scholarly journals Higgs bundles for M-theory on G2-manifolds

2019 ◽  
Vol 2019 (3) ◽  
Author(s):  
Andreas P. Braun ◽  
Sebastjan Cizel ◽  
Max Hübner ◽  
Sakura Schäfer-Nameki
Keyword(s):  
Higgs Bundles ◽  
G2 Manifolds ◽  
M Theory

scholarly journals Local G2-manifolds, Higgs bundles and a colored quantum mechanics

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Max Hübner
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theories ◽  
Supersymmetric Quantum Mechanics ◽  
Higgs Bundle ◽  
Higgs Bundles ◽  
View Point ◽  
Yang Mills ◽  
G2 Manifolds ◽  
Supersymmetric Gauge ◽  
M Theory

Abstract M-theory on local G2-manifolds engineers 4d minimally supersymmetric gauge theories. We consider ALE-fibered G2-manifolds and study the 4d physics from the view point of a partially twisted 7d supersymmetric Yang-Mills theory and its Higgs bundle. Euclidean M2-brane instantons descend to non-perturbative effects of the 7d supersymmetric Yang-Mills theory, which are found to be in one to one correspondence with the instantons of a colored supersymmetric quantum mechanics. We compute the contributions of M2-brane instantons to the 4d superpotential in the effective 7d description via localization in the colored quantum mechanics. Further we consider non-split Higgs bundles and analyze their 4d spectrum.

scholarly journals Non-perturbative vacua for M-theory on G2 manifolds

2004 ◽  
Vol 2004 (12) ◽  
pp. 018-018 ◽  
Author(s):  
Beatriz de Carlos ◽  
Andre Lukas ◽  
Stephen Morris
Keyword(s):  
G2 Manifolds ◽  
M Theory

scholarly journals On TCS G2 manifolds and 4D emergent strings

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Fengjun Xu
Keyword(s):  
Moduli Space ◽  
Quantum Corrections ◽  
Type Ii ◽  
Quantum Level ◽  
Weakly Coupled ◽  
G2 Manifolds ◽  
Fundamental Type ◽  
M Theory ◽  
Distance Limit ◽  
Refined Version

Abstract In this note, we study the Swampland Distance Conjecture in TCS G2 manifold compactifications of M-theory. In particular, we are interested in testing a refined version — the Emergent String Conjecture, in settings with 4d N = 1 supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the K3-fiber in a TCS G2 manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conjecture. The tensionless string, however, receives quantum corrections. We check that these quantum corrections do modify the volume of the shrinking K3-fiber via string duality and hence make the string regain a non-vanishing tension at the quantum level, leading to a decompactification. Geometrically, the quantum corrections modify the metric of the classical moduli space and are expected to obstruct the infinite distance limit. We also comment on another possible type of infinite distance limit in TCS G2 compactifications, which might lead to a weakly coupled fundamental type II string theory.

scholarly journals Infinitely many M2-instanton corrections to M-theory on G2-manifolds

2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Andreas P. Braun ◽  
Michele Del Zotto ◽  
James Halverson ◽  
Magdalena Larfors ◽  
David R. Morrison ◽  
...  
Keyword(s):  
G2 Manifolds ◽  
M Theory

scholarly journals M-theory and G2 manifolds

2015 ◽  
Vol 90 (11) ◽  
pp. 118004 ◽  
Author(s):  
Katrin Becker ◽  
Melanie Becker ◽  
Daniel Robbins
Keyword(s):  
G2 Manifolds ◽  
M Theory

scholarly journals Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes

2005 ◽  
Vol 2005 (10) ◽  
pp. 103-103 ◽  
Author(s):  
Gianguido Dall'Agata ◽  
Nikolaos Prezas
Keyword(s):  
G2 Manifolds ◽  
M Theory

scholarly journals Anomalies in M-theory on singular G2-manifolds

2003 ◽  
Vol 672 (1-2) ◽  
pp. 239-263 ◽  
Author(s):  
Adel Bilal ◽  
Steffen Metzger
Keyword(s):  
G2 Manifolds ◽  
M Theory

scholarly journals Phases of supersymmetric gauge theories from M-theory on G2 manifolds

2001 ◽  
Vol 2001 (05) ◽  
pp. 058-058 ◽  
Author(s):  
Peter Kaste ◽  
Hervé Partouche ◽  
Alexandros Kehagias
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
G2 Manifolds ◽  
Supersymmetric Gauge ◽  
M Theory

scholarly journals MODULI SPACES OF G2 MANIFOLDS

2010 ◽  
Vol 22 (09) ◽  
pp. 1061-1097 ◽  
Author(s):  
SERGEY GRIGORIAN
Keyword(s):  
Moduli Spaces ◽  
Deformation Theory ◽  
Holonomy Group ◽  
Local Deformation ◽  
Local Geometry ◽  
G2 Manifolds ◽  
Exceptional Holonomy ◽  
M Theory ◽  
Vacuum Solutions ◽  
Calabi Yau Manifolds

This paper is a review of current developments in the study of moduli spaces of G2 manifolds. G2 manifolds are seven-dimensional manifolds with the exceptional holonomy group G2. Although they are odd-dimensional, in many ways they can be considered as an analogue of Calabi–Yau manifolds in seven dimensions. They play an important role in physics as natural candidates for supersymmetric vacuum solutions of M-theory compactifications. Despite the physical motivation, many of the results are of purely mathematical interest. Here we cover the basics of G2 manifolds, local deformation theory of G2 structures and the local geometry of the moduli spaces of G2 structures.

scholarly journals MQCD, ("BARELY") G2 MANIFOLDS AND (ORIENTIFOLD OF) A COMPACT CALABI–YAU

2005 ◽  
Vol 20 (10) ◽  
pp. 2059-2097 ◽  
Author(s):  
AALOK MISRA
Keyword(s):  
Domain Wall ◽  
Path Integral ◽  
Riemann Surfaces ◽  
Blow Up ◽  
The Other ◽  
Integral Approach ◽  
Indirect Connection ◽  
Complex Constant ◽  
G2 Manifolds ◽  
M Theory

We begin with a discussion on two apparently disconnected topics — one related to nonperturbative superpotential generated from wrapping an M2-brane around a supersymmetric three cycle embedded in a G2-manifold evaluated by the path-integral inside a path-integral approach of Ref. 1, and the other centered around the compact Calabi–Yau CY3(3, 243) expressed as a blow-up of a degree-24 Fermat hypersurface in WCP4[1, 1, 2, 8, 12]. For the former, we compare the results with the ones of Witten on heterotic worldsheet instantons.2 The subtopics covered in the latter include an 𝒩=1 triality between Heterotic, M- and F-theories, evaluation of RP2-instanton superpotential, Picard–Fuchs equation for the mirror Landau–Ginzburg model corresponding to CY3(3, 243), D = 11 supergravity corresponding to M-theory compactified on a "barely" G2 manifold involving CY3(3, 243) and a conjecture related to the action of antiholomorphic involution on period integrals. We then shown an indirect connection between the two topics by showing a connection between each one of the two and Witten's MQCD.3 As an aside, we show that in the limit of vanishing "ζ", a complex constant that appears in the Riemann surfaces relevant to defining the boundary conditions for the domain wall in MQCD, the infinite series of Ref. 4 used to represent a suitable embedding of a supersymmetric 3-cycle in a G2-mannifold, can be summed.

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