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We construct supersymmetric AdS_3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N=(0,4) superconformal field theories with small superconformal algebra. In F-theory…

High Energy Physics - Theory · Physics 2017-09-13 Christopher Couzens , Craig Lawrie , Dario Martelli , Sakura Schafer-Nameki , Jin-Mann Wong

We demonstrate a classical equivalence between the large-N limit of the Higgsed N=1* SUSY U(N) Yang-Mills theory and the Maldacena-Nunez twisted compactification of a six dimensional gauge theory on a two-sphere. A direct comparison of the…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Andrews , N. Dorey

We propose and prove a new exact duality between the F-terms of supersymmetric gauge theories in five and three dimensions with adjoint matter fields. The theories are compactified on a circle and are subject to the Omega deformation. In…

High Energy Physics - Theory · Physics 2016-02-25 Heng-Yu Chen , Timothy J. Hollowood , Peng Zhao

In this note we compare the moduli spaces of the heterotic string compactified on a two-torus and F-Theory compactified on an elliptic K3 surface for the case of an unbroken E8 x E8 gauge group. The explicit map relating the deformation…

High Energy Physics - Theory · Physics 2009-10-07 Gabriel Lopes Cardoso , Gottfried Curio , Dieter Lust , Thomas Mohaupt

We present the study of type II A flux vacua and their M-theory duals for compactification on a class of Calabi-Yau orientifolds. The Kaehler potential is derived from toroidal compactifications and the superpotential contains a…

High Energy Physics - Theory · Physics 2009-06-19 Giuseppe Milanesi , Roberto Valandro

In recent work, we conjectured that Calabi-Yau threefolds defined over $\mathbb{Q}$ and admitting a supersymmetric flux compactification are modular, and associated to (the Tate twists of) weight-two cuspidal Hecke eigenforms. In this work,…

High Energy Physics - Theory · Physics 2020-10-20 Shamit Kachru , Richard Nally , Wenzhe Yang

We argue that the following three statements cannot all be true: (i) our vacuum is a type IIB / F-theory vacuum at moderate-to-large $h^{1,1}$, (ii) the $\alpha'$-expansion is controlled via the supergravity approximation, \`a la the KKLT…

High Energy Physics - Theory · Physics 2020-07-15 Mirjam Cvetic , James Halverson , Ling Lin , Cody Long

Despite much recent progress in model building with D-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering F-theory compactifications, which…

High Energy Physics - Theory · Physics 2012-04-04 Ron Donagi , Martijn Wijnholt

We study field theories in the limit that a compactified dimension becomes lightlike. In almost all cases the amplitudes at each order of perturbation theory diverge in the limit, due to strong interactions among the longitudinal zero…

High Energy Physics - Theory · Physics 2009-10-09 Simeon Hellerman , Joseph Polchinski

We present evidence that the CHL string in eight dimensions is dual to F-theory compactified on an elliptic K3 with a $\Gamma_{0}(2)$ monodromy group. The monodromy group $\Gamma_{0}(2)$ allows one to turn on the flux of an antisymmetric…

High Energy Physics - Theory · Physics 2007-05-23 Michael Bershadsky , Tony Pantev , Vladimir Sadov

We study $6$d $\mathcal{N} = (1,0)$ supergravity theories arising in the frozen phase of F-theory. For each of the known global models, we construct an F-theory compactification in the unfrozen phase with an identical non-abelian gauge…

High Energy Physics - Theory · Physics 2024-03-12 David R. Morrison , Benjamin Sung

In this thesis, we consider heterotic string vacua based on a warped product of a four-dimensional domain wall and a six-dimensional internal manifold preserving only two supercharges. Thus, they correspond to half-BPS states of heterotic…

High Energy Physics - Theory · Physics 2012-04-17 Cyril Matti

We construct a sheaf-theoretic analogue of the wrapped Fukaya category in Lagrangian Floer theory, by localizing a category of sheaves microsupported away from some given $\Lambda \subset S^*M$ along continuation maps constructed using the…

Symplectic Geometry · Mathematics 2023-04-11 Christopher Kuo

F-theory is one of the frameworks where all the Yukawa couplings of grand unified theories are generated and their computation is possible. The Yukawa couplings of charged matter multiplets are supposed to be generated around codimension-3…

High Energy Physics - Theory · Physics 2015-05-13 Hirotaka Hayashi , Teruhiko Kawano , Radu Tatar , Taizan Watari

The discrete tensorial charges carried by orientifold planes define n-gerbes in space-time. The simplest way to ensure a consistent string compactification is to require these gerbes to be flat. This results in expressions for the local…

High Energy Physics - Theory · Physics 2010-02-03 Arjan Keurentjes

We consider a class of 3d theories with a $\mathbb Z_n$ magnetic symmetry in which confinement is generated by charge $n$ clusters of monopoles. Such theories naturally arise in quantum antiferromagnets in 2+1, QCD-like theories on $\mathbb…

High Energy Physics - Theory · Physics 2024-12-20 Mendel Nguyen , Mithat Ünsal

An orientifold of Type-IIB theory on a $K3$ realized as a $Z_2$ orbifold is constructed which corresponds to F-theory compactification on a Calabi-Yau orbifold with Hodge numbers $(51, 3)$. The T-dual of this model is analogous to an…

High Energy Physics - Theory · Physics 2009-10-30 Atish Dabholkar , Jaemo Park

We explore novel gauge enhancements from abelian to non-simply-connected gauge groups in F-theory. To this end we consider complex structure deformations of elliptic fibrations with a Mordell--Weil group of rank one and identify the…

High Energy Physics - Theory · Physics 2018-04-04 Florent Baume , Mirjam Cvetic , Craig Lawrie , Ling Lin

We examine the vacuum structure of 4D effective theories of moduli fields in spacetime compactifications with quantized background fluxes. Imposing the no-scale structure for the volume deformations, we numerically investigate the…

High Energy Physics - Theory · Physics 2020-04-01 Yoshinori Honma , Hajime Otsuka

The ultra-violet behavior of Kaluza-Klein theories on a one dimensional orbifold is discussed. An extension of dimensional regularization that can be applied to a compact dimension is presented. Using this, the FI-tadpole is calculated in…

High Energy Physics - Theory · Physics 2007-05-23 S. Groot Nibbelink