Soft Theorems from Compactification
arXiv:1911.05099 · doi:10.1007/JHEP02(2020)008
Abstract
We analyze the single subleading soft graviton theorem in dimensions under compactification on . This produces the single soft theorems for the graviton, vector and scalar fields in dimension. For the compactification of -dimensional supergravity theory, this gives the soft factorization properties of the single graviton, dilaton and RR 1-form fields in type IIA string theory in ten dimensions. For the case of the soft vector field, we also explicitly check the result obtained from compactification by computing the amplitudes with external massive spin two and massless finite energy states interacting with soft vector field. The former are the Kaluza-Klein excitations of the dimensional metric. Describing the interaction of the KK-modes with the vector field at each level by the minimally coupled Fierz-Pauli Lagrangian, we find agreement with the results obtained from the compactification if the gyromagnetic ratio in the minimally coupled Fierz-Pauli Lagrangian is taken to be .
arXiv comment22 pages + appendix
References in corpus (56)
- String Theory Dynamics In Various Dimensions
- String Solitons
- On BMS Invariance of Gravitational Scattering
- BMS supertranslations and Weinberg's soft graviton theorem
- Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
- On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
- Loop Corrections to Soft Theorems in Gauge Theories and Gravity
- Factorization Properties of Soft Graviton Amplitudes
- Subleading soft theorem in arbitrary dimension from scattering equations
- Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
- The method of regions and next-to-soft corrections in Drell-Yan production
- Constraining subleading soft gluon and graviton theorems
- More on Soft Theorems: Trees, Loops and Strings
- Sub-subleading soft gravitons and large diffeomorphisms
- Sub-sub-leading soft-graviton theorem in arbitrary dimension
- Diagrammatic insights into next-to-soft corrections
- Logarithmic Terms in the Soft Expansion in Four Dimensions
- Inconsistencies of Massive Charged Gravitating Higher Spins
- BMS Supertranslations and Not So Soft Gravitons
- Soft Photon and Graviton Theorems in Effective Field Theory
- Sub-subleading soft gravitons: New symmetries of quantum gravity?
- Loop-Corrected Virasoro Symmetry of 4D Quantum Gravity
- Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem
- New Double Soft Emission Theorems
- Next to subleading soft-graviton theorem in arbitrary dimensions
- Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
- Subleading Soft Factor for String Disk Amplitudes
- New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order
- Gravity Waves from Soft Theorem in General Dimensions
- BMS, String Theory, and Soft Theorems
- Soft Theorems in Superstring Theory
- Asymptotic charges from soft scalars in even dimensions
- Subleading Soft Theorem for Multiple Soft Gravitons
- Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions
- On the soft limit of closed string amplitudes with massive states
- Conformal Invariance of the Subleading Soft Theorem in Gauge Theory
- Subleading Soft Graviton Theorem for Loop Amplitudes
- The Double Copy Structure of Soft Gravitons
- On the soft limit of open string disk amplitudes with massive states
- Exploring soft constraints on effective actions
- Subsubleading soft theorems of gravitons and dilatons in the bosonic string
- Intrinsic Cutoff and Acausality for Massive Spin 2 Fields Coupled to Electromagnetism
- Unitarization from Geometry
- Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton
- Double-soft behavior of the dilaton of spontaneously broken conformal invariance
- On the exactness of soft theorems
- Soft Theorems from String Theory
- Double Soft Theorem for Perturbative Gravity
- Equations of Motion as Constraints: Superselection Rules, Ward Identities
- Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
- Double Soft Limit of Graviton Amplitude from the Cachazo-He-Yuan Formalism
- Note on Soft Graviton theorem by KLT Relation
- Hidden Conformal Symmetry in Tree-Level Graviton Scattering
- g=1 for Dirichlet 0-branes
- Multiloop Soft Theorem for Gravitons and Dilatons in the Bosonic String
- On the multiloop soft theorem of the dilaton in the bosonic string