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The properties of a class of quasi-realistic three-family perturbative heterotic string vacua are addressed. String models in this class generically contain an anomalous U(1), such that the nonzero Fayet-Iliopoulos term triggers certain…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lisa Everett

A new class of plurisubharmonic functions on the octonionic plane O^2= R^{16} is introduced. An octonionic version of theorems of A.D. Aleksandrov and Chern- Levine-Nirenberg, and Blocki are proved. These results are used to construct new…

Metric Geometry · Mathematics 2016-07-27 Semyon Alesker

Models of 4D $\mathcal{N}=1$ supergravity coupled to chiral multiplets with vanishing or positive scalar potential have been denoted as no-scale. Of particular interest in the context of string theory are models which additionally possess a…

High Energy Physics - Theory · Physics 2016-01-27 David Ciupke , Lucila Zarate

We describe generalizations of the manifestly E_{6(6)} covariant formulation of five-dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group-theoretical structures that…

High Energy Physics - Theory · Physics 2015-06-26 Bernard de Wit , Henning Samtleben

In this work there are proposed several new 6D brane worlds based on exact topological solutions to the vortex equations for the Abelian Higgs model, with suitable boundary conditions and symmetry breaking potentials similar to the mexican…

High Energy Physics - Theory · Physics 2010-02-22 Rafael Torrealba

We derive the five-dimensional effective action of strongly coupled heterotic string theory for the complete (1,1) sector of the theory by performing a reduction, on a Calabi-Yau three-fold, of M-theory on S^1/Z_2. A crucial ingredient for…

High Energy Physics - Theory · Physics 2016-09-06 Andre Lukas , Burt A. Ovrut , K. S. Stelle , Daniel Waldram

The eigenvalue problem for 3x3 octonionic Hermitian matrices contains some surprises, which we have reported elsewhere. In particular, the eigenvalues need not be real, there are 6 rather than 3 real eigenvalues, and the corresponding…

Rings and Algebras · Mathematics 2009-10-31 Tevian Dray , Corinne A. Manogue

We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in…

High Energy Physics - Theory · Physics 2010-02-04 Jonas Schmidt

This paper presents a worldsheet theory describing holomorphic maps to twistor space with N fermionic directions. The theory is anomaly free when N=8. Via the Penrose transform, the vertex operators correspond to an N=8 Einstein…

High Energy Physics - Theory · Physics 2013-01-08 David Skinner

We study the possibility of using the D-term associated to an anomalous U(1) for the uplifting of AdS vacua (to dS or Minkowski vacua) in effective supergravities arising from string theories, particularly in the type IIB context put…

High Energy Physics - Theory · Physics 2009-11-11 A. Achucarro , B. de Carlos , J. A. Casas , L. Doplicher

Based on special geometry, we consider corrections to N=2 extremal black-hole solutions and their entropies originating from higher-order derivative terms in N=2 supergravity. These corrections are described by a holomorphic function, and…

High Energy Physics - Theory · Physics 2008-11-26 Klaus Behrndt , Gabriel Lopes Cardoso , Bernard de Wit , Dieter Lüst , Thomas Mohaupt , Wafic A. Sabra

Quarks and leptons charges and interactions are derived from gauge theories associated with symmetries. Their space-time labels come from representations of the non-compact algebra of Special Relativity. Common to these descriptions are the…

High Energy Physics - Theory · Physics 2007-05-23 Pierre Ramond

We study the relationship between cartesian bicategories and a specialisation of Lawvere's hyperdoctrines, namely elementary existential doctrines. Both provide different ways of abstracting the structural properties of logical systems: the…

Logic in Computer Science · Computer Science 2021-11-09 Filippo Bonchi , Alessio Santamaria , Jens Seeber , Paweł Sobociński

We present the simplest, string-derivable, supergravity model and discuss its experimental consequences. This model is a new string-inspired flipped $SU(5)$ which unifies at the string scale $M_U=10^{18}\GeV$ due to the introduction of an…

High Energy Physics - Phenomenology · Physics 2009-08-25 J. Lopez , D. Nanopoulos , A. Zichichi

We give a unified description of D = 3 super-Yang-Mills theory with N = 1, 2, 4, and 8 supersymmeties in terms of the four division algebras: reals (R), complexes (C), quaternions (H) and octonions (O). Tensoring left and right…

High Energy Physics - Theory · Physics 2015-01-08 L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

Twisted supergravity is supergravity in a background where the bosonic ghost field takes a non-zero value. This is the supergravity counterpart of the familiar concept of twisting supersymmetric field theories. In this paper, we give…

High Energy Physics - Theory · Physics 2016-06-02 Kevin Costello , Si Li

This article reviews the non-perturbative structure of certain higher derivative terms in the type II string theory effective action and their connection to one-loop effects in eleven-dimensional supergravity compactified on a torus. New…

High Energy Physics - Theory · Physics 2009-10-30 Michael B. Green

We consider the Calabi-Yau reduction of the Type IIA eight derivative one-loop stringy corrections focusing on the couplings of the four dimensional gravity multiplet with vector multiplets and a tensor multiplet containing the NS two-form.…

High Energy Physics - Theory · Physics 2015-06-17 Stefanos Katmadas , Ruben Minasian

We extend our previous classification of superpotentials of ``scalar curvature type" for the cohomogeneity one Ricci-flat equations. We now consider the case not covered in our previous paper, i.e., when some weight vector of the…

Differential Geometry · Mathematics 2009-11-13 Andrew Dancer , Mckenzie Wang

We review some applications of tree-level (classical) relations between gravity and gauge theory that follow from string theory. Together with $D$-dimensional unitarity, these relations can be used to perturbatively quantize gravity…

High Energy Physics - Theory · Physics 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , A. K. Grant , M. Perelstein , J. S. Rozowsky