any compact…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Gray , E. J. Copeland

Working within the framework of both the $A_\infty$ and the Berkovits open superstring field theory, we derive a necessary and sufficient condition for a Neveu-Schwarz marginal deformation to be exact up to third order in the deformation…

High Energy Physics - Theory · Physics 2019-12-19 Jakub Vošmera

We study the $\mathcal N=2$ field theory realized by D3-branes on the ${\mathbb C}^2/{\mathbb Z}_2$ orbifold. The dual supergravity solution exhibits a repulson singularity cured by the enhancon mechanism. By comparing the open and closed…

High Energy Physics - Theory · Physics 2014-05-07 Eduardo Conde , Micha Moskovic

We study the deformation theory of $\mathrm{G}_2$-instantons on nearly $\mathrm{G}_2$ manifolds. There is a one-to-one correspondence between nearly parallel $\mathrm{G}_2$ structures and real Killing spinors, thus the deformation theory…

Differential Geometry · Mathematics 2022-08-30 Ragini Singhal

Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a…

High Energy Physics - Theory · Physics 2009-11-11 Bernard Julia , Jerome Levie , Sebastien Ray

Instantons on Eguchi-Hanson spaces provide explicit examples of stable bundles on non-compact four dimensional C^2/Z_n orbifold resolutions with non-Abelian structure groups. With this at hand, we can consider compactifications of ten…

High Energy Physics - Theory · Physics 2011-10-11 Stefan Groot Nibbelink , Filipe Paccetti Correia , Michele Trapletti

We deform classical holomorphic Chern--Simons theory on a Calabi--Yau three-fold $X$ by deforming the complex structure by a deformation parameter $h \in\mathscr{H}^{0,1}(T^{1,0}X)$. The corresponding equations of motion admit new…

High Energy Physics - Theory · Physics 2026-04-28 Eirik Høgmoe Kjelsnes , Eirik Eik Svanes , Vegard Undheim

We apply Kadanoff's theory of marginal deformations of conformal field theories to twistfield deformations of Z_2 orbifold models in K3 moduli space. These deformations lead away from the Z_2 orbifold sub-moduli-space and hence help to…

High Energy Physics - Theory · Physics 2009-11-07 H. Eberle

We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the…

High Energy Physics - Theory · Physics 2008-11-26 Shinsuke Kawai , Esko Keski-Vakkuri , Robert G. Leigh , Sean Nowling

We investigate the old problem of determining the exact bulk moduli of generic $\mathrm{SU}(3)$-structure flux backgrounds of type II string theory. Using techniques from generalised geometry, we show that the infinitesimal deformations are…

High Energy Physics - Theory · Physics 2024-09-09 George R. Smith , David Tennyson , Daniel Waldram

The non-perturbative corrections to the universal hypermultiplet moduli space metric in the type-IIA superstring compactification on a Calabi-Yau threefold are investigated in the presence of 4d, N=2 supergravity. These corrections come…

High Energy Physics - Theory · Physics 2010-11-19 Sergei V. Ketov

We analyse quantum obstructions to classical infinite distance limits in four-dimensional string compactifications with N=1 supersymmetry. Such quantum effects signal a severe departure from the perturbative effective action and can be of…

High Energy Physics - Theory · Physics 2026-04-27 Lukas Kaufmann , Jeroen Monnee , Timo Weigand , Max Wiesner

We study the problem of string propagation in a general instanton background for the case of the complete heterotic superstring. We define the concept of generalized HyperK\" ahler manifolds and we relate it to (4,4) superconformal…

High Energy Physics - Theory · Physics 2009-10-22 M. Billo' , P. Fre' , L. Girardello , A. Zaffaroni

We consider instanton effects in a non-supersymmetric gauge theory obtained by marginal deformations of the N=4 SYM. This gauge theory is expected to be dual to type IIB string theory on the AdS_5 times deformed-S^5 background. From an…

High Energy Physics - Theory · Physics 2009-11-11 Callum Durnford , George Georgiou , Valentin V. Khoze

We analyze a class of dual pairs of heterotic and type I models based on freely-acting $\mathbb{Z}_2 \times \mathbb{Z}_2$ orbifolds in four dimensions. Using the adiabatic argument, it is possible to calculate non-perturbative contributions…

High Energy Physics - Theory · Physics 2008-11-26 P. G. Camara , E. Dudas , T. Maillard , G. Pradisi

We study the $\alpha'$ corrections to self-dual gravitational instantons in the context of the four-dimensional Cano--Ruip\'erez action, which can be obtained by the compactification of the Bergshoeff--de Roo heterotic string effective…

High Energy Physics - Theory · Physics 2026-05-15 José Luis V. Cerdeira , Cristóbal Corral , Tomás Ortín

We describe semiuniversal deformation spaces for the noncompact surfaces $Z_k := \operatorname{Tot} (\mathcal O_{\mathbb P^1} (-k))$ and prove that any nontrivial deformation $Z_k (\tau)$ of $Z_k$ is affine. It is known that the moduli…

Algebraic Geometry · Mathematics 2019-09-24 Severin Barmeier , Elizabeth Gasparim
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