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
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]]	[X:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 2343/2000, c: 173/125, X1: 8/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$	14	4*t^2.4 + 5*t^3.6 + 2*t^4.2 + 12*t^4.8 + 6*t^5.4 + 14*t^6. + 8*t^6.6 + 32*t^7.2 + 18*t^7.8 + 30*t^8.4 - t^4.2/y - t^5.4/y - (3*t^6.6)/y + t^7.8/y - t^4.2*y - t^5.4*y - 3*t^6.6*y + t^7.8*y	2*t^2.4 + (g1*t^2.4)/g2 + (g2*t^2.4)/g1 + 3*t^3.6 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + t^4.2/(g1*g2^2) + g1*g2^2*t^4.2 + 6*t^4.8 + (g1^2*t^4.8)/g2^2 + (2*g1*t^4.8)/g2 + (2*g2*t^4.8)/g1 + (g2^2*t^4.8)/g1^2 + t^5.4/g2^3 + t^5.4/(g1*g2^2) + t^5.4/(g1^2*g2) + g1^2*g2*t^5.4 + g1*g2^2*t^5.4 + g2^3*t^5.4 + 4*t^6. + (g1^2*t^6.)/g2^2 + (4*g1*t^6.)/g2 + (4*g2*t^6.)/g1 + (g2^2*t^6.)/g1^2 + t^6.6/g2^3 + (2*t^6.6)/(g1*g2^2) + t^6.6/(g1^2*g2) + g1^2*g2*t^6.6 + 2*g1*g2^2*t^6.6 + g2^3*t^6.6 + 12*t^7.2 + (g1^3*t^7.2)/g2^3 + (3*g1^2*t^7.2)/g2^2 + (6*g1*t^7.2)/g2 + (6*g2*t^7.2)/g1 + (3*g2^2*t^7.2)/g1^2 + (g2^3*t^7.2)/g1^3 + t^7.8/g1^3 + g1^3*t^7.8 + (g1*t^7.8)/g2^4 + (2*t^7.8)/g2^3 + (3*t^7.8)/(g1*g2^2) + (2*t^7.8)/(g1^2*g2) + 2*g1^2*g2*t^7.8 + 3*g1*g2^2*t^7.8 + 2*g2^3*t^7.8 + (g2^4*t^7.8)/g1 + 8*t^8.4 + t^8.4/(g1^2*g2^4) + (g1^3*t^8.4)/g2^3 + (4*g1^2*t^8.4)/g2^2 + (5*g1*t^8.4)/g2 + (5*g2*t^8.4)/g1 + (4*g2^2*t^8.4)/g1^2 + (g2^3*t^8.4)/g1^3 + g1^2*g2^4*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - (g1*t^6.6)/(g2*y) - (g2*t^6.6)/(g1*y) - t^7.8/y + (g1*t^7.8)/(g2*y) + (g2*t^7.8)/(g1*y) - t^4.2*y - t^5.4*y - t^6.6*y - (g1*t^6.6*y)/g2 - (g2*t^6.6*y)/g1 - t^7.8*y + (g1*t^7.8*y)/g2 + (g2*t^7.8*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
57434	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.188	1.413	0.8408	[X:[1.6], M:[0.8], q:[0.6, 0.2], qb:[0.6, 0.2], phi:[0.4]]	5*t^2.4 + 4*t^3.6 + 2*t^4.2 + 17*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: 297/250, c: 1413/1000, X1: 8/5, M1: 4/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5}
57433	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	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]]	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^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
57432	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.1445	1.357	0.8434	[X:[1.6], q:[0.6667, 0.2667], qb:[0.5333, 0.1333], phi:[0.4]]	4*t^2.4 + 6*t^3.6 + 16*t^4.8 + 21*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 2289/2000, c: 1357/1000, X1: 8/5, q1: 2/3, q2: 4/15, qb1: 8/15, qb2: 2/15, phi1: 2/5}
57431	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$	1.1535	1.366	0.8444	[X:[1.6], q:[0.6, 0.2667], qb:[0.6, 0.1333], phi:[0.4]]	t^2.2 + 2*t^2.4 + t^2.6 + t^3.4 + 3*t^3.6 + 2*t^3.8 + t^4.4 + 3*t^4.6 + 7*t^4.8 + 3*t^5. + 2*t^5.2 + 2*t^5.6 + 5*t^5.8 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 2307/2000, c: 683/500, X1: 8/5, q1: 3/5, q2: 4/15, qb1: 3/5, qb2: 2/15, phi1: 2/5}
57368	${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	1.098	1.2855	0.8541	[X:[1.6, 1.4], q:[0.4667, 0.2667], qb:[0.7333, 0.1333], phi:[0.4]]	2*t^2.4 + 2*t^3. + 3*t^3.6 + 4*t^4.2 + 7*t^4.8 + 5*t^5.4 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 549/500, c: 2571/2000, X1: 8/5, X2: 7/5, q1: 7/15, q2: 4/15, qb1: 11/15, qb2: 2/15, phi1: 2/5}

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
47871	SU3adj1nf2	${}\phi_{1}^{5}$	1.41	1.66	0.8494	[q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]]	5*t^2.4 + 5*t^3.6 + 23*t^4.8 + 21*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 141/100, c: 83/50, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5}