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
47047	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6467	0.8249	0.784	[M:[1.1169, 0.7339, 0.7661, 1.1492, 0.8831], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]]	[M:[[1], [2], [-2], [-3], [-1]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$	${}M_{1}M_{5}$	0	t^2.202 + 2*t^2.298 + t^2.649 + t^3. + t^3.351 + 2*t^3.448 + t^3.702 + t^3.895 + t^4.052 + t^4.149 + 2*t^4.403 + 2*t^4.5 + 3*t^4.597 + t^4.851 + 2*t^4.948 + t^5.202 + 3*t^5.298 + t^5.552 + 4*t^5.649 + 3*t^5.746 + 2*t^6.097 + 2*t^6.193 + 2*t^6.351 + 2*t^6.448 + t^6.544 + 2*t^6.605 + 4*t^6.702 + 4*t^6.798 + 7*t^6.895 + 2*t^7.052 + t^7.149 + 2*t^7.246 + 2*t^7.343 + t^7.403 + 2*t^7.5 + 5*t^7.597 + t^7.754 + t^7.79 + 3*t^7.851 + 6*t^7.948 + 5*t^8.044 + t^8.105 - 3*t^8.202 + 2*t^8.298 + 3*t^8.395 + t^8.456 + 3*t^8.492 + 4*t^8.746 + 3*t^8.807 + 2*t^8.843 + 2*t^8.903 - t^4.5/y - t^6.702/y - t^6.798/y + t^7.052/y + (2*t^7.5)/y + t^7.597/y + t^7.851/y + t^7.948/y + (2*t^8.202)/y + (3*t^8.298)/y + t^8.552/y + (5*t^8.649)/y + (4*t^8.746)/y - t^4.5*y - t^6.702*y - t^6.798*y + t^7.052*y + 2*t^7.5*y + t^7.597*y + t^7.851*y + t^7.948*y + 2*t^8.202*y + 3*t^8.298*y + t^8.552*y + 5*t^8.649*y + 4*t^8.746*y	g1^2*t^2.202 + (2*t^2.298)/g1^2 + t^2.649/g1 + t^3. + g1*t^3.351 + (2*t^3.448)/g1^3 + g1^2*t^3.702 + t^3.895/g1^6 + g1^3*t^4.052 + t^4.149/g1 + 2*g1^4*t^4.403 + 2*t^4.5 + (3*t^4.597)/g1^4 + g1*t^4.851 + (2*t^4.948)/g1^3 + g1^2*t^5.202 + (3*t^5.298)/g1^2 + g1^3*t^5.552 + (4*t^5.649)/g1 + (3*t^5.746)/g1^5 + (2*t^6.097)/g1^4 + (2*t^6.193)/g1^8 + 2*g1*t^6.351 + (2*t^6.448)/g1^3 + t^6.544/g1^7 + 2*g1^6*t^6.605 + 4*g1^2*t^6.702 + (4*t^6.798)/g1^2 + (7*t^6.895)/g1^6 + 2*g1^3*t^7.052 + t^7.149/g1 + (2*t^7.246)/g1^5 + (2*t^7.343)/g1^9 + g1^4*t^7.403 + 2*t^7.5 + (5*t^7.597)/g1^4 + g1^5*t^7.754 + t^7.79/g1^12 + 3*g1*t^7.851 + (6*t^7.948)/g1^3 + (5*t^8.044)/g1^7 + g1^6*t^8.105 - 3*g1^2*t^8.202 + (2*t^8.298)/g1^2 + (3*t^8.395)/g1^6 + g1^7*t^8.456 + (3*t^8.492)/g1^10 + (4*t^8.746)/g1^5 + 3*g1^8*t^8.807 + (2*t^8.843)/g1^9 + 2*g1^4*t^8.903 - t^4.5/y - (g1^2*t^6.702)/y - t^6.798/(g1^2*y) + (g1^3*t^7.052)/y + (2*t^7.5)/y + t^7.597/(g1^4*y) + (g1*t^7.851)/y + t^7.948/(g1^3*y) + (2*g1^2*t^8.202)/y + (3*t^8.298)/(g1^2*y) + (g1^3*t^8.552)/y + (5*t^8.649)/(g1*y) + (4*t^8.746)/(g1^5*y) - t^4.5*y - g1^2*t^6.702*y - (t^6.798*y)/g1^2 + g1^3*t^7.052*y + 2*t^7.5*y + (t^7.597*y)/g1^4 + g1*t^7.851*y + (t^7.948*y)/g1^3 + 2*g1^2*t^8.202*y + (3*t^8.298*y)/g1^2 + g1^3*t^8.552*y + (5*t^8.649*y)/g1 + (4*t^8.746*y)/g1^5

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
55385	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$	0.6574	0.8436	0.7793	[M:[1.1198, 0.7396, 0.7604, 1.1406, 0.8802, 0.8802], q:[0.75, 0.3906], qb:[0.3698, 0.4896], phi:[0.5]]	t^2.219 + 2*t^2.281 + 2*t^2.641 + t^3. + 2*t^3.422 + t^3.719 + t^3.844 + t^4.078 + t^4.141 + 2*t^4.438 + 2*t^4.5 + 3*t^4.563 + 2*t^4.859 + 4*t^4.922 + t^5.219 + 5*t^5.281 + 3*t^5.641 + 3*t^5.703 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 516983/786432, c: 663415/786432, M1: 215/192, M2: 71/96, M3: 73/96, M4: 73/64, M5: 169/192, M6: 169/192, q1: 3/4, q2: 25/64, qb1: 71/192, qb2: 47/96, phi1: 1/2}
55186	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6674	0.8647	0.7718	[M:[1.1146, 0.7291, 0.7709, 1.1563, 0.8854, 0.6873], q:[0.75, 0.4063], qb:[0.3646, 0.4791], phi:[0.5]]	t^2.062 + t^2.187 + 2*t^2.313 + t^2.656 + t^3. + t^3.344 + 2*t^3.469 + t^3.687 + t^4.031 + t^4.124 + t^4.156 + t^4.249 + 4*t^4.375 + 2*t^4.5 + 3*t^4.625 + t^4.718 + t^4.844 + 2*t^4.969 + t^5.062 + t^5.187 + 3*t^5.313 + t^5.406 + 3*t^5.531 + 4*t^5.656 + t^5.749 + 3*t^5.782 - t^4.5/y - t^4.5*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
46524	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6364	0.8069	0.7887	[M:[1.114, 0.728, 0.772, 1.158], q:[0.75, 0.408], qb:[0.364, 0.478], phi:[0.5]]	t^2.184 + 2*t^2.316 + t^3. + 2*t^3.342 + 2*t^3.474 + t^3.684 + t^3.948 + t^4.026 + t^4.158 + 2*t^4.368 + 2*t^4.5 + 3*t^4.632 + t^5.184 + 2*t^5.316 + 2*t^5.526 + 5*t^5.658 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*y	detail