Syzygies among elementary string interactions in 2+1 dimensions

1991 ◽  
Vol 23 (4) ◽  
pp. 287-300 ◽  
Author(s):  
J. Scott Carter ◽  
Masahico Saito
Keyword(s):  
Elementary String

scholarly journals EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES

1995 ◽  
Vol 10 (28) ◽  
pp. 2081-2093 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Coupling Constant ◽  
Left Handed ◽  
Quantum Numbers ◽  
Independent Parameters ◽  
Elementary String ◽  
Extremal Black Holes

Some of the extremal black hole solutions in string theory have the same quantum numbers as the Bogomol’nyi saturated elementary string states. We explore the possibility that these black holes can be identified with elementary string excitations. It is shown that stringy effects could correct the Bekenstein-Hawking formula for the black hole entropy in such a way that it correctly reproduces the logarithm of the density of elementary string states. In particular, this entropy has the correct dependence on three independent parameters, the mass and the left-handed charge of the black hole, and the string coupling constant.

scholarly journals MAGNETIC MONOPOLES, BOGOMOL’NYI BOUND AND SL(2, ℤ) INVARIANCE IN STRING THEORY

1993 ◽  
Vol 08 (21) ◽  
pp. 2023-2036 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
String Theory ◽  
Lower Bound ◽  
Weak Coupling ◽  
Magnetic Monopoles ◽  
Elementary Particles ◽  
Heterotic String ◽  
Dimensional Torus ◽  
Duality Transformation ◽  
Heterotic String Theory ◽  
Elementary String

We show that in heterotic string theory compactified on a six-dimensional torus, the lower bound (Bogomol’nyi bound) on the dyon mass is invariant under the SL (2, ℤ) transformation that interchanges strong and weak coupling limits of the theory. Elementary string excitations are also shown to satisfy this lower bound. Finally, we identify specific monopole solutions that are related via the strong-weak coupling duality transformation to some of the elementary particles saturating the Bogomol’nyi bound, and these monopoles are shown to have the same mass and degeneracy of states as the corresponding elementary particles.

scholarly journals Extended TQFTs via generators and relations I: The extended toric code

2020 ◽  
pp. 2050054
Author(s):  
Bruce Bartlett ◽  
Gerrit Goosen
Keyword(s):  
Class Group ◽  
Fusion Category ◽  
Mapping Class ◽  
Quantum Field Theories ◽  
Generators And Relations ◽  
3 Dimensional ◽  
Topological Quantum ◽  
Linear Maps ◽  
Phd Thesis ◽  
Elementary String

In his PhD thesis [G. Goosen, Oriented 123-tqfts via string-nets and state-sums, PhD thesis, Stellenbosch University, Stellenbosch (2018)], Goosen combined the string-net and the generators-and-relations formalisms for arbitrary once-extended 3-dimensional topological quantum field theories (TQFTs). In this paper, we work this out in detail for the simplest nontrivial example, where the underlying spherical fusion category is the category of [Formula: see text]-graded vector spaces. This allows us to give an elementary string-net description of the linear maps associated to 3-dimensional bordisms. The string-net formalism also simplifies the description of the mapping class group action in the resulting TQFT. We conclude the paper by performing some example calculations from this viewpoint.

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