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
57351	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.427	1.6905	0.8441	[M:[0.7838], q:[0.4098, 0.3951], qb:[0.4065, 0.3887], phi:[0.4]]	[M:[[1, 2]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	1	2*t^2.351 + t^2.395 + t^2.4 + t^2.405 + t^2.449 + t^3.551 + t^3.595 + t^3.6 + t^3.605 + 3*t^4.703 + 2*t^4.747 + 4*t^4.751 + 2*t^4.756 + t^4.791 + 2*t^4.795 + 5*t^4.8 + 3*t^4.805 + t^4.809 + 2*t^4.844 + 2*t^4.849 + t^4.853 + t^4.897 + 2*t^5.903 + 2*t^5.947 + 4*t^5.951 + 2*t^5.956 + t^5.991 + 2*t^5.995 + t^6. + 3*t^6.005 + t^6.009 + t^6.044 + t^6.049 + 4*t^7.054 + 4*t^7.098 + 8*t^7.103 + 3*t^7.107 + 2*t^7.142 + 6*t^7.147 + 12*t^7.151 + 8*t^7.156 + 2*t^7.161 + t^7.186 + 3*t^7.191 + 7*t^7.195 + 10*t^7.2 + 8*t^7.205 + 4*t^7.209 + t^7.214 + 2*t^7.239 + 4*t^7.244 + 5*t^7.249 + 3*t^7.253 + 2*t^7.258 + t^7.288 + 2*t^7.293 + 2*t^7.297 + t^7.302 + t^7.346 + 3*t^8.254 + 3*t^8.298 + 8*t^8.303 + 3*t^8.307 + 2*t^8.342 + 6*t^8.347 + 3*t^8.351 + 7*t^8.356 + 2*t^8.361 + t^8.386 + 3*t^8.391 + 2*t^8.395 + 4*t^8.4 + 2*t^8.405 + 4*t^8.409 + t^8.414 + t^8.439 + 2*t^8.444 - 2*t^8.449 + t^8.453 + t^8.497 - t^4.2/y - t^5.4/y - (2*t^6.551)/y - t^6.595/y - t^6.6/y - t^6.605/y - t^6.649/y + t^7.703/y + (2*t^7.747)/y + (2*t^7.756)/y + (2*t^7.8)/y + t^7.844/y + t^7.849/y + t^7.853/y - t^8.903/y + t^8.947/y + t^8.956/y - t^4.2*y - t^5.4*y - 2*t^6.551*y - t^6.595*y - t^6.6*y - t^6.605*y - t^6.649*y + t^7.703*y + 2*t^7.747*y + 2*t^7.756*y + 2*t^7.8*y + t^7.844*y + t^7.849*y + t^7.853*y - t^8.903*y + t^8.947*y + t^8.956*y	2*g1*g2^2*t^2.351 + t^2.395/(g1^2*g2) + t^2.4 + g1^2*g2*t^2.405 + t^2.449/(g1*g2^2) + g1*g2^2*t^3.551 + t^3.595/(g1^2*g2) + t^3.6 + g1^2*g2*t^3.605 + 3*g1^2*g2^4*t^4.703 + (2*g2*t^4.747)/g1 + 4*g1*g2^2*t^4.751 + 2*g1^3*g2^3*t^4.756 + t^4.791/(g1^4*g2^2) + (2*t^4.795)/(g1^2*g2) + 5*t^4.8 + 3*g1^2*g2*t^4.805 + g1^4*g2^2*t^4.809 + (2*t^4.844)/(g1^3*g2^3) + (2*t^4.849)/(g1*g2^2) + (g1*t^4.853)/g2 + t^4.897/(g1^2*g2^4) + 2*g1^2*g2^4*t^5.903 + (2*g2*t^5.947)/g1 + 4*g1*g2^2*t^5.951 + 2*g1^3*g2^3*t^5.956 + t^5.991/(g1^4*g2^2) + (2*t^5.995)/(g1^2*g2) + t^6. + 3*g1^2*g2*t^6.005 + g1^4*g2^2*t^6.009 + t^6.044/(g1^3*g2^3) + t^6.049/(g1*g2^2) + 4*g1^3*g2^6*t^7.054 + 4*g2^3*t^7.098 + 8*g1^2*g2^4*t^7.103 + 3*g1^4*g2^5*t^7.107 + (2*t^7.142)/g1^3 + (6*g2*t^7.147)/g1 + 12*g1*g2^2*t^7.151 + 8*g1^3*g2^3*t^7.156 + 2*g1^5*g2^4*t^7.161 + t^7.186/(g1^6*g2^3) + (3*t^7.191)/(g1^4*g2^2) + (7*t^7.195)/(g1^2*g2) + 10*t^7.2 + 8*g1^2*g2*t^7.205 + 4*g1^4*g2^2*t^7.209 + g1^6*g2^3*t^7.214 + (2*t^7.239)/(g1^5*g2^4) + (4*t^7.244)/(g1^3*g2^3) + (5*t^7.249)/(g1*g2^2) + (3*g1*t^7.253)/g2 + 2*g1^3*t^7.258 + t^7.288/(g1^6*g2^6) + (2*t^7.293)/(g1^4*g2^5) + (2*t^7.297)/(g1^2*g2^4) + t^7.302/g2^3 + t^7.346/(g1^3*g2^6) + 3*g1^3*g2^6*t^8.254 + 3*g2^3*t^8.298 + 8*g1^2*g2^4*t^8.303 + 3*g1^4*g2^5*t^8.307 + (2*t^8.342)/g1^3 + (6*g2*t^8.347)/g1 + 3*g1*g2^2*t^8.351 + 7*g1^3*g2^3*t^8.356 + 2*g1^5*g2^4*t^8.361 + t^8.386/(g1^6*g2^3) + (3*t^8.391)/(g1^4*g2^2) + (2*t^8.395)/(g1^2*g2) + 4*t^8.4 + 2*g1^2*g2*t^8.405 + 4*g1^4*g2^2*t^8.409 + g1^6*g2^3*t^8.414 + t^8.439/(g1^5*g2^4) + (2*t^8.444)/(g1^3*g2^3) - (2*t^8.449)/(g1*g2^2) + (g1*t^8.453)/g2 + t^8.497/(g1^2*g2^4) - t^4.2/y - t^5.4/y - (2*g1*g2^2*t^6.551)/y - t^6.595/(g1^2*g2*y) - t^6.6/y - (g1^2*g2*t^6.605)/y - t^6.649/(g1*g2^2*y) + (g1^2*g2^4*t^7.703)/y + (2*g2*t^7.747)/(g1*y) + (2*g1^3*g2^3*t^7.756)/y + (2*t^7.8)/y + t^7.844/(g1^3*g2^3*y) + t^7.849/(g1*g2^2*y) + (g1*t^7.853)/(g2*y) - (g1^2*g2^4*t^8.903)/y + (g2*t^8.947)/(g1*y) + (g1^3*g2^3*t^8.956)/y - t^4.2*y - t^5.4*y - 2*g1*g2^2*t^6.551*y - (t^6.595*y)/(g1^2*g2) - t^6.6*y - g1^2*g2*t^6.605*y - (t^6.649*y)/(g1*g2^2) + g1^2*g2^4*t^7.703*y + (2*g2*t^7.747*y)/g1 + 2*g1^3*g2^3*t^7.756*y + 2*t^7.8*y + (t^7.844*y)/(g1^3*g2^3) + (t^7.849*y)/(g1*g2^2) + (g1*t^7.853*y)/g2 - g1^2*g2^4*t^8.903*y + (g2*t^8.947*y)/g1 + g1^3*g2^3*t^8.956*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
58435	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$	1.2101	1.4115	0.8573	[X:[1.423, 1.377], M:[0.977], q:[0.1333, 0.5333], qb:[0.4897, 0.4436], phi:[0.4]]	t^2.4 + 3*t^2.93 + t^3.07 + 2*t^3.6 + 3*t^4.13 + 3*t^4.27 + 3*t^4.8 + 5*t^5.33 + 3*t^5.47 + 5*t^5.86 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58431	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$	1.3244	1.5494	0.8548	[X:[1.4], M:[1.0], q:[0.2848, 0.4576], qb:[0.3152, 0.5424], phi:[0.4]]	t^2.32 + t^2.4 + t^2.48 + 2*t^3. + t^3.52 + t^3.6 + t^3.68 + 3*t^4.2 + t^4.28 + t^4.64 + 3*t^4.72 + 3*t^4.8 + 2*t^4.88 + t^4.96 + t^5.32 + 4*t^5.4 + 2*t^5.48 + t^5.84 + 3*t^5.92 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 233091/176000, c: 272691/176000, X1: 7/5, M1: 1, q1: 47/165, q2: 151/330, qb1: 52/165, qb2: 179/330, phi1: 2/5}
58451	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$	1.4105	1.6615	0.8489	[X:[], M:[0.7838, 1.2], q:[0.4098, 0.3951], qb:[0.4065, 0.3887], phi:[0.4]]	2*t^2.35 + 2*t^2.4 + t^2.45 + t^3.55 + 4*t^3.6 + 3*t^4.7 + 4*t^4.75 + 2*t^4.76 + t^4.79 + 7*t^4.8 + t^4.81 + 2*t^4.84 + 2*t^4.85 + t^4.9 + 2*t^5.9 + 7*t^5.95 + 2*t^5.96 + t^5.99 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58452	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4112	1.6637	0.8482	[X:[], M:[0.782, 1.1783], q:[0.3975, 0.4013], qb:[0.4205, 0.3808], phi:[0.4]]	t^2.33 + 2*t^2.35 + t^2.4 + t^2.45 + 2*t^3.53 + t^3.55 + t^3.6 + t^3.67 + t^4.67 + 2*t^4.68 + 3*t^4.69 + 2*t^4.73 + 4*t^4.75 + 2*t^4.79 + 4*t^4.8 + 2*t^4.85 + 2*t^4.87 + t^4.91 + 2*t^5.87 + 4*t^5.88 + 2*t^5.89 + 3*t^5.93 + 4*t^5.95 + 2*t^5.99 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58450	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	1.427	1.6905	0.8441	[X:[], M:[0.7839], q:[0.4107, 0.3946], qb:[0.4054, 0.3893], phi:[0.4]]	2*t^2.35 + 3*t^2.4 + t^2.45 + t^3.55 + 3*t^3.6 + 3*t^4.7 + 8*t^4.75 + 12*t^4.8 + 5*t^4.85 + t^4.9 + 2*t^5.9 + 8*t^5.95 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58443	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$	1.1616	1.3878	0.837	[X:[1.6], M:[0.7804], q:[0.6798, 0.2601], qb:[0.1399, 0.5202], phi:[0.4]]	2*t^2.34 + 2*t^2.4 + t^2.46 + t^3.54 + 4*t^3.6 + 3*t^4.68 + 5*t^4.74 + 9*t^4.8 + 3*t^4.86 + t^4.92 + 2*t^5.88 + 10*t^5.94 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58446	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$	1.3427	1.5827	0.8484	[X:[1.4], M:[0.7605], q:[0.293, 0.4535], qb:[0.5465, 0.307], phi:[0.4]]	2*t^2.28 + t^2.4 + t^2.52 + 2*t^3. + t^3.48 + t^3.6 + 3*t^4.2 + t^4.32 + 3*t^4.56 + 4*t^4.68 + 4*t^4.8 + 2*t^4.92 + t^5.04 + 3*t^5.28 + 4*t^5.4 + 2*t^5.52 + 2*t^5.76 + 4*t^5.88 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
47890	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.427	1.6906	0.8441	[M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]]	2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail