scholarly journals Functional Schrödinger and BRST quantization of (1+1)-dimensional gravity

1996 ◽  
Vol 54 (10) ◽  
pp. 6213-6225 ◽  
Author(s):  
E. Benedict ◽  
R. Jackiw ◽  
H. -J. Lee
Keyword(s):  
Brst Quantization ◽  
Dimensional Gravity

BRST quantization of one-dimensional gravity

1990 ◽  
Vol 84 (2) ◽  
pp. 877-886
Author(s):  
A. P. Demichev ◽  
M. Z. Iofa
Keyword(s):  
Brst Quantization ◽  
One Dimensional ◽  
Dimensional Gravity

BRST QUANTIZATION OF POLYAKOV’S TWO-DIMENSIONAL GRAVITY II

1991 ◽  
Vol 06 (07) ◽  
pp. 1233-1251 ◽  
Author(s):  
KATSUMI ITOH
Keyword(s):  
Physical State ◽  
Brst Quantization ◽  
State Condition ◽  
Two Dimensional ◽  
Minimal Models ◽  
Physical Spectrum ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Decoupling Mechanism ◽  
Quantized String

Two-dimensional supergravity coupled to the supersymmetric minimal models is quantized by the BRST method. We analysed the physical state condition and found that a state allowed in the physical spectrum must be a direct product of primary states in the matter and gravity sectors. The decoupling mechanism of the unphysical modes is quite similar to the first quantized string theory in the RNS formalism. The formula of KPZ for gravitational scaling dimensions is rederived from the physical state condition. This analysis is done in the conformal gauge.

BRST quantization of vector and axial-vector gauge theory

1993 ◽  
Vol 48 (10) ◽  
pp. 4916-4918
Author(s):  
Dae Sung Hwang ◽  
Chang-Yeong Lee
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Axial Vector ◽  
Vector Gauge

scholarly journals Free partition functions and an averaged holographic duality

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nima Afkhami-Jeddi ◽  
Henry Cohn ◽  
Thomas Hartman ◽  
Amirhossein Tajdini
Keyword(s):  
Partition Function ◽  
Spectral Gap ◽  
Central Charge ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Partition Functions ◽  
General Constraints ◽  
Dimensional Gravity ◽  
Holographic Duality

Abstract We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum over topologies in three dimensions. This result leads us to conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with U(1)c×U(1)c symmetry and a composite boundary graviton. Additionally, for small central charge c, we obtain general constraints on the spectral gap of free CFTs using the spinning modular bootstrap, construct examples of Narain compactifications with a large gap, and find an analytic bootstrap functional corresponding to a single self-dual boson.

scholarly journals Unitarity in KK-graviton production, a case study in warped extra-dimensions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
A. de Giorgi ◽  
S. Vogl
Keyword(s):  
Extra Dimensions ◽  
Sum Rules ◽  
Effective Theory ◽  
Higher Dimensional ◽  
Massive Spin ◽  
The Matrix ◽  
Dimensional Gravity ◽  
Warped Extra Dimensions ◽  
Kaluza Klein

Abstract The Kaluza-Klein (KK) decomposition of higher-dimensional gravity gives rise to a tower of KK-gravitons in the effective four-dimensional (4D) theory. Such massive spin-2 fields are known to be connected with unitarity issues and easily lead to a breakdown of the effective theory well below the naive scale of the interaction. However, the breakdown of the effective 4D theory is expected to be controlled by the parameters of the 5D theory. Working in a simplified Randall-Sundrum model we study the matrix elements for matter annihilations into massive gravitons. We find that truncating the KK-tower leads to an early breakdown of perturbative unitarity. However, by considering the full tower we obtain a set of sum rules for the couplings between the different KK-fields that restore unitarity up to the scale of the 5D theory. We prove analytically that these are fulfilled in the model under consideration and present numerical tests of their convergence. This work complements earlier studies that focused on graviton self-interactions and yields additional sum rules that are required if matter fields are incorporated into warped extra-dimensions.

Dark matter self-interactions from higher dimensional gravity

2006 ◽  
Vol 73 (12) ◽  
Author(s):  
Nicolas Chatillon ◽  
Cosmin Macesanu ◽  
Aleksandr Pinzul ◽  
Mark Trodden
Keyword(s):  
Dark Matter ◽  
Higher Dimensional ◽  
Dimensional Gravity
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