{"id":{"repo_id":"kings","oai_identifier":"oai:kclpure.kcl.ac.uk:studenttheses/775e2c55-d7de-4d43-89f4-b995fa13b640"},"canonical_url":"https://search.dev.ndltd.org/etd/kings/oai:kclpure.kcl.ac.uk:studenttheses/775e2c55-d7de-4d43-89f4-b995fa13b640","repository":{"repo_id":"kings","name":"King's College London","base_url":"https://kclpure.kcl.ac.uk/ws/oai"},"display":{"title":"Higher Derivative Corrections to the Low-Energy E ective Action of Type IIA/B String Theory and M-theory","abstract":"The type IIA and type IIB supergravity actions in d = 10 dimensions are the low-energy eective theories of type IIA and IIB string theory. In addition, the unique eleven dimensional supergravity theory is the low-energy eective action of M-theory. Higher order corrections to the low-energy eective actions of these supergravity theories contain perturbative and non-perturbative eects
of the corresponding string theories and, as such, understanding the structure of the higher order terms provides an insight into the perturbative and non-perturbative formulations of string theory. The U-duality groups of type IIA/B string theory and M-theory compactied on a torus to d < 10 dimensions puts powerful constraints on the higher derivative terms in the eective actions of these theories. In particular, the higher derivative terms in d = 10 􀀀 n dimensions are required to possess coecient functions that transform as En+1 (Z) automorphic forms. These automorphic forms are complex mathematical objects that encode all the perturbative and non-perturbative features of type II string theory and M-theory compactied on an torus to d dimensions. We investigate the structure of the higher derivative terms and their associated automorphic forms in the eective actions of type IIA/B string theory and M-theory. Constraints on automor-
phic forms appearing in d dimensions by dimensional reduction of arbitrary higher derivative terms in the type IIA, type IIB and M-theory eective actions to d dimensions are obtained. The behaviour of higher derivative terms in the d dimensional type II eective action in specic limits of various parameters is analysed. We derive a group theoretical interpretation for each limit. A general formula is given for a class of automorphic forms in these limits.","abstract_html":"The type IIA and type IIB supergravity actions in d = 10 dimensions are the low-energy eective theories of type IIA and IIB string theory. In addition, the unique eleven dimensional supergravity theory is the low-energy eective action of M-theory. Higher order corrections to the low-energy eective actions of these supergravity theories contain perturbative and non-perturbative eects<br/>of the corresponding string theories and, as such, understanding the structure of the higher order terms provides an insight into the perturbative and non-perturbative formulations of string theory. The U-duality groups of type IIA/B string theory and M-theory compactied on a torus to d < 10 dimensions puts powerful constraints on the higher derivative terms in the eective actions of these theories. In particular, the higher derivative terms in d = 10 &#x100000; n dimensions are required to possess coecient functions that transform as En+1 (Z) automorphic forms. These automorphic forms are complex mathematical objects that encode all the perturbative and non-perturbative features of type II string theory and M-theory compactied on an torus to d dimensions. We investigate the structure of the higher derivative terms and their associated automorphic forms in the eective actions of type IIA/B string theory and M-theory. Constraints on automor-<br/>phic forms appearing in d dimensions by dimensional reduction of arbitrary higher derivative terms in the type IIA, type IIB and M-theory eective actions to d dimensions are obtained. The behaviour of higher derivative terms in the d dimensional type II eective action in specic limits of various parameters is analysed. We derive a group theoretical interpretation for each limit. A general formula is given for a class of automorphic forms in these limits.","abstract_has_math":false,"creators":["Gubay, Finn"],"institution":"King's College London","degree_name":"Doctor of Philosophy","degree_level":"Doctoral Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Lambert, Neil Douglas","West, Peter Christopher"],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-7-1","date_published":"2012-7-1","updated_at":"2026-07-24T02:44:37Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["oai:kclpure.kcl.ac.uk:studenttheses/775e2c55-d7de-4d43-89f4-b995fa13b640"],"render_values":[{"text":"oai:kclpure.kcl.ac.uk:studenttheses/775e2c55-d7de-4d43-89f4-b995fa13b640","href":null,"code":true}]}]},"links":{"outbound_url":"https://kclpure.kcl.ac.uk/portal/en/studentTheses/775e2c55-d7de-4d43-89f4-b995fa13b640","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Lambert, Neil Douglas","West, Peter Christopher"]},{"key":"dc:creator","label":"Author","values":["Gubay, Finn"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-7-1"]},{"key":"dc:date.issued","label":"Date","values":["2012-7-1"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["King's College London"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://kclpure.kcl.ac.uk/portal/en/studentTheses/775e2c55-d7de-4d43-89f4-b995fa13b640"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral Thesis"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["Doctor of Philosophy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["oai:kclpure.kcl.ac.uk:studenttheses/775e2c55-d7de-4d43-89f4-b995fa13b640","https://kclpure.kcl.ac.uk/portal/en/studentTheses/775e2c55-d7de-4d43-89f4-b995fa13b640"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://kclpure.kcl.ac.uk/portal/files/31009287/2012_Gubay_Finn_0738350_ethesis.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The type IIA and type IIB supergravity actions in d = 10 dimensions are the low-energy eective theories of type IIA and IIB string theory. In addition, the unique eleven dimensional supergravity theory is the low-energy eective action of M-theory. Higher order corrections to the low-energy eective actions of these supergravity theories contain perturbative and non-perturbative eects
of the corresponding string theories and, as such, understanding the structure of the higher order terms provides an insight into the perturbative and non-perturbative formulations of string theory. The U-duality groups of type IIA/B string theory and M-theory compactied on a torus to d < 10 dimensions puts powerful constraints on the higher derivative terms in the eective actions of these theories. In particular, the higher derivative terms in d = 10 􀀀 n dimensions are required to possess coecient functions that transform as En+1 (Z) automorphic forms. These automorphic forms are complex mathematical objects that encode all the perturbative and non-perturbative features of type II string theory and M-theory compactied on an torus to d dimensions. We investigate the structure of the higher derivative terms and their associated automorphic forms in the eective actions of type IIA/B string theory and M-theory. Constraints on automor-
phic forms appearing in d dimensions by dimensional reduction of arbitrary higher derivative terms in the type IIA, type IIB and M-theory eective actions to d dimensions are obtained. The behaviour of higher derivative terms in the d dimensional type II eective action in specic limits of various parameters is analysed. We derive a group theoretical interpretation for each limit. A general formula is given for a class of automorphic forms in these limits."]},{"key":"dc:title","label":"Title","values":["Higher Derivative Corrections to the Low-Energy E ective Action of Type IIA/B String Theory and M-theory"]}]}],"canonical_facts":{"dc:contributor.advisor":["Lambert, Neil Douglas","West, Peter Christopher"],"dc:creator":["Gubay, Finn"],"dc:date":["2012-7-1"],"dc:date.issued":["2012-7-1"],"dc:description.abstract":["The type IIA and type IIB supergravity actions in d = 10 dimensions are the low-energy eective theories of type IIA and IIB string theory. In addition, the unique eleven dimensional supergravity theory is the low-energy eective action of M-theory. Higher order corrections to the low-energy eective actions of these supergravity theories contain perturbative and non-perturbative eects
of the corresponding string theories and, as such, understanding the structure of the higher order terms provides an insight into the perturbative and non-perturbative formulations of string theory. The U-duality groups of type IIA/B string theory and M-theory compactied on a torus to d < 10 dimensions puts powerful constraints on the higher derivative terms in the eective actions of these theories. In particular, the higher derivative terms in d = 10 􀀀 n dimensions are required to possess coecient functions that transform as En+1 (Z) automorphic forms. These automorphic forms are complex mathematical objects that encode all the perturbative and non-perturbative features of type II string theory and M-theory compactied on an torus to d dimensions. We investigate the structure of the higher derivative terms and their associated automorphic forms in the eective actions of type IIA/B string theory and M-theory. Constraints on automor-
phic forms appearing in d dimensions by dimensional reduction of arbitrary higher derivative terms in the type IIA, type IIB and M-theory eective actions to d dimensions are obtained. The behaviour of higher derivative terms in the d dimensional type II eective action in specic limits of various parameters is analysed. We derive a group theoretical interpretation for each limit. A general formula is given for a class of automorphic forms in these limits."],"dc:identifier":["oai:kclpure.kcl.ac.uk:studenttheses/775e2c55-d7de-4d43-89f4-b995fa13b640","https://kclpure.kcl.ac.uk/portal/en/studentTheses/775e2c55-d7de-4d43-89f4-b995fa13b640"],"dc:identifier.uri":["https://kclpure.kcl.ac.uk/portal/files/31009287/2012_Gubay_Finn_0738350_ethesis.pdf"],"dc:language":["eng"],"dc:publisher.department":["Mathematics"],"dc:publisher.institution":["King's College London"],"dc:relation.isreferencedby":["https://kclpure.kcl.ac.uk/portal/en/studentTheses/775e2c55-d7de-4d43-89f4-b995fa13b640"],"dc:title":["Higher Derivative Corrections to the Low-Energy E ective Action of Type IIA/B String Theory and M-theory"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["Doctoral Thesis"],"dc:type.qualificationname":["Doctor of Philosophy"]},"updated_at":"2026-07-24T02:44:37Z"}