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
1366	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6463	0.8724	0.7409	[M:[0.922, 1.2339, 0.7661, 0.7661, 0.6949, 0.6949], q:[0.7305, 0.3475], qb:[0.3475, 0.4186], phi:[0.539]]	[M:[[4], [-12], [12], [12], [-10], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$	1	3*t^2.085 + 3*t^2.298 + t^2.766 + 2*t^3.234 + t^3.447 + 2*t^3.702 + t^4.129 + 6*t^4.17 + 9*t^4.383 + 6*t^4.596 + 3*t^4.851 + 3*t^5.064 + 6*t^5.319 + 9*t^5.532 + 3*t^5.746 + 4*t^5.787 + t^6. + t^6.213 + 10*t^6.254 + 3*t^6.427 + 18*t^6.468 + 17*t^6.681 + 11*t^6.895 + 7*t^6.936 + 5*t^7.149 + 6*t^7.363 + 12*t^7.404 + t^7.576 + 16*t^7.617 + 17*t^7.83 + 6*t^7.871 + 6*t^8.044 - 3*t^8.085 + t^8.257 - 3*t^8.298 + 15*t^8.339 + 3*t^8.512 + 28*t^8.553 + 6*t^8.725 + 28*t^8.766 + 28*t^8.979 - t^4.617/y - (2*t^6.702)/y - t^6.915/y + (3*t^7.17)/y + (9*t^7.383)/y + (3*t^7.596)/y + (3*t^7.851)/y + (3*t^8.064)/y + (7*t^8.319)/y + (11*t^8.532)/y + (3*t^8.746)/y + (3*t^8.787)/y - t^4.617*y - 2*t^6.702*y - t^6.915*y + 3*t^7.17*y + 9*t^7.383*y + 3*t^7.596*y + 3*t^7.851*y + 3*t^8.064*y + 7*t^8.319*y + 11*t^8.532*y + 3*t^8.746*y + 3*t^8.787*y	(3*t^2.085)/g1^10 + 3*g1^12*t^2.298 + g1^4*t^2.766 + (2*t^3.234)/g1^4 + g1^18*t^3.447 + (2*t^3.702)/g1^12 + g1^32*t^4.129 + (6*t^4.17)/g1^20 + 9*g1^2*t^4.383 + 6*g1^24*t^4.596 + (3*t^4.851)/g1^6 + 3*g1^16*t^5.064 + (6*t^5.319)/g1^14 + 9*g1^8*t^5.532 + 3*g1^30*t^5.746 + (4*t^5.787)/g1^22 + t^6. + g1^22*t^6.213 + (10*t^6.254)/g1^30 + 3*g1^44*t^6.427 + (18*t^6.468)/g1^8 + 17*g1^14*t^6.681 + 11*g1^36*t^6.895 + (7*t^6.936)/g1^16 + 5*g1^6*t^7.149 + 6*g1^28*t^7.363 + (12*t^7.404)/g1^24 + g1^50*t^7.576 + (16*t^7.617)/g1^2 + 17*g1^20*t^7.83 + (6*t^7.871)/g1^32 + 6*g1^42*t^8.044 - (3*t^8.085)/g1^10 + g1^64*t^8.257 - 3*g1^12*t^8.298 + (15*t^8.339)/g1^40 + 3*g1^34*t^8.512 + (28*t^8.553)/g1^18 + 6*g1^56*t^8.725 + 28*g1^4*t^8.766 + 28*g1^26*t^8.979 - t^4.617/(g1^2*y) - (2*t^6.702)/(g1^12*y) - (g1^10*t^6.915)/y + (3*t^7.17)/(g1^20*y) + (9*g1^2*t^7.383)/y + (3*g1^24*t^7.596)/y + (3*t^7.851)/(g1^6*y) + (3*g1^16*t^8.064)/y + (7*t^8.319)/(g1^14*y) + (11*g1^8*t^8.532)/y + (3*g1^30*t^8.746)/y + (3*t^8.787)/(g1^22*y) - (t^4.617*y)/g1^2 - (2*t^6.702*y)/g1^12 - g1^10*t^6.915*y + (3*t^7.17*y)/g1^20 + 9*g1^2*t^7.383*y + 3*g1^24*t^7.596*y + (3*t^7.851*y)/g1^6 + 3*g1^16*t^8.064*y + (7*t^8.319*y)/g1^14 + 11*g1^8*t^8.532*y + 3*g1^30*t^8.746*y + (3*t^8.787*y)/g1^22

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
2425	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6418	0.8691	0.7385	[M:[0.9091, 1.2727, 0.7273, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]]	6*t^2.182 + t^2.727 + 3*t^3.273 + 3*t^3.818 + 21*t^4.364 + 6*t^4.909 + 18*t^5.455 + 9*t^6. - t^4.636/y - t^4.636*y	detail	{a: 3417/5324, c: 4627/5324, M1: 10/11, M2: 14/11, M3: 8/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11}
2427	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.6648	0.9062	0.7336	[M:[0.9195, 1.2414, 0.7586, 0.7586, 0.7012, 0.7012, 0.7586], q:[0.7299, 0.3506], qb:[0.3506, 0.408], phi:[0.5402]]	3*t^2.104 + 4*t^2.276 + t^2.759 + 2*t^3.241 + t^3.414 + t^3.724 + t^4.068 + 6*t^4.207 + 12*t^4.379 + 10*t^4.551 + 3*t^4.862 + 4*t^5.034 + 6*t^5.345 + 11*t^5.517 + 4*t^5.689 + t^5.828 - t^6. - t^4.621/y - t^4.621*y	detail
2426	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6604	0.8968	0.7363	[M:[0.9278, 1.2165, 0.7835, 0.7835, 0.6804, 0.6804, 0.8247], q:[0.732, 0.3402], qb:[0.3402, 0.4434], phi:[0.5361]]	3*t^2.041 + 3*t^2.351 + t^2.474 + t^2.784 + 2*t^3.216 + 2*t^3.649 + 6*t^4.082 + t^4.268 + 9*t^4.392 + 3*t^4.515 + 6*t^4.701 + 6*t^4.825 + t^4.948 + 3*t^5.134 + 7*t^5.258 + 6*t^5.567 + 6*t^5.69 + t^6. - t^4.608/y - t^4.608*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
871	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6257	0.8329	0.7513	[M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]]	2*t^2.091 + 3*t^2.291 + t^2.764 + 2*t^3.236 + t^3.437 + 2*t^3.709 + t^3.909 + t^4.11 + 3*t^4.181 + 6*t^4.382 + 6*t^4.583 + 2*t^4.854 + 3*t^5.055 + 4*t^5.327 + 8*t^5.528 + 3*t^5.728 + 2*t^5.799 + 3*t^6. - t^4.618/y - t^4.618*y	detail