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
52231	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6468	0.8098	0.7987	[X:[1.6], M:[1.2, 0.4, 0.7831, 0.8, 0.8169, 0.7915], q:[0.4085, 0.3915], qb:[0.8, 0.8], phi:[0.4]]	[X:[[0]], M:[[0], [0], [2], [0], [-2], [1]], q:[[-1], [1]], qb:[[0], [0]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	0	t^2.349 + t^2.375 + 2*t^2.4 + t^2.451 + 2*t^3.575 + t^3.6 + t^3.625 + t^4.699 + t^4.724 + 3*t^4.749 + 2*t^4.775 + 5*t^4.8 + t^4.825 + 2*t^4.851 + t^4.901 + 2*t^5.924 + 2*t^5.949 + 4*t^5.975 + 2*t^6.025 + t^6.076 + t^7.048 + t^7.073 + 3*t^7.099 + 3*t^7.124 + 8*t^7.149 + 3*t^7.175 + 7*t^7.2 - t^7.225 + 4*t^7.251 + t^7.276 + 2*t^7.301 + t^7.352 + 2*t^8.273 + 2*t^8.299 + 5*t^8.324 + 4*t^8.375 - 2*t^8.4 + t^8.425 - 3*t^8.451 + 2*t^8.476 + t^8.527 - t^4.2/y - t^6.549/y - t^6.575/y - t^6.6/y - t^6.651/y + t^7.724/y + (3*t^7.749)/y + (2*t^7.775)/y + (3*t^7.8)/y + (2*t^7.825)/y + (3*t^7.851)/y - t^8.899/y + t^8.924/y + t^8.949/y + (5*t^8.975)/y - t^4.2*y - t^6.549*y - t^6.575*y - t^6.6*y - t^6.651*y + t^7.724*y + 3*t^7.749*y + 2*t^7.775*y + 3*t^7.8*y + 2*t^7.825*y + 3*t^7.851*y - t^8.899*y + t^8.924*y + t^8.949*y + 5*t^8.975*y	g1^2*t^2.349 + g1*t^2.375 + 2*t^2.4 + t^2.451/g1^2 + 2*g1*t^3.575 + t^3.6 + t^3.625/g1 + g1^4*t^4.699 + g1^3*t^4.724 + 3*g1^2*t^4.749 + 2*g1*t^4.775 + 5*t^4.8 + t^4.825/g1 + (2*t^4.851)/g1^2 + t^4.901/g1^4 + 2*g1^3*t^5.924 + 2*g1^2*t^5.949 + 4*g1*t^5.975 + (2*t^6.025)/g1 + t^6.076/g1^3 + g1^6*t^7.048 + g1^5*t^7.073 + 3*g1^4*t^7.099 + 3*g1^3*t^7.124 + 8*g1^2*t^7.149 + 3*g1*t^7.175 + 7*t^7.2 - t^7.225/g1 + (4*t^7.251)/g1^2 + t^7.276/g1^3 + (2*t^7.301)/g1^4 + t^7.352/g1^6 + 2*g1^5*t^8.273 + 2*g1^4*t^8.299 + 5*g1^3*t^8.324 + 4*g1*t^8.375 - 2*t^8.4 + t^8.425/g1 - (3*t^8.451)/g1^2 + (2*t^8.476)/g1^3 + t^8.527/g1^5 - t^4.2/y - (g1^2*t^6.549)/y - (g1*t^6.575)/y - t^6.6/y - t^6.651/(g1^2*y) + (g1^3*t^7.724)/y + (3*g1^2*t^7.749)/y + (2*g1*t^7.775)/y + (3*t^7.8)/y + (2*t^7.825)/(g1*y) + (3*t^7.851)/(g1^2*y) - (g1^4*t^8.899)/y + (g1^3*t^8.924)/y + (g1^2*t^8.949)/y + (5*g1*t^8.975)/y - t^4.2*y - g1^2*t^6.549*y - g1*t^6.575*y - t^6.6*y - (t^6.651*y)/g1^2 + g1^3*t^7.724*y + 3*g1^2*t^7.749*y + 2*g1*t^7.775*y + 3*t^7.8*y + (2*t^7.825*y)/g1 + (3*t^7.851*y)/g1^2 - g1^4*t^8.899*y + g1^3*t^8.924*y + g1^2*t^8.949*y + 5*g1*t^8.975*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
56335	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$	0.6633	0.8388	0.7907	[X:[1.6], M:[1.2, 0.4, 0.7831, 0.8, 0.8169, 0.7915, 0.8], q:[0.4085, 0.3915], qb:[0.8, 0.8], phi:[0.4]]	t^2.349 + t^2.375 + 3*t^2.4 + t^2.451 + 2*t^3.575 + t^3.625 + t^4.699 + t^4.724 + 4*t^4.749 + 3*t^4.775 + 8*t^4.8 + t^4.825 + 3*t^4.851 + t^4.901 + 2*t^5.924 + t^5.949 + 5*t^5.975 - 2*t^6. - t^4.2/y - t^4.2*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
47011	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6477	0.8127	0.797	[X:[1.6], M:[1.2, 0.4, 0.7866, 0.8, 0.8134, 0.7599], q:[0.4067, 0.3933], qb:[0.8334, 0.7666], phi:[0.4]]	t^2.28 + t^2.36 + 2*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.6 + t^3.68 + t^4.559 + t^4.64 + 2*t^4.68 + 2*t^4.72 + 2*t^4.76 + 5*t^4.8 + 2*t^4.84 + t^4.88 + t^5.759 + t^5.8 + t^5.84 + 3*t^5.88 + 2*t^5.92 + 2*t^5.96 - t^6. - t^4.2/y - t^4.2*y	detail