scholarly journals Higgs branches of 5d rank-zero theories from geometry

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Andrés Collinucci ◽  
Mario De Marco ◽  
Andrea Sangiovanni ◽  
Roberto Valandro
Keyword(s):  
Bound States ◽  
Open String ◽  
Gauge Groups ◽  
Rank Zero ◽  
M Theory

Abstract We study the Higgs branches of five-dimensional $$ \mathcal{N} $$ N = 1 rank-zero theories obtained from M-theory on two classes non-toric non-compact Calabi-Yau threefolds: Reid’s pagodas, and Laufer’s examples. Our approach consists in reducing to IIA with D6-branes and O6-planes, and computing the open-string spectra giving rise to hypermultiplets. Starting with the seven-dimensional worldvolume theories, we switch on T-brane backgrounds to give rise to bound states with angles. We observe that the resulting partially Higgsed 5d theories have discrete gauge groups, from which we readily deduce the geometry of the Higgs branches as orbifolds of quaternionic varieties.

scholarly journals M-theory and orientifolds

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Andreas P. Braun
Keyword(s):  
Building Blocks ◽  
Open String ◽  
Closed String ◽  
Connected Sum ◽  
M Theory

Abstract We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum G2 manifolds. Beautifully, the two building blocks forming the G2 manifold correspond to the open and closed string sectors. As an application, we show how to use such lifts to explicitly study open string moduli. Finally, we use our analysis to construct examples of G2 manifolds with different inequivalent TCS realizations.

scholarly journals Duality in Sp and SO gauge groups from M theory

1997 ◽  
Vol 415 (1) ◽  
pp. 31-38 ◽  
Author(s):  
Csaba Csáki ◽  
Witold Skiba
Keyword(s):  
Gauge Groups ◽  
M Theory

scholarly journals Genus zero Gopakumar-Vafa invariants from open strings

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Andrés Collinucci ◽  
Andrea Sangiovanni ◽  
Roberto Valandro
Keyword(s):  
String Theory ◽  
Open String ◽  
Genus Zero ◽  
Zero Modes ◽  
Open Strings ◽  
Crepant Resolutions ◽  
M Theory

Abstract We propose a new way to compute the genus zero Gopakumar-Vafa invariants for two families of non-toric non-compact Calabi-Yau threefolds that admit simple flops: Reid’s Pagodas, and Laufer’s examples. We exploit the duality between M-theory on these threefolds, and IIA string theory with D6-branes and O6-planes. From this perspective, the GV invariants are detected as five-dimensional open string zero modes. We propose a definition for genus zero GV invariants for threefolds that do not admit small crepant resolutions. We find that in most cases, non-geometric T-brane data is required in order to fully specify the invariants.

scholarly journals QUANTUM DESCRIPTION FOR THE DECAY OF NSNS BRANE–ANTIBRANE SYSTEMS

2004 ◽  
Vol 19 (28) ◽  
pp. 4861-4882
Author(s):  
HONGSU KIM
Keyword(s):  
Gauge Theory ◽  
Tachyon Condensation ◽  
Open String ◽  
Quantum Description ◽  
World Volume ◽  
Poor Understanding ◽  
String Dualities ◽  
Quantum Interpretation ◽  
M Theory

The stringy description for the instabilities in the RR charged [Formula: see text] pairs is now well understood in terms of the open string tachyon condensation. The quantum interpretation presumably via the stringy description for the instabilities in the NSNS-charged [Formula: see text] and [Formula: see text] pairs in IIA/IIB theories, however, has not been fully established yet. This would be partly because of the absence (for the [Formula: see text] case) or our relatively poor understanding (for the [Formula: see text] case) of their world-volume (gauge theory) dynamics. In the present work, using the well-known quantum description for instabilities in the RR-charged [Formula: see text] systems and in the M-theory brane–antibrane systems and invoking appropriate string dualities, the stringy nature of the instabilities in the NSNS-charged [Formula: see text] and [Formula: see text] systems both at strong and at weak couplings has been uncovered. For the annihilations to string vacua, the quantum, stringy interpretations are simple extensions of Sen's conjecture for those in RR-charged brane–antibrane systems.

scholarly journals Symmetry enhancements in 7d heterotic strings

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Bernardo Fraiman ◽  
Héctor Parra De Freitas
Keyword(s):  
Gauge Group ◽  
Moduli Space ◽  
Space Exploration ◽  
Heterotic String ◽  
Complete List ◽  
Rank Reduction ◽  
Gauge Groups ◽  
Heterotic Strings ◽  
M Theory ◽  
Global Data

Abstract We use a moduli space exploration algorithm to produce a complete list of maximally enhanced gauge groups that are realized in the heterotic string in 7d, encompassing the usual Narain component, and five other components with rank reduction realized via nontrivial holonomy triples. Using lattice embedding techniques we find an explicit match with the mechanism of singularity freezing in M-theory on K3. The complete global data for each gauge group is explicitly given.

scholarly journals Non-perturbative heterotic duals of M-theory on G2 orbifolds

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Bobby Samir Acharya ◽  
Alex Kinsella ◽  
David R. Morrison
Keyword(s):  
Heterotic String ◽  
Type I ◽  
Gauge Groups ◽  
M Theory ◽  
Degeneration Limit

Abstract By fibering the duality between the E8 × E8 heterotic string on T3 and M-theory on K3, we study heterotic duals of M-theory compactified on G2 orbifolds of the form T7/$$ {\mathbb{Z}}_2^3 $$ ℤ 2 3 . While the heterotic compactification space is straightforward, the description of the gauge bundle is subtle, involving the physics of point-like instantons on orbifold singularities. By comparing the gauge groups of the dual theories, we deduce behavior of a “half-G2” limit, which is the M-theory analog of the stable degeneration limit of F-theory. The heterotic backgrounds exhibit point-like instantons that are localized on pairs of orbifold loci, similar to the “gauge-locking” phenomenon seen in Hořava-Witten compactifications. In this way, the geometry of the G2 orbifold is translated to bundle data in the heterotic background. While the instanton configuration looks surprising from the perspective of the E8 × E8 heterotic string, it may be understood as T-dual Spin(32)/ℤ2 instantons along with winding shifts originating in a dual Type I compactification.

scholarly journals M-BRANE BOUND STATES AND THE SUPERSYMMETRY OF BPS SOLUTIONS IN THE BAGGER–LAMBERT THEORY

2009 ◽  
Vol 24 (31) ◽  
pp. 5779-5801 ◽  
Author(s):  
IMTAK JEON ◽  
JONGWOOK KIM ◽  
BUM-HOON LEE ◽  
JEONG-HYUCK PARK ◽  
NAKWOO KIM
Keyword(s):  
Gravity Waves ◽  
Bound States ◽  
Explicit Solutions ◽  
Central Extensions ◽  
Different Types ◽  
M Theory ◽  
Original Formula ◽  
Kaluza Klein ◽  
Multiple Intersections ◽  
Theory Interpretation

We continue our study of BPS equations and supersymmetric configurations in the Bagger–Lambert (BL) theory. The superalgebra allows three different types of central extensions which correspond to compounds of various M-theory objects: M2-branes, M5-branes, gravity waves and Kaluza–Klein monopoles which intersect or have overlaps with the M2-branes whose dynamics is given by the BL action. As elementary objects they are all 1/2-BPS, and multiple intersections of n-branes generically break the supersymmetry into 1/2n, as it is well known. But a particular composite of M-branes can preserve from 1/16 up to 3/4 of the original [Formula: see text] supersymmetries as previously discovered. In this paper we provide the M-theory interpretation for various BPS equations, and also present explicit solutions to some 1/2-BPS equations.

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