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
4785	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$	0.651	0.7992	0.8146	[M:[0.9604, 0.8146, 0.9604, 0.8146, 1.1854, 0.7417, 1.2583, 1.1125], q:[0.6323, 0.4073], qb:[0.4073, 0.7781], phi:[0.4438]]	[M:[[-22], [-2], [-22], [-2], [2], [8], [-8], [12]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$	${}$	-3	2*t^2.444 + 2*t^2.881 + t^3.337 + t^3.556 + 3*t^3.775 + t^4.231 + 2*t^4.45 + 3*t^4.888 + t^5.125 + 2*t^5.325 + 3*t^5.763 + 2*t^5.781 - 3*t^6. + 6*t^6.219 + t^6.438 + 4*t^6.656 + 2*t^6.894 + t^7.112 + 5*t^7.331 + 5*t^7.55 + 2*t^7.569 + 2*t^7.769 + t^7.787 + t^8.006 + 3*t^8.206 + 5*t^8.225 - 7*t^8.444 + t^8.462 + 4*t^8.644 + 7*t^8.663 + t^8.681 - 7*t^8.881 + 2*t^8.9 - t^4.331/y - t^6.775/y - (2*t^7.213)/y + (2*t^7.45)/y + (2*t^7.888)/y + (4*t^8.325)/y + t^8.763/y + (2*t^8.781)/y - t^4.331*y - t^6.775*y - 2*t^7.213*y + 2*t^7.45*y + 2*t^7.888*y + 4*t^8.325*y + t^8.763*y + 2*t^8.781*y	(2*t^2.444)/g1^2 + (2*t^2.881)/g1^22 + g1^12*t^3.337 + g1^2*t^3.556 + (3*t^3.775)/g1^8 + g1^26*t^4.231 + 2*g1^16*t^4.45 + (3*t^4.888)/g1^4 + g1^40*t^5.125 + (2*t^5.325)/g1^24 + (3*t^5.763)/g1^44 + 2*g1^10*t^5.781 - 3*t^6. + (6*t^6.219)/g1^10 + t^6.438/g1^20 + (4*t^6.656)/g1^30 + 2*g1^14*t^6.894 + g1^4*t^7.112 + (5*t^7.331)/g1^6 + (5*t^7.55)/g1^16 + 2*g1^38*t^7.569 + (2*t^7.769)/g1^26 + g1^28*t^7.787 + g1^18*t^8.006 + (3*t^8.206)/g1^46 + 5*g1^8*t^8.225 - (7*t^8.444)/g1^2 + g1^52*t^8.462 + (4*t^8.644)/g1^66 + (7*t^8.663)/g1^12 + g1^42*t^8.681 - (7*t^8.881)/g1^22 + 2*g1^32*t^8.9 - t^4.331/(g1^6*y) - t^6.775/(g1^8*y) - (2*t^7.213)/(g1^28*y) + (2*g1^16*t^7.45)/y + (2*t^7.888)/(g1^4*y) + (4*t^8.325)/(g1^24*y) + t^8.763/(g1^44*y) + (2*g1^10*t^8.781)/y - (t^4.331*y)/g1^6 - (t^6.775*y)/g1^8 - (2*t^7.213*y)/g1^28 + 2*g1^16*t^7.45*y + (2*t^7.888*y)/g1^4 + (4*t^8.325*y)/g1^24 + (t^8.763*y)/g1^44 + 2*g1^10*t^8.781*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
6391	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{1}M_{9}$	0.6499	0.7985	0.814	[M:[1.0159, 0.8196, 1.0159, 0.8196, 1.1804, 0.7215, 1.2785, 1.0822, 0.9841], q:[0.5743, 0.4098], qb:[0.4098, 0.7706], phi:[0.4589]]	2*t^2.459 + t^2.952 + t^3.048 + t^3.247 + t^3.541 + 3*t^3.836 + t^4.034 + 2*t^4.329 + t^4.822 + 3*t^4.918 + 2*t^5.411 + 2*t^5.706 + t^5.904 - 2*t^6. - t^4.377/y - t^4.377*y	detail
6392	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{5}M_{9}$	0.6666	0.8264	0.8066	[M:[0.9569, 0.8143, 0.9569, 0.8143, 1.1857, 0.7429, 1.2571, 1.1144, 0.8143], q:[0.636, 0.4071], qb:[0.4071, 0.7786], phi:[0.4428]]	3*t^2.443 + 2*t^2.871 + t^3.343 + 3*t^3.771 + t^4.244 + 2*t^4.458 + 6*t^4.886 + t^5.144 + 4*t^5.314 + 3*t^5.741 + 3*t^5.786 - 5*t^6. - t^4.328/y - t^4.328*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
2641	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}M_{7}$	0.6618	0.8182	0.8088	[M:[0.9341, 0.8122, 0.9341, 0.8122, 1.1878, 0.7512, 1.2488], q:[0.6598, 0.4061], qb:[0.4061, 0.7817], phi:[0.4366]]	2*t^2.437 + t^2.619 + 2*t^2.802 + t^3.563 + 3*t^3.746 + t^4.325 + 2*t^4.507 + 3*t^4.873 + 2*t^5.056 + 3*t^5.239 + t^5.269 + 2*t^5.422 + 3*t^5.604 - 3*t^6. - t^4.31/y - t^4.31*y	detail