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
55145	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$	0.7036	0.867	0.8115	[M:[0.9696, 0.873, 0.9796, 1.0762, 0.9238, 1.0254, 0.9746], q:[0.5914, 0.439], qb:[0.5356, 0.4848], phi:[0.4873]]	[M:[[0, 8], [-10, 10], [-4, -4], [6, -6], [-6, 6], [2, -2], [-2, 2]], q:[[6, -10], [-6, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$	${}$	-3	t^2.619 + t^2.771 + t^2.909 + 2*t^2.924 + t^2.939 + t^3.229 + t^4.096 + t^4.233 + t^4.371 + t^4.386 + t^4.523 + t^4.553 + t^4.675 + t^4.691 + t^4.843 + t^5.011 + t^5.238 + t^5.39 + t^5.528 + 2*t^5.543 + t^5.558 + 2*t^5.695 + t^5.817 + t^5.832 + 4*t^5.848 + t^5.863 + t^5.878 - 3*t^6. - t^6.29 - t^6.32 + t^6.715 + t^6.852 + t^6.867 + t^6.989 + 2*t^7.005 + 2*t^7.02 + t^7.035 + 2*t^7.142 + 2*t^7.157 + t^7.279 + 3*t^7.294 + 2*t^7.309 + t^7.325 + t^7.432 + t^7.447 + t^7.477 + t^7.492 + t^7.584 + 2*t^7.599 + t^7.614 - t^7.752 + t^7.782 + t^7.857 + t^7.934 + t^7.949 + t^8.009 - t^8.087 + t^8.146 + 2*t^8.162 + t^8.177 + t^8.192 + t^8.239 + 2*t^8.314 + t^8.329 + t^8.436 + t^8.451 + 5*t^8.466 + t^8.482 + t^8.497 + t^8.604 - t^8.634 + t^8.649 + t^8.726 + 2*t^8.741 + 2*t^8.756 + t^8.771 + 3*t^8.786 + t^8.802 + t^8.817 + t^8.894 - 4*t^8.909 - 6*t^8.924 - 3*t^8.939 - t^4.462/y - t^7.081/y - t^7.371/y - t^7.386/y - t^7.401/y + t^7.523/y + t^7.538/y + t^7.553/y + t^7.843/y + t^8.39/y + t^8.528/y + (2*t^8.543)/y + t^8.558/y + t^8.68/y + (2*t^8.695)/y + t^8.71/y + (2*t^8.832)/y + (3*t^8.848)/y + (2*t^8.863)/y - t^4.462*y - t^7.081*y - t^7.371*y - t^7.386*y - t^7.401*y + t^7.523*y + t^7.538*y + t^7.553*y + t^7.843*y + t^8.39*y + t^8.528*y + 2*t^8.543*y + t^8.558*y + t^8.68*y + 2*t^8.695*y + t^8.71*y + 2*t^8.832*y + 3*t^8.848*y + 2*t^8.863*y	(g2^10*t^2.619)/g1^10 + (g2^6*t^2.771)/g1^6 + g2^8*t^2.909 + (2*g2^2*t^2.924)/g1^2 + t^2.939/(g1^4*g2^4) + (g1^6*t^3.229)/g2^6 + (g2^5*t^4.096)/g1^13 + (g2^7*t^4.233)/g1^7 + (g2^9*t^4.371)/g1 + (g2^3*t^4.386)/g1^3 + g1^3*g2^5*t^4.523 + t^4.553/(g1*g2^7) + g1^7*g2*t^4.675 + (g1^5*t^4.691)/g2^5 + (g1^9*t^4.843)/g2^9 + (g1^11*t^5.011)/g2^19 + (g2^20*t^5.238)/g1^20 + (g2^16*t^5.39)/g1^16 + (g2^18*t^5.528)/g1^10 + (2*g2^12*t^5.543)/g1^12 + (g2^6*t^5.558)/g1^14 + (2*g2^8*t^5.695)/g1^8 + g2^16*t^5.817 + (g2^10*t^5.832)/g1^2 + (4*g2^4*t^5.848)/g1^4 + t^5.863/(g1^6*g2^2) + t^5.878/(g1^8*g2^8) - 3*t^6. - (g1^10*t^6.29)/g2^2 - (g1^6*t^6.32)/g2^14 + (g2^15*t^6.715)/g1^23 + (g2^17*t^6.852)/g1^17 + (g2^11*t^6.867)/g1^19 + (g2^19*t^6.989)/g1^11 + (2*g2^13*t^7.005)/g1^13 + (2*g2^7*t^7.02)/g1^15 + (g2*t^7.035)/g1^17 + (2*g2^15*t^7.142)/g1^7 + (2*g2^9*t^7.157)/g1^9 + (g2^17*t^7.279)/g1 + (3*g2^11*t^7.294)/g1^3 + (2*g2^5*t^7.309)/g1^5 + t^7.325/(g1^7*g2) + g1^3*g2^13*t^7.432 + g1*g2^7*t^7.447 + t^7.477/(g1^3*g2^5) + t^7.492/(g1^5*g2^11) + g1^7*g2^9*t^7.584 + 2*g1^5*g2^3*t^7.599 + (g1^3*t^7.614)/g2^3 - (g1^9*t^7.752)/g2 + (g1^5*t^7.782)/g2^13 + (g2^30*t^7.857)/g1^30 + (g1^9*t^7.934)/g2^17 + (g1^7*t^7.949)/g2^23 + (g2^26*t^8.009)/g1^26 - (g1^13*t^8.087)/g2^21 + (g2^28*t^8.146)/g1^20 + (2*g2^22*t^8.162)/g1^22 + (g2^16*t^8.177)/g1^24 + (g2^10*t^8.192)/g1^26 + (g1^17*t^8.239)/g2^25 + (2*g2^18*t^8.314)/g1^18 + (g2^12*t^8.329)/g1^20 + (g2^26*t^8.436)/g1^10 + (g2^20*t^8.451)/g1^12 + (5*g2^14*t^8.466)/g1^14 + (g2^8*t^8.482)/g1^16 + (g2^2*t^8.497)/g1^18 + (g2^16*t^8.604)/g1^8 - (g2^4*t^8.634)/g1^12 + t^8.649/(g1^14*g2^2) + g2^24*t^8.726 + (2*g2^18*t^8.741)/g1^2 + (2*g2^12*t^8.756)/g1^4 + (g2^6*t^8.771)/g1^6 + (3*t^8.786)/g1^8 + t^8.802/(g1^10*g2^6) + t^8.817/(g1^12*g2^12) + g1^2*g2^14*t^8.894 - 4*g2^8*t^8.909 - (6*g2^2*t^8.924)/g1^2 - (3*t^8.939)/(g1^4*g2^4) - (g2*t^4.462)/(g1*y) - (g2^11*t^7.081)/(g1^11*y) - (g2^9*t^7.371)/(g1*y) - (g2^3*t^7.386)/(g1^3*y) - t^7.401/(g1^5*g2^3*y) + (g1^3*g2^5*t^7.523)/y + (g1*t^7.538)/(g2*y) + t^7.553/(g1*g2^7*y) + (g1^9*t^7.843)/(g2^9*y) + (g2^16*t^8.39)/(g1^16*y) + (g2^18*t^8.528)/(g1^10*y) + (2*g2^12*t^8.543)/(g1^12*y) + (g2^6*t^8.558)/(g1^14*y) + (g2^14*t^8.68)/(g1^6*y) + (2*g2^8*t^8.695)/(g1^8*y) + (g2^2*t^8.71)/(g1^10*y) + (2*g2^10*t^8.832)/(g1^2*y) + (3*g2^4*t^8.848)/(g1^4*y) + (2*t^8.863)/(g1^6*g2^2*y) - (g2*t^4.462*y)/g1 - (g2^11*t^7.081*y)/g1^11 - (g2^9*t^7.371*y)/g1 - (g2^3*t^7.386*y)/g1^3 - (t^7.401*y)/(g1^5*g2^3) + g1^3*g2^5*t^7.523*y + (g1*t^7.538*y)/g2 + (t^7.553*y)/(g1*g2^7) + (g1^9*t^7.843*y)/g2^9 + (g2^16*t^8.39*y)/g1^16 + (g2^18*t^8.528*y)/g1^10 + (2*g2^12*t^8.543*y)/g1^12 + (g2^6*t^8.558*y)/g1^14 + (g2^14*t^8.68*y)/g1^6 + (2*g2^8*t^8.695*y)/g1^8 + (g2^2*t^8.71*y)/g1^10 + (2*g2^10*t^8.832*y)/g1^2 + (3*g2^4*t^8.848*y)/g1^4 + (2*t^8.863*y)/(g1^6*g2^2)

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
56813	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}M_{8}$	0.7115	0.8828	0.806	[M:[0.96, 0.8397, 0.9759, 1.0962, 0.9038, 1.0321, 0.9679, 0.9038], q:[0.6162, 0.4238], qb:[0.5441, 0.48], phi:[0.484]]	t^2.519 + 2*t^2.711 + t^2.88 + 2*t^2.904 + t^2.928 + t^3.995 + t^4.163 + t^4.332 + t^4.356 + t^4.524 + t^4.572 + t^4.717 + t^4.74 + t^4.933 + t^5.038 + t^5.149 + 2*t^5.231 + t^5.399 + 4*t^5.423 + t^5.447 + t^5.591 + 4*t^5.615 + t^5.639 + t^5.76 + t^5.784 + 3*t^5.808 + t^5.832 + t^5.855 - 4*t^6. - t^4.452/y - t^4.452*y	detail
56812	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$	0.6742	0.8468	0.7963	[M:[0.8182, 0.7107, 1.0661, 1.1736, 0.8264, 1.0579, 0.9421], q:[0.7645, 0.4173], qb:[0.5248, 0.4091], phi:[0.4711]]	t^2.132 + t^2.455 + t^2.479 + 2*t^2.826 + t^3.198 + t^3.521 + t^3.868 + t^3.893 + t^3.917 + t^4.215 + t^4.24 + t^4.264 + t^4.562 + t^4.587 + t^4.611 + t^4.909 + t^4.934 + 3*t^4.959 + 2*t^5.281 + 2*t^5.306 + t^5.33 + 4*t^5.653 - t^6. - t^4.413/y - t^4.413*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
46847	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$	0.7013	0.8626	0.813	[M:[0.9729, 0.8851, 0.9811, 1.0689, 0.9311, 1.023], q:[0.5825, 0.4446], qb:[0.5324, 0.4864], phi:[0.4885]]	t^2.655 + t^2.793 + t^2.919 + t^2.931 + t^2.943 + t^3.069 + t^3.207 + t^4.133 + t^4.259 + t^4.384 + t^4.397 + t^4.522 + t^4.547 + t^4.66 + t^4.672 + t^4.81 + t^4.96 + t^5.311 + t^5.448 + t^5.574 + t^5.586 + t^5.599 + 2*t^5.724 + t^5.837 + 3*t^5.862 + t^5.887 + t^5.988 - 2*t^6. - t^4.466/y - t^4.466*y	detail