D_Brane.nb

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Cell[TextData[StyleBox["This notebook is a part of my Diploma Thesis with \
title \[OpenCurlyDoubleQuote]Swampland Conjectures and Constraints on \
Inflation\[CloseCurlyDoubleQuote] . The knowledge of the theoretical results \
is important, if someone wishes to follow the presented results in this \
notebook. My Thesis can be found in an other file in my GitHub repository.", \
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Cell["\<\
Definition of the Potential and Introduction of the Slow-Roll parameters\
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It is required by the theory that the period of inflation should stop when \
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We have to choose second possible solution, so we set with xf the final value \
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We proceed to the calculation of the initial value of \[CurlyPhi] , which \
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We calculate the slow-roll parameters for
\[CurlyPhi] = \[CurlyPhi]i. Afterwards, we
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For these specific observational indices there is no need for Taylor \
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primordial density perturbation and the tensor to scalar ratio:\
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\[Bullet] The Swampland Distance Conjecture limits the validity of an E.F.T.
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                                  \[Laplacian]\[CurlyPhi] \[LessEqual] f \
\[Tilde] O(1), in natural units

\[Bullet] The De Sitter Conjecture. It declares that it is impossible to create
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for the gradient of scalar potentials [Tri20]:
V\[CloseCurlyQuote]/V\[GreaterEqual] g \[Tilde] O(1). 
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