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
45837	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	0.5833	0.6667	0.875	[X:[1.3333], M:[1.0], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]]	[X:[[0, 0, 2]], M:[[0, 0, -3]], q:[[-1, 0, 1], [1, 0, 0]], qb:[[0, -1, 3], [0, 1, 0]], phi:[[0, 0, -1]]]	3	{a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, phi1: 1/3}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$	${}M_{1}^{2}$	-8	t^3. + 8*t^4. + t^5. - 8*t^6. + 29*t^8. - t^4./y - t^4.*y	t^3./g3^3 + g1*g2*t^4. + (g2^2*t^4.)/g3 + (g2*g3*t^4.)/g1 + 2*g3^2*t^4. + (g1*g3^3*t^4.)/g2 + (g3^4*t^4.)/(g1*g2) + (g3^5*t^4.)/g2^2 + g3*t^5. - 3*t^6. + t^6./g3^6 - (g2^2*t^6.)/g3^3 - (g1*g2*t^6.)/g3^2 - (g2*t^6.)/(g1*g3) - (g1*g3*t^6.)/g2 - (g3^2*t^6.)/(g1*g2) - (g3^3*t^6.)/g2^2 + g1^2*g2^2*t^8. + (g2^3*t^8.)/g1 + (2*t^8.)/g3^2 + (g2^4*t^8.)/g3^2 + (g1*g2^3*t^8.)/g3 + 2*g2^2*g3*t^8. + 2*g1*g2*g3^2*t^8. + (g2^2*g3^2*t^8.)/g1^2 + g1^2*g3^3*t^8. + (2*g2*g3^3*t^8.)/g1 + 3*g3^4*t^8. + (g3^5*t^8.)/g1^2 + (2*g1*g3^5*t^8.)/g2 + (g1^2*g3^6*t^8.)/g2^2 + (2*g3^6*t^8.)/(g1*g2) + (2*g3^7*t^8.)/g2^2 + (g1*g3^8*t^8.)/g2^3 + (g3^8*t^8.)/(g1^2*g2^2) + (g3^9*t^8.)/(g1*g2^3) + (g3^10*t^8.)/g2^4 - t^4./(g3*y) - t^7./(g3^4*y) + (g3^2*t^7.)/y - (t^4.*y)/g3 - (t^7.*y)/g3^4 + g3^2*t^7.*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
45859	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.4723	0.5327	0.8867	[X:[1.5173], M:[0.7241], q:[0.8793, 0.8793], qb:[0.3966, 0.8793], phi:[0.2414]]	t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*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
55736	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }q_{2}q_{3}$ + ${ }q_{3}\tilde{q}_{1}$ + ${ }M_{1}\tilde{q}_{2}\tilde{q}_{3}$ + ${ }\phi_{1}^{2}X_{1}$	0.5833	0.6667	0.875	[X:[1.3333], M:[1.0], q:[0.8333, 0.8333, 1.1667], qb:[0.8333, 0.5, 0.5], phi:[0.3333]]	t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y	detail	{a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, q3: 7/6, qb1: 5/6, qb2: 1/2, qb3: 1/2, phi1: 1/3}

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
39	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$	0.6076	0.7195	0.8446	[q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]]	t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y	detail