Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted release_hq66jym75jg7fptsm4i2ro3gsi

by Shan Hu, Dimitri Nanopoulos

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abstracts[] {'sha1': 'cd1fa7a87f9abbaf3727594204966d9b10d7250e', 'content': 'We discuss the Hopf-Wess-Zumino term in the effective action of the 6d (2, 0)\ntheory of the type A_N-1 in a generic Coulomb branch. For such terms, the\nsupergravity calculation could be trusted. We calculate the WZ term on\nsupergravity side and show that it could compensate the anomaly deficit, as is\nrequired by the anomaly matching condition. In contrast with the SYM theory, in\nwhich each WZ term involves one root e_i-e_j, here, the typical WZ term\ninvolves two roots e_i-e_j and e_k-e_j. Such kind of triple interaction\nmay come from the integrating out of the massive states carrying three indices.\nA natural candidate is the recently proposed 1/4 BPS objects in the Coulomb\nphase of the 6d (2, 0) theories. The WZ term could be derived from the field\ntheory by the integration out of massive degrees of freedom. Without the 6d (2,\n0) theory at hand, we take the supersymmetric equations for the 3-algebra\nvalued (2, 0) tensor multiplet as the prototype to see how far we can go. The\nH_3∧ A_3 part of the WZ term is obtained, while the A_3∧ F_4\npart, which is the term accounting for the anomaly matching, cannot be produced\nby the standard fermion loop integration.', 'mimetype': 'text/plain', 'lang': 'en'}
{'sha1': '999df08a855e9b874405337db404ff6a3c51d45a', 'content': 'We discuss the Hopf-Wess-Zumino term in the effective action of the 6d (2, 0)\ntheory of the type A_{N-1} in a generic Coulomb branch. For such terms, the\nsupergravity calculation could be trusted. We calculate the WZ term on\nsupergravity side and show that it could compensate the anomaly deficit, as is\nrequired by the anomaly matching condition. In contrast with the SYM theory, in\nwhich each WZ term involves one root e_{i}-e_{j}, here, the typical WZ term\ninvolves two roots e_{i}-e_{j} and e_{k}-e_{j}. Such kind of triple interaction\nmay come from the integrating out of the massive states carrying three indices.\nA natural candidate is the recently proposed 1/4 BPS objects in the Coulomb\nphase of the 6d (2, 0) theories. The WZ term could be derived from the field\ntheory by the integration out of massive degrees of freedom. Without the 6d (2,\n0) theory at hand, we take the supersymmetric equations for the 3-algebra\nvalued (2, 0) tensor multiplet as the prototype to see how far we can go. The\nH_{3}\\wedge A_{3} part of the WZ term is obtained, while the A_{3}\\wedge F_{4}\npart, which is the term accounting for the anomaly matching, cannot be produced\nby the standard fermion loop integration.', 'mimetype': 'application/x-latex', 'lang': 'en'}
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{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'Dimitri Nanopoulos', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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license_slug ARXIV-1.0
number ACT-16-11; MIFPA-11-46
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release_date 2011-10-04
release_stage submitted
release_type report
release_year 2011
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title Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
version v1
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arxiv.base_id 1110.0861
arxiv.categories ['hep-th']
arxiv.comments 24 pages, accepted by JHEP; v2: references added
arxiv.journal_ref JHEP 1110:054, 2011
superceded True