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
58341	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	1.3958	1.6382	0.8521	[X:[], M:[0.7613, 1.2, 1.1613], q:[0.4193, 0.3807], qb:[0.4193, 0.3807], phi:[0.4]]	[X:[], M:[[1, 0, 1], [0, 0, 0], [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
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	${}M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	4	2*t^2.28 + 2*t^2.4 + 2*t^3.48 + 4*t^3.6 + 3*t^4.57 + 5*t^4.68 + 2*t^4.74 + 5*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. + 2*t^6.06 - 2*t^6.12 + 4*t^6.85 + 11*t^6.97 + 6*t^7.03 + 17*t^7.08 + 8*t^7.14 + 14*t^7.2 + 4*t^7.26 - t^7.32 + 2*t^7.37 + 6*t^8.05 + 18*t^8.17 + 6*t^8.23 + 15*t^8.28 + 10*t^8.34 + 5*t^8.4 + 2*t^8.46 - 3*t^8.52 - 2*t^8.57 - t^4.2/y - t^5.4/y - (2*t^6.48)/y - (2*t^6.6)/y + t^7.57/y + t^7.68/y - (2*t^7.8)/y + t^7.92/y + t^8.77/y + (6*t^8.88)/y - t^4.2*y - t^5.4*y - 2*t^6.48*y - 2*t^6.6*y + t^7.57*y + t^7.68*y - 2*t^7.8*y + t^7.92*y + t^8.77*y + 6*t^8.88*y	2*g1*g3*t^2.28 + t^2.4/(g1*g2) + g1*g2*t^2.4 + 2*g1*g3*t^3.48 + 2*t^3.6 + t^3.6/(g1*g2) + g1*g2*t^3.6 + 3*g1^2*g3^2*t^4.57 + g1*g3*t^4.68 + (2*g3*t^4.68)/g2 + 2*g1^2*g2*g3*t^4.68 + (g1*t^4.74)/(g2*g3) + g2*g3^2*t^4.74 + t^4.8 + t^4.8/(g1^2*g2^2) + t^4.8/(g1*g2) + g1*g2*t^4.8 + g1^2*g2^2*t^4.8 + t^4.86/(g1*g2^2*g3^2) + g2^2*g3*t^4.86 + t^4.92/(g1*g3) + 4*g1^2*g3^2*t^5.77 + 4*g1*g3*t^5.88 + (3*g3*t^5.88)/g2 + 3*g1^2*g2*g3*t^5.88 + (g1*t^5.94)/(g2*g3) + g2*g3^2*t^5.94 - 2*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^6.06/(g1*g2^2*g3^2) + g2^2*g3*t^6.06 - t^6.12/(g1^2*g2*g3) - (g2*t^6.12)/g3 + 4*g1^3*g3^3*t^6.85 + 5*g1^2*g3^2*t^6.97 + (3*g1*g3^2*t^6.97)/g2 + 3*g1^3*g2*g3^2*t^6.97 + g1^3*t^7.03 + (2*g1^2*t^7.03)/g2 + g3^3*t^7.03 + 2*g1*g2*g3^3*t^7.03 + 5*g1*g3*t^7.08 + (2*g3*t^7.08)/(g1*g2^2) + (4*g3*t^7.08)/g2 + 4*g1^2*g2*g3*t^7.08 + 2*g1^3*g2^2*g3*t^7.08 + (g1^2*t^7.14)/g3 + (2*t^7.14)/(g2^2*g3) + (g1*t^7.14)/(g2*g3) + (g3^2*t^7.14)/g1 + g2*g3^2*t^7.14 + 2*g1*g2^2*g3^2*t^7.14 + 4*t^7.2 + t^7.2/(g1^3*g2^3) + (2*t^7.2)/(g1^2*g2^2) + (2*t^7.2)/(g1*g2) + 2*g1*g2*t^7.2 + 2*g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 + t^7.26/(g1^2*g2^3*g3^2) + t^7.26/(g1*g2^2*g3^2) + g2^2*g3*t^7.26 + g1*g2^3*g3*t^7.26 - t^7.32/(g1*g3) + g2^3*t^7.37 + t^7.37/(g1^3*g2^3*g3^3) + 6*g1^3*g3^3*t^8.05 + 8*g1^2*g3^2*t^8.17 + (5*g1*g3^2*t^8.17)/g2 + 5*g1^3*g2*g3^2*t^8.17 + (3*g1^2*t^8.23)/g2 + 3*g1*g2*g3^3*t^8.23 - 3*g1*g3*t^8.28 + (3*g3*t^8.28)/(g1*g2^2) + (6*g3*t^8.28)/g2 + 6*g1^2*g2*g3*t^8.28 + 3*g1^3*g2^2*g3*t^8.28 + (g1^2*t^8.34)/g3 + (3*t^8.34)/(g2^2*g3) + (g1*t^8.34)/(g2*g3) + (g3^2*t^8.34)/g1 + g2*g3^2*t^8.34 + 3*g1*g2^2*g3^2*t^8.34 + 3*t^8.4 + t^8.4/(g1^3*g2^3) + (3*t^8.4)/(g1^2*g2^2) - (3*t^8.4)/(g1*g2) - 3*g1*g2*t^8.4 + 3*g1^2*g2^2*t^8.4 + g1^3*g2^3*t^8.4 + t^8.46/(g1^2*g2^3*g3^2) + t^8.46/(g1*g2^2*g3^2) - t^8.46/(g2*g3^2) - (g2*g3*t^8.46)/g1 + g2^2*g3*t^8.46 + g1*g2^3*g3*t^8.46 - t^8.52/(g1*g3) - t^8.52/(g1^3*g2^2*g3) - (g1*g2^2*t^8.52)/g3 - (g2^2*t^8.57)/g1 - t^8.57/(g1^2*g2^2*g3^3) - t^4.2/y - t^5.4/y - (2*g1*g3*t^6.48)/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y + (g1^2*g3^2*t^7.57)/y - (3*g1*g3*t^7.68)/y + (2*g3*t^7.68)/(g2*y) + (2*g1^2*g2*g3*t^7.68)/y - t^7.8/(g1*g2*y) - (g1*g2*t^7.8)/y + t^7.92/(g1*g3*y) + (g1^2*g3^2*t^8.77)/y + (2*g1*g3*t^8.88)/y + (2*g3*t^8.88)/(g2*y) + (2*g1^2*g2*g3*t^8.88)/y - t^4.2*y - t^5.4*y - 2*g1*g3*t^6.48*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y + g1^2*g3^2*t^7.57*y - 3*g1*g3*t^7.68*y + (2*g3*t^7.68*y)/g2 + 2*g1^2*g2*g3*t^7.68*y - (t^7.8*y)/(g1*g2) - g1*g2*t^7.8*y + (t^7.92*y)/(g1*g3) + g1^2*g3^2*t^8.77*y + 2*g1*g3*t^8.88*y + (2*g3*t^8.88*y)/g2 + 2*g1^2*g2*g3*t^8.88*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
61036	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$	1.1576	1.363	0.8493	[X:[1.6], M:[0.7567, 1.2, 1.1567], q:[0.2144, 0.5712], qb:[0.6288, 0.1856], phi:[0.4]]	2*t^2.27 + t^2.4 + 2*t^3.47 + 4*t^3.6 + 2*t^4.2 + 3*t^4.54 + 2*t^4.67 + 3*t^4.8 + 2*t^5.27 + 2*t^5.4 + 2*t^5.53 + 4*t^5.74 + 9*t^5.87 - 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
57352	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$	1.4105	1.6616	0.8489	[M:[0.7823, 1.2], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]]	2*t^2.347 + 2*t^2.4 + t^2.453 + t^3.547 + 4*t^3.6 + 3*t^4.694 + 5*t^4.747 + 2*t^4.773 + 7*t^4.8 + 2*t^4.827 + 3*t^4.853 + t^4.906 + 2*t^5.894 + 8*t^5.947 + 2*t^5.973 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail