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
160	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	0.6567	0.843	0.7791	[M:[1.1525, 0.6949, 0.6728], q:[0.75, 0.4246], qb:[0.4228, 0.4025], phi:[0.5]]	[M:[[0, 1], [0, -2], [1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.019 + t^2.085 + t^2.476 + t^2.481 + t^3. + 2*t^3.458 + t^3.519 + t^3.524 + t^3.976 + 2*t^4.037 + t^4.042 + t^4.048 + t^4.103 + t^4.169 + t^4.495 + t^4.5 + t^4.561 + t^4.566 + t^4.952 + t^4.958 + t^4.963 + t^5.019 + t^5.085 + 3*t^5.476 + t^5.481 + t^5.537 + 3*t^5.542 + t^5.603 + t^5.609 + t^5.934 + t^5.939 + t^5.995 - t^6. + 2*t^6.056 + t^6.061 + 2*t^6.122 + t^6.127 + t^6.132 + t^6.188 + t^6.254 + t^6.452 + t^6.458 + 2*t^6.513 + 2*t^6.519 + t^6.524 + t^6.529 + t^6.579 + t^6.585 + t^6.646 + t^6.651 + 2*t^6.915 + t^6.971 + 2*t^6.976 + t^6.981 + 3*t^7.037 + t^7.042 + 2*t^7.048 + t^7.103 + t^7.169 + t^7.428 + t^7.434 - t^7.439 + t^7.444 + 4*t^7.495 + 2*t^7.556 + 4*t^7.561 + t^7.566 + t^7.572 + t^7.622 + 3*t^7.627 + t^7.688 + t^7.693 + 2*t^7.952 + 2*t^8.013 - t^8.019 + 3*t^8.074 + 2*t^8.079 + t^8.09 + t^8.095 + 2*t^8.14 + t^8.146 + 2*t^8.207 + t^8.212 + t^8.217 + t^8.273 + t^8.339 + t^8.41 + t^8.421 + t^8.471 - t^8.476 - 2*t^8.481 + 2*t^8.532 + 2*t^8.537 + 2*t^8.598 + 2*t^8.603 + t^8.609 + t^8.614 + t^8.664 + t^8.669 + t^8.73 + t^8.736 + t^8.928 + 2*t^8.934 + 2*t^8.989 + 2*t^8.995 - t^4.5/y - t^6.519/y - t^6.585/y + t^7.042/y + t^7.103/y + t^7.495/y + t^7.5/y + t^7.561/y + t^7.566/y + t^8.019/y + t^8.085/y + t^8.415/y + (3*t^8.476)/y + (2*t^8.481)/y + (3*t^8.542)/y + t^8.609/y - t^8.669/y + (2*t^8.934)/y + (2*t^8.939)/y + (2*t^8.995)/y - t^4.5*y - t^6.519*y - t^6.585*y + t^7.042*y + t^7.103*y + t^7.495*y + t^7.5*y + t^7.561*y + t^7.566*y + t^8.019*y + t^8.085*y + t^8.415*y + 3*t^8.476*y + 2*t^8.481*y + 3*t^8.542*y + t^8.609*y - t^8.669*y + 2*t^8.934*y + 2*t^8.939*y + 2*t^8.995*y	g1*t^2.019 + t^2.085/g2^2 + g1*g2*t^2.476 + t^2.481/g1 + t^3. + 2*g2*t^3.458 + g1*t^3.519 + t^3.524/(g1*g2) + g1*g2*t^3.976 + 2*g1^2*t^4.037 + t^4.042/g2 + t^4.048/(g1^2*g2^2) + (g1*t^4.103)/g2^2 + t^4.169/g2^4 + g1^2*g2*t^4.495 + t^4.5 + (g1*t^4.561)/g2 + t^4.566/(g1*g2^2) + g1^2*g2^2*t^4.952 + g2*t^4.958 + t^4.963/g1^2 + g1*t^5.019 + t^5.085/g2^2 + 3*g1*g2*t^5.476 + t^5.481/g1 + g1^2*t^5.537 + (3*t^5.542)/g2 + (g1*t^5.603)/g2^2 + t^5.609/(g1*g2^3) + g1*g2^2*t^5.934 + (g2*t^5.939)/g1 + g1^2*g2*t^5.995 - t^6. + 2*g1^3*t^6.056 + (g1*t^6.061)/g2 + (2*g1^2*t^6.122)/g2^2 + t^6.127/g2^3 + t^6.132/(g1^2*g2^4) + (g1*t^6.188)/g2^4 + t^6.254/g2^6 + g1^2*g2^2*t^6.452 + g2*t^6.458 + 2*g1^3*g2*t^6.513 + 2*g1*t^6.519 + t^6.524/(g1*g2) + t^6.529/(g1^3*g2^2) + (g1^2*t^6.579)/g2 + t^6.585/g2^2 + (g1*t^6.646)/g2^3 + t^6.651/(g1*g2^4) + 2*g2^2*t^6.915 + g1^3*g2^2*t^6.971 + 2*g1*g2*t^6.976 + t^6.981/g1 + 3*g1^2*t^7.037 + t^7.042/g2 + (2*t^7.048)/(g1^2*g2^2) + (g1*t^7.103)/g2^2 + t^7.169/g2^4 + g1^3*g2^3*t^7.428 + g1*g2^2*t^7.434 - (g2*t^7.439)/g1 + t^7.444/g1^3 + 4*g1^2*g2*t^7.495 + 2*g1^3*t^7.556 + (4*g1*t^7.561)/g2 + t^7.566/(g1*g2^2) + t^7.572/(g1^3*g2^3) + (g1^2*t^7.622)/g2^2 + (3*t^7.627)/g2^3 + (g1*t^7.688)/g2^4 + t^7.693/(g1*g2^5) + 2*g1^2*g2^2*t^7.952 + 2*g1^3*g2*t^8.013 - g1*t^8.019 + 3*g1^4*t^8.074 + (2*g1^2*t^8.079)/g2 + t^8.09/(g1^2*g2^3) + t^8.095/(g1^4*g2^4) + (2*g1^3*t^8.14)/g2^2 + (g1*t^8.146)/g2^3 + (2*g1^2*t^8.207)/g2^4 + t^8.212/g2^5 + t^8.217/(g1^2*g2^6) + (g1*t^8.273)/g2^6 + t^8.339/g2^8 + g1^2*g2^3*t^8.41 + (g2*t^8.421)/g1^2 + g1^3*g2^2*t^8.471 - g1*g2*t^8.476 - (2*t^8.481)/g1 + 2*g1^4*g2*t^8.532 + 2*g1^2*t^8.537 + (2*g1^3*t^8.598)/g2 + (2*g1*t^8.603)/g2^2 + t^8.609/(g1*g2^3) + t^8.614/(g1^3*g2^4) + (g1^2*t^8.664)/g2^3 + t^8.669/g2^4 + (g1*t^8.73)/g2^5 + t^8.736/(g1*g2^6) + g1^3*g2^3*t^8.928 + 2*g1*g2^2*t^8.934 + 2*g1^4*g2^2*t^8.989 + 2*g1^2*g2*t^8.995 - t^4.5/y - (g1*t^6.519)/y - t^6.585/(g2^2*y) + t^7.042/(g2*y) + (g1*t^7.103)/(g2^2*y) + (g1^2*g2*t^7.495)/y + t^7.5/y + (g1*t^7.561)/(g2*y) + t^7.566/(g1*g2^2*y) + (g1*t^8.019)/y + t^8.085/(g2^2*y) + (g2^2*t^8.415)/y + (3*g1*g2*t^8.476)/y + (2*t^8.481)/(g1*y) + (3*t^8.542)/(g2*y) + t^8.609/(g1*g2^3*y) - t^8.669/(g2^4*y) + (2*g1*g2^2*t^8.934)/y + (2*g2*t^8.939)/(g1*y) + (2*g1^2*g2*t^8.995)/y - t^4.5*y - g1*t^6.519*y - (t^6.585*y)/g2^2 + (t^7.042*y)/g2 + (g1*t^7.103*y)/g2^2 + g1^2*g2*t^7.495*y + t^7.5*y + (g1*t^7.561*y)/g2 + (t^7.566*y)/(g1*g2^2) + g1*t^8.019*y + (t^8.085*y)/g2^2 + g2^2*t^8.415*y + 3*g1*g2*t^8.476*y + (2*t^8.481*y)/g1 + (3*t^8.542*y)/g2 + (t^8.609*y)/(g1*g2^3) - (t^8.669*y)/g2^4 + 2*g1*g2^2*t^8.934*y + (2*g2*t^8.939*y)/g1 + 2*g1^2*g2*t^8.995*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
253	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6567	0.8429	0.7791	[M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]]	t^2.021 + t^2.084 + 2*t^2.479 + t^3. + 2*t^3.458 + 2*t^3.521 + t^3.979 + 4*t^4.042 + t^4.106 + t^4.169 + 2*t^4.5 + 2*t^4.563 + 3*t^4.958 + t^5.021 + t^5.084 + 4*t^5.479 + 4*t^5.542 + 2*t^5.606 + 2*t^5.937 - t^4.5/y - t^4.5*y	detail
1718	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6458	0.8255	0.7823	[M:[1.1253, 0.7495, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]]	t^2.248 + 2*t^2.25 + t^2.626 + t^3. + t^3.374 + 2*t^3.376 + t^3.748 + t^3.75 + t^4.124 + t^4.126 + t^4.497 + 2*t^4.498 + 4*t^4.5 + t^4.874 + 2*t^4.876 + t^5.248 + 2*t^5.25 + t^5.252 + t^5.623 + 3*t^5.624 + 4*t^5.626 + t^5.997 + 2*t^5.998 - t^4.5/y - t^4.5*y	detail
254	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6776	0.8842	0.7663	[M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]]	2*t^2.021 + t^2.082 + 2*t^2.479 + t^3. + 2*t^3.459 + 2*t^3.521 + 6*t^4.041 + 2*t^4.103 + t^4.164 + 4*t^4.5 + 2*t^4.562 + 3*t^4.959 + 2*t^5.021 + t^5.082 + 6*t^5.479 + 6*t^5.541 + 2*t^5.603 + 2*t^5.938 - t^6. - t^4.5/y - t^4.5*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
101	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.6359	0.8017	0.7932	[M:[1.1522, 0.6956], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]]	t^2.087 + 2*t^2.478 + t^3. + 2*t^3.457 + 2*t^3.522 + 2*t^3.978 + 3*t^4.043 + t^4.174 + 2*t^4.565 + 3*t^4.957 + t^5.087 + 2*t^5.478 + 2*t^5.543 + 2*t^5.609 + 2*t^5.935 - t^6. - t^4.5/y - t^4.5*y	detail