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
47888	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$	0.9113	0.9605	0.9488	[X:[1.6284, 1.4426], q:[0.6858, 0.4426], qb:[1.3142, 0.4426], phi:[0.1858]]	[X:[[0, 4], [0, 6]], q:[[1, -5], [-2, 12]], qb:[[-1, 5], [2, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-2	t^2.656 + t^3.213 + t^3.77 + t^4.328 + t^4.885 + t^5.311 + 2*t^5.656 + t^5.869 - 2*t^6. + 2*t^6.426 - t^6.557 + 2*t^6.983 + 3*t^7.541 + t^7.672 - 2*t^7.885 + t^7.967 + t^8.098 + t^8.23 + 2*t^8.311 - 2*t^8.443 + t^8.524 - t^8.656 + t^8.787 + 2*t^8.869 + t^7.672/y^2 - t^3.557/y - t^4.115/y - t^6.213/y - t^6.77/y - t^7.328/y - t^7.885/y - t^8.443/y - t^3.557*y - t^4.115*y - t^6.213*y - t^6.77*y - t^7.328*y - t^7.885*y - t^8.443*y + t^7.672*y^2	g2^12*t^2.656 + g2^10*t^3.213 + g2^8*t^3.77 + g2^6*t^4.328 + g2^4*t^4.885 + g2^24*t^5.311 + (g1^6*t^5.656)/g2^6 + (g2^30*t^5.656)/g1^6 + g2^22*t^5.869 - 2*t^6. + 2*g2^20*t^6.426 - t^6.557/g2^2 + 2*g2^18*t^6.983 + 3*g2^16*t^7.541 + t^7.672/g2^6 - (g1^6*t^7.885)/g2^14 - (g2^22*t^7.885)/g1^6 + g2^36*t^7.967 + g2^14*t^8.098 + t^8.23/g2^8 + g1^6*g2^6*t^8.311 + (g2^42*t^8.311)/g1^6 - (g1^6*t^8.443)/g2^16 - (g2^20*t^8.443)/g1^6 + g2^34*t^8.524 - g2^12*t^8.656 + t^8.787/g2^10 + g1^6*g2^4*t^8.869 + (g2^40*t^8.869)/g1^6 + t^7.672/(g2^6*y^2) - t^3.557/(g2^2*y) - t^4.115/(g2^4*y) - (g2^10*t^6.213)/y - (g2^8*t^6.77)/y - (g2^6*t^7.328)/y - (g2^4*t^7.885)/y - (g2^2*t^8.443)/y - (t^3.557*y)/g2^2 - (t^4.115*y)/g2^4 - g2^10*t^6.213*y - g2^8*t^6.77*y - g2^6*t^7.328*y - g2^4*t^7.885*y - g2^2*t^8.443*y + (t^7.672*y^2)/g2^6

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
57437	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	0.9109	0.9563	0.9525	[X:[1.6364, 1.4545], q:[0.6818, 0.4545], qb:[1.3182, 0.4545], phi:[0.1818]]	t^2.727 + t^3.273 + t^3.818 + t^4.364 + t^4.909 + t^5.455 + 2*t^5.727 - t^6. - t^3.545/y - t^4.091/y - t^3.545*y - t^4.091*y	detail	{a: 9699/10648, c: 10183/10648, X1: 18/11, X2: 16/11, q1: 15/22, q2: 5/11, qb1: 29/22, qb2: 5/11, phi1: 2/11}
57436	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	0.9023	0.9336	0.9665	[X:[1.6667, 1.5], q:[0.6667, 0.5], qb:[1.3333, 0.5], phi:[0.1667]]	t^3. + t^3.5 + t^4. + t^4.5 + t^5. + t^6. - t^3.5/y - t^4./y - t^3.5*y - t^4.*y	detail	{a: 231/256, c: 239/256, X1: 5/3, X2: 3/2, q1: 2/3, q2: 1/2, qb1: 4/3, qb2: 1/2, 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
47876	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4426	1.6227	0.889	[X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]]	t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y	detail