Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 6 fund + 6 anti-fund (not completed) SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 Adj + 2 rank-2 anti-symm + 2 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 anti-symm + (conj.) (not completed) SU(9): 2 rank-2 anti-symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector SO(5): 2 Adj (not completed) SO(5): 2 Adj + 1 vector (not completed) SO(7): 1 rank-2 symm + 1 rank-2 anti-symm SO(8): 1 Adj + 1 rank-2 symm + 1 vector (not completed) SO(11): 2 rank-2 symm SO(12): 2 rank-2 symm + 1 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 Adj + 4 fund (not completed) Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 2 Adj + 2 fund (not completed) Sp(2): 1 Adj + 1 rank-2 anti-symm + 2 fund (not completed) Sp(2): 1 Adj + 2 rank-2 anti-symm + 2 fund (not completed) Sp(2): 2 Adj + 1 rank-2 anti-symm + 2 fund (not completed) Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) Sp(3): 2 Adj + 1 rank-2 anti-symm Sp(3): 3 rank-2 anti-symm + 2 fund (not completed) Sp(4): 3 rank-2 anti-symm (not completed) Sp(4): 3 rank-2 anti-symm + 2 fund (not completed) Sp(4): 2 rank-2 anti-symm + 2 fund (not completed) Sp(4): 2 rank-2 anti-symm (not completed) Sp(4): 2 rank-2 anti-symm + 2 fund (not completed) G2: 1 Adj + 1 fund H0+H1 (not completed) E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
55685	SU2adj1nf3	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$	0.7983	0.9507	0.8397	[M:[0.959], q:[0.5205, 0.5205, 0.7603], qb:[0.7603, 0.7603, 0.7603], phi:[0.4795]]	[M:[[0, 0, -2, -2]], q:[[-1, 0, 2, 2], [1, 0, 0, 0], [0, -1, 1, 1]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, 0, -1, -1]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{3}$, ${ }q_{2}q_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{1}q_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{3}\tilde{q}_{1}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{2}$, ${ }q_{3}\tilde{q}_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$	${}$	-10	2*t^2.877 + 8*t^3.842 + 9*t^4.562 + 3*t^5.754 - 10*t^6. + 9*t^7.438 + 27*t^7.685 + 48*t^8.404 + 4*t^8.631 - 11*t^8.877 - t^4.438/y - (2*t^7.315)/y + (2*t^7.562)/y + t^8.754/y - t^4.438*y - 2*t^7.315*y + 2*t^7.562*y + t^8.754*y	(2*t^2.877)/(g3^2*g4^2) + g1*g2*t^3.842 + g1*g3*t^3.842 + g1*g4*t^3.842 + (g1*g3*g4*t^3.842)/g2 + (g2*g3^2*g4^2*t^3.842)/g1 + (g3^3*g4^2*t^3.842)/g1 + (g3^2*g4^3*t^3.842)/g1 + (g3^3*g4^3*t^3.842)/(g1*g2) + g2*g3*t^4.562 + (g1^2*t^4.562)/(g3*g4) + g2*g4*t^4.562 + 3*g3*g4*t^4.562 + (g3^2*g4*t^4.562)/g2 + (g3*g4^2*t^4.562)/g2 + (g3^3*g4^3*t^4.562)/g1^2 + (3*t^5.754)/(g3^4*g4^4) - 4*t^6. - (g2*t^6.)/g3 - (g3*t^6.)/g2 - (g1^2*t^6.)/(g3^2*g4^2) - (g2*t^6.)/g4 - (g4*t^6.)/g2 - (g3^2*g4^2*t^6.)/g1^2 + t^7.438/(g2*g3) + (g1^2*t^7.438)/(g3^3*g4^3) + (g2*t^7.438)/(g3*g4^2) + t^7.438/(g2*g4) + (g2*t^7.438)/(g3^2*g4) + (3*t^7.438)/(g3*g4) + (g3*g4*t^7.438)/g1^2 + g1^2*g2^2*t^7.685 + g1^2*g2*g3*t^7.685 + g1^2*g3^2*t^7.685 + g1^2*g2*g4*t^7.685 + g1^2*g3*g4*t^7.685 + (g1^2*g3^2*g4*t^7.685)/g2 + g1^2*g4^2*t^7.685 + (g1^2*g3*g4^2*t^7.685)/g2 + (g1^2*g3^2*g4^2*t^7.685)/g2^2 + g2^2*g3^2*g4^2*t^7.685 + g2*g3^3*g4^2*t^7.685 + g3^4*g4^2*t^7.685 + g2*g3^2*g4^3*t^7.685 + g3^3*g4^3*t^7.685 + (g3^4*g4^3*t^7.685)/g2 + g3^2*g4^4*t^7.685 + (g3^3*g4^4*t^7.685)/g2 + (g3^4*g4^4*t^7.685)/g2^2 + (g2^2*g3^4*g4^4*t^7.685)/g1^2 + (g2*g3^5*g4^4*t^7.685)/g1^2 + (g3^6*g4^4*t^7.685)/g1^2 + (g2*g3^4*g4^5*t^7.685)/g1^2 + (g3^5*g4^5*t^7.685)/g1^2 + (g3^6*g4^5*t^7.685)/(g1^2*g2) + (g3^4*g4^6*t^7.685)/g1^2 + (g3^5*g4^6*t^7.685)/(g1^2*g2) + (g3^6*g4^6*t^7.685)/(g1^2*g2^2) + (g1^3*t^8.404)/g2 + (g1^3*t^8.404)/g3 + g1*g2^2*g3*t^8.404 + g1*g2*g3^2*t^8.404 + (g1^3*t^8.404)/g4 + (g1^3*g2*t^8.404)/(g3*g4) + g1*g2^2*g4*t^8.404 + 3*g1*g2*g3*g4*t^8.404 + 3*g1*g3^2*g4*t^8.404 + (g1*g3^3*g4*t^8.404)/g2 + g1*g2*g4^2*t^8.404 + 3*g1*g3*g4^2*t^8.404 + (3*g1*g3^2*g4^2*t^8.404)/g2 + (g1*g3^3*g4^2*t^8.404)/g2^2 + (g2^2*g3^3*g4^2*t^8.404)/g1 + (g2*g3^4*g4^2*t^8.404)/g1 + (g1*g3*g4^3*t^8.404)/g2 + (g1*g3^2*g4^3*t^8.404)/g2^2 + (g2^2*g3^2*g4^3*t^8.404)/g1 + (3*g2*g3^3*g4^3*t^8.404)/g1 + (3*g3^4*g4^3*t^8.404)/g1 + (g3^5*g4^3*t^8.404)/(g1*g2) + (g2*g3^2*g4^4*t^8.404)/g1 + (3*g3^3*g4^4*t^8.404)/g1 + (3*g3^4*g4^4*t^8.404)/(g1*g2) + (g3^5*g4^4*t^8.404)/(g1*g2^2) + (g3^3*g4^5*t^8.404)/(g1*g2) + (g3^4*g4^5*t^8.404)/(g1*g2^2) + (g2*g3^5*g4^5*t^8.404)/g1^3 + (g3^6*g4^5*t^8.404)/g1^3 + (g3^5*g4^6*t^8.404)/g1^3 + (g3^6*g4^6*t^8.404)/(g1^3*g2) + (4*t^8.631)/(g3^6*g4^6) - t^8.877/g1^2 - (g1^2*t^8.877)/(g3^4*g4^4) - (g2*t^8.877)/(g3^2*g4^3) - (g2*t^8.877)/(g3^3*g4^2) - (5*t^8.877)/(g3^2*g4^2) - t^8.877/(g2*g3*g4^2) - t^8.877/(g2*g3^2*g4) - t^4.438/(g3*g4*y) - (2*t^7.315)/(g3^3*g4^3*y) + (2*g3*g4*t^7.562)/y + t^8.754/(g3^4*g4^4*y) - (t^4.438*y)/(g3*g4) - (2*t^7.315*y)/(g3^3*g4^3) + 2*g3*g4*t^7.562*y + (t^8.754*y)/(g3^4*g4^4)

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
55451	SU2adj1nf3	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}\tilde{q}_{1}$	0.8602	1.0422	0.8254	[M:[0.7683], q:[0.6158, 0.6158, 0.732], qb:[0.732, 0.5801, 0.5801], phi:[0.536]]	t^2.305 + t^3.216 + t^3.481 + 4*t^3.588 + 4*t^3.936 + 4*t^4.044 + t^4.392 + t^4.61 + 3*t^5.089 + 4*t^5.196 + 3*t^5.303 + t^5.521 + t^5.786 - 9*t^6. - t^4.608/y - t^4.608*y	detail