scholarly journals A worldsheet perspective on heterotic T-duality orbifolds

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Stefan Groot Nibbelink
Keyword(s):  
Target Space ◽  
Strong Constraint ◽  
Double Field Theory ◽  
Higher Dimensional ◽  
Covariant Description ◽  
Gauge Fixing ◽  
Space Coordinate ◽  
Heterotic Orbifolds ◽  
Generalized Metrics ◽  
Invariant Gauge

Abstract Asymmetric heterotic orbifolds are discussed from the worldsheet perspective. Starting from Buscher’s gauging of a theory of D compact bosons the duality covariant description of Tseytlin is obtained after a non-Lorentz invariant gauge fixing. A left-over of the gauge symmetry can be used to removed the doubled constant zero modes so that D physical target space coordinate remain. This can be thought of as the worldsheet realization of the strong constraint of double field theory. The extension of this description to the heterotic theory is straightforward as all results are written in terms of the invariant and the generalized metrics. An explicit method is outline how to obtain a generalized metric which is invariant under T-duality orbifold actions. It is explicitly shown how shift orbifolds lead to redefinitions of the Narain moduli. Finally, a number of higher dimensional T-folds are constructed including a novel asymmetric ℤ6 orbifold.

scholarly journals Target-space anomalies and elliptic indices in heterotic orbifolds

2001 ◽  
Vol 2001 (02) ◽  
pp. 019-019 ◽  
Author(s):  
Claudio A Scrucca ◽  
Marco Serone
Keyword(s):  
Target Space ◽  
Heterotic Orbifolds

scholarly journals EMBEDDING FRACTIONAL QUANTUM HALL SOLITONS IN M-THEORY COMPACTIFICATIONS

2011 ◽  
Vol 08 (07) ◽  
pp. 1507-1518 ◽  
Author(s):  
A. BELHAJ ◽  
N.-E. FAHSSI ◽  
E. H. SAIDI ◽  
A. SEGUI
Keyword(s):  
Quantum Hall ◽  
Target Space ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Hirzebruch Surfaces ◽  
Dynkin Diagrams ◽  
Higher Dimensional ◽  
Dynkin Quivers ◽  
M Theory ◽  
Chern Simons

We engineer U(1)n Chern–Simons type theories describing fractional quantum Hall solitons (QHS) in 1 + 2 dimensions from M-theory compactified on eight-dimensional hyper-Kähler manifolds as target space of N = 4 sigma model. Based on M-theory/type IIA duality, the systems can be modeled by considering D6-branes wrapping intersecting Hirzebruch surfaces F0's arranged as ADE Dynkin Diagrams and interacting with higher-dimensional R-R gauge fields. In the case of finite Dynkin quivers, we recover well known values of the filling factor observed experimentally including Laughlin, Haldane and Jain series.

HAMILTONIAN THEORY OF THE RELATIVISTIC STRING

1990 ◽  
Vol 02 (03) ◽  
pp. 355-398 ◽  
Author(s):  
G.P. Pron’ko
Keyword(s):  
String Theory ◽  
Spectral Problem ◽  
Dimensional Space ◽  
Space Time ◽  
Point Of View ◽  
Relativistic String ◽  
Hamiltonian Theory ◽  
Gauge Fixing ◽  
Dimensional Space Time ◽  
Invariant Gauge

The relativistic string theory is considered from the Hamiltonian point of view. It is proposed to formulate the dynamics of string in d-dimensional space-time with the help of the auxiliary spectral problem. This approach gives the possibility to construct a completely new set of variables of string relevant for Lorentz-invariant gauge fixing. The notion of smooth string is introduced for which the successive relativistic invariant quantization could be done explicitly for the d=4 case.

COVARIANT QUANTIZATION OF SPINNING SUPERPARTICLES

1990 ◽  
Vol 05 (07) ◽  
pp. 519-524 ◽  
Author(s):  
M. HUQ
Keyword(s):  
Target Space ◽  
Covariant Quantization ◽  
Fixed Action ◽  
Gauge Fixing

We have applied the method of Batalin and Vilkovisky to obtain covariant quantization of massless spinning superparticles in D dimensions with M rigid target space and N local worldline supersymmetries. Appropriate gauge fixing has been introduced to obtain a quadratic gauge fixed action.

scholarly journals D = 2 STRING THEORY IN TARGET SPACE/WORLDSHEET LIGHT-CONE GAUGE

1994 ◽  
Vol 09 (33) ◽  
pp. 3041-3051
Author(s):  
A. P. ZUBAREV
Keyword(s):  
String Theory ◽  
Light Cone ◽  
Target Space ◽  
Light Cone Gauge ◽  
Physical Spectrum ◽  
Gauge Fixing ◽  
Linear Dilaton ◽  
Matter Fields

The D = 2 free string in the linear dilaton background is considered in the so-called target space/worldsheet light-cone gauge X+ = 0, g++ = 0, g+− = 1. After gauge-fixing, the theory has the residual Virasoro and U(1) current symmetries. The physical spectrum related to the SL 2-invariant vacuum is found to be trivial. We find that the theory has a non-trivial spectrum if the states in different nonequivalent representations ("pictures") of CFT algebra of matter fields are considered.

scholarly journals An E11 invariant gauge fixing

2018 ◽  
Vol 33 (01) ◽  
pp. 1850009 ◽  
Author(s):  
Michaella Pettit ◽  
Peter West
Keyword(s):  
Direct Product ◽  
Tangent Space ◽  
Space Time ◽  
Vector Representation ◽  
Alternative Derivation ◽  
Four Dimensions ◽  
Gauge Fixing ◽  
Cartan Involution ◽  
Low Levels ◽  
Invariant Gauge

We consider the nonlinear realisation of the semi-direct product of [Formula: see text] and its vector representation which leads to a space-time with tangent group that is the Cartan involution invariant subalgebra of [Formula: see text]. We give an alternative derivation of the invariant tangent space metric that this space–time possesses and compute this metric at low levels in eleven, five and four dimensions. We show that one can gauge fix the nonlinear realisation in an [Formula: see text] invariant manner.

scholarly journals Target space entanglement in Matrix Models

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Harsha R. Hampapura ◽  
Jonathan Harper ◽  
Albion Lawrence
Keyword(s):  
Matrix Models ◽  
Model Problem ◽  
Entanglement Entropy ◽  
Target Space ◽  
Matrix Elements ◽  
Permutation Symmetry ◽  
Close Attention ◽  
Open Strings ◽  
Gauge Fixing ◽  
The Matrix

Abstract We study target space entanglement in gauged multi-matrix models as models of entanglement between groups of D-branes separated by a planar entangling surface, paying close attention to the implementation of gauge invariance. We open with a review of target space entanglement between identical particles, which shares some important features (specifically a gauged permutation symmetry) with our main problem. For our matrix models, we implement a gauge fixing well-adapted to the entangling surface. In this gauge, we map the matrix model problem to that of entanglement of a U(1) gauge theory on a complete or all-to-all lattice. Matrix elements corresponding to open strings stretching across the entangling surface in the target space lead to interesting contributions to the entanglement entropy.

SUPERSYMMETRIC EXTENSION OF LOCAL LORENTZ SYMMETRY

1989 ◽  
Vol 04 (11) ◽  
pp. 2837-2859
Author(s):  
M. ABE ◽  
N. NAKANISHI
Keyword(s):  
Lagrangian Density ◽  
Lorentz Symmetry ◽  
Einstein Gravity ◽  
Supersymmetric Extension ◽  
Symmetric Extension ◽  
Gauge Fixing ◽  
Brs Symmetry ◽  
Invariant Gauge

The locally [Formula: see text]-symmetric extension of the vierbein formalism of the Einstein gravity is systematically reconstructed. The superconnection is defined by the requirement that the vierbein supermultiplet and the [Formula: see text] “vielbein” one have vanishing supercovariant derivatives. By using the superconnection, the globally super-invariant gauge-fixing Lagrangian density and the corresponding FP-ghost one are explicitly constructed. Then the theory is shown to be invariant under the extended BRS symmetry corresponding to the local [Formula: see text] symmetry.

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