A holographic inequality for N = 7 regions

نویسندگان

چکیده

A bstract In holographic duality, boundary states that have semiclassical bulk duals must obey inequalities, which bound their subsystems’ von Neumann entropies. Hitherto known inequalities constrain entropies of reduced on up to N = 5 disjoint subsystems. Here we report one new such inequality, involves 7 regions. Our work supports a recent conjecture the structure predicted existence and schematic form inequality. We explain logic educated guesses by arrived at comment feasibility employing similar tactics in more exhaustive search.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

15 صفحه اول

A NORM INEQUALITY FOR CHEBYSHEV CENTRES

In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a relative Chebyshev centre c of T with respect to F, then llx - qT (x)1I2 2 Ilx-cll2 + Ilc-qT (c) 112 x E F, where qT : F + T is any choice functi...

متن کامل

The Robin Inequality for 7-free Integers

Recall that an integer is t-free if and only if it is not divisible by pt for some prime p. We give a method to check Robin’s inequality, σ(n) < eγn log log n, for t-free integers n and apply it for t = 6, 7. We introduce Ψt, a generalization of the Dedekind Ψ function defined for any integer t ≥ 2, by Ψt(n) := n ∏ p|n ( 1 + 1/p + · · · + 1/pt−1 ) . If n is t-free then the sum of divisor functi...

متن کامل

Robin inequality for 7−free integers

Recall that an integer is t−free iff it is not divisible by p for some prime p. We give a method to check Robin inequality σ(n) < en log logn, for t−free integers n and apply it for t = 6, 7. We introduce Ψt, a generalization of Dedekind Ψ function defined for any integer t ≥ 2 by Ψt(n) := n ∏ p|n (1 + 1/p+ · · ·+ 1/p). If n is t−free then the sum of divisor function σ(n) is ≤ Ψt(n). We charact...

متن کامل

2 00 7 Interacting Holographic Phantom

In this paper we consider the holographic model of interacting dark energy in non-flat universe. With the choice of c ≤ 0.84, the interacting holographic dark energy can be described by a phantom scalar field. Then we show this phantomic description of the holographic dark energy with c ≤ 0.84 and reconstruct the potential of the phantom scalar field.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2023

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep01(2023)101