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
3640	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6522	0.858	0.7602	[M:[1.0, 0.8868, 0.7076, 0.7641, 0.7076], q:[0.7641, 0.2359], qb:[0.5283, 0.5849], phi:[0.4717]]	[M:[[0], [-8], [-3], [1], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$	${}$	-3	2*t^2.123 + 2*t^2.292 + t^2.462 + t^2.66 + 2*t^2.83 + t^3. + t^4.047 + 3*t^4.245 + 4*t^4.415 + 6*t^4.585 + 3*t^4.755 + 2*t^4.783 + 2*t^4.924 + 5*t^4.953 + 6*t^5.123 + 4*t^5.292 + t^5.321 + t^5.462 + 2*t^5.491 + 4*t^5.66 - 3*t^6. + t^6.34 + 3*t^6.368 + t^6.509 + 4*t^6.538 + 9*t^6.708 + 10*t^6.877 + 3*t^6.906 + 8*t^7.047 + 8*t^7.076 + 4*t^7.217 + 12*t^7.245 + 2*t^7.387 + 13*t^7.415 + 2*t^7.444 + 8*t^7.585 + 5*t^7.613 + 3*t^7.755 + 10*t^7.783 + 7*t^7.953 + t^7.981 - 3*t^8.123 + 2*t^8.151 - 8*t^8.292 + 4*t^8.321 - 8*t^8.462 + 8*t^8.491 - t^8.632 + t^8.802 + t^8.83 + 2*t^8.972 - t^4.415/y - (2*t^6.538)/y - t^6.708/y - t^7.076/y + (4*t^7.415)/y + (4*t^7.585)/y + (3*t^7.755)/y + (2*t^7.783)/y + (6*t^7.953)/y + (8*t^8.123)/y + (6*t^8.292)/y + t^8.462/y + (2*t^8.491)/y - t^8.66/y - t^4.415*y - 2*t^6.538*y - t^6.708*y - t^7.076*y + 4*t^7.415*y + 4*t^7.585*y + 3*t^7.755*y + 2*t^7.783*y + 6*t^7.953*y + 8*t^8.123*y + 6*t^8.292*y + t^8.462*y + 2*t^8.491*y - t^8.66*y	(2*t^2.123)/g1^3 + 2*g1*t^2.292 + g1^5*t^2.462 + t^2.66/g1^8 + (2*t^2.83)/g1^4 + t^3. + g1^7*t^4.047 + (3*t^4.245)/g1^6 + (4*t^4.415)/g1^2 + 6*g1^2*t^4.585 + 3*g1^6*t^4.755 + (2*t^4.783)/g1^11 + 2*g1^10*t^4.924 + (5*t^4.953)/g1^7 + (6*t^5.123)/g1^3 + 4*g1*t^5.292 + t^5.321/g1^16 + g1^5*t^5.462 + (2*t^5.491)/g1^12 + (4*t^5.66)/g1^8 - 3*t^6. + g1^8*t^6.34 + (3*t^6.368)/g1^9 + g1^12*t^6.509 + (4*t^6.538)/g1^5 + (9*t^6.708)/g1 + 10*g1^3*t^6.877 + (3*t^6.906)/g1^14 + 8*g1^7*t^7.047 + (8*t^7.076)/g1^10 + 4*g1^11*t^7.217 + (12*t^7.245)/g1^6 + 2*g1^15*t^7.387 + (13*t^7.415)/g1^2 + (2*t^7.444)/g1^19 + 8*g1^2*t^7.585 + (5*t^7.613)/g1^15 + 3*g1^6*t^7.755 + (10*t^7.783)/g1^11 + (7*t^7.953)/g1^7 + t^7.981/g1^24 - (3*t^8.123)/g1^3 + (2*t^8.151)/g1^20 - 8*g1*t^8.292 + (4*t^8.321)/g1^16 - 8*g1^5*t^8.462 + (8*t^8.491)/g1^12 - g1^9*t^8.632 + g1^13*t^8.802 + t^8.83/g1^4 + 2*g1^17*t^8.972 - t^4.415/(g1^2*y) - (2*t^6.538)/(g1^5*y) - t^6.708/(g1*y) - t^7.076/(g1^10*y) + (4*t^7.415)/(g1^2*y) + (4*g1^2*t^7.585)/y + (3*g1^6*t^7.755)/y + (2*t^7.783)/(g1^11*y) + (6*t^7.953)/(g1^7*y) + (8*t^8.123)/(g1^3*y) + (6*g1*t^8.292)/y + (g1^5*t^8.462)/y + (2*t^8.491)/(g1^12*y) - t^8.66/(g1^8*y) - (t^4.415*y)/g1^2 - (2*t^6.538*y)/g1^5 - (t^6.708*y)/g1 - (t^7.076*y)/g1^10 + (4*t^7.415*y)/g1^2 + 4*g1^2*t^7.585*y + 3*g1^6*t^7.755*y + (2*t^7.783*y)/g1^11 + (6*t^7.953*y)/g1^7 + (8*t^8.123*y)/g1^3 + 6*g1*t^8.292*y + g1^5*t^8.462*y + (2*t^8.491*y)/g1^12 - (t^8.66*y)/g1^8

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
3913	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$	0.6447	0.8459	0.7621	[M:[1.0, 0.951, 0.7316, 0.7561, 0.7316, 1.049], q:[0.7561, 0.2439], qb:[0.5122, 0.5367], phi:[0.4878]]	2*t^2.195 + 2*t^2.268 + t^2.342 + 2*t^2.927 + t^3. + t^3.147 + t^3.879 + 3*t^4.39 + 4*t^4.463 + 6*t^4.537 + 3*t^4.61 + 2*t^4.684 + 3*t^5.121 + 5*t^5.195 + 4*t^5.268 + 3*t^5.342 + 2*t^5.415 + t^5.489 + 3*t^5.853 - 3*t^6. - t^4.463/y - t^4.463*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
3222	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6318	0.8193	0.7712	[M:[1.0, 0.8927, 0.7098, 0.7634], q:[0.7634, 0.2366], qb:[0.5268, 0.5805], phi:[0.4732]]	t^2.129 + 2*t^2.29 + t^2.451 + t^2.678 + 2*t^2.839 + t^3. + t^3.871 + t^4.032 + t^4.259 + 2*t^4.42 + 5*t^4.58 + 3*t^4.741 + t^4.807 + 2*t^4.902 + 3*t^4.968 + 5*t^5.129 + 4*t^5.29 + t^5.356 + t^5.451 + 2*t^5.517 + 4*t^5.678 - 2*t^6. - t^4.42/y - t^4.42*y	detail