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
4654	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$	0.6522	0.8218	0.7936	[X:[1.4286], M:[1.1429, 0.5714, 0.7143, 1.0, 1.0, 0.7143, 1.0, 0.8571], q:[0.5714, 0.2857], qb:[0.7143, 0.7143], phi:[0.4286]]	[X:[[0]], M:[[0], [0], [1], [-1], [1], [-1], [0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]]	1	{a: 3579/5488, c: 2255/2744, X1: 10/7, M1: 8/7, M2: 4/7, M3: 5/7, M4: 1, M5: 1, M6: 5/7, M7: 1, M8: 6/7, q1: 4/7, q2: 2/7, qb1: 5/7, qb2: 5/7, phi1: 3/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$	0	2*t^2.143 + 2*t^2.571 + 3*t^3. + t^3.857 + 6*t^4.286 + 3*t^4.714 + 10*t^5.143 + 7*t^5.571 + 8*t^6.429 + 7*t^6.857 + 15*t^7.286 + 14*t^7.714 + 9*t^8.143 + 11*t^8.571 - t^4.286/y - (2*t^6.429)/y - t^6.857/y + t^7.286/y + (5*t^7.714)/y + (9*t^8.143)/y + (3*t^8.571)/y - t^4.286*y - 2*t^6.429*y - t^6.857*y + t^7.286*y + 5*t^7.714*y + 9*t^8.143*y + 3*t^8.571*y	t^2.143/g1 + g1*t^2.143 + 2*t^2.571 + t^3. + t^3./g1 + g1*t^3. + t^3.857 + 2*t^4.286 + t^4.286/g1^2 + t^4.286/g1 + g1*t^4.286 + g1^2*t^4.286 + t^4.714 + t^4.714/g1 + g1*t^4.714 + 4*t^5.143 + t^5.143/g1^2 + (2*t^5.143)/g1 + 2*g1*t^5.143 + g1^2*t^5.143 + 3*t^5.571 + t^5.571/g1^2 + t^5.571/g1 + g1*t^5.571 + g1^2*t^5.571 - 2*t^6. + t^6./g1 + g1*t^6. + 2*t^6.429 + t^6.429/g1^3 + t^6.429/g1^2 + t^6.429/g1 + g1*t^6.429 + g1^2*t^6.429 + g1^3*t^6.429 + t^6.857 + t^6.857/g1^2 + (2*t^6.857)/g1 + 2*g1*t^6.857 + g1^2*t^6.857 + 3*t^7.286 + t^7.286/g1^3 + (2*t^7.286)/g1^2 + (3*t^7.286)/g1 + 3*g1*t^7.286 + 2*g1^2*t^7.286 + g1^3*t^7.286 + 4*t^7.714 + t^7.714/g1^3 + t^7.714/g1^2 + (3*t^7.714)/g1 + 3*g1*t^7.714 + g1^2*t^7.714 + g1^3*t^7.714 + 3*t^8.143 + (3*t^8.143)/g1^2 + 3*g1^2*t^8.143 - t^8.571 + t^8.571/g1^4 + (2*t^8.571)/g1^3 + (2*t^8.571)/g1^2 + t^8.571/g1 + g1*t^8.571 + 2*g1^2*t^8.571 + 2*g1^3*t^8.571 + g1^4*t^8.571 - t^4.286/y - t^6.429/(g1*y) - (g1*t^6.429)/y - t^6.857/y + t^7.286/y + t^7.714/y + (2*t^7.714)/(g1*y) + (2*g1*t^7.714)/y + (3*t^8.143)/y + t^8.143/(g1^2*y) + (2*t^8.143)/(g1*y) + (2*g1*t^8.143)/y + (g1^2*t^8.143)/y + t^8.571/y - t^8.571/(g1^2*y) + (2*t^8.571)/(g1*y) + (2*g1*t^8.571)/y - (g1^2*t^8.571)/y - t^4.286*y - (t^6.429*y)/g1 - g1*t^6.429*y - t^6.857*y + t^7.286*y + t^7.714*y + (2*t^7.714*y)/g1 + 2*g1*t^7.714*y + 3*t^8.143*y + (t^8.143*y)/g1^2 + (2*t^8.143*y)/g1 + 2*g1*t^8.143*y + g1^2*t^8.143*y + t^8.571*y - (t^8.571*y)/g1^2 + (2*t^8.571*y)/g1 + 2*g1*t^8.571*y - g1^2*t^8.571*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
6194	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{8}M_{9}$	0.6396	0.8003	0.7992	[X:[1.4286], M:[1.1429, 0.5714, 0.7143, 1.0, 1.0, 0.7143, 1.0, 0.8571, 1.1429], q:[0.5714, 0.2857], qb:[0.7143, 0.7143], phi:[0.4286]]	2*t^2.143 + t^2.571 + 3*t^3. + t^3.429 + t^3.857 + 6*t^4.286 + t^4.714 + 8*t^5.143 + 6*t^5.571 + t^6. - t^4.286/y - t^4.286*y	detail	{a: 1755/2744, c: 549/686, X1: 10/7, M1: 8/7, M2: 4/7, M3: 5/7, M4: 1, M5: 1, M6: 5/7, M7: 1, M8: 6/7, M9: 8/7, q1: 4/7, q2: 2/7, qb1: 5/7, qb2: 5/7, phi1: 3/7}
6198	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$	0.6724	0.8599	0.7819	[X:[1.4286], M:[1.1429, 0.5714, 0.7143, 1.0, 1.0, 0.7143, 1.0, 0.8571, 0.7143], q:[0.5714, 0.2857], qb:[0.7143, 0.7143], phi:[0.4286]]	3*t^2.143 + 2*t^2.571 + 3*t^3. + 9*t^4.286 + 5*t^4.714 + 13*t^5.143 + 7*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y	detail	{a: 1845/2744, c: 4719/5488, X1: 10/7, M1: 8/7, M2: 4/7, M3: 5/7, M4: 1, M5: 1, M6: 5/7, M7: 1, M8: 6/7, M9: 5/7, q1: 4/7, q2: 2/7, qb1: 5/7, qb2: 5/7, phi1: 3/7}

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
2568	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$	0.7441	0.9354	0.7955	[M:[1.0606, 0.8183, 0.8789, 1.0, 1.0, 0.8789, 0.7119, 0.9394], q:[0.5303, 0.4092], qb:[0.5908, 0.5908], phi:[0.4697]]	t^2.136 + t^2.455 + 2*t^2.637 + 2*t^2.818 + 2*t^3. + t^4.228 + t^4.272 + 2*t^4.409 + 2*t^4.591 + 4*t^4.772 + t^4.91 + 5*t^4.954 + 2*t^5.092 + 2*t^5.136 + 5*t^5.273 + 4*t^5.455 + 6*t^5.637 + 2*t^5.818 - 3*t^6. - t^4.409/y - t^4.409*y	detail