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
57448	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4107	1.662	0.8488	[M:[1.1779, 0.8], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]]	[M:[[1, 0, 1], [0, 0, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	5	t^2.334 + 4*t^2.4 + 2*t^3.534 + 2*t^3.6 + t^3.666 + t^4.668 + 5*t^4.734 + 2*t^4.767 + 12*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 8*t^5.934 + 2*t^5.967 + 5*t^6. + 2*t^6.033 + 2*t^6.066 + t^7.001 + 8*t^7.068 + 4*t^7.101 + 17*t^7.134 + 10*t^7.167 + 28*t^7.2 + 8*t^7.233 + 3*t^7.266 + 2*t^7.299 + t^7.332 + 2*t^8.201 + 10*t^8.268 + 4*t^8.301 + 20*t^8.334 + 8*t^8.367 + 8*t^8.4 + 4*t^8.433 + 3*t^8.466 + t^8.532 - t^4.2/y - t^5.4/y - t^6.534/y - (4*t^6.6)/y + (2*t^7.734)/y + (3*t^7.8)/y + t^8.868/y + (4*t^8.934)/y - t^4.2*y - t^5.4*y - t^6.534*y - 4*t^6.6*y + 2*t^7.734*y + 3*t^7.8*y + t^8.868*y + 4*t^8.934*y	g1*g3*t^2.334 + 2*t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + 2*g1*g3*t^3.534 + t^3.6/(g1*g2) + g1*g2*t^3.6 + t^3.666/(g1*g3) + g1^2*g3^2*t^4.668 + 3*g1*g3*t^4.734 + (g3*t^4.734)/g2 + g1^2*g2*g3*t^4.734 + (g1*t^4.767)/(g2*g3) + g2*g3^2*t^4.767 + 4*t^4.8 + t^4.8/(g1^2*g2^2) + (3*t^4.8)/(g1*g2) + 3*g1*g2*t^4.8 + g1^2*g2^2*t^4.8 + t^4.833/(g1*g2^2*g3^2) + g2^2*g3*t^4.833 + t^4.866/(g1*g3) + 2*g1^2*g3^2*t^5.868 + 4*g1*g3*t^5.934 + (2*g3*t^5.934)/g2 + 2*g1^2*g2*g3*t^5.934 + (g1*t^5.967)/(g2*g3) + g2*g3^2*t^5.967 - t^6. + t^6./(g1^2*g2^2) + (2*t^6.)/(g1*g2) + 2*g1*g2*t^6. + g1^2*g2^2*t^6. + t^6.033/(g1*g2^2*g3^2) + g2^2*g3*t^6.033 + (2*t^6.066)/(g1*g3) + g1^3*g3^3*t^7.001 + 6*g1^2*g3^2*t^7.068 + (g1*g3^2*t^7.068)/g2 + g1^3*g2*g3^2*t^7.068 + g1^3*t^7.101 + (g1^2*t^7.101)/g2 + g3^3*t^7.101 + g1*g2*g3^3*t^7.101 + 5*g1*g3*t^7.134 + (g3*t^7.134)/(g1*g2^2) + (5*g3*t^7.134)/g2 + 5*g1^2*g2*g3*t^7.134 + g1^3*g2^2*g3*t^7.134 + (g1^2*t^7.167)/g3 + t^7.167/(g2^2*g3) + (3*g1*t^7.167)/(g2*g3) + (g3^2*t^7.167)/g1 + 3*g2*g3^2*t^7.167 + g1*g2^2*g3^2*t^7.167 + 8*t^7.2 + t^7.2/(g1^3*g2^3) + (4*t^7.2)/(g1^2*g2^2) + (5*t^7.2)/(g1*g2) + 5*g1*g2*t^7.2 + 4*g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 + t^7.233/(g1^2*g2^3*g3^2) + (3*t^7.233)/(g1*g2^2*g3^2) + 3*g2^2*g3*t^7.233 + g1*g2^3*g3*t^7.233 + t^7.266/(g1*g3) + t^7.266/(g1^2*g2*g3) + (g2*t^7.266)/g3 + g2^3*t^7.299 + t^7.299/(g1^3*g2^3*g3^3) + t^7.332/(g1^2*g3^2) + 2*g1^3*g3^3*t^8.201 + 6*g1^2*g3^2*t^8.268 + (2*g1*g3^2*t^8.268)/g2 + 2*g1^3*g2*g3^2*t^8.268 + (2*g1^2*t^8.301)/g2 + 2*g1*g2*g3^3*t^8.301 + 4*g1*g3*t^8.334 + (2*g3*t^8.334)/(g1*g2^2) + (6*g3*t^8.334)/g2 + 6*g1^2*g2*g3*t^8.334 + 2*g1^3*g2^2*g3*t^8.334 + (g1^2*t^8.367)/g3 + (2*t^8.367)/(g2^2*g3) + (g1*t^8.367)/(g2*g3) + (g3^2*t^8.367)/g1 + g2*g3^2*t^8.367 + 2*g1*g2^2*g3^2*t^8.367 + t^8.4/(g1^3*g2^3) + (3*t^8.4)/(g1^2*g2^2) + 3*g1^2*g2^2*t^8.4 + g1^3*g2^3*t^8.4 + t^8.433/(g1^2*g2^3*g3^2) + t^8.433/(g1*g2^2*g3^2) + g2^2*g3*t^8.433 + g1*g2^3*g3*t^8.433 + t^8.466/(g1*g3) + t^8.466/(g1^2*g2*g3) + (g2*t^8.466)/g3 + t^8.532/(g1^2*g3^2) - t^4.2/y - t^5.4/y - (g1*g3*t^6.534)/y - (2*t^6.6)/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y + (g3*t^7.734)/(g2*y) + (g1^2*g2*g3*t^7.734)/y + t^7.8/y + t^7.8/(g1*g2*y) + (g1*g2*t^7.8)/y + (g1^2*g3^2*t^8.868)/y + (2*g3*t^8.934)/(g2*y) + (2*g1^2*g2*g3*t^8.934)/y - t^4.2*y - t^5.4*y - g1*g3*t^6.534*y - 2*t^6.6*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y + (g3*t^7.734*y)/g2 + g1^2*g2*g3*t^7.734*y + t^7.8*y + (t^7.8*y)/(g1*g2) + g1*g2*t^7.8*y + g1^2*g3^2*t^8.868*y + (2*g3*t^8.934*y)/g2 + 2*g1^2*g2*g3*t^8.934*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
60093	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.3948	1.6351	0.8531	[X:[], M:[1.1779, 0.8, 1.1779], q:[0.3998, 0.3998], qb:[0.4223, 0.3781], phi:[0.4]]	2*t^2.33 + 2*t^2.4 + 4*t^3.53 + 2*t^3.67 + 3*t^4.67 + 6*t^4.73 + t^4.74 + 5*t^4.8 + 3*t^4.87 + 7*t^5.87 + 8*t^5.93 + t^5.94 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
60680	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$	1.4103	1.661	0.8491	[X:[], M:[1.1896, 0.8], q:[0.4105, 0.3896], qb:[0.4, 0.4], phi:[0.4]]	2*t^2.37 + 2*t^2.4 + t^2.43 + 3*t^3.57 + 2*t^3.63 + 3*t^4.74 + 7*t^4.77 + 7*t^4.8 + 5*t^4.83 + t^4.86 + 5*t^5.94 + 7*t^5.97 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58847	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3319	1.5887	0.8384	[X:[], M:[1.0922, 0.8], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]]	t^2.08 + t^2.15 + 2*t^2.4 + t^2.65 + 2*t^3.28 + t^3.35 + 2*t^3.85 + 2*t^3.92 + t^4.15 + t^4.23 + t^4.3 + 3*t^4.48 + 3*t^4.55 + t^4.73 + 4*t^4.8 + 4*t^5.05 + 2*t^5.12 + t^5.3 + 2*t^5.35 + 3*t^5.43 + t^5.5 + 4*t^5.68 + 2*t^5.75 + 3*t^5.93 + 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
47906	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.3942	1.633	0.8537	[M:[1.1779], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]]	t^2.334 + 3*t^2.4 + 2*t^3.534 + 3*t^3.6 + t^3.666 + t^4.668 + 4*t^4.734 + 2*t^4.767 + 8*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 7*t^5.934 + 2*t^5.967 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail