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Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their associated modular…

Quantum Algebra · Mathematics 2009-04-14 Robert Coquereaux , Gil Schieber

We study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on…

High Energy Physics - Theory · Physics 2015-06-03 Thomas W. Grimm , Hirotaka Hayashi

Applying string dualities to F-theory, we obtain various $[p,q]$-branes whose constituents are standard branes of codimension two and exotic branes. We construct junctions of the exotic five-branes and their Hanany-Witten transitions…

High Energy Physics - Theory · Physics 2016-05-13 Tetsuji Kimura

We present a prescription in F-theory for realizing matter in "exotic" representations of product gauge groups. For 6D vacua, bifundamental hypermultiplets are engineered by starting at a singular point in moduli space which includes 6D…

High Energy Physics - Theory · Physics 2018-11-14 Mirjam Cvetič , Jonathan J. Heckman , Ling Lin

We initiate the systematic investigation of non-flat resolutions of non-minimal singularities in elliptically fibered Calabi--Yau threefolds. Compactification of M-theory on these geometries provides an alternative approach to studying…

High Energy Physics - Theory · Physics 2019-06-26 Fabio Apruzzi , Ling Lin , Christoph Mayrhofer

We consider compactifications of the N=1, d=6, E_8 theory on tori to five, four, and three dimensions and learn about some properties of this theory. As a by-product we derive the SL(2,\IZ) duality of the N=2, d=4, SU(2) theory with N_f=4.…

High Energy Physics - Theory · Physics 2009-09-15 Ori J. Ganor , David R. Morrison , Nathan Seiberg

The perturbative $\alpha^{\prime}$ corrections to Type-IIA String Theory compactified on a Calabi-Yau three-fold allow the construction of regular three-charge supersymmetric black holes in four dimensions, whose entropy scales with the…

High Energy Physics - Theory · Physics 2015-06-22 Iosif Bena , C. S. Shahbazi

Lower-dimensional (hyper)surfaces that can carry gauge or gauge/gravitational anomalies occur in many areas of physics: one-plus-one-dimensional boundaries or two-dimensional defect surfaces in condensed matter systems, four-dimensional…

High Energy Physics - Theory · Physics 2016-11-23 Adel Bilal

We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and…

High Energy Physics - Theory · Physics 2010-04-07 S. Gukov , C. Vafa , E. Witten

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 study, as hypersurfaces in toric varieties, elliptic Calabi-Yau fourfolds for F-theory compactifications dual to E8xE8 heterotic strings compactified to four dimensions on elliptic Calabi-Yau threefolds with some choice of vector bundle.…

High Energy Physics - Theory · Physics 2009-10-31 Govindan Rajesh

Compactifications of M-theory on singular manifolds contain additional charged massless states descending from M-branes wrapped on vanishing cycles. We construct the first explicit example of a complete supergravity Lagrangian that includes…

High Energy Physics - Theory · Physics 2010-11-19 Thomas Mohaupt , Marco Zagermann

We discuss five-dimensional supersymmetric gauge theories. An anomaly renders some theories inconsistent and others consistent only upon including a Wess-Zumino type Chern-Simons term. We discuss some necessary conditions for existence of…

High Energy Physics - Theory · Physics 2009-09-15 K. Intriligator , D. R. Morrison , N. Seiberg

We derive general equations which determine the decomposition of the G^{+++} multiplet of brane charges into the sub-algebras that arise when the non-linearly realised G^{+++} theory is dimensionally reduced on a torus. We apply this to…

High Energy Physics - Theory · Physics 2008-11-26 P. West

We consider phenomenological aspects of a natural class of Standard Model-like supersymmetric F-theory vacua realized through flux breaking of rigid $E_7$ gauge factors. Three generations of Standard Model matter are realized in many of…

High Energy Physics - Theory · Physics 2024-06-04 Shing Yan Li , Washington Taylor

We investigate gauge theories and matter contents in F-theory compactifications on families of genus-one fibered Calabi-Yau 4-folds lacking a global section. To construct families of genus-one fibered Calabi-Yau 4-folds that lack a global…

High Energy Physics - Theory · Physics 2019-05-07 Yusuke Kimura

Five dimensional super conformal field theories can be studied using their geometric realisation as a limit of $M$-theory on a metrically conical Calabi-Yau threefold. We utilise this framework to investigate the phases of such theories…

High Energy Physics - Theory · Physics 2024-07-04 Bobby Samir Acharya

We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading N=1 scalar potential on the infinite deformation space of the brane-curve…

High Energy Physics - Theory · Physics 2015-03-17 Thomas W. Grimm , Albrecht Klemm , Denis Klevers

We explore the gauge coupling relations and the unification scale in F-theory SU(5) GUT broken down to the Standard Model by an internal U(1)Y gauge flux. We consider variants with exotic matter representations which may appear in these…

High Energy Physics - Phenomenology · Physics 2010-07-06 G. K. Leontaris , N. D. Tracas

Gauge theories in four dimensions can exhibit interesting low energy phenomena, such as infrared enhancements of global symmetry. We explore a class of 4d N=1 gauge theories arising from a construction that is motivated by duality walls in…

High Energy Physics - Theory · Physics 2020-07-15 Ivan Garozzo , Noppadol Mekareeya , Matteo Sacchi , Gabi Zafrir