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
1556	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.705	0.8925	0.7899	[M:[0.9877, 0.7581, 0.9066, 0.8392, 1.1608, 0.7244, 0.8055], q:[0.6333, 0.379], qb:[0.4601, 0.7818], phi:[0.4364]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [2, 6]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{7}$, ${ }M_{1}^{2}$	${}$	-2	t^2.173 + t^2.274 + t^2.416 + t^2.518 + t^2.619 + t^2.72 + t^2.963 + t^3.482 + t^4.07 + t^4.245 + 2*t^4.346 + t^4.447 + t^4.549 + 2*t^4.59 + 2*t^4.691 + 2*t^4.792 + t^4.833 + 2*t^4.893 + t^4.934 + t^4.994 + 2*t^5.035 + t^5.109 + 3*t^5.136 + 2*t^5.237 + t^5.339 + t^5.379 + t^5.44 + t^5.582 + t^5.656 + t^5.683 + t^5.899 + t^5.926 - 2*t^6. + t^6.202 + t^6.418 + t^6.486 + 2*t^6.519 - t^6.547 + t^6.588 + 2*t^6.621 + t^6.661 + t^6.689 + t^6.722 + 2*t^6.763 + t^6.823 + 3*t^6.864 + 4*t^6.965 + 2*t^7.006 + t^7.033 + 3*t^7.066 + 2*t^7.107 + 2*t^7.167 + 3*t^7.208 + t^7.249 + t^7.268 + t^7.282 + 4*t^7.309 + t^7.35 + t^7.383 + 4*t^7.41 + t^7.451 + 3*t^7.512 + t^7.525 + 4*t^7.553 + 2*t^7.613 + 2*t^7.654 + t^7.714 + t^7.728 + 3*t^7.755 + t^7.796 + t^7.829 + 4*t^7.856 + 2*t^7.957 - t^7.971 + t^7.998 + t^8.058 + 2*t^8.099 + t^8.14 + t^8.16 - 4*t^8.173 + 2*t^8.2 - 3*t^8.274 + t^8.302 + t^8.315 + t^8.342 + t^8.403 - 3*t^8.416 - 3*t^8.518 + t^8.545 + 2*t^8.591 - 2*t^8.619 + t^8.646 + t^8.66 + 2*t^8.693 - 4*t^8.72 + 2*t^8.794 - t^8.821 + t^8.835 + t^8.889 + 2*t^8.895 + t^8.903 + t^8.922 + t^8.936 - 4*t^8.963 + t^8.996 - t^4.309/y - t^6.482/y - t^6.584/y - t^6.726/y - t^6.928/y - t^7.029/y - t^7.272/y + t^7.346/y + t^7.447/y + (2*t^7.59)/y + (3*t^7.691)/y + (2*t^7.792)/y + (3*t^7.893)/y + t^7.934/y + t^7.994/y + (2*t^8.035)/y + (4*t^8.136)/y + (2*t^8.237)/y + t^8.339/y + t^8.379/y + t^8.481/y + t^8.582/y + t^8.683/y - t^8.858/y - t^4.309*y - t^6.482*y - t^6.584*y - t^6.726*y - t^6.928*y - t^7.029*y - t^7.272*y + t^7.346*y + t^7.447*y + 2*t^7.59*y + 3*t^7.691*y + 2*t^7.792*y + 3*t^7.893*y + t^7.934*y + t^7.994*y + 2*t^8.035*y + 4*t^8.136*y + 2*t^8.237*y + t^8.339*y + t^8.379*y + t^8.481*y + t^8.582*y + t^8.683*y - t^8.858*y	(g2^5*t^2.173)/g1 + t^2.274/(g1^2*g2^2) + g1^2*g2^6*t^2.416 + (g1*t^2.518)/g2 + t^2.619/g2^8 + t^2.72/(g1*g2^15) + (g1^2*t^2.963)/g2^14 + (g2*t^3.482)/g1 + (g1^4*t^4.07)/g2^4 + (g2^17*t^4.245)/g1 + (2*g2^10*t^4.346)/g1^2 + (g2^3*t^4.447)/g1^3 + t^4.549/(g1^4*g2^4) + 2*g1*g2^11*t^4.59 + 2*g2^4*t^4.691 + (2*t^4.792)/(g1*g2^3) + g1^4*g2^12*t^4.833 + (2*t^4.893)/(g1^2*g2^10) + g1^3*g2^5*t^4.934 + t^4.994/(g1^3*g2^17) + (2*g1^2*t^5.035)/g2^2 + (g2^26*t^5.109)/g1^2 + (3*g1*t^5.136)/g2^9 + (2*t^5.237)/g2^16 + t^5.339/(g1*g2^23) + (g1^4*t^5.379)/g2^8 + t^5.44/(g1^2*g2^30) + (g1^2*t^5.582)/g2^22 + (g2^6*t^5.656)/g1^2 + (g1*t^5.683)/g2^29 + g1*g2^7*t^5.899 + (g1^4*t^5.926)/g2^28 - 2*t^6. + t^6.202/(g1^2*g2^14) + (g2^22*t^6.418)/g1^2 + g1^6*g2^2*t^6.486 + (2*g2^15*t^6.519)/g1^3 - t^6.547/g2^20 + (g1^5*t^6.588)/g2^5 + (2*g2^8*t^6.621)/g1^4 + g1*g2^23*t^6.661 + (g1^4*t^6.689)/g2^12 + (g2*t^6.722)/g1^5 + 2*g2^16*t^6.763 + t^6.823/(g1^6*g2^6) + (3*g2^9*t^6.864)/g1 + (4*g2^2*t^6.965)/g1^2 + 2*g1^3*g2^17*t^7.006 + (g1^6*t^7.033)/g2^18 + (3*t^7.066)/(g1^3*g2^5) + 2*g1^2*g2^10*t^7.107 + (2*t^7.167)/(g1^4*g2^12) + 3*g1*g2^3*t^7.208 + g1^6*g2^18*t^7.249 + t^7.268/(g1^5*g2^19) + (g2^31*t^7.282)/g1^3 + (4*t^7.309)/g2^4 + g1^5*g2^11*t^7.35 + (g2^24*t^7.383)/g1^4 + (4*t^7.41)/(g1*g2^11) + g1^4*g2^4*t^7.451 + (3*t^7.512)/(g1^2*g2^18) + g2^32*t^7.525 + (4*g1^3*t^7.553)/g2^3 + (2*t^7.613)/(g1^3*g2^25) + (2*g1^2*t^7.654)/g2^10 + t^7.714/(g1^4*g2^32) + (g2^18*t^7.728)/g1^2 + (3*g1*t^7.755)/g2^17 + (g1^6*t^7.796)/g2^2 + (g2^11*t^7.829)/g1^3 + (4*t^7.856)/g2^24 + (2*t^7.957)/(g1*g2^31) - g1*g2^19*t^7.971 + (g1^4*t^7.998)/g2^16 + t^8.058/(g1^2*g2^38) + (2*g1^3*t^8.099)/g2^23 + (g1^8*t^8.14)/g2^8 + t^8.16/(g1^3*g2^45) - (4*g2^5*t^8.173)/g1 + (2*g1^2*t^8.2)/g2^30 - (3*t^8.274)/(g1^2*g2^2) + (g1*t^8.302)/g2^37 + g1^3*g2^13*t^8.315 + (g1^6*t^8.342)/g2^22 + t^8.403/g2^44 - 3*g1^2*g2^6*t^8.416 - (3*g1*t^8.518)/g2 + (g1^4*t^8.545)/g2^36 + (2*g2^27*t^8.591)/g1^3 - (2*t^8.619)/g2^8 + (g1^3*t^8.646)/g2^43 + g1^5*g2^7*t^8.66 + (2*g2^20*t^8.693)/g1^4 - (4*t^8.72)/(g1*g2^15) + (2*g2^13*t^8.794)/g1^5 - t^8.821/(g1^2*g2^22) + g2^28*t^8.835 + (g1^6*t^8.889)/g2^42 + (2*g2^6*t^8.895)/g1^6 + g1^8*g2^8*t^8.903 + t^8.922/(g1^3*g2^29) + (g2^21*t^8.936)/g1 - (4*g1^2*t^8.963)/g2^14 + t^8.996/(g1^7*g2) - t^4.309/(g2^4*y) - (g2*t^6.482)/(g1*y) - t^6.584/(g1^2*g2^6*y) - (g1^2*g2^2*t^6.726)/y - t^6.928/(g2^12*y) - t^7.029/(g1*g2^19*y) - (g1^2*t^7.272)/(g2^18*y) + (g2^10*t^7.346)/(g1^2*y) + (g2^3*t^7.447)/(g1^3*y) + (2*g1*g2^11*t^7.59)/y + (3*g2^4*t^7.691)/y + (2*t^7.792)/(g1*g2^3*y) + (3*t^7.893)/(g1^2*g2^10*y) + (g1^3*g2^5*t^7.934)/y + t^7.994/(g1^3*g2^17*y) + (2*g1^2*t^8.035)/(g2^2*y) + (4*g1*t^8.136)/(g2^9*y) + (2*t^8.237)/(g2^16*y) + t^8.339/(g1*g2^23*y) + (g1^4*t^8.379)/(g2^8*y) + (g1^3*t^8.481)/(g2^15*y) + (g1^2*t^8.582)/(g2^22*y) + (g1*t^8.683)/(g2^29*y) - t^8.858/(g1^4*g2^8*y) - (t^4.309*y)/g2^4 - (g2*t^6.482*y)/g1 - (t^6.584*y)/(g1^2*g2^6) - g1^2*g2^2*t^6.726*y - (t^6.928*y)/g2^12 - (t^7.029*y)/(g1*g2^19) - (g1^2*t^7.272*y)/g2^18 + (g2^10*t^7.346*y)/g1^2 + (g2^3*t^7.447*y)/g1^3 + 2*g1*g2^11*t^7.59*y + 3*g2^4*t^7.691*y + (2*t^7.792*y)/(g1*g2^3) + (3*t^7.893*y)/(g1^2*g2^10) + g1^3*g2^5*t^7.934*y + (t^7.994*y)/(g1^3*g2^17) + (2*g1^2*t^8.035*y)/g2^2 + (4*g1*t^8.136*y)/g2^9 + (2*t^8.237*y)/g2^16 + (t^8.339*y)/(g1*g2^23) + (g1^4*t^8.379*y)/g2^8 + (g1^3*t^8.481*y)/g2^15 + (g1^2*t^8.582*y)/g2^22 + (g1*t^8.683*y)/g2^29 - (t^8.858*y)/(g1^4*g2^8)

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
2647	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$	0.6995	0.8854	0.79	[M:[1.022, 0.7855, 0.9743, 0.8332, 1.1668, 0.7149, 0.7627, 1.0257], q:[0.5853, 0.3927], qb:[0.4405, 0.7741], phi:[0.4519]]	t^2.145 + t^2.288 + t^2.356 + t^2.5 + t^2.711 + t^3.066 + t^3.077 + t^3.5 + t^3.998 + t^4.078 + 2*t^4.29 + 2*t^4.433 + t^4.501 + t^4.576 + 2*t^4.644 + t^4.713 + t^4.788 + 2*t^4.856 + t^4.867 + 2*t^4.999 + t^5.068 + 2*t^5.211 + t^5.222 + t^5.354 + t^5.365 + t^5.422 + t^5.434 + t^5.577 + t^5.645 + t^5.777 + 2*t^5.788 - 2*t^6. - t^4.356/y - t^4.356*y	detail
2649	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.6814	0.8689	0.7842	[M:[0.8142, 0.767, 0.767, 0.8142, 1.1858, 0.7906, 0.8378], q:[0.8024, 0.3835], qb:[0.4307, 0.8024], phi:[0.3953]]	2*t^2.301 + 2*t^2.372 + 2*t^2.442 + t^2.513 + t^3.558 + t^3.77 + 3*t^4.602 + 4*t^4.673 + 7*t^4.743 + 7*t^4.814 + 5*t^4.885 + 2*t^4.956 + t^5.027 + t^5.858 - t^6. - t^4.186/y - t^4.186*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
986	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$	0.6898	0.8671	0.7956	[M:[0.9905, 0.7331, 0.8747, 0.8489, 1.1511, 0.7202], q:[0.6429, 0.3665], qb:[0.4824, 0.7846], phi:[0.4309]]	t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y	detail