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
2791	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6157	0.7974	0.7721	[M:[0.9456, 1.1631, 0.9456, 0.8369, 0.8369], q:[0.7364, 0.318], qb:[0.4267, 0.4102], phi:[0.5272]]	[M:[[4], [-12], [4], [12], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.185 + t^2.234 + 2*t^2.511 + 2*t^2.837 + t^3.44 + t^3.489 + t^3.766 + t^3.815 + t^4.043 + t^4.092 + t^4.142 + t^4.369 + t^4.418 + t^4.468 + 2*t^4.695 + 2*t^4.745 + 5*t^5.021 + 2*t^5.071 + 4*t^5.348 + t^5.625 + 3*t^5.674 + 2*t^5.951 + t^6.228 + 4*t^6.277 + 2*t^6.326 + t^6.375 + 3*t^6.554 + 3*t^6.603 + 3*t^6.652 + t^6.702 + 4*t^6.88 + 2*t^6.929 + 2*t^6.979 + 5*t^7.206 + 3*t^7.255 + t^7.305 + t^7.483 + 8*t^7.532 + 2*t^7.582 + 2*t^7.809 + 8*t^7.858 + t^7.908 + t^7.957 + t^8.086 + 3*t^8.135 + 4*t^8.185 - 2*t^8.234 + t^8.283 + t^8.412 + 5*t^8.461 - 2*t^8.56 + t^8.609 + 3*t^8.738 + 6*t^8.788 - 3*t^8.837 + t^8.886 + t^8.936 - t^4.582/y - t^7.092/y + (2*t^7.695)/y + (3*t^7.745)/y + (3*t^8.021)/y + (3*t^8.071)/y + (4*t^8.348)/y + t^8.625/y + (3*t^8.674)/y + t^8.723/y + (3*t^8.951)/y - t^4.582*y - t^7.092*y + 2*t^7.695*y + 3*t^7.745*y + 3*t^8.021*y + 3*t^8.071*y + 4*t^8.348*y + t^8.625*y + 3*t^8.674*y + t^8.723*y + 3*t^8.951*y	g1^20*t^2.185 + t^2.234/g1^18 + 2*g1^12*t^2.511 + 2*g1^4*t^2.837 + g1^26*t^3.44 + t^3.489/g1^12 + g1^18*t^3.766 + t^3.815/g1^20 + g1^48*t^4.043 + g1^10*t^4.092 + t^4.142/g1^28 + g1^40*t^4.369 + g1^2*t^4.418 + t^4.468/g1^36 + 2*g1^32*t^4.695 + (2*t^4.745)/g1^6 + 5*g1^24*t^5.021 + (2*t^5.071)/g1^14 + 4*g1^16*t^5.348 + g1^46*t^5.625 + 3*g1^8*t^5.674 + 2*g1^38*t^5.951 + g1^68*t^6.228 + 4*g1^30*t^6.277 + (2*t^6.326)/g1^8 + t^6.375/g1^46 + 3*g1^60*t^6.554 + 3*g1^22*t^6.603 + (3*t^6.652)/g1^16 + t^6.702/g1^54 + 4*g1^52*t^6.88 + 2*g1^14*t^6.929 + (2*t^6.979)/g1^24 + 5*g1^44*t^7.206 + 3*g1^6*t^7.255 + t^7.305/g1^32 + g1^74*t^7.483 + 8*g1^36*t^7.532 + (2*t^7.582)/g1^2 + 2*g1^66*t^7.809 + 8*g1^28*t^7.858 + t^7.908/g1^10 + t^7.957/g1^48 + g1^96*t^8.086 + 3*g1^58*t^8.135 + 4*g1^20*t^8.185 - (2*t^8.234)/g1^18 + t^8.283/g1^56 + g1^88*t^8.412 + 5*g1^50*t^8.461 - (2*t^8.56)/g1^26 + t^8.609/g1^64 + 3*g1^80*t^8.738 + 6*g1^42*t^8.788 - 3*g1^4*t^8.837 + t^8.886/g1^34 + t^8.936/g1^72 - t^4.582/(g1^2*y) - (g1^10*t^7.092)/y + (2*g1^32*t^7.695)/y + (3*t^7.745)/(g1^6*y) + (3*g1^24*t^8.021)/y + (3*t^8.071)/(g1^14*y) + (4*g1^16*t^8.348)/y + (g1^46*t^8.625)/y + (3*g1^8*t^8.674)/y + t^8.723/(g1^30*y) + (3*g1^38*t^8.951)/y - (t^4.582*y)/g1^2 - g1^10*t^7.092*y + 2*g1^32*t^7.695*y + (3*t^7.745*y)/g1^6 + 3*g1^24*t^8.021*y + (3*t^8.071*y)/g1^14 + 4*g1^16*t^8.348*y + g1^46*t^8.625*y + 3*g1^8*t^8.674*y + (t^8.723*y)/g1^30 + 3*g1^38*t^8.951*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
3312	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6296	0.8202	0.7676	[M:[0.9499, 1.1503, 0.9499, 0.8497, 0.8497, 0.8256], q:[0.7375, 0.3126], qb:[0.4128, 0.437], phi:[0.525]]	t^2.176 + t^2.249 + t^2.477 + 2*t^2.549 + 2*t^2.85 + t^3.451 + t^3.751 + t^3.824 + t^4.052 + t^4.124 + t^4.197 + t^4.352 + t^4.425 + t^4.497 + t^4.653 + 3*t^4.725 + 2*t^4.798 + t^4.953 + 4*t^5.026 + 5*t^5.098 + 2*t^5.326 + 4*t^5.399 + 2*t^5.699 + t^5.927 - t^4.575/y - t^4.575*y	detail
3311	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	0.6155	0.7965	0.7728	[M:[0.9474, 1.1579, 0.9474, 0.8421, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	2*t^2.211 + 2*t^2.526 + 2*t^2.842 + 2*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + 7*t^5.053 + 4*t^5.368 + 4*t^5.684 + 2*t^6. - t^4.579/y - t^4.579*y	detail	{a: 67551/109744, c: 43703/54872, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
3313	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6096	0.7863	0.7754	[M:[0.9565, 1.1304, 0.9565, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + 2*t^3.652 + 2*t^3.913 + 2*t^4.174 + 2*t^4.435 + 3*t^4.696 + 4*t^4.957 + 5*t^5.217 + 4*t^5.478 + 3*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 118677/194672, c: 76531/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

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
1783	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.617	0.7971	0.7742	[M:[0.9586, 1.1242, 0.9586, 0.8758, 0.8061], q:[0.7396, 0.3018], qb:[0.4542, 0.4215], phi:[0.5207]]	t^2.17 + t^2.268 + t^2.418 + t^2.627 + 2*t^2.876 + t^3.373 + t^3.484 + t^3.732 + t^3.83 + t^4.091 + t^4.189 + t^4.288 + t^4.34 + t^4.438 + t^4.536 + t^4.588 + t^4.686 + t^4.797 + t^4.837 + t^4.895 + 3*t^5.046 + 2*t^5.144 + t^5.255 + 2*t^5.294 + 2*t^5.503 + t^5.653 + 3*t^5.752 + t^5.791 + t^5.902 - t^6. - t^4.562/y - t^4.562*y	detail