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
2358	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$	0.7345	0.915	0.8027	[M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]]	[M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0], [2, 1]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$	${}$	-3	t^2.024 + t^2.498 + t^2.663 + 2*t^2.917 + t^3. + t^3.21 + t^3.419 + t^4.049 + t^4.312 + t^4.395 + t^4.478 + t^4.522 + t^4.649 + t^4.688 + t^4.732 + 2*t^4.815 + t^4.897 + 2*t^4.942 + t^4.98 + t^4.996 + t^5.024 + t^5.161 + t^5.234 + t^5.327 + 2*t^5.415 + t^5.444 + t^5.581 + t^5.708 + 2*t^5.834 + t^5.873 + t^5.917 - 3*t^6. + t^6.073 - t^6.083 + 2*t^6.127 - t^6.166 + t^6.21 + 2*t^6.337 + t^6.419 + t^6.546 + t^6.629 + t^6.673 + t^6.712 + t^6.756 + t^6.81 + 3*t^6.839 + t^6.922 + 2*t^6.966 + t^6.976 + t^7.004 + t^7.02 + t^7.049 + t^7.141 + t^7.147 + 2*t^7.23 + t^7.258 + 3*t^7.312 + t^7.351 + t^7.395 + 2*t^7.439 + t^7.468 + t^7.478 + t^7.493 + 2*t^7.566 + t^7.605 + t^7.643 + 2*t^7.649 + t^7.659 + 4*t^7.732 + t^7.815 + t^7.825 + 2*t^7.859 + 2*t^7.897 + 2*t^7.913 + t^7.942 + t^7.99 - 3*t^8.024 + t^8.068 + t^8.078 + t^8.097 - t^8.107 + 2*t^8.151 - t^8.161 - t^8.19 + t^8.205 + 2*t^8.234 + t^8.244 + 2*t^8.332 + 2*t^8.361 + t^8.371 + t^8.4 + t^8.444 - 3*t^8.498 + t^8.536 + t^8.571 - 2*t^8.581 + 2*t^8.625 + t^8.653 - 4*t^8.663 + t^8.698 + t^8.736 + 2*t^8.752 + t^8.78 + t^8.79 - t^8.829 + t^8.834 + 3*t^8.863 - 7*t^8.917 + t^8.946 + t^8.961 + 2*t^8.99 - t^4.395/y - t^6.419/y - t^6.893/y - t^7.058/y - t^7.312/y + t^7.478/y + t^7.522/y + t^7.688/y + t^7.732/y + t^7.897/y + (2*t^7.942)/y + t^8.024/y + t^8.161/y + t^8.234/y + t^8.371/y + (2*t^8.415)/y + t^8.498/y + (2*t^8.581)/y + t^8.663/y + t^8.708/y + t^8.834/y + t^8.873/y + (2*t^8.917)/y - t^4.395*y - t^6.419*y - t^6.893*y - t^7.058*y - t^7.312*y + t^7.478*y + t^7.522*y + t^7.688*y + t^7.732*y + t^7.897*y + 2*t^7.942*y + t^8.024*y + t^8.161*y + t^8.234*y + t^8.371*y + 2*t^8.415*y + t^8.498*y + 2*t^8.581*y + t^8.663*y + t^8.708*y + t^8.834*y + t^8.873*y + 2*t^8.917*y	t^2.024/g1^5 + g1^6*g2*t^2.498 + (g1^2*t^2.663)/g2 + 2*g1^2*g2*t^2.917 + t^3. + t^3.21/g1^2 + t^3.419/g1^4 + t^4.049/g1^10 + g1^3*g2*t^4.312 + g1*t^4.395 + t^4.478/(g1*g2) + g1*g2*t^4.522 + g1*g2^2*t^4.649 + t^4.688/(g1^3*g2) + (g2*t^4.732)/g1 + (2*t^4.815)/g1^3 + t^4.897/(g1^5*g2) + (2*g2*t^4.942)/g1^3 + t^4.98/(g1^7*g2^2) + g1^12*g2^2*t^4.996 + t^5.024/g1^5 + g1^8*t^5.161 + t^5.234/g1^7 + (g1^4*t^5.327)/g2^2 + 2*g1^8*g2^2*t^5.415 + t^5.444/g1^9 + g1^4*t^5.581 + g1^4*g2*t^5.708 + 2*g1^4*g2^2*t^5.834 + t^5.873/g2 + g1^2*g2*t^5.917 - 3*t^6. + t^6.073/g1^15 - t^6.083/(g1^2*g2) + 2*g2*t^6.127 - t^6.166/(g1^4*g2^2) + t^6.21/g1^2 + (2*g2*t^6.337)/g1^2 + t^6.419/g1^4 + (g2*t^6.546)/g1^4 + t^6.629/g1^6 + (g2^2*t^6.673)/g1^4 + t^6.712/(g1^8*g2) + (g2*t^6.756)/g1^6 + g1^9*g2^2*t^6.81 + (3*t^6.839)/g1^8 + t^6.922/(g1^10*g2) + (2*g2*t^6.966)/g1^8 + g1^5*t^6.976 + t^7.004/(g1^12*g2^2) + g1^7*g2^2*t^7.02 + t^7.049/g1^10 + (g1*t^7.141)/g2^2 + g1^7*g2^3*t^7.147 + 2*g1^5*g2^2*t^7.23 + t^7.258/g1^12 + 3*g1^3*g2*t^7.312 + t^7.351/(g1*g2^2) + g1*t^7.395 + 2*g1^3*g2^2*t^7.439 + t^7.468/g1^14 + t^7.478/(g1*g2) + g1^18*g2^3*t^7.493 + 2*g1^3*g2^3*t^7.566 + t^7.605/g1 + t^7.643/(g1^5*g2^3) + 2*g1*g2^2*t^7.649 + g1^14*g2*t^7.659 + (4*g2*t^7.732)/g1 + t^7.815/g1^3 + (g1^10*t^7.825)/g2 + (2*g2^2*t^7.859)/g1 + (2*t^7.897)/(g1^5*g2) + 2*g1^14*g2^3*t^7.913 + (g2*t^7.942)/g1^3 + (g1^6*t^7.99)/g2^3 - (3*t^8.024)/g1^5 + (g2^2*t^8.068)/g1^3 + g1^10*g2*t^8.078 + t^8.097/g1^20 - t^8.107/(g1^7*g2) + (2*g2*t^8.151)/g1^5 - g1^8*t^8.161 - t^8.19/(g1^9*g2^2) + g1^10*g2^2*t^8.205 + (2*t^8.234)/g1^7 + (g1^6*t^8.244)/g2 + 2*g1^10*g2^3*t^8.332 + (2*g2*t^8.361)/g1^7 + g1^6*t^8.371 + t^8.4/(g1^11*g2^2) + t^8.444/g1^9 - 3*g1^6*g2*t^8.498 + (g1^2*t^8.536)/g2^2 + (g2*t^8.571)/g1^9 - 2*g1^4*t^8.581 + 2*g1^6*g2^2*t^8.625 + t^8.653/g1^11 - (4*g1^2*t^8.663)/g2 + (g2^2*t^8.698)/g1^9 + t^8.736/(g1^13*g2) + 2*g1^6*g2^3*t^8.752 + (g2*t^8.78)/g1^11 + g1^2*t^8.79 - t^8.829/(g1^2*g2^3) + g1^4*g2^2*t^8.834 + (3*t^8.863)/g1^13 - 7*g1^2*g2*t^8.917 + t^8.946/(g1^15*g2) + g1^4*g2^3*t^8.961 + (2*g2*t^8.99)/g1^13 - (g1*t^4.395)/y - t^6.419/(g1^4*y) - (g1^7*g2*t^6.893)/y - (g1^3*t^7.058)/(g2*y) - (g1^3*g2*t^7.312)/y + t^7.478/(g1*g2*y) + (g1*g2*t^7.522)/y + t^7.688/(g1^3*g2*y) + (g2*t^7.732)/(g1*y) + t^7.897/(g1^5*g2*y) + (2*g2*t^7.942)/(g1^3*y) + t^8.024/(g1^5*y) + (g1^8*t^8.161)/y + t^8.234/(g1^7*y) + (g1^6*t^8.371)/y + (2*g1^8*g2^2*t^8.415)/y + (g1^6*g2*t^8.498)/y + (2*g1^4*t^8.581)/y + (g1^2*t^8.663)/(g2*y) + (g1^4*g2*t^8.708)/y + (g1^4*g2^2*t^8.834)/y + t^8.873/(g2*y) + (2*g1^2*g2*t^8.917)/y - g1*t^4.395*y - (t^6.419*y)/g1^4 - g1^7*g2*t^6.893*y - (g1^3*t^7.058*y)/g2 - g1^3*g2*t^7.312*y + (t^7.478*y)/(g1*g2) + g1*g2*t^7.522*y + (t^7.688*y)/(g1^3*g2) + (g2*t^7.732*y)/g1 + (t^7.897*y)/(g1^5*g2) + (2*g2*t^7.942*y)/g1^3 + (t^8.024*y)/g1^5 + g1^8*t^8.161*y + (t^8.234*y)/g1^7 + g1^6*t^8.371*y + 2*g1^8*g2^2*t^8.415*y + g1^6*g2*t^8.498*y + 2*g1^4*t^8.581*y + (g1^2*t^8.663*y)/g2 + g1^4*g2*t^8.708*y + g1^4*g2^2*t^8.834*y + (t^8.873*y)/g2 + 2*g1^2*g2*t^8.917*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
4355	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$	0.7026	0.874	0.8039	[M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]]	t^2.06 + t^2.226 + t^2.571 + 2*t^2.917 + t^3. + t^3.429 + t^3.857 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + t^4.632 + t^4.797 + 3*t^4.977 + t^5.06 + 4*t^5.143 + t^5.226 + t^5.308 + 3*t^5.489 + t^5.571 + t^5.654 + 2*t^5.834 + t^5.917 - 2*t^6. - t^4.286/y - t^4.286*y	detail
4357	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{4}^{2}$	0.7332	0.912	0.804	[M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748, 1.0], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]]	t^2.024 + 2*t^2.581 + 3*t^3. + t^3.21 + t^3.419 + t^4.049 + 3*t^4.395 + 2*t^4.605 + 6*t^4.815 + 3*t^5.024 + 3*t^5.161 + t^5.234 + t^5.444 + 3*t^5.581 + 2*t^5.79 - 2*t^6. - t^4.395/y - t^4.395*y	detail
4356	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7243	0.8996	0.8051	[M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]]	t^2.251 + t^2.333 + t^2.416 + 2*t^2.917 + t^3. + t^3.333 + t^3.667 + t^4.251 + t^4.333 + t^4.416 + t^4.501 + t^4.584 + 2*t^4.667 + t^4.749 + t^4.832 + t^4.834 + t^4.917 + 2*t^5. + t^5.083 + t^5.166 + 2*t^5.168 + 2*t^5.251 + 2*t^5.333 + t^5.584 + t^5.667 + t^5.749 + 2*t^5.834 + t^5.917 - 2*t^6. - t^4.333/y - t^4.333*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
1314	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7332	0.912	0.804	[M:[0.8602, 1.0699, 1.0, 1.0, 0.8602, 1.0, 0.6748], q:[0.5699, 0.5699], qb:[0.4301, 0.5699], phi:[0.465]]	t^2.024 + 2*t^2.581 + 3*t^3. + t^3.21 + t^3.419 + t^4.049 + 3*t^4.395 + 2*t^4.605 + 6*t^4.815 + 3*t^5.024 + 3*t^5.161 + t^5.234 + t^5.444 + 3*t^5.581 + 2*t^5.79 - 2*t^6. - t^4.395/y - t^4.395*y	detail