scholarly journals Supersymmetric field theories and geometric Langlands: The other side of the coin

2018 ◽  
pp. 79-105
Author(s):  
Aswin Balasubramanian ◽  
Jörg Teschner
Keyword(s):  
The Other ◽  
Field Theories ◽  
Supersymmetric Field Theories ◽  
Geometric Langlands

OF MARGINAL KINETIC TERMS AND ANOMALIES

1991 ◽  
Vol 06 (17) ◽  
pp. 1553-1559 ◽  
Author(s):  
TRISTAN HÜBSCH
Keyword(s):  
The Other ◽  
Field Theories ◽  
Supersymmetric Field Theories ◽  
Gravitational Anomalies

Certain special kinetic terms in supersymmetric field theories lead to exactly marginal operators in the sense of renormalization flow. Such terms are shown to arise naturally in 2-dimensional σ-models describing 4-dimensional superstring compactification, but many other models can also contain them. They are closely related to chiral gauge and gravitational anomalies on one hand and Ricci-flatness on the other.

scholarly journals Quantum Field Theory over $\mathbb{F}_q$

10.37236/589 ◽  
2011 ◽  
Vol 18 (1) ◽  
Author(s):  
Oliver Schnetz
Keyword(s):  
Field Theory ◽  
Perturbation Series ◽  
The Other ◽  
Field Theories ◽  
Roots Of Unity ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Feynman Rules ◽  
Graph Hypersurfaces ◽  
Prime 2

We consider the number $\bar N(q)$ of points in the projective complement of graph hypersurfaces over $\mathbb{F}_q$ and show that the smallest graphs with non-polynomial $\bar N(q)$ have 14 edges. We give six examples which fall into two classes. One class has an exceptional prime 2 whereas in the other class $\bar N(q)$ depends on the number of cube roots of unity in $\mathbb{F}_q$. At graphs with 16 edges we find examples where $\bar N(q)$ is given by a polynomial in $q$ plus $q^2$ times the number of points in the projective complement of a singular K3 in $\mathbb{P}^3$. In the second part of the paper we show that applying momentum space Feynman-rules over $\mathbb{F}_q$ lets the perturbation series terminate for renormalizable and non-renormalizable bosonic quantum field theories.

scholarly journals Conformally invariant supersymmetric field theories on Sp × S1 and super p-branes

1988 ◽  
Vol 305 (3) ◽  
pp. 483-496 ◽  
Author(s):  
Hermann Nicolai ◽  
Ergin Sezgin ◽  
Yoshiaki Tanii
Keyword(s):  
Field Theories ◽  
Conformally Invariant ◽  
Supersymmetric Field Theories
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