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
58847	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3319	1.5887	0.8384	[X:[], M:[1.0922, 0.8], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]]	[X:[], M:[[-2, -1], [0, 0]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	1	t^2.08 + t^2.15 + 2*t^2.4 + t^2.65 + 2*t^3.28 + t^3.35 + 2*t^3.85 + 2*t^3.92 + t^4.15 + t^4.23 + t^4.3 + 3*t^4.48 + 3*t^4.55 + t^4.73 + 4*t^4.8 + 4*t^5.05 + 2*t^5.12 + t^5.3 + 2*t^5.35 + 3*t^5.43 + t^5.5 + 4*t^5.68 + 2*t^5.75 + 3*t^5.93 + t^6. + t^6.07 + t^6.18 + t^6.23 + 5*t^6.25 + t^6.3 + 5*t^6.32 + t^6.38 + t^6.4 + t^6.45 + 2*t^6.5 + 6*t^6.55 + 6*t^6.63 + 4*t^6.7 + t^6.8 + 5*t^6.88 + 5*t^6.95 + 7*t^7.13 + 11*t^7.2 + t^7.25 + 2*t^7.27 + t^7.38 + 2*t^7.43 + 6*t^7.45 + 3*t^7.5 + 2*t^7.52 + 3*t^7.58 + t^7.65 + 6*t^7.7 + 6*t^7.75 + 2*t^7.77 + 9*t^7.83 + 2*t^7.85 + 3*t^7.9 + t^7.95 + 3*t^8. + 6*t^8.08 + t^8.15 + t^8.22 + t^8.25 + t^8.31 + 11*t^8.33 + t^8.38 + 8*t^8.4 + t^8.45 + 5*t^8.47 + t^8.53 + t^8.55 + 4*t^8.58 + t^8.6 + 6*t^8.63 + 4*t^8.65 + 8*t^8.7 + 4*t^8.72 + 6*t^8.78 + t^8.8 + t^8.83 + 4*t^8.85 + t^8.88 + 7*t^8.9 + 12*t^8.95 + 5*t^8.97 - t^4.2/y - t^5.4/y - t^6.28/y - t^6.35/y - (2*t^6.6)/y - t^6.85/y + t^7.23/y + t^7.55/y + t^7.73/y + t^7.8/y + t^8.05/y + t^8.35/y + (2*t^8.43)/y - t^8.75/y + (3*t^8.93)/y - t^4.2*y - t^5.4*y - t^6.28*y - t^6.35*y - 2*t^6.6*y - t^6.85*y + t^7.23*y + t^7.55*y + t^7.73*y + t^7.8*y + t^8.05*y + t^8.35*y + 2*t^8.43*y - t^8.75*y + 3*t^8.93*y	t^2.08/(g1^2*g2) + t^2.15/(g1*g2^2) + 2*t^2.4 + g1*g2^2*t^2.65 + (2*t^3.28)/(g1^2*g2) + t^3.35/(g1*g2^2) + 2*g1*g2^2*t^3.85 + 2*g1^2*g2*t^3.92 + t^4.15/(g1^4*g2^2) + t^4.23/(g1^3*g2^3) + t^4.3/(g1^2*g2^4) + (3*t^4.48)/(g1^2*g2) + (3*t^4.55)/(g1*g2^2) + (g2*t^4.73)/g1 + 4*t^4.8 + 4*g1*g2^2*t^5.05 + 2*g1^2*g2*t^5.12 + g1^2*g2^4*t^5.3 + (2*t^5.35)/(g1^4*g2^2) + (3*t^5.43)/(g1^3*g2^3) + t^5.5/(g1^2*g2^4) + (4*t^5.68)/(g1^2*g2) + (2*t^5.75)/(g1*g2^2) + (3*g2*t^5.93)/g1 + t^6. + (g1*t^6.07)/g2 + g2^3*t^6.18 + t^6.23/(g1^6*g2^3) + 5*g1*g2^2*t^6.25 + t^6.3/(g1^5*g2^4) + 5*g1^2*g2*t^6.32 + t^6.38/(g1^4*g2^5) + g1^3*t^6.4 + t^6.45/(g1^3*g2^6) + 2*g1^2*g2^4*t^6.5 + (6*t^6.55)/(g1^4*g2^2) + (6*t^6.63)/(g1^3*g2^3) + (4*t^6.7)/(g1^2*g2^4) + t^6.8/g1^3 + (5*t^6.88)/(g1^2*g2) + (5*t^6.95)/(g1*g2^2) + (7*g2*t^7.13)/g1 + 11*t^7.2 + t^7.25/(g1^6*g2^6) + (2*g1*t^7.27)/g2 + g2^3*t^7.38 + (2*t^7.43)/(g1^6*g2^3) + 6*g1*g2^2*t^7.45 + (3*t^7.5)/(g1^5*g2^4) + 2*g1^2*g2*t^7.52 + (3*t^7.58)/(g1^4*g2^5) + t^7.65/(g1^3*g2^6) + 6*g1^2*g2^4*t^7.7 + (6*t^7.75)/(g1^4*g2^2) + 2*g1^3*g2^3*t^7.77 + (9*t^7.83)/(g1^3*g2^3) + 2*g1^4*g2^2*t^7.85 + (3*t^7.9)/(g1^2*g2^4) + g1^3*g2^6*t^7.95 + (3*t^8.)/g1^3 + (6*t^8.08)/(g1^2*g2) + t^8.15/(g1*g2^2) + t^8.22/g2^3 + (g2^2*t^8.25)/g1^2 + t^8.31/(g1^8*g2^4) + (11*g2*t^8.33)/g1 + t^8.38/(g1^7*g2^5) + 8*t^8.4 + t^8.45/(g1^6*g2^6) + (5*g1*t^8.47)/g2 + t^8.53/(g1^5*g2^7) + (g1^2*t^8.55)/g2^2 + 4*g2^3*t^8.58 + t^8.6/(g1^4*g2^8) + (6*t^8.63)/(g1^6*g2^3) + 4*g1*g2^2*t^8.65 + (8*t^8.7)/(g1^5*g2^4) + 4*g1^2*g2*t^8.72 + (6*t^8.78)/(g1^4*g2^5) + g1^3*t^8.8 + g1*g2^5*t^8.83 + (4*t^8.85)/(g1^3*g2^6) + t^8.88/(g1^5*g2) + 7*g1^2*g2^4*t^8.9 + (12*t^8.95)/(g1^4*g2^2) + 5*g1^3*g2^3*t^8.97 - t^4.2/y - t^5.4/y - t^6.28/(g1^2*g2*y) - t^6.35/(g1*g2^2*y) - (2*t^6.6)/y - (g1*g2^2*t^6.85)/y + t^7.23/(g1^3*g2^3*y) + t^7.55/(g1*g2^2*y) + (g2*t^7.73)/(g1*y) + t^7.8/y + (g1*g2^2*t^8.05)/y + t^8.35/(g1^4*g2^2*y) + (2*t^8.43)/(g1^3*g2^3*y) - t^8.75/(g1*g2^2*y) + (3*g2*t^8.93)/(g1*y) - t^4.2*y - t^5.4*y - (t^6.28*y)/(g1^2*g2) - (t^6.35*y)/(g1*g2^2) - 2*t^6.6*y - g1*g2^2*t^6.85*y + (t^7.23*y)/(g1^3*g2^3) + (t^7.55*y)/(g1*g2^2) + (g2*t^7.73*y)/g1 + t^7.8*y + g1*g2^2*t^8.05*y + (t^8.35*y)/(g1^4*g2^2) + (2*t^8.43*y)/(g1^3*g2^3) - (t^8.75*y)/(g1*g2^2) + (3*g2*t^8.93*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
61190	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$	1.3526	1.629	0.8303	[X:[], M:[1.0887, 0.8, 0.6887], q:[0.5982, 0.4035], qb:[0.3131, 0.2852], phi:[0.4]]	2*t^2.07 + t^2.15 + 2*t^2.4 + t^2.65 + 2*t^3.27 + t^3.35 + 2*t^3.85 + t^3.93 + 3*t^4.13 + 2*t^4.22 + t^4.3 + 5*t^4.47 + 3*t^4.55 + 2*t^4.72 + 4*t^4.8 + 4*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 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
61032	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	1.3119	1.5514	0.8456	[X:[], M:[1.0923, 0.8, 1.275], q:[0.5942, 0.4116], qb:[0.3135, 0.2807], phi:[0.4]]	t^2.08 + 2*t^2.4 + t^2.62 + 2*t^3.28 + t^3.38 + 3*t^3.82 + 2*t^3.92 + t^4.15 + 3*t^4.48 + t^4.58 + t^4.7 + 3*t^4.8 + 4*t^5.02 + 2*t^5.12 + t^5.25 + 2*t^5.35 + t^5.45 + 4*t^5.68 + 2*t^5.78 + 4*t^5.9 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
60969	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	1.3314	1.5874	0.8388	[X:[], M:[1.1048, 0.8], q:[0.5968, 0.4063], qb:[0.2984, 0.2984], phi:[0.4]]	2*t^2.11 + 2*t^2.4 + t^2.69 + 3*t^3.31 + 4*t^3.89 + 3*t^4.23 + 6*t^4.51 + 5*t^4.8 + 6*t^5.09 + t^5.37 + 6*t^5.43 + 6*t^5.71 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 195719/147000, c: 29168/18375, M1: 116/105, M2: 4/5, q1: 188/315, q2: 128/315, qb1: 94/315, qb2: 94/315, 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
57448	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4107	1.662	0.8488	[M:[1.1779, 0.8], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]]	t^2.334 + 4*t^2.4 + 2*t^3.534 + 2*t^3.6 + t^3.666 + t^4.668 + 5*t^4.734 + 2*t^4.767 + 12*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 8*t^5.934 + 2*t^5.967 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail