scholarly journals The supersymmetric version of the Green-Schwarz anomaly cancellation mechanism

1994 ◽  
Vol 332 (1-2) ◽  
pp. 71-76 ◽  
Author(s):  
Antonio Candiello ◽  
Kurt Lechner
Keyword(s):  
Anomaly Cancellation ◽  
Supersymmetric Version

scholarly journals THE N=2 VECTOR–TENSOR MULTIPLET, CENTRAL CHARGE SUPERSPACE, AND CHERN–SIMONS COUPLINGS

1998 ◽  
Vol 13 (11) ◽  
pp. 1805-1816 ◽  
Author(s):  
RICHARD GRIMM ◽  
MAXIMILIAN HASLER ◽  
CARL HERRMANN
Keyword(s):  
Ab Initio ◽  
Gauge Field ◽  
Central Charge ◽  
Alternative Interpretation ◽  
Antisymmetric Tensor ◽  
Geometric Description ◽  
Anomaly Cancellation ◽  
Supersymmetric Version ◽  
Tensor Multiplet ◽  
Chern Simons

We present a new, alternative interpretation of the vector–tensor multiplet as a two-form in central charge superspace. This approach provides a geometric description of the (nontrivial) central charge transformations ab initio and is naturally generalized to include couplings of Chern–Simons forms to the antisymmetric tensor gauge field, giving rise to a N=2 supersymmetric version of the Green–Schwarz anomaly cancellation mechanism.

scholarly journals Standard model from a supergravity model with a naturally small cosmological constant

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Shing Yan Li ◽  
Yu-Cheng Qiu ◽  
S.-H. Henry Tye
Keyword(s):  
String Theory ◽  
Standard Model ◽  
Cosmological Constant ◽  
Supersymmetry Breaking ◽  
Supersymmetric Standard Model ◽  
Degrees Of Freedom ◽  
Interaction Terms ◽  
Supersymmetric Version ◽  
The Standard Model ◽  
Linear Version

Abstract Guided by the naturalness criterion for an exponentially small cosmological constant, we present a string theory motivated 4-dimensional $$ \mathcal{N} $$ N = 1 non-linear supergravity model (or its linear version with a nilpotent superfield) with spontaneous supersymmetry breaking. The model encompasses the minimal supersymmetric standard model, the racetrack Kähler uplift, and the KKLT anti-D3-branes, and use the nilpotent superfield to project out the undesirable interaction terms as well as the unwanted degrees of freedom to end up with the standard model (not the supersymmetric version) of strong and electroweak interactions.

scholarly journals A note on gauge anomaly cancellation in effective field theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ferruccio Feruglio
Keyword(s):  
Effective Field Theories ◽  
Effective Field ◽  
Field Theories ◽  
Anomaly Cancellation ◽  
Charge Assignment ◽  
The Standard Model ◽  
Renormalizable Theory ◽  
Complete Set ◽  
Gauge Anomalies ◽  
Gauge Anomaly

Abstract The conditions for the absence of gauge anomalies in effective field theories (EFT) are rivisited. General results from the cohomology of the BRST operator do not prevent potential anomalies arising from the non-renormalizable sector, when the gauge group is not semi-simple, like in the Standard Model EFT (SMEFT). By considering a simple explicit model that mimics the SMEFT properties, we compute the anomaly in the regularized theory, including a complete set of dimension six operators. We show that the dependence of the anomaly on the non-renormalizable part can be removed by adding a local counterterm to the theory. As a result the condition for gauge anomaly cancellation is completely controlled by the charge assignment of the fermion sector, as in the renormalizable theory.

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.

PERTURBATIVE EXPANSION FOR THE t-J MODEL CONSTRUCTED FROM THE GENERATORS OF THE SUPERSYMMETRIC HUBBARD ALGEBRA

2009 ◽  
Vol 23 (14) ◽  
pp. 3159-3177
Author(s):  
CARLOS E. REPETTO ◽  
OSCAR P. ZANDRON
Keyword(s):  
Perturbative Expansion ◽  
Lagrangian Formalism ◽  
Graded Algebra ◽  
Integral Formalism ◽  
Generating Functional ◽  
First Order ◽  
Effective Lagrangian ◽  
Supersymmetric Version ◽  
Present Formalism ◽  
Ghost Field

By using the Hubbard [Formula: see text]-operators as field variables along with the supersymmetric version of the Faddeev–Jackiw symplectic formalism, a family of first-order constrained Lagrangians for the t-J model is found. In order to satisfy the Hubbard [Formula: see text]-operator commutation rules satisfying the graded algebra spl(2,1), the number and kind of constraints that must be included in a classical first-order Lagrangian formalism for this model are presented. The model is also analyzed via path-integral formalism, where the correlation-generating functional and the effective Lagrangian are constructed. In this context, the introduction of a proper ghost field is needed to render the model renormalizable. The perturbative Lagrangian formalism is developed and it is shown how propagators and vertices can be renormalized to each order. In particular, the renormalized ferromagnetic magnon propagator arising in the present formalism is discussed. As an example, the thermal softening of the magnon frequency is computed.

scholarly journals Anomaly cancellation in six dimensions

1994 ◽  
Vol 35 (4) ◽  
pp. 1819-1833 ◽  
Author(s):  
Jens Erler
Keyword(s):  
Anomaly Cancellation ◽  
Six Dimensions
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