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
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]]	[M:[[0, 8], [-10, 10], [-4, -4], [6, -6], [-6, 6], [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
${}M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$	${}$	-2	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^6.012 - t^6.263 + t^6.276 - t^6.288 + t^6.789 + t^6.914 + t^6.926 + t^7.04 + 2*t^7.052 + t^7.064 + t^7.077 + 2*t^7.177 + t^7.19 + t^7.202 + t^7.303 + 2*t^7.315 + 2*t^7.328 + t^7.34 + t^7.441 + t^7.453 + t^7.466 + t^7.49 + t^7.579 + 2*t^7.591 + t^7.616 + t^7.754 + t^7.879 + t^7.904 + t^7.966 + t^8.104 + t^8.167 + t^8.229 + t^8.242 + t^8.254 + t^8.266 + 2*t^8.38 + t^8.392 + t^8.493 + 4*t^8.517 + t^8.542 + 2*t^8.643 - t^8.655 + t^8.68 + t^8.756 + t^8.768 + t^8.781 - t^8.793 + 2*t^8.806 + t^8.83 + 2*t^8.906 - 4*t^8.919 - 3*t^8.943 + t^8.956 - t^4.466/y - t^7.121/y - t^7.384/y - t^7.409/y + t^7.522/y + t^7.547/y + t^7.81/y + t^8.448/y + t^8.574/y + t^8.586/y + t^8.599/y + t^8.712/y + (2*t^8.724)/y + t^8.737/y + t^8.85/y + (3*t^8.862)/y + t^8.875/y + t^8.988/y - t^4.466*y - t^7.121*y - t^7.384*y - t^7.409*y + t^7.522*y + t^7.547*y + t^7.81*y + t^8.448*y + t^8.574*y + t^8.586*y + t^8.599*y + t^8.712*y + 2*t^8.724*y + t^8.737*y + t^8.85*y + 3*t^8.862*y + t^8.875*y + t^8.988*y	(g2^10*t^2.655)/g1^10 + (g2^6*t^2.793)/g1^6 + g2^8*t^2.919 + (g2^2*t^2.931)/g1^2 + t^2.943/(g1^4*g2^4) + (g1^2*t^3.069)/g2^2 + (g1^6*t^3.207)/g2^6 + (g2^5*t^4.133)/g1^13 + (g2^7*t^4.259)/g1^7 + (g2^9*t^4.384)/g1 + (g2^3*t^4.397)/g1^3 + g1^3*g2^5*t^4.522 + t^4.547/(g1*g2^7) + g1^7*g2*t^4.66 + (g1^5*t^4.672)/g2^5 + (g1^9*t^4.81)/g2^9 + (g1^11*t^4.96)/g2^19 + (g2^20*t^5.311)/g1^20 + (g2^16*t^5.448)/g1^16 + (g2^18*t^5.574)/g1^10 + (g2^12*t^5.586)/g1^12 + (g2^6*t^5.599)/g1^14 + (2*g2^8*t^5.724)/g1^8 + g2^16*t^5.837 + (3*g2^4*t^5.862)/g1^4 + t^5.887/(g1^8*g2^8) + g1^2*g2^6*t^5.988 - 2*t^6. + t^6.012/(g1^2*g2^6) - (g1^10*t^6.263)/g2^2 + (g1^8*t^6.276)/g2^8 - (g1^6*t^6.288)/g2^14 + (g2^15*t^6.789)/g1^23 + (g2^17*t^6.914)/g1^17 + (g2^11*t^6.926)/g1^19 + (g2^19*t^7.04)/g1^11 + (2*g2^13*t^7.052)/g1^13 + (g2^7*t^7.064)/g1^15 + (g2*t^7.077)/g1^17 + (2*g2^15*t^7.177)/g1^7 + (g2^9*t^7.19)/g1^9 + (g2^3*t^7.202)/g1^11 + (g2^17*t^7.303)/g1 + (2*g2^11*t^7.315)/g1^3 + (2*g2^5*t^7.328)/g1^5 + t^7.34/(g1^7*g2) + g1^3*g2^13*t^7.441 + g1*g2^7*t^7.453 + (g2*t^7.466)/g1 + t^7.49/(g1^5*g2^11) + g1^7*g2^9*t^7.579 + 2*g1^5*g2^3*t^7.591 + (g1*t^7.616)/g2^9 + (g1^5*t^7.754)/g2^13 + (g1^11*t^7.879)/g2^11 + (g1^7*t^7.904)/g2^23 + (g2^30*t^7.966)/g1^30 + (g2^26*t^8.104)/g1^26 + (g1^17*t^8.167)/g2^25 + (g2^28*t^8.229)/g1^20 + (g2^22*t^8.242)/g1^22 + (g2^16*t^8.254)/g1^24 + (g2^10*t^8.266)/g1^26 + (2*g2^18*t^8.38)/g1^18 + (g2^12*t^8.392)/g1^20 + (g2^26*t^8.493)/g1^10 + (4*g2^14*t^8.517)/g1^14 + (g2^2*t^8.542)/g1^18 + (2*g2^16*t^8.643)/g1^8 - (g2^10*t^8.655)/g1^10 + t^8.68/(g1^14*g2^2) + g2^24*t^8.756 + (g2^18*t^8.768)/g1^2 + (g2^12*t^8.781)/g1^4 - (g2^6*t^8.793)/g1^6 + (2*t^8.806)/g1^8 + t^8.83/(g1^12*g2^12) + 2*g1^2*g2^14*t^8.906 - 4*g2^8*t^8.919 - (3*t^8.943)/(g1^4*g2^4) + t^8.956/(g1^6*g2^10) - (g2*t^4.466)/(g1*y) - (g2^11*t^7.121)/(g1^11*y) - (g2^9*t^7.384)/(g1*y) - t^7.409/(g1^5*g2^3*y) + (g1^3*g2^5*t^7.522)/y + t^7.547/(g1*g2^7*y) + (g1^9*t^7.81)/(g2^9*y) + (g2^16*t^8.448)/(g1^16*y) + (g2^18*t^8.574)/(g1^10*y) + (g2^12*t^8.586)/(g1^12*y) + (g2^6*t^8.599)/(g1^14*y) + (g2^14*t^8.712)/(g1^6*y) + (2*g2^8*t^8.724)/(g1^8*y) + (g2^2*t^8.737)/(g1^10*y) + (g2^10*t^8.85)/(g1^2*y) + (3*g2^4*t^8.862)/(g1^4*y) + t^8.875/(g1^6*g2^2*y) + (g1^2*g2^6*t^8.988)/y - (g2*t^4.466*y)/g1 - (g2^11*t^7.121*y)/g1^11 - (g2^9*t^7.384*y)/g1 - (t^7.409*y)/(g1^5*g2^3) + g1^3*g2^5*t^7.522*y + (t^7.547*y)/(g1*g2^7) + (g1^9*t^7.81*y)/g2^9 + (g2^16*t^8.448*y)/g1^16 + (g2^18*t^8.574*y)/g1^10 + (g2^12*t^8.586*y)/g1^12 + (g2^6*t^8.599*y)/g1^14 + (g2^14*t^8.712*y)/g1^6 + (2*g2^8*t^8.724*y)/g1^8 + (g2^2*t^8.737*y)/g1^10 + (g2^10*t^8.85*y)/g1^2 + (3*g2^4*t^8.862*y)/g1^4 + (t^8.875*y)/(g1^6*g2^2) + g1^2*g2^6*t^8.988*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
55185	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{4}M_{7}$	0.7086	0.877	0.808	[M:[0.9634, 0.8512, 0.9771, 1.0893, 0.9107, 1.0298, 0.9107], q:[0.6076, 0.4291], qb:[0.5412, 0.4817], phi:[0.4851]]	t^2.554 + 2*t^2.732 + t^2.89 + t^2.911 + t^2.931 + t^3.089 + t^4.03 + t^4.188 + t^4.345 + t^4.366 + t^4.524 + t^4.565 + t^4.703 + t^4.723 + t^4.902 + t^5.101 + t^5.107 + 2*t^5.286 + t^5.444 + 3*t^5.464 + t^5.485 + t^5.622 + 3*t^5.643 + t^5.664 + t^5.78 + 3*t^5.821 + t^5.863 + t^5.979 - 3*t^6. - t^4.455/y - t^4.455*y	detail
55145	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}M_{7}$	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]]	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^4.462/y - t^4.462*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
46403	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$	0.7284	0.9028	0.8068	[M:[0.9169, 0.9169, 0.9169, 0.9169, 0.7506, 1.0831], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]]	t^2.252 + 5*t^2.751 + t^3.249 + 3*t^4.126 + t^4.503 + 4*t^4.625 + 5*t^5.002 + 3*t^5.124 + 12*t^5.501 - 3*t^6. - t^4.375/y - t^4.375*y	detail