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
1904	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6272	0.8147	0.7699	[M:[0.978, 1.0661, 0.978, 0.7445, 0.7886], q:[0.7445, 0.2775], qb:[0.4669, 0.4669], phi:[0.511]]	[M:[[4], [-12], [4], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-2	3*t^2.233 + t^2.366 + 2*t^2.934 + 2*t^3.198 + t^3.634 + t^3.767 + 3*t^4.335 + 6*t^4.467 + 3*t^4.599 + t^4.731 + 6*t^5.167 + 2*t^5.3 + 4*t^5.432 + 2*t^5.564 + 5*t^5.868 - 2*t^6. + 3*t^6.132 + 3*t^6.397 + 7*t^6.568 + 11*t^6.7 + 4*t^6.833 + 3*t^6.965 + t^7.097 + 4*t^7.269 + 8*t^7.401 + 5*t^7.533 + 8*t^7.665 + 4*t^7.798 + 2*t^7.93 + t^7.969 + 9*t^8.101 - 7*t^8.233 + 3*t^8.498 + 5*t^8.63 + 5*t^8.669 + 3*t^8.762 + 14*t^8.802 + 5*t^8.934 - t^4.533/y - t^6.767/y - t^6.899/y + t^7.335/y + (2*t^7.467)/y + (4*t^7.599)/y - t^7.731/y + (7*t^8.167)/y + (3*t^8.3)/y + (6*t^8.432)/y + (2*t^8.564)/y + (4*t^8.868)/y - t^4.533*y - t^6.767*y - t^6.899*y + t^7.335*y + 2*t^7.467*y + 4*t^7.599*y - t^7.731*y + 7*t^8.167*y + 3*t^8.3*y + 6*t^8.432*y + 2*t^8.564*y + 4*t^8.868*y	3*g1*t^2.233 + t^2.366/g1^7 + 2*g1^4*t^2.934 + (2*t^3.198)/g1^12 + g1^7*t^3.634 + t^3.767/g1 + 3*g1^10*t^4.335 + 6*g1^2*t^4.467 + (3*t^4.599)/g1^6 + t^4.731/g1^14 + 6*g1^5*t^5.167 + (2*t^5.3)/g1^3 + (4*t^5.432)/g1^11 + (2*t^5.564)/g1^19 + 5*g1^8*t^5.868 - 2*t^6. + (3*t^6.132)/g1^8 + (3*t^6.397)/g1^24 + 7*g1^11*t^6.568 + 11*g1^3*t^6.7 + (4*t^6.833)/g1^5 + (3*t^6.965)/g1^13 + t^7.097/g1^21 + 4*g1^14*t^7.269 + 8*g1^6*t^7.401 + (5*t^7.533)/g1^2 + (8*t^7.665)/g1^10 + (4*t^7.798)/g1^18 + (2*t^7.93)/g1^26 + g1^17*t^7.969 + 9*g1^9*t^8.101 - 7*g1*t^8.233 + (3*t^8.498)/g1^15 + (5*t^8.63)/g1^23 + 5*g1^20*t^8.669 + (3*t^8.762)/g1^31 + 14*g1^12*t^8.802 + 5*g1^4*t^8.934 - t^4.533/(g1^2*y) - t^6.767/(g1*y) - t^6.899/(g1^9*y) + (g1^10*t^7.335)/y + (2*g1^2*t^7.467)/y + (4*t^7.599)/(g1^6*y) - t^7.731/(g1^14*y) + (7*g1^5*t^8.167)/y + (3*t^8.3)/(g1^3*y) + (6*t^8.432)/(g1^11*y) + (2*t^8.564)/(g1^19*y) + (4*g1^8*t^8.868)/y - (t^4.533*y)/g1^2 - (t^6.767*y)/g1 - (t^6.899*y)/g1^9 + g1^10*t^7.335*y + 2*g1^2*t^7.467*y + (4*t^7.599*y)/g1^6 - (t^7.731*y)/g1^14 + 7*g1^5*t^8.167*y + (3*t^8.3*y)/g1^3 + (6*t^8.432*y)/g1^11 + (2*t^8.564*y)/g1^19 + 4*g1^8*t^8.868*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
2933	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$	0.6214	0.8089	0.7682	[M:[0.9474, 1.1579, 0.9474, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	3*t^2.211 + t^2.526 + 2*t^2.842 + 3*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 3*t^4.737 + 7*t^5.053 + 2*t^5.368 + 9*t^5.684 - t^4.579/y - t^4.579*y	detail	{a: 68193/109744, c: 44385/54872, M1: 18/19, M2: 22/19, M3: 18/19, M4: 14/19, M5: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}
2934	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6447	0.8462	0.7619	[M:[0.985, 1.0451, 0.985, 0.7462, 0.7763, 0.7763], q:[0.7462, 0.2688], qb:[0.4774, 0.4774], phi:[0.5075]]	3*t^2.239 + 2*t^2.329 + 2*t^2.955 + 2*t^3.135 + t^3.761 + 3*t^4.387 + 6*t^4.477 + 6*t^4.568 + 3*t^4.658 + 6*t^5.194 + 4*t^5.284 + 4*t^5.374 + 4*t^5.464 + 2*t^5.91 - 3*t^6. - t^4.523/y - t^4.523*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
547	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6104	0.7857	0.777	[M:[0.9695, 1.0916, 0.9695, 0.7424], q:[0.7424, 0.2881], qb:[0.4542, 0.4542], phi:[0.5153]]	3*t^2.227 + 2*t^2.908 + 2*t^3.275 + 2*t^3.59 + t^3.773 + 3*t^4.271 + 6*t^4.454 + 6*t^5.136 + 4*t^5.502 + 8*t^5.817 - 3*t^6. - t^4.546/y - t^4.546*y	detail