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
57395	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4465	1.6315	0.8866	[X:[1.3496], M:[0.9174, 1.0244], q:[0.4967, 0.4632], qb:[0.586, 0.5029], phi:[0.3252]]	[X:[[0, 0, 4]], M:[[1, 2, -12], [0, 0, 6]], q:[[-1, -1, 11], [1, 0, 0]], qb:[[0, -1, 1], [0, 2, 0]], phi:[[0, 0, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	${}$	-3	t^2.752 + t^2.898 + t^2.999 + t^3.073 + t^3.148 + t^3.874 + t^3.974 + t^4.049 + t^4.123 + t^4.224 + t^4.85 + t^4.95 + t^5.099 + t^5.199 + t^5.245 + t^5.345 + t^5.504 + t^5.65 + t^5.751 + t^5.797 + t^5.825 + t^5.897 + t^5.971 + t^5.997 - 3*t^6. + t^6.046 + t^6.072 - t^6.1 + 2*t^6.146 + 2*t^6.221 - t^6.249 + t^6.295 + t^6.321 + t^6.626 + t^6.726 + t^6.772 + t^6.801 + 2*t^6.872 + 2*t^6.947 + t^6.973 - t^6.976 + 2*t^7.022 + 2*t^7.047 - t^7.076 + t^7.096 + 3*t^7.122 + 3*t^7.196 + t^7.222 - t^7.225 + t^7.271 + 2*t^7.297 + t^7.397 + t^7.453 + t^7.602 + t^7.702 + 2*t^7.748 - t^7.776 + 3*t^7.848 - t^7.877 + t^7.923 + 2*t^7.948 + 3*t^7.997 + t^8.023 - t^8.052 + 4*t^8.097 + t^8.143 + t^8.172 + t^8.198 + 2*t^8.244 + t^8.246 + t^8.256 + t^8.272 + t^8.318 + t^8.344 + t^8.393 + t^8.403 + t^8.418 + t^8.493 + t^8.549 + t^8.577 - t^8.603 + t^8.649 + t^8.695 + 2*t^8.723 + t^8.749 - 4*t^8.752 + t^8.795 + 3*t^8.824 - 2*t^8.852 + t^8.87 + t^8.895 - 2*t^8.898 + t^8.924 + t^8.927 + t^8.944 + t^8.97 + 2*t^8.973 + t^8.996 - 4*t^8.999 + t^8.927/y^2 - t^3.976/y - t^4.951/y - t^6.728/y - t^6.874/y - t^6.974/y - t^7.049/y - t^7.123/y - t^7.703/y - t^7.85/y - t^7.95/y - t^8.024/y - t^8.099/y + t^8.65/y + t^8.751/y + t^8.897/y + t^8.9/y - t^8.925/y + t^8.971/y - t^3.976*y - t^4.951*y - t^6.728*y - t^6.874*y - t^6.974*y - t^7.049*y - t^7.123*y - t^7.703*y - t^7.85*y - t^7.95*y - t^8.024*y - t^8.099*y + t^8.65*y + t^8.751*y + t^8.897*y + t^8.9*y - t^8.925*y + t^8.971*y + t^8.927*y^2	(g1*g2^2*t^2.752)/g3^12 + g1*g2^2*t^2.898 + (g2*g3^11*t^2.999)/g1 + g3^6*t^3.073 + (g1*g3*t^3.148)/g2 + (g1*g2^2*t^3.874)/g3^2 + (g2*g3^9*t^3.974)/g1 + g3^4*t^4.049 + (g1*t^4.123)/(g2*g3) + (g3^10*t^4.224)/(g1*g2^2) + (g1*g2^2*t^4.85)/g3^4 + (g2*g3^7*t^4.95)/g1 + (g1*t^5.099)/(g2*g3^3) + (g3^8*t^5.199)/(g1*g2^2) + (g1*g3^9*t^5.245)/g2 + (g3^20*t^5.345)/(g1*g2^2) + (g1^2*g2^4*t^5.504)/g3^24 + (g1^2*g2^4*t^5.65)/g3^12 + (g2^3*t^5.751)/g3 + g1^2*g2^4*t^5.797 + (g1*g2^2*t^5.825)/g3^6 + g2^3*g3^11*t^5.897 + g1*g2^2*g3^6*t^5.971 + (g2^2*g3^22*t^5.997)/g1^2 - 3*t^6. + g1^2*g2*g3*t^6.046 + (g2*g3^17*t^6.072)/g1 - (g3^11*t^6.1)/(g1^2*g2) + 2*g3^12*t^6.146 + (2*g1*g3^7*t^6.221)/g2 - (g3*t^6.249)/g2^3 + (g1^2*g3^2*t^6.295)/g2^2 + (g3^18*t^6.321)/(g1*g2^2) + (g1^2*g2^4*t^6.626)/g3^14 + (g2^3*t^6.726)/g3^3 + (g1^2*g2^4*t^6.772)/g3^2 + (g1*g2^2*t^6.801)/g3^8 + 2*g2^3*g3^9*t^6.872 + 2*g1*g2^2*g3^4*t^6.947 + (g2^2*g3^20*t^6.973)/g1^2 - t^6.976/g3^2 + (2*g1^2*g2*t^7.022)/g3 + (2*g2*g3^15*t^7.047)/g1 - (g3^9*t^7.076)/(g1^2*g2) + (g1^3*t^7.096)/g3^6 + 3*g3^10*t^7.122 + (3*g1*g3^5*t^7.196)/g2 + (g3^21*t^7.222)/(g1^2*g2) - t^7.225/(g2^3*g3) + (g1^2*t^7.271)/g2^2 + (2*g3^16*t^7.297)/(g1*g2^2) + (g3^27*t^7.397)/(g1^3*g2^3) + (g2^6*t^7.453)/g3^6 + (g1^2*g2^4*t^7.602)/g3^16 + (g2^3*t^7.702)/g3^5 + (2*g1^2*g2^4*t^7.748)/g3^4 - (g1*g2^2*t^7.776)/g3^10 + 3*g2^3*g3^7*t^7.848 - (g2*g3*t^7.877)/g1 + g1*g2^2*g3^2*t^7.923 + (2*g2^2*g3^18*t^7.948)/g1^2 + (3*g1^2*g2*t^7.997)/g3^3 + (g2*g3^13*t^8.023)/g1 - (g3^7*t^8.052)/(g1^2*g2) + 4*g3^8*t^8.097 + g1^2*g2*g3^9*t^8.143 + (g1*g3^3*t^8.172)/g2 + (g3^19*t^8.198)/(g1^2*g2) + 2*g3^20*t^8.244 + (g1^2*t^8.246)/(g2^2*g3^2) + (g1^3*g2^6*t^8.256)/g3^36 + (g3^14*t^8.272)/(g1*g2^2) + (g1*g3^15*t^8.318)/g2 + (g3^31*t^8.344)/(g1^2*g2) + (g1^2*g3^10*t^8.393)/g2^2 + (g1^3*g2^6*t^8.403)/g3^24 + (g3^26*t^8.418)/(g1*g2^2) + (g3^21*t^8.493)/g2^3 + (g1^3*g2^6*t^8.549)/g3^12 + (g1^2*g2^4*t^8.577)/g3^18 - (g2^4*t^8.603)/(g1*g3^2) + (g1*g2^5*t^8.649)/g3 + g1^3*g2^6*t^8.695 + (2*g1^2*g2^4*t^8.723)/g3^6 + (g2^4*g3^10*t^8.749)/g1 - (4*g1*g2^2*t^8.752)/g3^12 + g1*g2^5*g3^11*t^8.795 + 3*g2^3*g3^5*t^8.824 - (2*g2*t^8.852)/(g1*g3) + g1^2*g2^4*g3^6*t^8.87 + (g2^4*g3^22*t^8.895)/g1 - 2*g1*g2^2*t^8.898 + (g2^2*g3^16*t^8.924)/g1^2 + t^8.927/g3^6 + g1^3*g2^3*g3*t^8.944 + g2^3*g3^17*t^8.97 + (2*g1^2*g2*t^8.973)/g3^5 + (g2^3*g3^33*t^8.996)/g1^3 - (4*g2*g3^11*t^8.999)/g1 + t^8.927/(g3^6*y^2) - t^3.976/(g3^2*y) - t^4.951/(g3^4*y) - (g1*g2^2*t^6.728)/(g3^14*y) - (g1*g2^2*t^6.874)/(g3^2*y) - (g2*g3^9*t^6.974)/(g1*y) - (g3^4*t^7.049)/y - (g1*t^7.123)/(g2*g3*y) - (g1*g2^2*t^7.703)/(g3^16*y) - (g1*g2^2*t^7.85)/(g3^4*y) - (g2*g3^7*t^7.95)/(g1*y) - (g3^2*t^8.024)/y - (g1*t^8.099)/(g2*g3^3*y) + (g1^2*g2^4*t^8.65)/(g3^12*y) + (g2^3*t^8.751)/(g3*y) + (g2^3*g3^11*t^8.897)/y + (g1^2*g2*t^8.9)/(g3^11*y) - (g2*g3^5*t^8.925)/(g1*y) + (g1*g2^2*g3^6*t^8.971)/y - (t^3.976*y)/g3^2 - (t^4.951*y)/g3^4 - (g1*g2^2*t^6.728*y)/g3^14 - (g1*g2^2*t^6.874*y)/g3^2 - (g2*g3^9*t^6.974*y)/g1 - g3^4*t^7.049*y - (g1*t^7.123*y)/(g2*g3) - (g1*g2^2*t^7.703*y)/g3^16 - (g1*g2^2*t^7.85*y)/g3^4 - (g2*g3^7*t^7.95*y)/g1 - g3^2*t^8.024*y - (g1*t^8.099*y)/(g2*g3^3) + (g1^2*g2^4*t^8.65*y)/g3^12 + (g2^3*t^8.751*y)/g3 + g2^3*g3^11*t^8.897*y + (g1^2*g2*t^8.9*y)/g3^11 - (g2*g3^5*t^8.925*y)/g1 + g1*g2^2*g3^6*t^8.971*y + (t^8.927*y^2)/g3^6

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
58541	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	1.4673	1.6726	0.8773	[X:[1.3501], M:[0.9167, 1.0251, 0.6733], q:[0.4977, 0.4629], qb:[0.5855, 0.504], phi:[0.325]]	t^2.02 + t^2.75 + t^2.9 + t^3.01 + t^3.08 + t^3.15 + t^3.88 + t^4.04 + t^4.05 + t^4.12 + t^4.22 + t^4.77 + t^4.85 + t^4.92 + t^4.96 + t^5.03 + 2*t^5.1 + t^5.17 + t^5.2 + t^5.25 + t^5.35 + t^5.5 + t^5.65 + t^5.76 + t^5.8 + t^5.83 + t^5.9 + t^5.91 + t^5.98 - 3*t^6. - t^3.97/y - t^4.95/y - t^5.99/y - t^3.97*y - t^4.95*y - t^5.99*y	detail
58540	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	1.4494	1.632	0.8881	[X:[1.366], M:[0.8965, 1.049, 0.9369], q:[0.529, 0.4605], qb:[0.5745, 0.5341], phi:[0.317]]	t^2.69 + t^2.81 + t^2.98 + t^3.11 + t^3.15 + t^3.93 + t^4.06 + t^4.1 + t^4.14 + t^4.26 + t^4.89 + t^5.01 + t^5.09 + t^5.21 + t^5.3 + t^5.38 + t^5.5 + t^5.51 + t^5.62 + t^5.67 + t^5.79 + t^5.84 + t^5.92 + t^5.96 + t^5.97 - 3*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y	detail
58539	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4417	1.6211	0.8893	[X:[1.3578], M:[0.9461, 1.0366], q:[0.4942, 0.4598], qb:[0.5596, 0.5596], phi:[0.3211]]	t^2.84 + 2*t^3.06 + t^3.11 + t^3.16 + 2*t^4.02 + t^4.07 + 2*t^4.12 + 2*t^4.98 + 2*t^5.09 + t^5.2 + t^5.31 + t^5.68 + t^5.9 + t^5.95 - 3*t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y	detail
58537	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.3264	1.4955	0.8869	[X:[1.3828], M:[0.9221, 1.0742], q:[0.41, 0.7149], qb:[0.6679, 0.3557], phi:[0.3086]]	t^2.3 + t^2.77 + t^3.21 + 2*t^3.22 + t^4.14 + 3*t^4.15 + t^4.16 + t^4.59 + 2*t^5.06 + t^5.07 + t^5.51 + 2*t^5.52 + 2*t^5.53 + 2*t^5.98 + 2*t^5.99 - 2*t^6. - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*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
47897	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.4497	1.6322	0.8882	[X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]]	t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y	detail