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
57410	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.3463	1.5838	0.85	[X:[1.4], M:[0.8], q:[0.5, 0.3], qb:[0.5, 0.3], phi:[0.4]]	[X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 1077/800, c: 1267/800, X1: 7/5, M1: 4/5, q1: 1/2, q2: 3/10, qb1: 1/2, qb2: 3/10, phi1: 2/5}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	7	4*t^2.4 + 2*t^3. + 2*t^3.6 + 3*t^4.2 + 2*t^4.5 + 12*t^4.8 + 2*t^5.1 + 7*t^5.4 + 2*t^5.7 + 7*t^6. + 4*t^6.3 + 11*t^6.6 + 8*t^6.9 + 31*t^7.2 + 10*t^7.5 + 20*t^7.8 + 8*t^8.1 + 19*t^8.4 + 14*t^8.7 - t^4.2/y - t^5.4/y - (4*t^6.6)/y - t^7.2/y + (3*t^7.8)/y + (5*t^8.4)/y - t^4.2*y - t^5.4*y - 4*t^6.6*y - t^7.2*y + 3*t^7.8*y + 5*t^8.4*y	2*t^2.4 + (g1*t^2.4)/g2 + (g2*t^2.4)/g1 + 2*t^3. + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + 3*t^4.2 + t^4.5/(g1*g2^2) + g1*g2^2*t^4.5 + 4*t^4.8 + (g1^2*t^4.8)/g2^2 + (3*g1*t^4.8)/g2 + (3*g2*t^4.8)/g1 + (g2^2*t^4.8)/g1^2 + t^5.1/(g1^2*g2) + g1^2*g2*t^5.1 + 5*t^5.4 + (g1*t^5.4)/g2 + (g2*t^5.4)/g1 + t^5.7/(g1*g2^2) + g1*g2^2*t^5.7 + t^6. + (g1^2*t^6.)/g2^2 + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + (g2^2*t^6.)/g1^2 + t^6.3/g2^3 + t^6.3/(g1^2*g2) + g1^2*g2*t^6.3 + g2^3*t^6.3 + 5*t^6.6 + (3*g1*t^6.6)/g2 + (3*g2*t^6.6)/g1 + t^6.9/g2^3 + (3*t^6.9)/(g1*g2^2) + 3*g1*g2^2*t^6.9 + g2^3*t^6.9 + 11*t^7.2 + (g1^3*t^7.2)/g2^3 + (4*g1^2*t^7.2)/g2^2 + (5*g1*t^7.2)/g2 + (5*g2*t^7.2)/g1 + (4*g2^2*t^7.2)/g1^2 + (g2^3*t^7.2)/g1^3 + t^7.5/g1^3 + g1^3*t^7.5 + t^7.5/(g1*g2^2) + (3*t^7.5)/(g1^2*g2) + 3*g1^2*g2*t^7.5 + g1*g2^2*t^7.5 + 6*t^7.8 + (g1^2*t^7.8)/g2^2 + (6*g1*t^7.8)/g2 + (6*g2*t^7.8)/g1 + (g2^2*t^7.8)/g1^2 + t^8.1/g1^3 + g1^3*t^8.1 + t^8.1/g2^3 + t^8.1/(g1*g2^2) + t^8.1/(g1^2*g2) + g1^2*g2*t^8.1 + g1*g2^2*t^8.1 + g2^3*t^8.1 + 9*t^8.4 + (g1^3*t^8.4)/g2^3 + (3*g1^2*t^8.4)/g2^2 + (g1*t^8.4)/g2 + (g2*t^8.4)/g1 + (3*g2^2*t^8.4)/g1^2 + (g2^3*t^8.4)/g1^3 + t^8.7/g1^3 + g1^3*t^8.7 + (g1*t^8.7)/g2^4 + t^8.7/g2^3 + (3*t^8.7)/(g1*g2^2) + t^8.7/(g1^2*g2) + g1^2*g2*t^8.7 + 3*g1*g2^2*t^8.7 + g2^3*t^8.7 + (g2^4*t^8.7)/g1 - t^4.2/y - t^5.4/y - (2*t^6.6)/y - (g1*t^6.6)/(g2*y) - (g2*t^6.6)/(g1*y) - t^7.2/y + t^7.8/y + (g1*t^7.8)/(g2*y) + (g2*t^7.8)/(g1*y) + t^8.4/y + (2*g1*t^8.4)/(g2*y) + (2*g2*t^8.4)/(g1*y) - t^4.2*y - t^5.4*y - 2*t^6.6*y - (g1*t^6.6*y)/g2 - (g2*t^6.6*y)/g1 - t^7.2*y + t^7.8*y + (g1*t^7.8*y)/g2 + (g2*t^7.8*y)/g1 + t^8.4*y + (2*g1*t^8.4*y)/g2 + (2*g2*t^8.4*y)/g1

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
58873	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.2979	1.5354	0.8453	[X:[1.4], M:[0.8], q:[0.6273, 0.3455], qb:[0.3727, 0.2545], phi:[0.4]]	t^2.15 + 2*t^2.4 + t^2.65 + 2*t^3. + t^3.35 + 2*t^3.85 + 4*t^4.2 + t^4.31 + 3*t^4.55 + 4*t^4.8 + 4*t^5.05 + 2*t^5.15 + t^5.29 + 6*t^5.4 + t^5.51 + t^5.65 + 2*t^5.75 + t^5.89 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 45687/35200, c: 54047/35200, X1: 7/5, M1: 4/5, q1: 69/110, q2: 19/55, qb1: 41/110, qb2: 14/55, phi1: 2/5}

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
47898	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.3298	1.5548	0.8553	[X:[1.4], q:[0.5, 0.3], qb:[0.5, 0.3], phi:[0.4]]	3*t^2.4 + 2*t^3. + 3*t^3.6 + 3*t^4.2 + 2*t^4.5 + 8*t^4.8 + 2*t^5.1 + 5*t^5.4 + 2*t^5.7 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 5319/4000, c: 6219/4000, X1: 7/5, q1: 1/2, q2: 3/10, qb1: 1/2, qb2: 3/10, phi1: 2/5}