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We determine the maximal gauge groups arising in $E_8$ heterotic string theory on $T^2$. Our analysis proceeds along two approaches. First, we start the moduli space of the supersymmetric heterotic string theory on $T^2$ focusing on points…

High Energy Physics - Theory · Physics 2025-08-12 Yuta Hamada , Arata Ishige , Yuichi Koga

We study heterotic $E_8\times E_8$ models that are dual to compactifications of F-theory and type IIA string on certain classes of elliptically fibered Calabi-Yau manifolds. Different choices for the specific torus in the fibration have…

High Energy Physics - Theory · Physics 2009-10-09 G. Aldazabal , A. Font , L. E. Ibanez , A. M. Uranga

The arcane ADHM construction of Yang-Mills instantons can be very naturally understood in the framework of D-brane dynamics in string theory. In this point-of-view, the mysterious auxiliary symmetry of the ADHM construction arises as a…

High Energy Physics - Theory · Physics 2007-05-23 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze

We consider the gauge neutral matter in the low--energy effective action for string theory compactification on a \cym\ with $(2,2)$ world--sheet supersymmetry. At the classical level these states (the \sing's of $E_6$) correspond to the…

High Energy Physics - Theory · Physics 2008-11-26 P. Berglund , P. Candelas , X. de la Ossa , E. Derrick , J. Distler , T. Hubsch

Last week, A. Sen found an explicit type I string compactification dual to the eight-dimensional F-theory construction with SO(8)^4 nonabelian gauge symmetry. He found that the perturbations around the enhanced symmetry point were described…

High Energy Physics - Theory · Physics 2009-09-15 Tom Banks , Michael R. Douglas , Nathan Seiberg

We discuss the 5d AGT correspondence of supergroup gauge theories with A-type supergroups. We introduce two intertwiners called positive and negative intertwiners to compute the instanton partition function. The positive intertwiner is the…

High Energy Physics - Theory · Physics 2023-01-03 Go Noshita

I discuss two types of non-supersymmetric string model constructions that give at low energy exactly the Standard model (SM) with no additional matter/and or gauge group factors. The construction is based on D6 branes intersecting at angles…

High Energy Physics - Theory · Physics 2017-08-23 Christos Kokorelis

In this paper we study the 6d localized charged matter spectrum of F-theory directly on a singular elliptic Calabi-Yau 3-fold, i.e. without smoothing via resolution or deformation of the entire fibration. Given only the base surface,…

High Energy Physics - Theory · Physics 2022-09-07 Antonella Grassi , James Halverson , Cody Long , Julius L. Shaneson , Benjamin Sung , Jiahua Tian

We classify the class $S$ theories of type $E_7$. These are four-dimensional $\mathcal{N}=2$ superconformal field theories arising from the compactification of the $E_7$ $(2,0)$ theory on a punctured Riemann surface, $C$. The classification…

High Energy Physics - Theory · Physics 2018-10-04 Oscar Chacaltana , Jacques Distler , Anderson Trimm , Yinan Zhu

In a toroidal orbifold of type IIB string theory we study instanton effects in N=2 super Yang-Mills theories engineered with systems of wrapped magnetized D9 branes and Euclidean D5 branes. We analyze the various open string sectors in this…

High Energy Physics - Theory · Physics 2009-06-11 Marco Billo , Marialuisa Frau , Igor Pesando , Paolo Di Vecchia , Alberto Lerda , Raffaele Marotta

We construct an octonionic instanton solution to the seven dimensional Yang-Mills theory based on the exceptional gauge group $G_2$ which is the automorphism group of the division algebra of octonions. This octonionic instanton has an…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Hermann Nicolai

We clarify certain aspects and discuss extensions of the recently introduced string D-instanton calculus (hep-th/0609191). The one-loop determinants are related to one-loop open string threshold corrections in intersecting D6-brane models.…

High Energy Physics - Theory · Physics 2009-10-07 Nikolas Akerblom , Ralph Blumenhagen , Dieter Lust , Maximilian Schmidt-Sommerfeld

D-instantons are used to probe the near-horizon geometry of D3-branes systems on orbifold spaces. For fractional D3-branes, D-instanton calculus correctly reproduces the gauge beta-function and U(1)_R anomaly of the corresponding N=2…

High Energy Physics - Theory · Physics 2015-06-26 Alessandro Tanzini

We analyse the STU sectors of the four-dimensional maximal gauged supergravities with gauge groups ${\rm SO(8)}$, ${\rm SO(6)}\ltimes\mathbb{R}^{12}$ and $[{\rm SO(6)}\times{\rm SO(2)}]\ltimes\mathbb{R}^{12}$, and construct new domain-wall…

High Energy Physics - Theory · Physics 2024-03-06 Gabriel Larios , Christopher N. Pope , Haoyu Zhang

We introduce and study a surface defect in four dimensional gauge theories supporting nested instantons with respect to the parabolic reduction of the gauge group at the defect. This is engineered from a D3/D7-branes system on a non compact…

High Energy Physics - Theory · Physics 2019-07-08 Giulio Bonelli , Nadir Fasola , Alessandro Tanzini

We give the exact construction of Riemannian (or stringy) instantons, which are classical solutions of 2d Yang-Mills theories that interpolate between initial and final string configurations. They satisfy the Hitchin equations with special…

High Energy Physics - Theory · Physics 2008-11-26 L. Bonora , C. P. Constantinidis , L. A. Ferreira , E. E. Leite

The map between the moduli space of F-theory (or type II string) compactifications and heterotic string compactifications can be considerably simplified by using "stable degenerations". We discuss how this method applies to both the E8 x E8…

High Energy Physics - Theory · Physics 2009-10-30 Paul S. Aspinwall , David R. Morrison

We classify bions in the Grassmann $Gr_{N_{\rm F},N_{\rm C}}$ sigma model (including the ${\mathbb C}P^{N_{\rm F}-1}$ model) on ${\mathbb R}^{1}\times S^{1}$ with twisted boundary conditions. We formulate these models as $U(N_{\rm C})$…

High Energy Physics - Theory · Physics 2015-03-12 Tatsuhiro Misumi , Muneto Nitta , Norisuke Sakai

We study the four-dimensional superconformal N=2 gauge theories engineered by the Type IIB superstring on Arnold's 14 exceptional unimodal singularities (a.k.a. Arnold's strange duality list), thus extending the methods of 1006.3435 to…

High Energy Physics - Theory · Physics 2015-05-30 Sergio Cecotti , Michele Del Zotto

We discuss compactifications of rank $Q$ E-string theory on a torus with fluxes for abelian subgroups of the $E_8$ global symmetry of the $6d$ SCFT. We argue that the theories corresponding to such tori are built from a simple model we…

High Energy Physics - Theory · Physics 2020-01-29 Sara Pasquetti , Shlomo S. Razamat , Matteo Sacchi , Gabi Zafrir