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
57711	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$	1.2026	1.3877	0.8666	[X:[1.2594, 1.4812], M:[], q:[0.7161, 0.1974], qb:[0.5432, 0.3214], phi:[0.3703]]	[X:[[-6], [12]], M:[], q:[[-5], [7]], qb:[[-1], [-19]], phi:[[3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}X_{1}$	3	t^2.22 + t^2.67 + t^3.11 + 2*t^3.33 + 3*t^3.78 + t^4.22 + 3*t^4.44 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + 2*t^5.78 + 3*t^6. + 2*t^6.23 + 4*t^6.45 + 4*t^6.67 + 5*t^6.89 + 6*t^7.11 + 2*t^7.34 + 9*t^7.56 + 4*t^7.78 + 6*t^8. + 7*t^8.22 + t^8.44 + 6*t^8.45 + 5*t^8.67 + 8*t^8.89 - t^4.11/y - t^5.22/y - t^6.33/y - t^7.22/y - (2*t^7.44)/y - t^7.89/y - t^8.55/y + t^8.78/y - t^4.11*y - t^5.22*y - t^6.33*y - t^7.22*y - 2*t^7.44*y - t^7.89*y - t^8.55*y + t^8.78*y	g1^6*t^2.22 + t^2.67/g1^9 + t^3.11/g1^24 + 2*g1^9*t^3.33 + (3*t^3.78)/g1^6 + t^4.22/g1^21 + 3*g1^12*t^4.44 + t^4.67/g1^36 + (2*t^4.89)/g1^3 + g1^30*t^5.11 + (3*t^5.33)/g1^18 + 2*g1^15*t^5.55 + (2*t^5.78)/g1^33 + 3*t^6. + (2*t^6.23)/g1^48 + (4*t^6.45)/g1^15 + 4*g1^18*t^6.67 + (5*t^6.89)/g1^30 + 6*g1^3*t^7.11 + (2*t^7.34)/g1^45 + (9*t^7.56)/g1^12 + t^7.78/g1^60 + 3*g1^21*t^7.78 + (6*t^8.)/g1^27 + 7*g1^6*t^8.22 + g1^39*t^8.44 + (6*t^8.45)/g1^42 + (5*t^8.67)/g1^9 + (3*t^8.89)/g1^57 + 5*g1^24*t^8.89 - (g1^3*t^4.11)/y - (g1^6*t^5.22)/y - (g1^9*t^6.33)/y - t^7.22/(g1^21*y) - (2*g1^12*t^7.44)/y - t^7.89/(g1^3*y) - (g1^15*t^8.55)/y + t^8.78/(g1^33*y) - g1^3*t^4.11*y - g1^6*t^5.22*y - g1^9*t^6.33*y - (t^7.22*y)/g1^21 - 2*g1^12*t^7.44*y - (t^7.89*y)/g1^3 - g1^15*t^8.55*y + (t^8.78*y)/g1^33

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
59360	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$	1.222	1.4232	0.8586	[X:[1.2603, 1.4794], M:[0.7397], q:[0.7169, 0.1963], qb:[0.5434, 0.3243], phi:[0.3698]]	2*t^2.22 + t^2.67 + t^3.12 + 2*t^3.33 + 2*t^3.78 + t^4.23 + 5*t^4.44 + t^4.69 + 3*t^4.89 + t^5.1 + 4*t^5.34 + 4*t^5.55 + 2*t^5.8 + 4*t^6. - t^4.11/y - t^5.22/y - t^4.11*y - t^5.22*y	detail
59393	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.2128	1.4059	0.8626	[X:[1.2563, 1.4875], M:[0.8844], q:[0.7136, 0.201], qb:[0.5427, 0.3115], phi:[0.3719]]	t^2.23 + 2*t^2.65 + t^3.08 + t^3.35 + 3*t^3.77 + t^4.19 + 3*t^4.46 + t^4.61 + 3*t^4.88 + t^5.16 + 5*t^5.31 + t^5.58 + 3*t^5.73 + 3*t^6. - t^4.12/y - t^5.23/y - t^4.12*y - t^5.23*y	detail
58568	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.1832	1.3524	0.8749	[X:[1.2584, 1.4831], M:[1.2584], q:[0.7154, 0.1985], qb:[0.5431, 0.3184], phi:[0.3708]]	t^2.66 + t^3.1 + 2*t^3.34 + 4*t^3.78 + t^4.21 + 2*t^4.45 + t^4.65 + t^4.89 + t^5.12 + 2*t^5.33 + 2*t^5.76 - t^4.11/y - t^5.22/y - t^4.11*y - t^5.22*y	detail
59436	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$	1.1991	1.3809	0.8683	[X:[1.2727, 1.4545], M:[], q:[0.7273, 0.1818], qb:[0.5455, 0.3636], phi:[0.3636]]	t^2.18 + t^2.73 + 3*t^3.27 + 3*t^3.82 + 4*t^4.36 + 4*t^4.91 + 5*t^5.45 + 5*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y	detail	{a: 1596/1331, c: 1838/1331, X1: 14/11, X2: 16/11, q1: 8/11, q2: 2/11, qb1: 6/11, qb2: 4/11, phi1: 4/11}

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
47944	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4415	1.6256	0.8868	[X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]]	t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y	detail