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
2420	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6699	0.8489	0.7892	[X:[1.5685], M:[0.4315, 1.1895, 0.7842, 0.8631, 0.7054, 0.8631, 0.758], q:[0.7974, 0.7711], qb:[0.4447, 0.3658], phi:[0.4053]]	[X:[[12]], M:[[-12], [4], [6], [-24], [36], [-24], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.116 + t^2.274 + t^2.353 + t^2.432 + 2*t^2.589 + t^3.49 + t^3.568 + t^3.647 + t^4.233 + t^4.39 + t^4.469 + 2*t^4.548 + 2*t^4.627 + 5*t^4.705 + 4*t^4.863 + 2*t^4.942 + t^5.021 + 3*t^5.178 + t^5.606 + t^5.685 + t^5.764 + 3*t^5.842 + 2*t^5.921 - 2*t^6. + 2*t^6.079 + t^6.158 + t^6.349 + t^6.506 + t^6.585 + 2*t^6.664 + 2*t^6.743 + 6*t^6.822 + 2*t^6.901 + 6*t^6.979 + 4*t^7.058 + 5*t^7.137 + 2*t^7.216 + 8*t^7.295 - t^7.373 + 4*t^7.452 + 3*t^7.531 + t^7.61 + t^7.722 + 4*t^7.767 + t^7.801 + t^7.88 + 3*t^7.959 + 2*t^8.037 + 5*t^8.195 - t^8.274 - 2*t^8.353 + t^8.432 + t^8.465 + t^8.51 - 8*t^8.589 + t^8.623 + t^8.668 + t^8.702 + t^8.747 + 2*t^8.78 - t^8.826 + 2*t^8.859 + 6*t^8.938 - t^4.216/y - t^6.332/y - t^6.49/y - t^6.568/y - (2*t^6.805)/y + t^7.39/y + t^7.469/y + t^7.548/y + (3*t^7.627)/y + (3*t^7.705)/y + t^7.784/y + (3*t^7.863)/y + (3*t^7.942)/y + (2*t^8.021)/y + t^8.099/y + t^8.178/y - t^8.448/y + t^8.764/y + t^8.842/y - t^4.216*y - t^6.332*y - t^6.49*y - t^6.568*y - 2*t^6.805*y + t^7.39*y + t^7.469*y + t^7.548*y + 3*t^7.627*y + 3*t^7.705*y + t^7.784*y + 3*t^7.863*y + 3*t^7.942*y + 2*t^8.021*y + t^8.099*y + t^8.178*y - t^8.448*y + t^8.764*y + t^8.842*y	g1^36*t^2.116 + g1^16*t^2.274 + g1^6*t^2.353 + t^2.432/g1^4 + (2*t^2.589)/g1^24 + g1^14*t^3.49 + g1^4*t^3.568 + t^3.647/g1^6 + g1^72*t^4.233 + g1^52*t^4.39 + g1^42*t^4.469 + 2*g1^32*t^4.548 + 2*g1^22*t^4.627 + 5*g1^12*t^4.705 + (4*t^4.863)/g1^8 + (2*t^4.942)/g1^18 + t^5.021/g1^28 + (3*t^5.178)/g1^48 + g1^50*t^5.606 + g1^40*t^5.685 + g1^30*t^5.764 + 3*g1^20*t^5.842 + 2*g1^10*t^5.921 - 2*t^6. + (2*t^6.079)/g1^10 + t^6.158/g1^20 + g1^108*t^6.349 + g1^88*t^6.506 + g1^78*t^6.585 + 2*g1^68*t^6.664 + 2*g1^58*t^6.743 + 6*g1^48*t^6.822 + 2*g1^38*t^6.901 + 6*g1^28*t^6.979 + 4*g1^18*t^7.058 + 5*g1^8*t^7.137 + (2*t^7.216)/g1^2 + (8*t^7.295)/g1^12 - t^7.373/g1^22 + (4*t^7.452)/g1^32 + (3*t^7.531)/g1^42 + t^7.61/g1^52 + g1^86*t^7.722 + (4*t^7.767)/g1^72 + g1^76*t^7.801 + g1^66*t^7.88 + 3*g1^56*t^7.959 + 2*g1^46*t^8.037 + 5*g1^26*t^8.195 - g1^16*t^8.274 - 2*g1^6*t^8.353 + t^8.432/g1^4 + g1^144*t^8.465 + t^8.51/g1^14 - (8*t^8.589)/g1^24 + g1^124*t^8.623 + t^8.668/g1^34 + g1^114*t^8.702 + t^8.747/g1^44 + 2*g1^104*t^8.78 - t^8.826/g1^54 + 2*g1^94*t^8.859 + 6*g1^84*t^8.938 - t^4.216/(g1^2*y) - (g1^34*t^6.332)/y - (g1^14*t^6.49)/y - (g1^4*t^6.568)/y - (2*t^6.805)/(g1^26*y) + (g1^52*t^7.39)/y + (g1^42*t^7.469)/y + (g1^32*t^7.548)/y + (3*g1^22*t^7.627)/y + (3*g1^12*t^7.705)/y + (g1^2*t^7.784)/y + (3*t^7.863)/(g1^8*y) + (3*t^7.942)/(g1^18*y) + (2*t^8.021)/(g1^28*y) + t^8.099/(g1^38*y) + t^8.178/(g1^48*y) - (g1^70*t^8.448)/y + (g1^30*t^8.764)/y + (g1^20*t^8.842)/y - (t^4.216*y)/g1^2 - g1^34*t^6.332*y - g1^14*t^6.49*y - g1^4*t^6.568*y - (2*t^6.805*y)/g1^26 + g1^52*t^7.39*y + g1^42*t^7.469*y + g1^32*t^7.548*y + 3*g1^22*t^7.627*y + 3*g1^12*t^7.705*y + g1^2*t^7.784*y + (3*t^7.863*y)/g1^8 + (3*t^7.942*y)/g1^18 + (2*t^8.021*y)/g1^28 + (t^8.099*y)/g1^38 + (t^8.178*y)/g1^48 - g1^70*t^8.448*y + g1^30*t^8.764*y + g1^20*t^8.842*y

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
4460	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6873	0.8801	0.781	[X:[1.5666], M:[0.4334, 1.1889, 0.7833, 0.8669, 0.6997, 0.8669, 0.7554, 0.7833], q:[0.7972, 0.7693], qb:[0.4474, 0.3638], phi:[0.4056]]	t^2.099 + t^2.266 + 2*t^2.35 + t^2.433 + 2*t^2.601 + t^3.483 + t^3.567 + t^4.198 + t^4.365 + 2*t^4.449 + 2*t^4.532 + 3*t^4.616 + 7*t^4.7 + t^4.783 + 4*t^4.867 + 4*t^4.95 + t^5.034 + 3*t^5.201 + t^5.582 + t^5.666 + 4*t^5.833 + 2*t^5.916 - 3*t^6. - t^4.217/y - t^4.217*y	detail
4459	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6842	0.8731	0.7837	[X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8515, 0.7227, 0.8515, 0.7656, 0.8301], q:[0.7979, 0.7764], qb:[0.4365, 0.3721], phi:[0.4043]]	t^2.168 + t^2.297 + t^2.361 + t^2.426 + t^2.49 + 2*t^2.555 + t^3.574 + t^3.639 + t^4.336 + t^4.465 + t^4.529 + 2*t^4.594 + 3*t^4.658 + 5*t^4.723 + t^4.787 + 5*t^4.852 + 3*t^4.916 + 2*t^4.98 + 2*t^5.045 + 3*t^5.109 + t^5.742 + 2*t^5.871 + t^5.936 - 2*t^6. - t^4.213/y - t^4.213*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
1357	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$	0.6513	0.815	0.7992	[X:[1.5729], M:[0.4271, 1.191, 0.7864, 0.8542, 0.7187, 0.8542], q:[0.7977, 0.7752], qb:[0.4384, 0.3706], phi:[0.4045]]	t^2.156 + t^2.359 + t^2.427 + 2*t^2.563 + t^3.505 + t^3.573 + t^3.641 + t^3.708 + t^4.312 + t^4.515 + t^4.583 + t^4.651 + 4*t^4.719 + 2*t^4.854 + 2*t^4.922 + t^4.99 + 3*t^5.125 + t^5.661 + t^5.729 + 3*t^5.864 + t^5.932 - 2*t^6. - t^4.214/y - t^4.214*y	detail