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
47265	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$	0.6546	0.8215	0.7969	[X:[1.6145], M:[0.3855, 0.6986, 1.1566, 0.8434, 0.7153, 0.8434], q:[0.8713, 0.7432], qb:[0.4301, 0.4134], phi:[0.3855]]	[X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [-2, -4], [0, 3]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.096 + t^2.146 + t^2.313 + 2*t^2.53 + t^3.52 + t^3.637 + t^3.687 + t^3.737 + t^4.192 + t^4.242 + t^4.292 + t^4.409 + t^4.459 + 3*t^4.626 + 2*t^4.676 + 3*t^4.843 + 3*t^5.061 + t^5.616 + t^5.666 + t^5.733 + t^5.783 + 2*t^5.833 + t^5.883 - 2*t^6. + 2*t^6.05 + t^6.167 + t^6.217 + 2*t^6.267 + t^6.288 + t^6.338 + t^6.388 + t^6.438 + t^6.505 + t^6.555 + t^6.605 + 3*t^6.722 + 3*t^6.772 + 2*t^6.822 + 3*t^6.939 + 2*t^6.989 + t^7.04 - t^7.106 + 4*t^7.157 + 2*t^7.207 + t^7.257 + t^7.274 - t^7.324 + 3*t^7.374 + t^7.474 - t^7.541 + 3*t^7.591 + t^7.712 + t^7.762 + t^7.812 + t^7.829 + t^7.879 + 2*t^7.929 + 2*t^7.979 + t^8.029 - 3*t^8.096 + 2*t^8.196 + t^8.263 - 2*t^8.313 + 3*t^8.363 + t^8.384 + 2*t^8.413 + t^8.434 - t^8.48 + t^8.484 - 6*t^8.53 + t^8.534 + 3*t^8.58 + t^8.584 + t^8.601 + t^8.651 + t^8.701 + t^8.751 + 3*t^8.798 + 3*t^8.818 + 3*t^8.868 + 3*t^8.918 + 2*t^8.968 - t^4.157/y - t^6.252/y - t^6.303/y - t^6.47/y - t^6.687/y + t^7.242/y + t^7.409/y + t^7.459/y + (3*t^7.626)/y + (2*t^7.676)/y + (3*t^7.843)/y + t^8.011/y + (2*t^8.061)/y - t^8.348/y - t^8.398/y - t^8.449/y - t^8.566/y + t^8.666/y + t^8.733/y + (2*t^8.833)/y + t^8.883/y + t^8.95/y - t^4.157*y - t^6.252*y - t^6.303*y - t^6.47*y - t^6.687*y + t^7.242*y + t^7.409*y + t^7.459*y + 3*t^7.626*y + 2*t^7.676*y + 3*t^7.843*y + t^8.011*y + 2*t^8.061*y - t^8.348*y - t^8.398*y - t^8.449*y - t^8.566*y + t^8.666*y + t^8.733*y + 2*t^8.833*y + t^8.883*y + t^8.95*y	t^2.096/g2^7 + t^2.146/(g1^2*g2^4) + t^2.313/g2^2 + 2*g2^3*t^2.53 + t^3.52/g1^2 + (g1^2*t^3.637)/g2 + g2^2*t^3.687 + (g2^5*t^3.737)/g1^2 + t^4.192/g2^14 + t^4.242/(g1^2*g2^11) + t^4.292/(g1^4*g2^8) + t^4.409/g2^9 + t^4.459/(g1^2*g2^6) + (3*t^4.626)/g2^4 + (2*t^4.676)/(g1^2*g2) + 3*g2*t^4.843 + 3*g2^6*t^5.061 + t^5.616/(g1^2*g2^7) + t^5.666/(g1^4*g2^4) + (g1^2*t^5.733)/g2^8 + t^5.783/g2^5 + (2*t^5.833)/(g1^2*g2^2) + (g2*t^5.883)/g1^4 - 2*t^6. + (2*g2^3*t^6.05)/g1^2 + g1^2*g2^2*t^6.167 + g2^5*t^6.217 + (2*g2^8*t^6.267)/g1^2 + t^6.288/g2^21 + t^6.338/(g1^2*g2^18) + t^6.388/(g1^4*g2^15) + t^6.438/(g1^6*g2^12) + t^6.505/g2^16 + t^6.555/(g1^2*g2^13) + t^6.605/(g1^4*g2^10) + (3*t^6.722)/g2^11 + (3*t^6.772)/(g1^2*g2^8) + (2*t^6.822)/(g1^4*g2^5) + (3*t^6.939)/g2^6 + (2*t^6.989)/(g1^2*g2^3) + t^7.04/g1^4 - (g1^2*t^7.106)/g2^4 + (4*t^7.157)/g2 + (2*g2^2*t^7.207)/g1^2 + (g2^5*t^7.257)/g1^4 + (g1^4*t^7.274)/g2^2 - g1^2*g2*t^7.324 + 3*g2^4*t^7.374 + (g2^10*t^7.474)/g1^4 - g1^2*g2^6*t^7.541 + 3*g2^9*t^7.591 + t^7.712/(g1^2*g2^14) + t^7.762/(g1^4*g2^11) + t^7.812/(g1^6*g2^8) + (g1^2*t^7.829)/g2^15 + t^7.879/g2^12 + (2*t^7.929)/(g1^2*g2^9) + (2*t^7.979)/(g1^4*g2^6) + t^8.029/(g1^6*g2^3) - (3*t^8.096)/g2^7 + (2*t^8.196)/(g1^4*g2) + (g1^2*t^8.263)/g2^5 - (2*t^8.313)/g2^2 + (3*g2*t^8.363)/g1^2 + t^8.384/g2^28 + (2*g2^4*t^8.413)/g1^4 + t^8.434/(g1^2*g2^25) - g1^2*t^8.48 + t^8.484/(g1^4*g2^22) - 6*g2^3*t^8.53 + t^8.534/(g1^6*g2^19) + (3*g2^6*t^8.58)/g1^2 + t^8.584/(g1^8*g2^16) + t^8.601/g2^23 + t^8.651/(g1^2*g2^20) + t^8.701/(g1^4*g2^17) + t^8.751/(g1^6*g2^14) + (3*g2^11*t^8.798)/g1^2 + (3*t^8.818)/g2^18 + (3*t^8.868)/(g1^2*g2^15) + (3*t^8.918)/(g1^4*g2^12) + (2*t^8.968)/(g1^6*g2^9) - t^4.157/(g2*y) - t^6.252/(g2^8*y) - t^6.303/(g1^2*g2^5*y) - t^6.47/(g2^3*y) - (g2^2*t^6.687)/y + t^7.242/(g1^2*g2^11*y) + t^7.409/(g2^9*y) + t^7.459/(g1^2*g2^6*y) + (3*t^7.626)/(g2^4*y) + (2*t^7.676)/(g1^2*g2*y) + (3*g2*t^7.843)/y + (g1^2*g2^3*t^8.011)/y + (2*g2^6*t^8.061)/y - t^8.348/(g2^15*y) - t^8.398/(g1^2*g2^12*y) - t^8.449/(g1^4*g2^9*y) - t^8.566/(g2^10*y) + t^8.666/(g1^4*g2^4*y) + (g1^2*t^8.733)/(g2^8*y) + (2*t^8.833)/(g1^2*g2^2*y) + (g2*t^8.883)/(g1^4*y) + (g1^2*t^8.95)/(g2^3*y) - (t^4.157*y)/g2 - (t^6.252*y)/g2^8 - (t^6.303*y)/(g1^2*g2^5) - (t^6.47*y)/g2^3 - g2^2*t^6.687*y + (t^7.242*y)/(g1^2*g2^11) + (t^7.409*y)/g2^9 + (t^7.459*y)/(g1^2*g2^6) + (3*t^7.626*y)/g2^4 + (2*t^7.676*y)/(g1^2*g2) + 3*g2*t^7.843*y + g1^2*g2^3*t^8.011*y + 2*g2^6*t^8.061*y - (t^8.348*y)/g2^15 - (t^8.398*y)/(g1^2*g2^12) - (t^8.449*y)/(g1^4*g2^9) - (t^8.566*y)/g2^10 + (t^8.666*y)/(g1^4*g2^4) + (g1^2*t^8.733*y)/g2^8 + (2*t^8.833*y)/(g1^2*g2^2) + (g2*t^8.883*y)/g1^4 + (g1^2*t^8.95*y)/g2^3

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
55459	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{5}$	0.5831	0.734	0.7944	[X:[1.5732], M:[0.4268, 0.9873, 1.2803, 0.7197, 1.0127, 0.7197], q:[0.6401, 0.9331], qb:[0.3725, 0.3472], phi:[0.4268]]	2*t^2.159 + t^2.561 + t^2.962 + t^3.038 + t^3.363 + t^3.439 + t^3.516 + t^3.917 + 3*t^4.318 + 3*t^4.72 + 3*t^5.121 + 2*t^5.197 + 2*t^5.523 + 2*t^5.599 + 2*t^5.675 + t^5.924 - t^6. - t^4.28/y - t^4.28*y	detail
55626	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6543	0.8201	0.7978	[X:[1.615], M:[0.385, 0.6947, 1.1549, 0.8451, 0.7323, 0.8451], q:[0.8639, 0.7511], qb:[0.4414, 0.4038], phi:[0.385]]	t^2.084 + t^2.197 + t^2.31 + 2*t^2.535 + 2*t^3.577 + t^3.69 + t^3.803 + t^4.168 + t^4.281 + 2*t^4.394 + t^4.507 + 3*t^4.619 + 2*t^4.732 + 3*t^4.845 + 3*t^5.071 + 2*t^5.662 + 2*t^5.774 + 2*t^5.887 - t^6. - t^4.155/y - t^4.155*y	detail
55632	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6728	0.8544	0.7875	[X:[1.6159], M:[0.3841, 0.6889, 1.1524, 0.8476, 0.7107, 0.8476, 0.7683], q:[0.8764, 0.7395], qb:[0.4347, 0.4129], phi:[0.3841]]	t^2.067 + t^2.132 + 2*t^2.305 + 2*t^2.543 + t^3.523 + t^3.63 + t^3.761 + t^4.133 + t^4.199 + t^4.264 + 2*t^4.371 + 2*t^4.437 + 5*t^4.61 + 2*t^4.675 + 5*t^4.848 + 3*t^5.086 + t^5.589 + t^5.655 + t^5.696 + 2*t^5.827 + t^5.893 + t^5.935 - 3*t^6. - t^4.152/y - t^4.152*y	detail
55645	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.6741	0.8576	0.7861	[X:[1.6169], M:[0.3831, 0.6818, 1.1493, 0.8507, 0.724, 0.8507, 0.724], q:[0.8718, 0.7451], qb:[0.4464, 0.4042], phi:[0.3831]]	t^2.045 + 2*t^2.172 + t^2.299 + 2*t^2.552 + 2*t^3.575 + t^3.701 + t^4.091 + 2*t^4.217 + 4*t^4.344 + 2*t^4.471 + 3*t^4.597 + 4*t^4.724 + 3*t^4.851 + 3*t^5.104 + 2*t^5.62 + 4*t^5.747 + 2*t^5.873 - 2*t^6. - t^4.149/y - t^4.149*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
46678	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6414	0.7996	0.8022	[X:[1.6177], M:[0.3823, 0.676, 1.1468, 0.8532, 0.7046], q:[0.8831, 0.7346], qb:[0.4409, 0.4122], phi:[0.3823]]	t^2.028 + t^2.114 + t^2.294 + t^2.559 + t^3.441 + t^3.527 + t^3.62 + t^3.706 + t^3.792 + t^4.056 + t^4.142 + t^4.228 + t^4.322 + t^4.408 + 2*t^4.587 + t^4.673 + 2*t^4.853 + t^5.119 + t^5.468 + 2*t^5.554 + t^5.641 + t^5.648 + 2*t^5.734 + 2*t^5.82 + t^5.906 - t^6. - t^4.147/y - t^4.147*y	detail