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
57717	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$	0.8948	0.9285	0.9637	[X:[1.6615, 1.4922], M:[], q:[0.5538, 0.7231], qb:[1.2769, 0.4306], phi:[0.1693]]	[X:[[6], [9]], M:[], q:[[2], [-1]], qb:[[1], [16]], phi:[[-3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	${}$	-2	t^2.95 + t^3.46 + t^3.97 + t^4.48 + t^4.98 + t^5.4 + t^5.91 - 2*t^6. + t^6.41 + 2*t^6.92 + t^7.43 + t^7.52 + 2*t^7.94 + t^8.03 + t^8.35 + 2*t^8.86 - t^8.95 + t^7.52/y^2 - t^3.51/y - t^4.02/y - t^6.46/y - t^6.97/y - t^7.48/y - t^7.98/y - t^8.49/y - t^3.51*y - t^4.02*y - t^6.46*y - t^6.97*y - t^7.48*y - t^7.98*y - t^8.49*y + t^7.52*y^2	g1^18*t^2.95 + g1^15*t^3.46 + g1^12*t^3.97 + g1^9*t^4.48 + g1^6*t^4.98 + g1^39*t^5.4 + g1^36*t^5.91 - 2*t^6. + g1^33*t^6.41 + 2*g1^30*t^6.92 + g1^27*t^7.43 + t^7.52/g1^9 + 2*g1^24*t^7.94 + t^8.03/g1^12 + g1^57*t^8.35 + 2*g1^54*t^8.86 - g1^18*t^8.95 + t^7.52/(g1^9*y^2) - t^3.51/(g1^3*y) - t^4.02/(g1^6*y) - (g1^15*t^6.46)/y - (g1^12*t^6.97)/y - (g1^9*t^7.48)/y - (g1^6*t^7.98)/y - (g1^3*t^8.49)/y - (t^3.51*y)/g1^3 - (t^4.02*y)/g1^6 - g1^15*t^6.46*y - g1^12*t^6.97*y - g1^9*t^7.48*y - g1^6*t^7.98*y - g1^3*t^8.49*y + (t^7.52*y^2)/g1^9

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
60119	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	0.8953	0.9241	0.9689	[X:[1.6755, 1.5133], M:[0.9734], q:[0.5585, 0.7207], qb:[1.2793, 0.4681], phi:[0.1622]]	t^2.92 + t^3.57 + t^4.05 + t^4.54 + t^5.03 + t^5.67 + t^5.84 - 2*t^6. - t^3.49/y - t^3.97/y - t^3.49*y - t^3.97*y	detail
59394	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	0.8855	0.9048	0.9787	[X:[1.6923, 1.5385], M:[], q:[0.5641, 0.7179], qb:[1.2821, 0.5128], phi:[0.1538]]	t^3.23 + t^3.69 + t^4.15 + t^4.62 + t^5.08 - t^6. - t^3.46/y - t^3.92/y - t^3.46*y - t^3.92*y	detail	{a: 3891/4394, c: 7951/8788, X1: 22/13, X2: 20/13, q1: 22/39, q2: 28/39, qb1: 50/39, qb2: 20/39, phi1: 2/13}
60073	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	0.8945	0.9258	0.9662	[X:[1.6667, 1.5], M:[], q:[0.5556, 0.7222], qb:[1.2778, 0.4444], phi:[0.1667]]	t^3. + t^3.5 + t^4. + t^4.5 + t^5. + t^5.5 - t^6. - t^3.5/y - t^4./y - t^3.5*y - t^4.*y	detail	{a: 229/256, c: 237/256, X1: 5/3, X2: 3/2, q1: 5/9, q2: 13/18, qb1: 23/18, qb2: 4/9, phi1: 1/6}

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
47947	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$	1.0879	1.2082	0.9004	[X:[1.5125], q:[0.6921, 0.372], qb:[1.0641, 0.4092], phi:[0.2437]]	t^2.194 + t^2.344 + t^3.075 + t^3.304 + t^3.806 + t^4.309 + t^4.387 + 2*t^4.538 + t^4.688 + t^5.04 + 2*t^5.269 + t^5.419 + t^5.542 + t^5.648 + t^5.877 - 2*t^6. - t^3.731/y - t^4.462/y - t^5.925/y - t^3.731*y - t^4.462*y - t^5.925*y	detail