{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/30822"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/30822","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The propagator for graviton modes in supergravity on ADS5 x S5","abstract":"The propagator for k ≥ 0 Kaluza-Klein modes of the graviton in supergravity (SUGRA) on AdS5 X S5 is calculated in part. This propagator could be useful in calculations of four-leg scattering amplitudes as a further test of the proposed holographic duality between SUGRA on AdSd and the conformal field theory (CFT) on the (d - 1)-dimensional boundary of AdS d. The propagator is a symmetric bitensor and thus can be written as a linear combination of five basis tensors. A system of equations for the five coefficient functions is obtained. It is shown that a combination of three of these functions is a certain hypergeometric function.","abstract_html":"The propagator for k ≥ 0 Kaluza-Klein modes of the graviton in supergravity (SUGRA) on AdS5 X S5 is calculated in part. This propagator could be useful in calculations of four-leg scattering amplitudes as a further test of the proposed holographic duality between SUGRA on AdSd and the conformal field theory (CFT) on the (d - 1)-dimensional boundary of AdS d. The propagator is a symmetric bitensor and thus can be written as a linear combination of five basis tensors. A system of equations for the five coefficient functions is obtained. It is shown that a combination of three of these functions is a certain hypergeometric function.","abstract_has_math":false,"creators":["Ostling, Annette Marie"],"institution":null,"degree_name":"M.S.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Leigh, Robert G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-05-08T19:17:56Z","date_published":"2012-05-08T19:17:56Z","updated_at":"2026-07-22T22:25:29Z","subjects":["SUGRA","String Theory","supergravity"],"languages":["en"],"rights":["© Copyright by Annette Marie Ostling, 1999"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["4256041"],"render_values":[{"text":"4256041","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/30822","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Leigh, Robert G."]},{"key":"dc:creator","label":"Author","values":["Ostling, Annette Marie"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-05-08T19:17:56Z","10000-01-01","1999"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["SUGRA","String Theory","supergravity"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["© Copyright by Annette Marie Ostling, 1999"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["4256041","http://hdl.handle.net/2142/30822"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The propagator for k ≥ 0 Kaluza-Klein modes of the graviton in supergravity (SUGRA) on AdS5 X S5 is calculated in part. This propagator could be useful in calculations of four-leg scattering amplitudes as a further test of the proposed holographic duality between SUGRA on AdSd and the conformal field theory (CFT) on the (d - 1)-dimensional boundary of AdS d. The propagator is a symmetric bitensor and thus can be written as a linear combination of five basis tensors. A system of equations for the five coefficient functions is obtained. It is shown that a combination of three of these functions is a certain hypergeometric function.","Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-08T19:17:56Z No. of bitstreams: 1 1999_ostling.pdf: 991916 bytes, checksum: 39899b9ac867fc25b6808e1e8cd83100 (MD5)","Made available in DSpace on 2012-05-08T19:17:56Z (GMT). No. of bitstreams: 1 1999_ostling.pdf: 991916 bytes, checksum: 39899b9ac867fc25b6808e1e8cd83100 (MD5) Previous issue date: 1999","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-08T19:17:56Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:34:31-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: dissertation/thesis","dissertation/thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["The propagator for graviton modes in supergravity on ADS5 x S5"]}]}],"canonical_facts":{"dc:contributor":["Leigh, Robert G."],"dc:creator":["Ostling, Annette Marie"],"dc:date":["2012-05-08T19:17:56Z","10000-01-01","1999"],"dc:description":["The propagator for k ≥ 0 Kaluza-Klein modes of the graviton in supergravity (SUGRA) on AdS5 X S5 is calculated in part. This propagator could be useful in calculations of four-leg scattering amplitudes as a further test of the proposed holographic duality between SUGRA on AdSd and the conformal field theory (CFT) on the (d - 1)-dimensional boundary of AdS d. The propagator is a symmetric bitensor and thus can be written as a linear combination of five basis tensors. A system of equations for the five coefficient functions is obtained. It is shown that a combination of three of these functions is a certain hypergeometric function.","Submitted by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-08T19:17:56Z No. of bitstreams: 1 1999_ostling.pdf: 991916 bytes, checksum: 39899b9ac867fc25b6808e1e8cd83100 (MD5)","Made available in DSpace on 2012-05-08T19:17:56Z (GMT). No. of bitstreams: 1 1999_ostling.pdf: 991916 bytes, checksum: 39899b9ac867fc25b6808e1e8cd83100 (MD5) Previous issue date: 1999","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Megan O'Donnell (mnodonn2@illinois.edu) on 2012-05-08T19:17:56Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:34:31-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: dissertation/thesis","dissertation/thesis","U of I Only"],"dc:identifier":["4256041","http://hdl.handle.net/2142/30822"],"dc:language":["en"],"dc:rights":["© Copyright by Annette Marie Ostling, 1999"],"dc:subject":["SUGRA","String Theory","supergravity"],"dc:title":["The propagator for graviton modes in supergravity on ADS5 x S5"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["M.S."]},"updated_at":"2026-07-22T22:25:29Z"}