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
1906	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6282	0.8185	0.7675	[M:[0.9776, 1.0673, 0.9776, 0.7668, 0.7219], q:[0.7444, 0.2781], qb:[0.4439, 0.4888], phi:[0.5112]]	[M:[[4], [-12], [4], [-3], [5]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{4}q_{1}\tilde{q}_{2}$	-2	2*t^2.166 + 2*t^2.3 + 2*t^2.933 + 2*t^3.202 + t^3.565 + t^3.7 + t^4.197 + 4*t^4.332 + 5*t^4.466 + 3*t^4.601 + 4*t^5.099 + 4*t^5.233 + 3*t^5.368 + 3*t^5.502 + 2*t^5.731 + 5*t^5.865 - 2*t^6. + t^6.135 + 2*t^6.363 + 3*t^6.404 + 8*t^6.498 + 8*t^6.632 + 6*t^6.767 + 3*t^6.901 - t^7.036 + 2*t^7.13 + 7*t^7.264 + 7*t^7.399 + 7*t^7.534 + 4*t^7.668 + t^7.762 + 4*t^7.803 + 4*t^7.897 + 7*t^8.031 - t^8.166 - 5*t^8.3 + t^8.394 + 4*t^8.529 + 4*t^8.57 + 13*t^8.663 + 4*t^8.704 + 15*t^8.798 + 2*t^8.933 - t^4.534/y - t^6.7/y - t^6.834/y + (2*t^7.332)/y + (3*t^7.466)/y + (2*t^7.601)/y - t^7.736/y + (4*t^8.099)/y + (5*t^8.233)/y + (5*t^8.368)/y + (4*t^8.502)/y + (2*t^8.731)/y + (4*t^8.865)/y - t^4.534*y - t^6.7*y - t^6.834*y + 2*t^7.332*y + 3*t^7.466*y + 2*t^7.601*y - t^7.736*y + 4*t^8.099*y + 5*t^8.233*y + 5*t^8.368*y + 4*t^8.502*y + 2*t^8.731*y + 4*t^8.865*y	2*g1^5*t^2.166 + (2*t^2.3)/g1^3 + 2*g1^4*t^2.933 + (2*t^3.202)/g1^12 + g1^11*t^3.565 + g1^3*t^3.7 + g1^18*t^4.197 + 4*g1^10*t^4.332 + 5*g1^2*t^4.466 + (3*t^4.601)/g1^6 + 4*g1^9*t^5.099 + 4*g1*t^5.233 + (3*t^5.368)/g1^7 + (3*t^5.502)/g1^15 + 2*g1^16*t^5.731 + 5*g1^8*t^5.865 - 2*t^6. + t^6.135/g1^8 + 2*g1^23*t^6.363 + (3*t^6.404)/g1^24 + 8*g1^15*t^6.498 + 8*g1^7*t^6.632 + (6*t^6.767)/g1 + (3*t^6.901)/g1^9 - t^7.036/g1^17 + 2*g1^22*t^7.13 + 7*g1^14*t^7.264 + 7*g1^6*t^7.399 + (7*t^7.534)/g1^2 + (4*t^7.668)/g1^10 + g1^29*t^7.762 + (4*t^7.803)/g1^18 + 4*g1^21*t^7.897 + 7*g1^13*t^8.031 - g1^5*t^8.166 - (5*t^8.3)/g1^3 + g1^36*t^8.394 + 4*g1^28*t^8.529 + (4*t^8.57)/g1^19 + 13*g1^20*t^8.663 + (4*t^8.704)/g1^27 + 15*g1^12*t^8.798 + 2*g1^4*t^8.933 - t^4.534/(g1^2*y) - (g1^3*t^6.7)/y - t^6.834/(g1^5*y) + (2*g1^10*t^7.332)/y + (3*g1^2*t^7.466)/y + (2*t^7.601)/(g1^6*y) - t^7.736/(g1^14*y) + (4*g1^9*t^8.099)/y + (5*g1*t^8.233)/y + (5*t^8.368)/(g1^7*y) + (4*t^8.502)/(g1^15*y) + (2*g1^16*t^8.731)/y + (4*g1^8*t^8.865)/y - (t^4.534*y)/g1^2 - g1^3*t^6.7*y - (t^6.834*y)/g1^5 + 2*g1^10*t^7.332*y + 3*g1^2*t^7.466*y + (2*t^7.601*y)/g1^6 - (t^7.736*y)/g1^14 + 4*g1^9*t^8.099*y + 5*g1*t^8.233*y + (5*t^8.368*y)/g1^7 + (4*t^8.502*y)/g1^15 + 2*g1^16*t^8.731*y + 4*g1^8*t^8.865*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
2935	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6448	0.8473	0.761	[M:[0.9867, 1.0399, 0.9867, 0.76, 0.7334, 0.7866], q:[0.7467, 0.2666], qb:[0.4668, 0.4934], phi:[0.5066]]	2*t^2.2 + 2*t^2.28 + t^2.36 + 2*t^2.96 + 2*t^3.12 + t^3.72 + t^4.321 + 4*t^4.4 + 5*t^4.48 + 5*t^4.56 + 2*t^4.64 + t^4.719 + 4*t^5.16 + 4*t^5.24 + 5*t^5.32 + 3*t^5.4 + 2*t^5.479 + 3*t^5.92 - 2*t^6. - t^4.52/y - t^4.52*y	detail
2936	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6465	0.8512	0.7595	[M:[0.9797, 1.0609, 0.9797, 0.7652, 0.7246, 0.7652], q:[0.7449, 0.2754], qb:[0.4492, 0.4898], phi:[0.5102]]	2*t^2.174 + 3*t^2.296 + 2*t^2.939 + 2*t^3.183 + t^3.582 + t^4.226 + 4*t^4.348 + 7*t^4.47 + 6*t^4.591 + 4*t^5.113 + 6*t^5.235 + 3*t^5.357 + 5*t^5.479 + 2*t^5.756 + 4*t^5.878 - 4*t^6. - t^4.53/y - t^4.53*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
548	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6298	0.8212	0.7669	[M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]]	4*t^2.226 + 2*t^2.906 + 2*t^3.282 + 2*t^3.585 + 3*t^4.265 + 10*t^4.453 + 8*t^5.132 + 6*t^5.509 + 10*t^5.812 - 6*t^6. - t^4.547/y - t^4.547*y	detail