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
57433	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.1558	1.3573	0.8515	[X:[1.6], M:[1.1748], q:[0.5832, 0.2084], qb:[0.6168, 0.1916], phi:[0.4]]	[X:[[0, 0]], M:[[-1, 1]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$	3	t^2.324 + 2*t^2.4 + 2*t^3.524 + 3*t^3.6 + t^3.676 + 2*t^4.2 + t^4.649 + 2*t^4.724 + 5*t^4.8 + 2*t^5.324 + 2*t^5.4 + 2*t^5.476 + 2*t^5.849 + 6*t^5.924 + 3*t^6. + t^6.076 + 2*t^6.524 + 4*t^6.6 + t^6.973 + 5*t^7.049 + 8*t^7.124 + 11*t^7.2 + t^7.351 + 2*t^7.649 + 6*t^7.724 + 4*t^7.8 + 2*t^7.876 + 2*t^8.173 + 6*t^8.249 + 9*t^8.324 + 6*t^8.4 + t^8.476 + 6*t^8.849 + 8*t^8.924 - t^4.2/y - t^5.4/y - t^6.524/y - t^6.6/y - (2*t^7.8)/y + t^8.849/y + (5*t^8.924)/y - t^4.2*y - t^5.4*y - t^6.524*y - t^6.6*y - 2*t^7.8*y + t^8.849*y + 5*t^8.924*y	(g2*t^2.324)/g1 + 2*t^2.4 + (2*g2*t^3.524)/g1 + 3*t^3.6 + (g1*t^3.676)/g2 + t^4.2/(g1*g2^2) + g1*g2^2*t^4.2 + (g2^2*t^4.649)/g1^2 + (2*g2*t^4.724)/g1 + 5*t^4.8 + t^5.324/(g1^2*g2) + g2^3*t^5.324 + t^5.4/(g1*g2^2) + g1*g2^2*t^5.4 + t^5.476/g2^3 + g1^2*g2*t^5.476 + (2*g2^2*t^5.849)/g1^2 + (6*g2*t^5.924)/g1 + 3*t^6. + (g1*t^6.076)/g2 + t^6.524/(g1^2*g2) + g2^3*t^6.524 + (2*t^6.6)/(g1*g2^2) + 2*g1*g2^2*t^6.6 + (g2^3*t^6.973)/g1^3 + (5*g2^2*t^7.049)/g1^2 + (8*g2*t^7.124)/g1 + 11*t^7.2 + (g1^2*t^7.351)/g2^2 + t^7.649/g1^3 + (g2^4*t^7.649)/g1 + (3*t^7.724)/(g1^2*g2) + 3*g2^3*t^7.724 + (2*t^7.8)/(g1*g2^2) + 2*g1*g2^2*t^7.8 + t^7.876/g2^3 + g1^2*g2*t^7.876 + (2*g2^3*t^8.173)/g1^3 + (6*g2^2*t^8.249)/g1^2 + (9*g2*t^8.324)/g1 + 4*t^8.4 + t^8.4/(g1^2*g2^4) + g1^2*g2^4*t^8.4 + (g1*t^8.476)/g2 + (3*t^8.849)/g1^3 + (3*g2^4*t^8.849)/g1 + (4*t^8.924)/(g1^2*g2) + 4*g2^3*t^8.924 - t^4.2/y - t^5.4/y - (g2*t^6.524)/(g1*y) - t^6.6/y - (2*t^7.8)/y + (g2^2*t^8.849)/(g1^2*y) + (5*g2*t^8.924)/(g1*y) - t^4.2*y - t^5.4*y - (g2*t^6.524*y)/g1 - t^6.6*y - 2*t^7.8*y + (g2^2*t^8.849*y)/g1^2 + (5*g2*t^8.924*y)/g1

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
58891	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$	1.1723	1.3863	0.8456	[X:[1.6], M:[1.1748, 0.8], q:[0.5832, 0.2084], qb:[0.6168, 0.1916], phi:[0.4]]	t^2.32 + 3*t^2.4 + 2*t^3.52 + 2*t^3.6 + t^3.68 + 2*t^4.2 + t^4.65 + 3*t^4.72 + 8*t^4.8 + 2*t^5.32 + 2*t^5.4 + 2*t^5.48 + 2*t^5.85 + 7*t^5.92 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
59434	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.1385	1.326	0.8586	[X:[1.6], M:[1.2, 1.2], q:[0.6, 0.2], qb:[0.6, 0.2], phi:[0.4]]	2*t^2.4 + 7*t^3.6 + 2*t^4.2 + 5*t^4.8 + 6*t^5.4 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 2277/2000, c: 663/500, X1: 8/5, M1: 6/5, M2: 6/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5}
58834	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.1288	1.3303	0.8485	[X:[1.6], M:[1.1748], q:[0.6499, 0.2751], qb:[0.5501, 0.1249], phi:[0.4]]	t^2.32 + 2*t^2.4 + 2*t^3.52 + 4*t^3.6 + t^3.68 + t^4.65 + 3*t^4.72 + 7*t^4.8 + t^4.88 + 2*t^5.85 + 8*t^5.92 + 6*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
47887	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.1715	1.384	0.8465	[X:[1.6], q:[0.6, 0.2], qb:[0.6, 0.2], phi:[0.4]]	4*t^2.4 + 5*t^3.6 + 2*t^4.2 + 12*t^4.8 + 6*t^5.4 + 14*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 2343/2000, c: 173/125, X1: 8/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5}