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): 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): 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 symm + (conj.) (not completed) SU(9): 2 rank-2 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 Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational 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
1021	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6716	0.8726	0.7697	[M:[1.2148, 1.1074, 0.7852, 0.7852, 0.7148, 0.6778], q:[0.75, 0.4278], qb:[0.3574, 0.4648], phi:[0.5]]	[M:[[2], [1], [-2], [-2], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$	${}M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$	0	t^2.033 + t^2.144 + 2*t^2.356 + t^2.467 + t^3. + 2*t^3.322 + t^3.533 + t^3.644 + 2*t^4.067 + 2*t^4.178 + 2*t^4.289 + 2*t^4.389 + 3*t^4.5 + t^4.611 + 3*t^4.711 + 2*t^4.822 + t^4.933 + t^5.033 + t^5.144 + 4*t^5.356 + 3*t^5.467 + t^5.567 + 5*t^5.678 + 2*t^5.789 + t^5.889 + 2*t^6.1 + 2*t^6.211 + 2*t^6.322 + 4*t^6.422 + 2*t^6.433 + 5*t^6.533 + 7*t^6.644 + 3*t^6.745 + 2*t^6.755 + 5*t^6.856 + 3*t^6.967 + 6*t^7.067 + t^7.078 + 2*t^7.178 + 2*t^7.289 + 4*t^7.389 + t^7.4 + 3*t^7.5 + 2*t^7.6 + 3*t^7.611 + 7*t^7.711 + 6*t^7.822 + t^7.922 + 3*t^7.933 + 3*t^8.033 + 3*t^8.134 - t^8.144 + 4*t^8.245 + t^8.255 + t^8.356 + 4*t^8.456 + t^8.467 + 5*t^8.567 + 3*t^8.578 + 5*t^8.678 + 6*t^8.778 + 6*t^8.789 + 7*t^8.889 + 2*t^8.9 - t^4.5/y - t^6.533/y - t^6.644/y - t^6.856/y + (2*t^7.178)/y + (2*t^7.389)/y + (3*t^7.5)/y + t^7.611/y + t^7.711/y + t^7.822/y + t^8.033/y + (2*t^8.144)/y + (5*t^8.356)/y + (4*t^8.467)/y + (5*t^8.678)/y + (2*t^8.789)/y + t^8.889/y - t^4.5*y - t^6.533*y - t^6.644*y - t^6.856*y + 2*t^7.178*y + 2*t^7.389*y + 3*t^7.5*y + t^7.611*y + t^7.711*y + t^7.822*y + t^8.033*y + 2*t^8.144*y + 5*t^8.356*y + 4*t^8.467*y + 5*t^8.678*y + 2*t^8.789*y + t^8.889*y	t^2.033/g1^3 + g1^2*t^2.144 + (2*t^2.356)/g1^2 + g1^3*t^2.467 + t^3. + 2*g1*t^3.322 + t^3.533/g1^3 + g1^2*t^3.644 + (2*t^4.067)/g1^6 + (2*t^4.178)/g1 + 2*g1^4*t^4.289 + (2*t^4.389)/g1^5 + 3*t^4.5 + g1^5*t^4.611 + (3*t^4.711)/g1^4 + 2*g1*t^4.822 + g1^6*t^4.933 + t^5.033/g1^3 + g1^2*t^5.144 + (4*t^5.356)/g1^2 + 3*g1^3*t^5.467 + t^5.567/g1^6 + (5*t^5.678)/g1 + 2*g1^4*t^5.789 + t^5.889/g1^5 + (2*t^6.1)/g1^9 + (2*t^6.211)/g1^4 + 2*g1*t^6.322 + (4*t^6.422)/g1^8 + 2*g1^6*t^6.433 + (5*t^6.533)/g1^3 + 7*g1^2*t^6.644 + (3*t^6.745)/g1^7 + 2*g1^7*t^6.755 + (5*t^6.856)/g1^2 + 3*g1^3*t^6.967 + (6*t^7.067)/g1^6 + g1^8*t^7.078 + (2*t^7.178)/g1 + 2*g1^4*t^7.289 + (4*t^7.389)/g1^5 + g1^9*t^7.4 + 3*t^7.5 + (2*t^7.6)/g1^9 + 3*g1^5*t^7.611 + (7*t^7.711)/g1^4 + 6*g1*t^7.822 + t^7.922/g1^8 + 3*g1^6*t^7.933 + (3*t^8.033)/g1^3 + (3*t^8.134)/g1^12 - g1^2*t^8.144 + (4*t^8.245)/g1^7 + g1^7*t^8.255 + t^8.356/g1^2 + (4*t^8.456)/g1^11 + g1^3*t^8.467 + (5*t^8.567)/g1^6 + 3*g1^8*t^8.578 + (5*t^8.678)/g1 + (6*t^8.778)/g1^10 + 6*g1^4*t^8.789 + (7*t^8.889)/g1^5 + 2*g1^9*t^8.9 - t^4.5/y - t^6.533/(g1^3*y) - (g1^2*t^6.644)/y - t^6.856/(g1^2*y) + (2*t^7.178)/(g1*y) + (2*t^7.389)/(g1^5*y) + (3*t^7.5)/y + (g1^5*t^7.611)/y + t^7.711/(g1^4*y) + (g1*t^7.822)/y + t^8.033/(g1^3*y) + (2*g1^2*t^8.144)/y + (5*t^8.356)/(g1^2*y) + (4*g1^3*t^8.467)/y + (5*t^8.678)/(g1*y) + (2*g1^4*t^8.789)/y + t^8.889/(g1^5*y) - t^4.5*y - (t^6.533*y)/g1^3 - g1^2*t^6.644*y - (t^6.856*y)/g1^2 + (2*t^7.178*y)/g1 + (2*t^7.389*y)/g1^5 + 3*t^7.5*y + g1^5*t^7.611*y + (t^7.711*y)/g1^4 + g1*t^7.822*y + (t^8.033*y)/g1^3 + 2*g1^2*t^8.144*y + (5*t^8.356*y)/g1^2 + 4*g1^3*t^8.467*y + (5*t^8.678*y)/g1 + 2*g1^4*t^8.789*y + (t^8.889*y)/g1^5

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
2112	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6891	0.9042	0.7621	[M:[1.2208, 1.1104, 0.7792, 0.7792, 0.7208, 0.6688, 0.7792], q:[0.75, 0.4188], qb:[0.3604, 0.4708], phi:[0.5]]	t^2.006 + t^2.162 + 3*t^2.338 + t^2.494 + t^3. + 2*t^3.331 + t^3.506 + 2*t^4.013 + 2*t^4.169 + 2*t^4.325 + 3*t^4.344 + 4*t^4.5 + t^4.656 + 6*t^4.675 + 3*t^4.831 + t^4.987 + t^5.006 + t^5.162 + 5*t^5.338 + 3*t^5.494 + t^5.513 + 6*t^5.669 + t^5.825 + 2*t^5.844 - 2*t^6. - t^4.5/y - t^4.5*y	detail

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
639	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6508	0.8317	0.7826	[M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]]	t^2.141 + 2*t^2.359 + t^2.461 + t^3. + 2*t^3.32 + t^3.539 + t^3.641 + t^3.961 + t^4.078 + t^4.18 + 2*t^4.281 + 2*t^4.5 + t^4.602 + 3*t^4.719 + 2*t^4.82 + t^4.922 + t^5.141 + 2*t^5.359 + 3*t^5.461 + 4*t^5.68 + 2*t^5.781 + t^5.898 - t^4.5/y - t^4.5*y	detail