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
58451	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$	1.4105	1.6615	0.8489	[X:[], M:[0.7838, 1.2], q:[0.4098, 0.3951], qb:[0.4065, 0.3887], phi:[0.4]]	[X:[], M:[[1, 2], [0, 0]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	5	2*t^2.35 + 2*t^2.4 + t^2.45 + t^3.55 + 4*t^3.6 + 3*t^4.7 + 4*t^4.75 + 2*t^4.76 + t^4.79 + 7*t^4.8 + t^4.81 + 2*t^4.84 + 2*t^4.85 + t^4.9 + 2*t^5.9 + 7*t^5.95 + 2*t^5.96 + t^5.99 + 5*t^6. + t^6.01 + t^6.04 + 2*t^6.05 + 4*t^7.05 + 9*t^7.1 + 3*t^7.11 + 2*t^7.14 + 13*t^7.15 + 8*t^7.16 + 3*t^7.19 + 19*t^7.2 + 4*t^7.21 + 4*t^7.24 + 5*t^7.25 + 2*t^7.26 + 3*t^7.29 + 2*t^7.3 + t^7.35 + 3*t^8.25 + 12*t^8.3 + 3*t^8.31 + 2*t^8.34 + 7*t^8.35 + 9*t^8.36 + 4*t^8.39 + 9*t^8.4 + 5*t^8.41 + 4*t^8.44 + 2*t^8.5 - t^4.2/y - t^5.4/y - (2*t^6.55)/y - (2*t^6.6)/y - t^6.65/y + t^7.7/y + (2*t^7.76)/y + t^7.84/y + t^7.85/y - t^8.9/y + (4*t^8.95)/y + t^8.96/y - t^4.2*y - t^5.4*y - 2*t^6.55*y - 2*t^6.6*y - t^6.65*y + t^7.7*y + 2*t^7.76*y + t^7.84*y + t^7.85*y - t^8.9*y + 4*t^8.95*y + t^8.96*y	2*g1*g2^2*t^2.35 + t^2.4/(g1^2*g2) + g1^2*g2*t^2.4 + t^2.45/(g1*g2^2) + g1*g2^2*t^3.55 + 2*t^3.6 + t^3.6/(g1^2*g2) + g1^2*g2*t^3.6 + 3*g1^2*g2^4*t^4.7 + (2*g2*t^4.75)/g1 + 2*g1*g2^2*t^4.75 + 2*g1^3*g2^3*t^4.76 + t^4.79/(g1^4*g2^2) + 4*t^4.8 + t^4.8/(g1^2*g2) + 2*g1^2*g2*t^4.8 + g1^4*g2^2*t^4.81 + (2*t^4.84)/(g1^3*g2^3) + t^4.85/(g1*g2^2) + (g1*t^4.85)/g2 + t^4.9/(g1^2*g2^4) + 2*g1^2*g2^4*t^5.9 + (2*g2*t^5.95)/g1 + 5*g1*g2^2*t^5.95 + 2*g1^3*g2^3*t^5.96 + t^5.99/(g1^4*g2^2) + (2*t^6.)/(g1^2*g2) + 3*g1^2*g2*t^6. + g1^4*g2^2*t^6.01 + t^6.04/(g1^3*g2^3) + (2*t^6.05)/(g1*g2^2) + 4*g1^3*g2^6*t^7.05 + 4*g2^3*t^7.1 + 5*g1^2*g2^4*t^7.1 + 3*g1^4*g2^5*t^7.11 + (2*t^7.14)/g1^3 + (4*g2*t^7.15)/g1 + 9*g1*g2^2*t^7.15 + 6*g1^3*g2^3*t^7.16 + 2*g1^5*g2^4*t^7.16 + t^7.19/(g1^6*g2^3) + (2*t^7.19)/(g1^4*g2^2) + 7*t^7.2 + (6*t^7.2)/(g1^2*g2) + 6*g1^2*g2*t^7.2 + 3*g1^4*g2^2*t^7.21 + g1^6*g2^3*t^7.21 + (2*t^7.24)/(g1^5*g2^4) + (2*t^7.24)/(g1^3*g2^3) + (3*t^7.25)/(g1*g2^2) + (2*g1*t^7.25)/g2 + 2*g1^3*t^7.26 + t^7.29/(g1^6*g2^6) + (2*t^7.29)/(g1^4*g2^5) + t^7.3/(g1^2*g2^4) + t^7.3/g2^3 + t^7.35/(g1^3*g2^6) + 3*g1^3*g2^6*t^8.25 + 3*g2^3*t^8.3 + 9*g1^2*g2^4*t^8.3 + 3*g1^4*g2^5*t^8.31 + (2*t^8.34)/g1^3 + (6*g2*t^8.35)/g1 + g1*g2^2*t^8.35 + 7*g1^3*g2^3*t^8.36 + 2*g1^5*g2^4*t^8.36 + t^8.39/(g1^6*g2^3) + (3*t^8.39)/(g1^4*g2^2) + 7*t^8.4 + t^8.4/(g1^2*g2) + g1^2*g2*t^8.4 + 4*g1^4*g2^2*t^8.41 + g1^6*g2^3*t^8.41 + t^8.44/(g1^5*g2^4) + (3*t^8.44)/(g1^3*g2^3) - (2*t^8.45)/(g1*g2^2) + (2*g1*t^8.45)/g2 + (2*t^8.5)/(g1^2*g2^4) - t^4.2/y - t^5.4/y - (2*g1*g2^2*t^6.55)/y - t^6.6/(g1^2*g2*y) - (g1^2*g2*t^6.6)/y - t^6.65/(g1*g2^2*y) + (g1^2*g2^4*t^7.7)/y + (2*g2*t^7.75)/(g1*y) - (2*g1*g2^2*t^7.75)/y + (2*g1^3*g2^3*t^7.76)/y + (2*t^7.8)/y - t^7.8/(g1^2*g2*y) - (g1^2*g2*t^7.8)/y + t^7.84/(g1^3*g2^3*y) + (g1*t^7.85)/(g2*y) - (g1^2*g2^4*t^8.9)/y + (g2*t^8.95)/(g1*y) + (3*g1*g2^2*t^8.95)/y + (g1^3*g2^3*t^8.96)/y - t^4.2*y - t^5.4*y - 2*g1*g2^2*t^6.55*y - (t^6.6*y)/(g1^2*g2) - g1^2*g2*t^6.6*y - (t^6.65*y)/(g1*g2^2) + g1^2*g2^4*t^7.7*y + (2*g2*t^7.75*y)/g1 - 2*g1*g2^2*t^7.75*y + 2*g1^3*g2^3*t^7.76*y + 2*t^7.8*y - (t^7.8*y)/(g1^2*g2) - g1^2*g2*t^7.8*y + (t^7.84*y)/(g1^3*g2^3) + (g1*t^7.85*y)/g2 - g1^2*g2^4*t^8.9*y + (g2*t^8.95*y)/g1 + 3*g1*g2^2*t^8.95*y + g1^3*g2^3*t^8.96*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
61260	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	1.3956	1.6375	0.8523	[X:[], M:[0.7648, 1.2, 1.1648], q:[0.4213, 0.3894], qb:[0.4139, 0.3754], phi:[0.4]]	2*t^2.29 + t^2.39 + t^2.41 + 2*t^3.49 + t^3.59 + 2*t^3.6 + t^3.61 + 3*t^4.59 + 2*t^4.68 + 2*t^4.69 + 2*t^4.7 + t^4.78 + t^4.79 + 2*t^4.8 + 2*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^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
61144	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$	1.1451	1.3588	0.8427	[X:[1.6], M:[0.7804, 1.2], q:[0.6798, 0.2601], qb:[0.1399, 0.5202], phi:[0.4]]	2*t^2.34 + t^2.4 + t^2.46 + t^3.54 + 5*t^3.6 + 3*t^4.68 + 3*t^4.74 + 7*t^4.8 + 2*t^4.86 + t^4.92 + 2*t^5.88 + 11*t^5.94 + 3*t^6. - 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
57351	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.427	1.6905	0.8441	[M:[0.7838], q:[0.4098, 0.3951], qb:[0.4065, 0.3887], phi:[0.4]]	2*t^2.351 + t^2.395 + t^2.4 + t^2.405 + t^2.449 + t^3.551 + t^3.595 + t^3.6 + t^3.605 + 3*t^4.703 + 2*t^4.747 + 4*t^4.751 + 2*t^4.756 + t^4.791 + 2*t^4.795 + 5*t^4.8 + 3*t^4.805 + t^4.809 + 2*t^4.844 + 2*t^4.849 + t^4.853 + t^4.897 + 2*t^5.903 + 2*t^5.947 + 4*t^5.951 + 2*t^5.956 + t^5.991 + 2*t^5.995 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail