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
57423	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$	1.0293	1.1454	0.8987	[X:[1.4286, 1.4286], M:[1.1429], q:[0.2857, 0.8571], qb:[0.2857, 0.8571], phi:[0.2857]]	[X:[[0, 0], [0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 807/784, c: 449/392, X1: 10/7, X2: 10/7, M1: 8/7, q1: 2/7, q2: 6/7, qb1: 2/7, qb2: 6/7, phi1: 2/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$	-1	t^2.571 + 4*t^3.429 + 2*t^4.286 + 6*t^5.143 - t^6. + 10*t^6.857 + 6*t^7.714 + 12*t^8.571 + t^8.571/y^2 - t^3.857/y - t^4.714/y - (4*t^7.286)/y - (2*t^8.143)/y - t^3.857*y - t^4.714*y - 4*t^7.286*y - 2*t^8.143*y + t^8.571*y^2	t^2.571 + 2*t^3.429 + (g1*t^3.429)/g2 + (g2*t^3.429)/g1 + 2*t^4.286 + 2*t^5.143 + t^5.143/g1^3 + g1^3*t^5.143 + t^5.143/(g1^2*g2) + g1^2*g2*t^5.143 - t^6. + 4*t^6.857 + (g1^2*t^6.857)/g2^2 + (2*g1*t^6.857)/g2 + (2*g2*t^6.857)/g1 + (g2^2*t^6.857)/g1^2 + 4*t^7.714 + (g1*t^7.714)/g2 + (g2*t^7.714)/g1 + 4*t^8.571 + t^8.571/g1^3 + g1^3*t^8.571 + t^8.571/(g1*g2^2) + t^8.571/(g1^2*g2) + (g1^4*t^8.571)/g2 + (g2*t^8.571)/g1^4 + g1^2*g2*t^8.571 + g1*g2^2*t^8.571 + t^8.571/y^2 - t^3.857/y - t^4.714/y - (2*t^7.286)/y - (g1*t^7.286)/(g2*y) - (g2*t^7.286)/(g1*y) - (2*t^8.143)/y - t^3.857*y - t^4.714*y - 2*t^7.286*y - (g1*t^7.286*y)/g2 - (g2*t^7.286*y)/g1 - 2*t^8.143*y + t^8.571*y^2

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
59398	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{1}M_{2}$	1.0419	1.1669	0.8929	[X:[1.4286, 1.4286], M:[1.1429, 0.8571], q:[0.2857, 0.8571], qb:[0.2857, 0.8571], phi:[0.2857]]	2*t^2.57 + 3*t^3.43 + 2*t^4.29 + 8*t^5.14 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y	detail	{a: 2859/2744, c: 1601/1372, X1: 10/7, X2: 10/7, M1: 8/7, M2: 6/7, q1: 2/7, q2: 6/7, qb1: 2/7, qb2: 6/7, phi1: 2/7}
60572	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.0439	1.1721	0.8906	[X:[1.4286, 1.4286], M:[1.1429, 0.8058], q:[0.2772, 0.9], qb:[0.2943, 0.8143], phi:[0.2857]]	t^2.42 + t^2.57 + t^3.27 + 2*t^3.43 + 2*t^4.29 + t^4.83 + t^4.99 + 2*t^5.07 + 2*t^5.14 + 2*t^5.22 + t^5.69 + 2*t^5.85 - t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*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
47904	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.1161	1.2318	0.9061	[X:[1.5372], M:[0.9256], q:[0.4215, 0.8843], qb:[0.4215, 0.8843], phi:[0.2314]]	t^2.083 + t^2.529 + t^2.777 + 3*t^3.917 + t^4.165 + 2*t^4.612 + t^4.859 + t^5.058 + 2*t^5.306 + t^5.553 + 4*t^5.876 - 2*t^6. - t^3.694/y - t^4.388/y - t^5.777/y - t^3.694*y - t^4.388*y - t^5.777*y	detail