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
57354	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4123	1.6672	0.8471	[M:[0.7613, 1.1613], q:[0.4193, 0.3807], qb:[0.4193, 0.3807], phi:[0.4]]	[M:[[1, 0, 1], [1, 0, 1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	5	2*t^2.284 + 3*t^2.4 + 2*t^3.484 + 3*t^3.6 + 3*t^4.568 + 7*t^4.684 + 2*t^4.742 + 8*t^4.8 + 2*t^4.858 + t^4.916 + 4*t^5.768 + 10*t^5.884 + 2*t^5.942 + 5*t^6. + 2*t^6.058 - 2*t^6.116 + 4*t^6.852 + 14*t^6.968 + 6*t^7.026 + 22*t^7.084 + 10*t^7.142 + 18*t^7.2 + 6*t^7.258 + 2*t^7.374 + 6*t^8.052 + 19*t^8.168 + 6*t^8.226 + 20*t^8.284 + 10*t^8.342 + 5*t^8.4 + 2*t^8.458 - 6*t^8.516 - 2*t^8.574 - t^4.2/y - t^5.4/y - (2*t^6.484)/y - (3*t^6.6)/y + t^7.568/y + (3*t^7.684)/y + t^7.916/y + t^8.768/y + (4*t^8.884)/y - t^4.2*y - t^5.4*y - 2*t^6.484*y - 3*t^6.6*y + t^7.568*y + 3*t^7.684*y + t^7.916*y + t^8.768*y + 4*t^8.884*y	2*g1*g3*t^2.284 + t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + 2*g1*g3*t^3.484 + t^3.6 + t^3.6/(g1*g2) + g1*g2*t^3.6 + 3*g1^2*g3^2*t^4.568 + 3*g1*g3*t^4.684 + (2*g3*t^4.684)/g2 + 2*g1^2*g2*g3*t^4.684 + (g1*t^4.742)/(g2*g3) + g2*g3^2*t^4.742 + 2*t^4.8 + t^4.8/(g1^2*g2^2) + (2*t^4.8)/(g1*g2) + 2*g1*g2*t^4.8 + g1^2*g2^2*t^4.8 + t^4.858/(g1*g2^2*g3^2) + g2^2*g3*t^4.858 + t^4.916/(g1*g3) + 4*g1^2*g3^2*t^5.768 + 4*g1*g3*t^5.884 + (3*g3*t^5.884)/g2 + 3*g1^2*g2*g3*t^5.884 + (g1*t^5.942)/(g2*g3) + g2*g3^2*t^5.942 - t^6. + t^6./(g1^2*g2^2) + (2*t^6.)/(g1*g2) + 2*g1*g2*t^6. + g1^2*g2^2*t^6. + t^6.058/(g1*g2^2*g3^2) + g2^2*g3*t^6.058 - t^6.116/(g1^2*g2*g3) - (g2*t^6.116)/g3 + 4*g1^3*g3^3*t^6.852 + 8*g1^2*g3^2*t^6.968 + (3*g1*g3^2*t^6.968)/g2 + 3*g1^3*g2*g3^2*t^6.968 + g1^3*t^7.026 + (2*g1^2*t^7.026)/g2 + g3^3*t^7.026 + 2*g1*g2*g3^3*t^7.026 + 6*g1*g3*t^7.084 + (2*g3*t^7.084)/(g1*g2^2) + (6*g3*t^7.084)/g2 + 6*g1^2*g2*g3*t^7.084 + 2*g1^3*g2^2*g3*t^7.084 + (g1^2*t^7.142)/g3 + (2*t^7.142)/(g2^2*g3) + (2*g1*t^7.142)/(g2*g3) + (g3^2*t^7.142)/g1 + 2*g2*g3^2*t^7.142 + 2*g1*g2^2*g3^2*t^7.142 + 4*t^7.2 + t^7.2/(g1^3*g2^3) + (3*t^7.2)/(g1^2*g2^2) + (3*t^7.2)/(g1*g2) + 3*g1*g2*t^7.2 + 3*g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 + t^7.258/(g1^2*g2^3*g3^2) + (2*t^7.258)/(g1*g2^2*g3^2) + 2*g2^2*g3*t^7.258 + g1*g2^3*g3*t^7.258 + g2^3*t^7.374 + t^7.374/(g1^3*g2^3*g3^3) + 6*g1^3*g3^3*t^8.052 + 9*g1^2*g3^2*t^8.168 + (5*g1*g3^2*t^8.168)/g2 + 5*g1^3*g2*g3^2*t^8.168 + (3*g1^2*t^8.226)/g2 + 3*g1*g2*g3^3*t^8.226 + (3*g3*t^8.284)/(g1*g2^2) + (7*g3*t^8.284)/g2 + 7*g1^2*g2*g3*t^8.284 + 3*g1^3*g2^2*g3*t^8.284 + (g1^2*t^8.342)/g3 + (3*t^8.342)/(g2^2*g3) + (g1*t^8.342)/(g2*g3) + (g3^2*t^8.342)/g1 + g2*g3^2*t^8.342 + 3*g1*g2^2*g3^2*t^8.342 + t^8.4 + t^8.4/(g1^3*g2^3) + (3*t^8.4)/(g1^2*g2^2) - (2*t^8.4)/(g1*g2) - 2*g1*g2*t^8.4 + 3*g1^2*g2^2*t^8.4 + g1^3*g2^3*t^8.4 + t^8.458/(g1^2*g2^3*g3^2) + t^8.458/(g1*g2^2*g3^2) - t^8.458/(g2*g3^2) - (g2*g3*t^8.458)/g1 + g2^2*g3*t^8.458 + g1*g2^3*g3*t^8.458 - (2*t^8.516)/(g1*g3) - t^8.516/(g1^3*g2^2*g3) - t^8.516/(g1^2*g2*g3) - (g2*t^8.516)/g3 - (g1*g2^2*t^8.516)/g3 - (g2^2*t^8.574)/g1 - t^8.574/(g1^2*g2^2*g3^3) - t^4.2/y - t^5.4/y - (2*g1*g3*t^6.484)/y - t^6.6/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y + (g1^2*g3^2*t^7.568)/y - (g1*g3*t^7.684)/y + (2*g3*t^7.684)/(g2*y) + (2*g1^2*g2*g3*t^7.684)/y + t^7.916/(g1*g3*y) + (g1^2*g3^2*t^8.768)/y + (2*g3*t^8.884)/(g2*y) + (2*g1^2*g2*g3*t^8.884)/y - t^4.2*y - t^5.4*y - 2*g1*g3*t^6.484*y - t^6.6*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y + g1^2*g3^2*t^7.568*y - g1*g3*t^7.684*y + (2*g3*t^7.684*y)/g2 + 2*g1^2*g2*g3*t^7.684*y + (t^7.916*y)/(g1*g3) + g1^2*g3^2*t^8.768*y + (2*g3*t^8.884*y)/g2 + 2*g1^2*g2*g3*t^8.884*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
58371	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$	1.4288	1.6962	0.8424	[X:[], M:[0.7613, 1.1613, 0.8], q:[0.4193, 0.3807], qb:[0.4193, 0.3807], phi:[0.4]]	2*t^2.28 + 4*t^2.4 + 2*t^3.48 + 2*t^3.6 + 3*t^4.57 + 9*t^4.68 + 2*t^4.74 + 12*t^4.8 + 2*t^4.86 + t^4.92 + 4*t^5.77 + 10*t^5.88 + 2*t^5.94 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58367	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.3171	1.5608	0.8438	[X:[], M:[0.8502, 1.2502], q:[0.445, 0.5775], qb:[0.3048, 0.2727], phi:[0.4]]	t^2.15 + t^2.4 + 2*t^2.55 + t^2.65 + t^3.35 + t^3.6 + 3*t^3.75 + 2*t^3.85 + t^4.31 + 2*t^4.55 + t^4.65 + 2*t^4.7 + 2*t^4.8 + 4*t^4.95 + 3*t^5.05 + 3*t^5.1 + 2*t^5.2 + t^5.29 + t^5.51 + 2*t^5.75 + 4*t^5.9 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58369	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3361	1.6	0.8351	[X:[], M:[0.6887, 1.0887], q:[0.5982, 0.4035], qb:[0.3131, 0.2852], phi:[0.4]]	2*t^2.07 + t^2.15 + t^2.4 + t^2.65 + 2*t^3.27 + t^3.35 + t^3.6 + 2*t^3.85 + t^3.93 + 3*t^4.13 + 2*t^4.22 + t^4.3 + 3*t^4.47 + 2*t^4.55 + 2*t^4.72 + 2*t^4.8 + 3*t^5.05 + 2*t^5.13 + t^5.3 + 4*t^5.33 + 4*t^5.42 + t^5.5 + 4*t^5.67 + 2*t^5.75 + 5*t^5.92 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
58370	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.4121	1.6665	0.8473	[X:[], M:[0.7648, 1.1648], q:[0.4213, 0.3894], qb:[0.4139, 0.3754], phi:[0.4]]	2*t^2.29 + t^2.39 + t^2.4 + t^2.41 + 2*t^3.49 + t^3.59 + t^3.6 + t^3.61 + 3*t^4.59 + 2*t^4.68 + 4*t^4.69 + 2*t^4.7 + t^4.78 + 2*t^4.79 + 3*t^4.8 + 3*t^4.81 + t^4.82 + t^4.9 + t^4.91 + 4*t^5.79 + 3*t^5.88 + 5*t^5.89 + 3*t^5.9 + t^5.98 + 2*t^5.99 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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
47890	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.427	1.6906	0.8441	[M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]]	2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail