The information metric on the moduli space of instantons with global symmetries
In this note we revisit Hitchin's prescription [1] of the Fisher metric as a natural measure on the moduli space of instantons that encodes the space–time symmetries of a classical field theory. Motivated by the idea of the moduli space of supersymmetric instantons as an emergent space in the s...
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2016-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315009922 |
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doaj-2e2bec12db0c430485f1ff0c313250582020-11-24T23:16:32ZengElsevierPhysics Letters B0370-26931873-24452016-02-01753C66066310.1016/j.physletb.2015.12.044The information metric on the moduli space of instantons with global symmetriesEmanuel Malek0Jeff Murugan1Jonathan P. Shock2The Laboratory for Quantum Gravity & Strings, Astrophysics, Cosmology & Gravity Center, Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch, 7700, South AfricaThe Laboratory for Quantum Gravity & Strings, Astrophysics, Cosmology & Gravity Center, Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch, 7700, South AfricaThe Laboratory for Quantum Gravity & Strings, Astrophysics, Cosmology & Gravity Center, Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch, 7700, South AfricaIn this note we revisit Hitchin's prescription [1] of the Fisher metric as a natural measure on the moduli space of instantons that encodes the space–time symmetries of a classical field theory. Motivated by the idea of the moduli space of supersymmetric instantons as an emergent space in the sense of the gauge/gravity duality, we extend the prescription to encode also global symmetries of the underlying theory. We exemplify our construction with the instanton solution of the CPN sigma model on R2.http://www.sciencedirect.com/science/article/pii/S0370269315009922 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Emanuel Malek Jeff Murugan Jonathan P. Shock |
| spellingShingle |
Emanuel Malek Jeff Murugan Jonathan P. Shock The information metric on the moduli space of instantons with global symmetries Physics Letters B |
| author_facet |
Emanuel Malek Jeff Murugan Jonathan P. Shock |
| author_sort |
Emanuel Malek |
| title |
The information metric on the moduli space of instantons with global symmetries |
| title_short |
The information metric on the moduli space of instantons with global symmetries |
| title_full |
The information metric on the moduli space of instantons with global symmetries |
| title_fullStr |
The information metric on the moduli space of instantons with global symmetries |
| title_full_unstemmed |
The information metric on the moduli space of instantons with global symmetries |
| title_sort |
information metric on the moduli space of instantons with global symmetries |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 1873-2445 |
| publishDate |
2016-02-01 |
| description |
In this note we revisit Hitchin's prescription [1] of the Fisher metric as a natural measure on the moduli space of instantons that encodes the space–time symmetries of a classical field theory. Motivated by the idea of the moduli space of supersymmetric instantons as an emergent space in the sense of the gauge/gravity duality, we extend the prescription to encode also global symmetries of the underlying theory. We exemplify our construction with the instanton solution of the CPN sigma model on R2. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269315009922 |
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AT emanuelmalek theinformationmetriconthemodulispaceofinstantonswithglobalsymmetries AT jeffmurugan theinformationmetriconthemodulispaceofinstantonswithglobalsymmetries AT jonathanpshock theinformationmetriconthemodulispaceofinstantonswithglobalsymmetries AT emanuelmalek informationmetriconthemodulispaceofinstantonswithglobalsymmetries AT jeffmurugan informationmetriconthemodulispaceofinstantonswithglobalsymmetries AT jonathanpshock informationmetriconthemodulispaceofinstantonswithglobalsymmetries |
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