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
55785	SU2adj1nf3	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}q_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{3}$	0.8187	0.9893	0.8276	[M:[0.698, 0.9517], q:[0.5294, 0.7726, 0.5189], qb:[0.7621, 0.7621, 0.7516], phi:[0.4758]]	[M:[[1, -3, -3, 1], [0, -2, -2, 0]], q:[[-1, 2, 2, 0], [0, 1, 1, -1], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, -1, -1, 0]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{3}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{1}$, ${ }q_{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}q_{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{3}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}q_{1}q_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{3}\tilde{q}_{3}$, ${ }M_{1}q_{3}\tilde{q}_{1}$, ${ }M_{1}q_{3}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{3}^{2}$	${}$	-4	t^2.094 + 2*t^2.855 + t^3.812 + 3*t^3.843 + 3*t^3.874 + t^4.188 + 3*t^4.541 + 3*t^4.573 + 3*t^4.604 + 2*t^4.949 + 3*t^5.71 + t^5.906 + 3*t^5.937 - 4*t^6. - 3*t^6.031 + t^6.282 + 3*t^6.635 + 3*t^6.667 + 3*t^6.698 - 2*t^6.761 + 2*t^7.043 + 3*t^7.396 + 3*t^7.427 + 3*t^7.459 + t^7.623 + 3*t^7.655 + 6*t^7.686 + 6*t^7.718 + 3*t^7.749 + 3*t^7.804 + t^8. + 3*t^8.031 - 4*t^8.094 - 3*t^8.126 + 3*t^8.353 + t^8.376 + 9*t^8.384 + 12*t^8.416 + 9*t^8.447 + 6*t^8.478 + 4*t^8.565 + 3*t^8.729 + 3*t^8.761 + 3*t^8.792 - 3*t^8.824 - 7*t^8.855 - 3*t^8.886 - t^4.427/y - t^6.522/y - (2*t^7.282)/y + (2*t^7.573)/y + (2*t^7.949)/y + t^8.333/y - t^8.616/y + t^8.71/y + t^8.906/y + (3*t^8.937)/y + (3*t^8.969)/y - t^4.427*y - t^6.522*y - 2*t^7.282*y + 2*t^7.573*y + 2*t^7.949*y + t^8.333*y - t^8.616*y + t^8.71*y + t^8.906*y + 3*t^8.937*y + 3*t^8.969*y	(g1*g4*t^2.094)/(g2^3*g3^3) + (2*t^2.855)/(g2^2*g3^2) + g1*g4*t^3.812 + g1*g2*t^3.843 + g1*g3*t^3.843 + (g2^2*g3^2*g4*t^3.843)/g1 + (g2^3*g3^2*t^3.874)/g1 + (g2^2*g3^3*t^3.874)/g1 + (g1*g2*g3*t^3.874)/g4 + (g1^2*g4^2*t^4.188)/(g2^6*g3^6) + (g1^2*t^4.541)/(g2*g3) + g2*g4*t^4.541 + g3*g4*t^4.541 + 3*g2*g3*t^4.573 + (g2^3*g3^3*t^4.604)/g1^2 + (g2^2*g3*t^4.604)/g4 + (g2*g3^2*t^4.604)/g4 + (2*g1*g4*t^4.949)/(g2^5*g3^5) + (3*t^5.71)/(g2^4*g3^4) + (g1^2*g4^2*t^5.906)/(g2^3*g3^3) + (g1^2*g4*t^5.937)/(g2^2*g3^3) + (g1^2*g4*t^5.937)/(g2^3*g3^2) + (g4^2*t^5.937)/(g2*g3) - 4*t^6. - (g2^2*g3^2*t^6.031)/g1^2 - (g2*t^6.031)/g4 - (g3*t^6.031)/g4 + (g1^3*g4^3*t^6.282)/(g2^9*g3^9) + (g1^3*g4*t^6.635)/(g2^4*g3^4) + (g1*g4^2*t^6.635)/(g2^2*g3^3) + (g1*g4^2*t^6.635)/(g2^3*g3^2) + (3*g1*g4*t^6.667)/(g2^2*g3^2) + (g1*t^6.698)/(g2*g3^2) + (g1*t^6.698)/(g2^2*g3) + (g4*t^6.698)/g1 - (2*g2*g3*t^6.761)/(g1*g4) + (2*g1^2*g4^2*t^7.043)/(g2^8*g3^8) + (g1^2*t^7.396)/(g2^3*g3^3) + (g4*t^7.396)/(g2*g3^2) + (g4*t^7.396)/(g2^2*g3) + (3*t^7.427)/(g2*g3) + (g2*g3*t^7.459)/g1^2 + t^7.459/(g2*g4) + t^7.459/(g3*g4) + g1^2*g4^2*t^7.623 + g1^2*g2*g4*t^7.655 + g1^2*g3*g4*t^7.655 + g2^2*g3^2*g4^2*t^7.655 + g1^2*g2^2*t^7.686 + g1^2*g2*g3*t^7.686 + g1^2*g3^2*t^7.686 + g2^3*g3^2*g4*t^7.686 + g2^2*g3^3*g4*t^7.686 + (g2^4*g3^4*g4^2*t^7.686)/g1^2 + g2^4*g3^2*t^7.718 + g2^2*g3^4*t^7.718 + (g1^2*g2^2*g3*t^7.718)/g4 + (g1^2*g2*g3^2*t^7.718)/g4 + (g2^5*g3^4*g4*t^7.718)/g1^2 + (g2^4*g3^5*g4*t^7.718)/g1^2 + (g2^6*g3^4*t^7.749)/g1^2 + (g2^4*g3^6*t^7.749)/g1^2 + (g1^2*g2^2*g3^2*t^7.749)/g4^2 + (3*g1*g4*t^7.804)/(g2^7*g3^7) + (g1^3*g4^3*t^8.)/(g2^6*g3^6) + (g1^3*g4^2*t^8.031)/(g2^5*g3^6) + (g1^3*g4^2*t^8.031)/(g2^6*g3^5) + (g1*g4^3*t^8.031)/(g2^4*g3^4) - (4*g1*g4*t^8.094)/(g2^3*g3^3) - (g1*t^8.126)/(g2^2*g3^3) - (g1*t^8.126)/(g2^3*g3^2) - (g4*t^8.126)/(g1*g2*g3) + (g1^3*g4*t^8.353)/(g2*g3) + g1*g2*g4^2*t^8.353 + g1*g3*g4^2*t^8.353 + (g1^4*g4^4*t^8.376)/(g2^12*g3^12) + (g1^3*t^8.384)/g2 + (g1^3*t^8.384)/g3 + g1*g2^2*g4*t^8.384 + 3*g1*g2*g3*g4*t^8.384 + g1*g3^2*g4*t^8.384 + (g2^3*g3^2*g4^2*t^8.384)/g1 + (g2^2*g3^3*g4^2*t^8.384)/g1 + 3*g1*g2^2*g3*t^8.416 + 3*g1*g2*g3^2*t^8.416 + (g1^3*t^8.416)/g4 + (g2^4*g3^2*g4*t^8.416)/g1 + (3*g2^3*g3^3*g4*t^8.416)/g1 + (g2^2*g3^4*g4*t^8.416)/g1 + (2*g2^4*g3^3*t^8.447)/g1 + (2*g2^3*g3^4*t^8.447)/g1 + (g1*g2^3*g3*t^8.447)/g4 + (2*g1*g2^2*g3^2*t^8.447)/g4 + (g1*g2*g3^3*t^8.447)/g4 + (g2^5*g3^5*g4*t^8.447)/g1^3 + (g2^6*g3^5*t^8.478)/g1^3 + (g2^5*g3^6*t^8.478)/g1^3 + (g1*g2^3*g3^2*t^8.478)/g4^2 + (g1*g2^2*g3^3*t^8.478)/g4^2 + (g2^5*g3^3*t^8.478)/(g1*g4) + (g2^3*g3^5*t^8.478)/(g1*g4) + (4*t^8.565)/(g2^6*g3^6) + (g1^4*g4^2*t^8.729)/(g2^7*g3^7) + (g1^2*g4^3*t^8.729)/(g2^5*g3^6) + (g1^2*g4^3*t^8.729)/(g2^6*g3^5) + (3*g1^2*g4^2*t^8.761)/(g2^5*g3^5) + (g1^2*g4*t^8.792)/(g2^4*g3^5) + (g1^2*g4*t^8.792)/(g2^5*g3^4) + (g4^2*t^8.792)/(g2^3*g3^3) - (g1^2*t^8.824)/(g2^4*g3^4) - (g4*t^8.824)/(g2^2*g3^3) - (g4*t^8.824)/(g2^3*g3^2) - (7*t^8.855)/(g2^2*g3^2) - t^8.886/g1^2 - t^8.886/(g2*g3^2*g4) - t^8.886/(g2^2*g3*g4) - t^4.427/(g2*g3*y) - (g1*g4*t^6.522)/(g2^4*g3^4*y) - (2*t^7.282)/(g2^3*g3^3*y) + (2*g2*g3*t^7.573)/y + (2*g1*g4*t^7.949)/(g2^5*g3^5*y) + (g2^2*g3^2*t^8.333)/(g1*g4*y) - (g1^2*g4^2*t^8.616)/(g2^7*g3^7*y) + t^8.71/(g2^4*g3^4*y) + (g1^2*g4^2*t^8.906)/(g2^3*g3^3*y) + (g1^2*g4*t^8.937)/(g2^2*g3^3*y) + (g1^2*g4*t^8.937)/(g2^3*g3^2*y) + (g4^2*t^8.937)/(g2*g3*y) + (g1^2*t^8.969)/(g2^2*g3^2*y) + (g4*t^8.969)/(g2*y) + (g4*t^8.969)/(g3*y) - (t^4.427*y)/(g2*g3) - (g1*g4*t^6.522*y)/(g2^4*g3^4) - (2*t^7.282*y)/(g2^3*g3^3) + 2*g2*g3*t^7.573*y + (2*g1*g4*t^7.949*y)/(g2^5*g3^5) + (g2^2*g3^2*t^8.333*y)/(g1*g4) - (g1^2*g4^2*t^8.616*y)/(g2^7*g3^7) + (t^8.71*y)/(g2^4*g3^4) + (g1^2*g4^2*t^8.906*y)/(g2^3*g3^3) + (g1^2*g4*t^8.937*y)/(g2^2*g3^3) + (g1^2*g4*t^8.937*y)/(g2^3*g3^2) + (g4^2*t^8.937*y)/(g2*g3) + (g1^2*t^8.969*y)/(g2^2*g3^2) + (g4*t^8.969*y)/g2 + (g4*t^8.969*y)/g3

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
55670	SU2adj1nf3	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}q_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.878	1.0728	0.8184	[M:[0.7561, 0.7561], q:[0.639, 0.6049, 0.6049], qb:[0.737, 0.737, 0.5735], phi:[0.5259]]	2*t^2.268 + t^3.155 + 2*t^3.535 + t^3.629 + t^3.637 + 2*t^3.932 + 4*t^4.026 + 2*t^4.128 + t^4.422 + 3*t^4.537 + t^5.019 + 2*t^5.113 + 3*t^5.207 + t^5.215 + 2*t^5.309 + t^5.412 + 2*t^5.424 + 3*t^5.803 - 7*t^6. - t^4.578/y - t^4.578*y	detail