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Schwarzschild instanton in emergent gravity

Sumanto Chanda

S.N. Bose National Center for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098, India

E-mail Address: sumanto12@boson.bose.res.in

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Partha Guha

S.N. Bose National Center for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098, India

E-mail Address: partha@bose.res.in

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, and

Raju Roychowdhury

Instituto de Fisica, Universidade de Sao Paulo, C. Postal 66318, 05314-970 Sao Paulo, SP, Brazil

E-mail Address: raju.roychowdhury@gmail.com

E-mail Address: raju@if.usp.br

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https://doi.org/10.1142/S0219887817500062Cited by:0 (Source: Crossref)

Abstract

In the bottom-up approach of emergent gravity, we attempt to find symplectic gauge fields emerging from Euclidean Schwarzschild instanton, which is studied as electromagnetism defined on the symplectic space $(M, ω)$ . Geometrical engineering with the emergent metric sets up the Seiberg–Witten map between commutative and non-commutative gauge fields, preparing the ground for the evaluation of topological invariants in terms of the underlying gauge theory quantities.

Keywords:

PACS: 02.40.−Dr, 02.40.−k, 02.40.−Pc, 04.70−s

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