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
5088	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6281	0.8157	0.77	[M:[0.9985, 0.7167, 1.0015, 0.7136, 1.2864, 0.7136, 0.8576, 0.8546], q:[0.6432, 0.3583], qb:[0.3553, 0.928], phi:[0.4288]]	[M:[[14], [-22], [-14], [6], [-6], [6], [-4], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$	${}$	-2	2*t^2.141 + t^2.15 + t^2.564 + 2*t^2.573 + t^2.995 + t^3.005 + t^3.418 + 3*t^4.282 + 2*t^4.291 + t^4.3 + 2*t^4.705 + 6*t^4.714 + 2*t^4.723 + t^5.127 + 4*t^5.136 + 6*t^5.145 + t^5.155 + 3*t^5.559 + 3*t^5.568 + t^5.577 + t^5.982 + 2*t^5.991 - 2*t^6. + t^6.414 + 3*t^6.423 + t^6.432 + 2*t^6.441 + t^6.45 + t^6.836 + 2*t^6.845 + 6*t^6.855 + 4*t^6.864 + 2*t^6.873 + 2*t^7.268 + 7*t^7.277 + 12*t^7.286 + 5*t^7.295 + t^7.304 + t^7.691 + 7*t^7.7 + 9*t^7.709 + 8*t^7.718 + t^7.727 + 3*t^8.123 + 7*t^8.132 - 2*t^8.141 - 2*t^8.15 + t^8.546 + 4*t^8.555 + 3*t^8.564 - 7*t^8.573 + 2*t^8.591 + t^8.6 + 3*t^8.977 + 3*t^8.986 - t^8.995 - t^4.286/y - t^6.427/y - t^6.436/y - t^6.85/y - (2*t^6.859)/y + t^7.282/y + (2*t^7.291)/y + (2*t^7.705)/y + (7*t^7.714)/y + (3*t^7.723)/y + (5*t^8.136)/y + (5*t^8.145)/y + t^8.155/y + (3*t^8.559)/y + (3*t^8.568)/y + t^8.577/y - t^8.586/y + t^8.982/y + t^8.991/y - t^4.286*y - t^6.427*y - t^6.436*y - t^6.85*y - 2*t^6.859*y + t^7.282*y + 2*t^7.291*y + 2*t^7.705*y + 7*t^7.714*y + 3*t^7.723*y + 5*t^8.136*y + 5*t^8.145*y + t^8.155*y + 3*t^8.559*y + 3*t^8.568*y + t^8.577*y - t^8.586*y + t^8.982*y + t^8.991*y	2*g1^6*t^2.141 + t^2.15/g1^22 + g1^24*t^2.564 + (2*t^2.573)/g1^4 + g1^14*t^2.995 + t^3.005/g1^14 + g1^32*t^3.418 + 3*g1^12*t^4.282 + (2*t^4.291)/g1^16 + t^4.3/g1^44 + 2*g1^30*t^4.705 + 6*g1^2*t^4.714 + (2*t^4.723)/g1^26 + g1^48*t^5.127 + 4*g1^20*t^5.136 + (6*t^5.145)/g1^8 + t^5.155/g1^36 + 3*g1^38*t^5.559 + 3*g1^10*t^5.568 + t^5.577/g1^18 + g1^56*t^5.982 + 2*g1^28*t^5.991 - 2*t^6. + g1^46*t^6.414 + 3*g1^18*t^6.423 + t^6.432/g1^10 + (2*t^6.441)/g1^38 + t^6.45/g1^66 + g1^64*t^6.836 + 2*g1^36*t^6.845 + 6*g1^8*t^6.855 + (4*t^6.864)/g1^20 + (2*t^6.873)/g1^48 + 2*g1^54*t^7.268 + 7*g1^26*t^7.277 + (12*t^7.286)/g1^2 + (5*t^7.295)/g1^30 + t^7.304/g1^58 + g1^72*t^7.691 + 7*g1^44*t^7.7 + 9*g1^16*t^7.709 + (8*t^7.718)/g1^12 + t^7.727/g1^40 + 3*g1^62*t^8.123 + 7*g1^34*t^8.132 - 2*g1^6*t^8.141 - (2*t^8.15)/g1^22 + g1^80*t^8.546 + 4*g1^52*t^8.555 + 3*g1^24*t^8.564 - (7*t^8.573)/g1^4 + (2*t^8.591)/g1^60 + t^8.6/g1^88 + 3*g1^70*t^8.977 + 3*g1^42*t^8.986 - g1^14*t^8.995 - t^4.286/(g1^2*y) - (g1^4*t^6.427)/y - t^6.436/(g1^24*y) - (g1^22*t^6.85)/y - (2*t^6.859)/(g1^6*y) + (g1^12*t^7.282)/y + (2*t^7.291)/(g1^16*y) + (2*g1^30*t^7.705)/y + (7*g1^2*t^7.714)/y + (3*t^7.723)/(g1^26*y) + (5*g1^20*t^8.136)/y + (5*t^8.145)/(g1^8*y) + t^8.155/(g1^36*y) + (3*g1^38*t^8.559)/y + (3*g1^10*t^8.568)/y + t^8.577/(g1^18*y) - t^8.586/(g1^46*y) + (g1^56*t^8.982)/y + (g1^28*t^8.991)/y - (t^4.286*y)/g1^2 - g1^4*t^6.427*y - (t^6.436*y)/g1^24 - g1^22*t^6.85*y - (2*t^6.859*y)/g1^6 + g1^12*t^7.282*y + (2*t^7.291*y)/g1^16 + 2*g1^30*t^7.705*y + 7*g1^2*t^7.714*y + (3*t^7.723*y)/g1^26 + 5*g1^20*t^8.136*y + (5*t^8.145*y)/g1^8 + (t^8.155*y)/g1^36 + 3*g1^38*t^8.559*y + 3*g1^10*t^8.568*y + (t^8.577*y)/g1^18 - (t^8.586*y)/g1^46 + g1^56*t^8.982*y + g1^28*t^8.991*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
6685	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.6424	0.8404	0.7643	[M:[1.0204, 0.6823, 0.9796, 0.723, 1.277, 0.723, 0.8513, 0.8921, 0.8106], q:[0.6385, 0.3411], qb:[0.3819, 0.9358], phi:[0.4257]]	t^2.047 + 2*t^2.169 + t^2.432 + 2*t^2.554 + t^2.676 + t^2.939 + t^3.061 + t^4.094 + 2*t^4.216 + 3*t^4.338 + t^4.479 + 4*t^4.601 + 6*t^4.723 + 2*t^4.845 + t^4.863 + 3*t^4.986 + 7*t^5.108 + 4*t^5.23 + t^5.352 + t^5.371 + 2*t^5.493 + 2*t^5.615 + t^5.737 - 2*t^6. - t^4.277/y - t^4.277*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
3198	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0.6167	0.7962	0.7746	[M:[1.0202, 0.6826, 0.9798, 0.7229, 1.2771, 0.7229, 0.8514], q:[0.6385, 0.3413], qb:[0.3816, 0.9358], phi:[0.4257]]	t^2.048 + 2*t^2.169 + 2*t^2.554 + t^2.939 + t^3.061 + t^3.325 + t^3.567 + t^4.096 + 2*t^4.217 + 3*t^4.338 + 2*t^4.602 + 5*t^4.723 + t^4.987 + 6*t^5.108 + 2*t^5.229 + t^5.373 + 3*t^5.494 + 2*t^5.615 + 2*t^5.736 + 2*t^5.879 - 2*t^6. - t^4.277/y - t^4.277*y	detail