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To give more credence to the M-theoretic Emergence Proposal it is important to show that also classical kinetic terms in a low energy effective action arise as a quantum effect from integrating out light towers of states. We show that for…

High Energy Physics - Theory · Physics 2025-10-01 Ralph Blumenhagen , Aleksandar Gligovic

We introduce a new heterotic Standard Model which has precisely the spectrum of the Minimal Supersymmetric Standard Model (MSSM), with no exotic matter. The observable sector has gauge group SU(3) x SU(2) x U(1). Our model is obtained from…

High Energy Physics - Theory · Physics 2008-11-26 Vincent Bouchard , Ron Donagi

We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar fields. The latter are known to modify the Weak…

High Energy Physics - Theory · Physics 2018-12-26 Seung-Joo Lee , Wolfgang Lerche , Timo Weigand

We show that modularity and the gap condition make the holomorphic anomaly equation completely integrable for non-compact Calabi-Yau manifolds. This leads to a very efficient formalism to solve the topological string on these geometries in…

High Energy Physics - Theory · Physics 2011-07-19 Babak Haghighat , Albrecht Klemm , Marco Rauch

We present the most complete list of mirror pairs of Calabi-Yau complete intersections in toric ambient varieties and develop the methods to solve the topological string and to calculate higher genus amplitudes on these compact Calabi-Yau…

High Energy Physics - Theory · Physics 2009-11-10 A. Klemm , M. Kreuzer , E. Riegler , E. Scheidegger

We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using W-algebra symmetries which encodes the symmetries of holomorphic diffeomorphisms of the Calabi-Yau. In the highly…

High Energy Physics - Theory · Physics 2015-06-26 Mina Aganagic , Robbert Dijkgraaf , Albrecht Klemm , Marcos Marino , Cumrun Vafa

We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N=4 supersymmetry. To this end, we derive the low-energy effective action for…

High Energy Physics - Theory · Physics 2015-06-12 Amir-Kian Kashani-Poor , Ruben Minasian , Hagen Triendl

The condition of having an $N=1$ spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 dimensions. Compactifications to 6 and 4 dimensions have been…

High Energy Physics - Theory · Physics 2010-11-01 S. L. Shatashvili , C. Vafa

We discuss the vacuum structure of type IIA/B Calabi-Yau string compactifications to four dimensions in the presence of n-form H-fluxes. These will lift the vacuum degeneracy in the Calabi-Yau moduli space, and for generic points in the…

High Energy Physics - Theory · Physics 2010-12-03 G. Curio , A. Klemm , D. Luest , S. Theisen

A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string…

High Energy Physics - Theory · Physics 2021-12-21 Thomas W. Grimm

The compactification from the 11-dimensional Horava-Witten orbifold to 5-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific $SU(4)$ vector bundle leading to the "heterotic standard model" in the…

High Energy Physics - Theory · Physics 2020-02-17 Burt A. Ovrut

In this paper we analyze the structure of supersymmetric vacua in compactifications of the heterotic string on certain manifolds with SU(3) structure. We first study the effective theories obtained from compactifications on half-flat…

High Energy Physics - Theory · Physics 2010-12-03 Beatriz de Carlos , Sebastien Gurrieri , Andre Lukas , Andrei Micu

We present solutions of the holomorphic anomaly equations for compact two-parameter Calabi-Yau manifolds which are hypersurfaces in weighted projective space. In particular we focus on K3-fibrations where due to heterotic type II duality…

High Energy Physics - Theory · Physics 2010-01-22 Babak Haghighat , Albrecht Klemm

Supersymmetric heterotic string models, built from a stable holomorphic vector bundle $V$ on a Calabi-Yau threefold $X$, usually come with many vector bundle moduli whose stabilisation is a difficult and complex task. It is therefore of…

High Energy Physics - Theory · Physics 2015-06-03 Gottfried Curio

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the…

High Energy Physics - Theory · Physics 2009-11-11 Martin Rocek , Cumrun Vafa , Stefan Vandoren

We propose a scenario to stabilize all geometric moduli - that is, the complex structure, Kahler moduli and the dilaton - in smooth heterotic Calabi-Yau compactifications without Neveu-Schwarz three-form flux. This is accomplished using the…

High Energy Physics - Theory · Physics 2011-06-08 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

We study topological gauge theories with N=(2,0) supersymmetry based on stable bundles on general Kahler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual…

High Energy Physics - Theory · Physics 2011-07-19 Christiaan Hofman , Jae-Suk Park

Open topological string amplitudes on compact Calabi-Yau threefolds are shown to satisfy an extension of the holomorphic anomaly equation of Bershadsky, Cecotti, Ooguri and Vafa. The total topological charge of the D-brane configuration…

High Energy Physics - Theory · Physics 2010-04-05 Johannes Walcher

We briefly review an algorithmic strategy to explore the landscape of heterotic E8 \times E8 vacua, in the context of compactifying smooth Calabi-Yau three-folds with vector bundles. The Calabi-Yau three-folds are algebraically realised as…

High Energy Physics - Theory · Physics 2011-05-18 Seung-Joo Lee

We construct a fully interacting holomorphic/topological theory in eleven dimensions that is defined on products of Calabi-Yau fivefolds with real one-manifolds. The theory describes a particular deformation of the cotangent bundle to the…

Mathematical Physics · Physics 2023-07-26 Surya Raghavendran , Ingmar Saberi , Brian R. Williams