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
1285	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7683	0.9711	0.7912	[M:[0.8775, 1.0, 0.7551, 1.0, 0.8775, 0.7551, 0.6837], q:[0.5612, 0.5612], qb:[0.4388, 0.6837], phi:[0.4388]]	[M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [0, -2], [1, -5], [0, 3]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$	${}M_{2}^{2}$, ${ }M_{4}^{2}$	-3	t^2.051 + 2*t^2.265 + 3*t^2.633 + 2*t^3. + t^4.102 + 4*t^4.316 + 3*t^4.53 + 7*t^4.684 + 6*t^4.898 + 4*t^5.051 + 9*t^5.265 + t^5.419 + 2*t^5.633 - 3*t^6. + t^6.153 + 6*t^6.581 + 5*t^6.735 + 4*t^6.796 + 16*t^6.949 + 4*t^7.102 + 9*t^7.163 + 22*t^7.316 + t^7.47 + 16*t^7.53 + 8*t^7.684 + 12*t^7.898 - 6*t^8.051 + t^8.204 - 6*t^8.265 - 4*t^8.419 - 14*t^8.633 + 3*t^8.786 + 8*t^8.847 - t^4.316/y - t^6.367/y - (2*t^6.581)/y - (3*t^6.949)/y + (2*t^7.316)/y + t^7.53/y + (6*t^7.684)/y + (6*t^7.898)/y + (4*t^8.051)/y + (8*t^8.265)/y - t^8.419/y + (4*t^8.633)/y - (3*t^8.847)/y - t^4.316*y - t^6.367*y - 2*t^6.581*y - 3*t^6.949*y + 2*t^7.316*y + t^7.53*y + 6*t^7.684*y + 6*t^7.898*y + 4*t^8.051*y + 8*t^8.265*y - t^8.419*y + 4*t^8.633*y - 3*t^8.847*y	g2^3*t^2.051 + (g1*t^2.265)/g2^5 + t^2.265/(g1*g2^3) + (3*t^2.633)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^6*t^4.102 + (2*t^4.316)/g1 + (2*g1*t^4.316)/g2^2 + (g1^2*t^4.53)/g2^10 + t^4.53/g2^8 + t^4.53/(g1^2*g2^6) + (g1^2*t^4.684)/g2 + 5*g2*t^4.684 + (g2^3*t^4.684)/g1^2 + (3*g1*t^4.898)/g2^7 + (3*t^4.898)/(g1*g2^5) + 2*g1*g2^2*t^5.051 + (2*g2^4*t^5.051)/g1 + (g1^2*t^5.265)/g2^6 + (7*t^5.265)/g2^4 + t^5.265/(g1^2*g2^2) + g2^5*t^5.419 + (g1*t^5.633)/g2^3 + t^5.633/(g1*g2) - 3*t^6. + g2^9*t^6.153 + (2*g1^2*t^6.581)/g2^7 + (2*t^6.581)/g2^5 + (2*t^6.581)/(g1^2*g2^3) + g1^2*g2^2*t^6.735 + 3*g2^4*t^6.735 + (g2^6*t^6.735)/g1^2 + (g1^3*t^6.796)/g2^15 + (g1*t^6.796)/g2^13 + t^6.796/(g1*g2^11) + t^6.796/(g1^3*g2^9) + t^6.949/g1^3 + (g1^3*t^6.949)/g2^6 + (7*g1*t^6.949)/g2^4 + (7*t^6.949)/(g1*g2^2) + 2*g1*g2^5*t^7.102 + (2*g2^7*t^7.102)/g1 + (3*g1^2*t^7.163)/g2^12 + (3*t^7.163)/g2^10 + (3*t^7.163)/(g1^2*g2^8) + (5*g1^2*t^7.316)/g2^3 + (12*t^7.316)/g2 + (5*g2*t^7.316)/g1^2 + g2^8*t^7.47 + (g1^3*t^7.53)/g2^11 + (7*g1*t^7.53)/g2^9 + (7*t^7.53)/(g1*g2^7) + t^7.53/(g1^3*g2^5) + 3*g1*t^7.684 + (g1^3*t^7.684)/g2^2 + (3*g2^2*t^7.684)/g1 + (g2^4*t^7.684)/g1^3 + (g1^2*t^7.898)/g2^8 + (10*t^7.898)/g2^6 + t^7.898/(g1^2*g2^4) - g1^2*g2*t^8.051 - 4*g2^3*t^8.051 - (g2^5*t^8.051)/g1^2 + g2^12*t^8.204 - (3*g1*t^8.265)/g2^5 - (3*t^8.265)/(g1*g2^3) - 2*g1*g2^4*t^8.419 - (2*g2^6*t^8.419)/g1 - t^8.633/g1^2 - (g1^2*t^8.633)/g2^4 - (12*t^8.633)/g2^2 + g1^2*g2^5*t^8.786 + g2^7*t^8.786 + (g2^9*t^8.786)/g1^2 + (2*g1^3*t^8.847)/g2^12 + (2*g1*t^8.847)/g2^10 + (2*t^8.847)/(g1*g2^8) + (2*t^8.847)/(g1^3*g2^6) - t^4.316/(g2*y) - (g2^2*t^6.367)/y - (g1*t^6.581)/(g2^6*y) - t^6.581/(g1*g2^4*y) - (3*t^6.949)/(g2^3*y) + t^7.316/(g1*y) + (g1*t^7.316)/(g2^2*y) + t^7.53/(g2^8*y) + (6*g2*t^7.684)/y + (3*g1*t^7.898)/(g2^7*y) + (3*t^7.898)/(g1*g2^5*y) + (2*g1*g2^2*t^8.051)/y + (2*g2^4*t^8.051)/(g1*y) + (g1^2*t^8.265)/(g2^6*y) + (6*t^8.265)/(g2^4*y) + t^8.265/(g1^2*g2^2*y) - (g2^5*t^8.419)/y + (2*g1*t^8.633)/(g2^3*y) + (2*t^8.633)/(g1*g2*y) - (g1^2*t^8.847)/(g2^11*y) - t^8.847/(g2^9*y) - t^8.847/(g1^2*g2^7*y) - (t^4.316*y)/g2 - g2^2*t^6.367*y - (g1*t^6.581*y)/g2^6 - (t^6.581*y)/(g1*g2^4) - (3*t^6.949*y)/g2^3 + (t^7.316*y)/g1 + (g1*t^7.316*y)/g2^2 + (t^7.53*y)/g2^8 + 6*g2*t^7.684*y + (3*g1*t^7.898*y)/g2^7 + (3*t^7.898*y)/(g1*g2^5) + 2*g1*g2^2*t^8.051*y + (2*g2^4*t^8.051*y)/g1 + (g1^2*t^8.265*y)/g2^6 + (6*t^8.265*y)/g2^4 + (t^8.265*y)/(g1^2*g2^2) - g2^5*t^8.419*y + (2*g1*t^8.633*y)/g2^3 + (2*t^8.633*y)/(g1*g2) - (g1^2*t^8.847*y)/g2^11 - (t^8.847*y)/g2^9 - (t^8.847*y)/(g1^2*g2^7)

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
2324	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}X_{1}$	0.67	0.8476	0.7904	[X:[1.614], M:[0.7719, 0.8421, 0.7018, 1.1579, 0.7719, 0.386, 0.8421], q:[0.7719, 0.4561], qb:[0.386, 0.8421], phi:[0.386]]	t^2.105 + 3*t^2.316 + 2*t^2.526 + t^3.474 + t^3.684 + t^3.895 + t^4.211 + 3*t^4.421 + 8*t^4.632 + 7*t^4.842 + 3*t^5.053 + t^5.579 + 2*t^5.789 + t^6. - t^4.158/y - t^4.158*y	detail	{a: 1935/2888, c: 306/361, X1: 92/57, M1: 44/57, M2: 16/19, M3: 40/57, M4: 22/19, M5: 44/57, M6: 22/57, M7: 16/19, q1: 44/57, q2: 26/57, qb1: 22/57, qb2: 16/19, phi1: 22/57}
2322	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$	0.6676	0.842	0.7928	[X:[1.5364], M:[0.8363, 1.2091, 0.4636, 0.7909, 0.8363, 0.8818, 0.7455], q:[0.3727, 0.7909], qb:[0.4182, 0.7455], phi:[0.4182]]	t^2.236 + t^2.373 + 3*t^2.509 + t^2.645 + t^3.491 + 2*t^3.627 + t^4.473 + 3*t^4.609 + 5*t^4.745 + 3*t^4.882 + 6*t^5.018 + 3*t^5.154 + t^5.291 + 2*t^5.727 + 2*t^5.864 + t^6. - t^4.255/y - t^4.255*y	detail

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
805	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7476	0.931	0.803	[M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]]	2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. - t^4.314/y - t^4.314*y	detail