scholarly journals Dimers, orientifolds and anomalies

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Riccardo Argurio ◽  
Matteo Bertolini ◽  
Sebastián Franco ◽  
Eduardo García-Valdecasas ◽  
Shani Meynet ◽  
...  
Keyword(s):  
Physical Properties ◽  
Gauge Theories ◽  
Geometric Properties ◽  
Dimer Model ◽  
Gauge Anomalies

Abstract We study 4d$$ \mathcal{N} $$ N = 1 gauge theories engineered via D-branes at orientifolds of toric singularities, where gauge anomalies are cancelled without the introduction of non-compact flavor branes. Using dimer model techniques, we derive geometric criteria for establishing whether a given singularity can admit anomaly-free D-brane configurations purely based on its toric data and the type of orientifold projection. Our results therefore extend the dictionary between geometric properties of singularities and physical properties of the corresponding gauge theories.

scholarly journals BRST and Superfield Formalism—A Review

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 280
Author(s):  
Loriano Bonora ◽  
Rudra Prakash Malik
Keyword(s):  
Riemannian Geometry ◽  
Gauge Theories ◽  
Original Material ◽  
Comprehensive Description ◽  
Higher Spin ◽  
Gauge Anomalies

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of BRST and anti-BRST algebras and their applications to some field-theoretic topics. After a review of the superfield formalism for gauge theories, we present the same formalism for gerbes and diffeomorphism invariant theories. The application to diffeomorphisms leads, in particular, to a horizontal Riemannian geometry in the superspace. We then illustrate the application to the description of consistent gauge anomalies and Wess–Zumino terms for which the formalism seems to be particularly tailor-made. The next subject covered is the higher spin YM-like theories and their anomalies. Finally, we show that the BRST superfield formalism applies as well to the N=1 super-YM theories formulated in the supersymmetric superspace, for the two formalisms go along with each other very well.

scholarly journals Omega vs. pi, and 6d anomaly cancellation

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Joe Davighi ◽  
Nakarin Lohitsiri
Keyword(s):  
Gauge Theories ◽  
Necessary Conditions ◽  
Homotopy Groups ◽  
Mapping Torus ◽  
Anomaly Cancellation ◽  
Global Anomaly ◽  
Gauge Anomalies ◽  
Local Anomalies ◽  
Dimensional Mapping

Abstract In this note we review the role of homotopy groups in determining non-perturbative (henceforth ‘global’) gauge anomalies, in light of recent progress understanding global anomalies using bordism. We explain why non-vanishing of πd(G) is neither a necessary nor a sufficient condition for there being a possible global anomaly in a d-dimensional chiral gauge theory with gauge group G. To showcase the failure of sufficiency, we revisit ‘global anomalies’ that have been previously studied in 6d gauge theories with G = SU(2), SU(3), or G2. Even though π6(G) ≠ 0, the bordism groups $$ {\Omega}_7^{\mathrm{Spin}}(BG) $$ Ω 7 Spin BG vanish in all three cases, implying there are no global anomalies. In the case of G = SU(2) we carefully scrutinize the role of homotopy, and explain why any 7-dimensional mapping torus must be trivial from the bordism perspective. In all these 6d examples, the conditions previously thought to be necessary for global anomaly cancellation are in fact necessary conditions for the local anomalies to vanish.

ON THE QUANTIZATION OF A THEORY WITH GLOBAL GAUGE ANOMALIES

1987 ◽  
Vol 02 (12) ◽  
pp. 977-982 ◽  
Author(s):  
ROBERTO PERCACCI
Keyword(s):  
Gauge Theories ◽  
Global Gauge ◽  
Gauge Anomalies

It is shown that the Faddeev-Shatashvili approach to the quantization of anomalous gauge theories can be extended to the case of global gauge anomalies.

CALCULATION OF ANOMALIES IN GAUGE THEORIES USING A GEOMETRIC APPROACH

2004 ◽  
Vol 13 (04) ◽  
pp. 801-810 ◽  
Author(s):  
PAUL BRACKEN
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Geometric Approach ◽  
Geometric Properties ◽  
Elementary Derivation ◽  
Geometric Methods

Gauge theory and anomalies which arise under quantization of these theories are formulated using differential geometric methods. The Wess–Zumino conditions are developed and some other relevant geometric properties of anomalies are mentioned. An elementary derivation of the non-Abelian anomaly in 2n dimensions is presented using this formalism.

scholarly journals ON THE RENORMALIZABILITY OF THEORIES WITH GAUGE ANOMALIES

2000 ◽  
Vol 15 (29) ◽  
pp. 4603-4622 ◽  
Author(s):  
RODOLFO CASANA ◽  
SEBASTIÃO A. DIAS
Keyword(s):  
Gauge Invariance ◽  
Gauge Theories ◽  
Tree Level ◽  
Green Functions ◽  
Photon Propagator ◽  
Loop Level ◽  
Loop Expansion ◽  
Gauge Anomalies

We consider the detailed renormalization of two (1+1)-dimensional gauge theories which are quantized without preserving gauge invariance: the chiral and the "anomalous" Schwinger models. By regularizing the nonperturbative divergences that appear in fermionic Green functions of both models, we show that the "tree level" photon propagator is ill defined, thus forcing one to use the complete photon propagator in the loop expansion of these functions. We perform the renormalization of these divergences in both models to one-loop level, defining it in a consistent and semiperturbative sense that we propose in this paper.

Analysis on Chloride Diffusion According to the Change of Physical, Geometric Properties in Concrete

2014 ◽  
Vol 1052 ◽  
pp. 367-376
Author(s):  
Do Gyeum Kim
Keyword(s):  
Compressive Strength ◽  
Fine Structure ◽  
Physical Properties ◽  
Geometric Structure ◽  
Void Ratio ◽  
Chloride Diffusion ◽  
Geometric Properties ◽  
Diffusion Speed ◽  
The Impact ◽  
Corrosion Time

This study analyzed the impact caused by the change in the physical properties and fine structure of concrete by setting compressive strength, void ratio and permeability as the index to express the physical properties and geometric structure of concrete and then by analyzing the physical properties according to the mix properties of concrete, and secured the data to estimate the corrosion time of structure rebar by analyzing the chloride diffusion speed according to the change in the chloride diffusion speed and physical properties depending on mix properties.

scholarly journals ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES

2002 ◽  
Vol 17 (01) ◽  
pp. 123-144 ◽  
Author(s):  
FARHAD ARDALAN ◽  
NÉDA SADOOGHI
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Gauge Fields ◽  
Noncommutative Gauge Theory ◽  
Gauge Anomalies ◽  
Noncommutative Gauge Theories ◽  
Matter Fields

Anomalies arising from nonplanar triangle diagrams of noncommutative gauge theory are studied. Local chiral gauge anomalies for both noncommutative U(1) and U(N) gauge theories with adjoint matter fields are shown to vanish. For noncommutative QED with fundamental matters, due to UV/IR mixing a finite anomaly emerges from the nonplanar contributions. It involves a generalized ⋆-product of gauge fields.

The Photometric Properties of the Ap Stars

1976 ◽  
Vol 32 ◽  
pp. 365-377 ◽  
Author(s):  
B. Hauck
Keyword(s):  
Physical Properties ◽  
Ap Stars

The Ap stars are numerous - the photometric systems tool It would be very tedious to review in detail all that which is in the literature concerning the photometry of the Ap stars. In my opinion it is necessary to examine the problem of the photometric properties of the Ap stars by considering first of all the possibility of deriving some physical properties for the Ap stars, or of detecting new ones. My talk today is prepared in this spirit. The classification by means of photoelectric photometric systems is at the present time very well established for many systems, such as UBV, uvbyβ, Vilnius, Geneva and DDO systems. Details and methods of classification can be found in Golay (1974) or in the proceedings of the Albany Colloquium edited by Philip and Hayes (1975).

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