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
57599	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3084	1.5459	0.8464	[X:[], M:[1.2], q:[0.5888, 0.4225], qb:[0.2944, 0.2944], phi:[0.4]]	[X:[], M:[[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
${}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	6	2*t^2.15 + 2*t^2.65 + 2*t^3.35 + 2*t^3.6 + 4*t^3.85 + 3*t^4.3 + 2*t^4.55 + 4*t^4.8 + 4*t^5.05 + 3*t^5.3 + 4*t^5.5 + 4*t^5.75 + 6*t^6. + 8*t^6.25 + 4*t^6.45 + 6*t^6.5 + 7*t^6.7 + 8*t^6.95 + 13*t^7.2 + t^7.4 + 10*t^7.45 + 6*t^7.65 + 12*t^7.7 + 10*t^7.9 + 4*t^7.95 + 8*t^8.15 + 20*t^8.4 + 5*t^8.6 + 6*t^8.65 + 10*t^8.85 + 22*t^8.9 - t^4.2/y - t^5.4/y - (2*t^6.35)/y - (2*t^6.85)/y + t^7.3/y - (2*t^7.55)/y + (3*t^7.8)/y - (2*t^8.05)/y + t^8.3/y + t^8.5/y + (2*t^8.75)/y - t^4.2*y - t^5.4*y - 2*t^6.35*y - 2*t^6.85*y + t^7.3*y - 2*t^7.55*y + 3*t^7.8*y - 2*t^8.05*y + t^8.3*y + t^8.5*y + 2*t^8.75*y	t^2.15/(g1*g2^2) + t^2.15/(g1^2*g2) + g1^2*g2*t^2.65 + g1*g2^2*t^2.65 + t^3.35/(g1*g2^2) + t^3.35/(g1^2*g2) + 2*t^3.6 + 2*g1^2*g2*t^3.85 + 2*g1*g2^2*t^3.85 + t^4.3/(g1^2*g2^4) + t^4.3/(g1^3*g2^3) + t^4.3/(g1^4*g2^2) + t^4.55/(g1*g2^2) + t^4.55/(g1^2*g2) + 2*t^4.8 + (g1*t^4.8)/g2 + (g2*t^4.8)/g1 + 2*g1^2*g2*t^5.05 + 2*g1*g2^2*t^5.05 + g1^4*g2^2*t^5.3 + g1^3*g2^3*t^5.3 + g1^2*g2^4*t^5.3 + t^5.5/(g1^2*g2^4) + (2*t^5.5)/(g1^3*g2^3) + t^5.5/(g1^4*g2^2) + (2*t^5.75)/(g1*g2^2) + (2*t^5.75)/(g1^2*g2) + 2*t^6. + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + g1^3*t^6.25 + 3*g1^2*g2*t^6.25 + 3*g1*g2^2*t^6.25 + g2^3*t^6.25 + t^6.45/(g1^3*g2^6) + t^6.45/(g1^4*g2^5) + t^6.45/(g1^5*g2^4) + t^6.45/(g1^6*g2^3) + 2*g1^4*g2^2*t^6.5 + 2*g1^3*g2^3*t^6.5 + 2*g1^2*g2^4*t^6.5 + (2*t^6.7)/(g1^2*g2^4) + (3*t^6.7)/(g1^3*g2^3) + (2*t^6.7)/(g1^4*g2^2) + t^6.95/g1^3 + t^6.95/g2^3 + (3*t^6.95)/(g1*g2^2) + (3*t^6.95)/(g1^2*g2) + 7*t^7.2 + (3*g1*t^7.2)/g2 + (3*g2*t^7.2)/g1 + t^7.4/(g1^6*g2^6) + g1^3*t^7.45 + 4*g1^2*g2*t^7.45 + 4*g1*g2^2*t^7.45 + g2^3*t^7.45 + t^7.65/(g1^3*g2^6) + (2*t^7.65)/(g1^4*g2^5) + (2*t^7.65)/(g1^5*g2^4) + t^7.65/(g1^6*g2^3) + 4*g1^4*g2^2*t^7.7 + 4*g1^3*g2^3*t^7.7 + 4*g1^2*g2^4*t^7.7 + (3*t^7.9)/(g1^2*g2^4) + (4*t^7.9)/(g1^3*g2^3) + (3*t^7.9)/(g1^4*g2^2) + g1^6*g2^3*t^7.95 + g1^5*g2^4*t^7.95 + g1^4*g2^5*t^7.95 + g1^3*g2^6*t^7.95 + (2*t^8.15)/g1^3 + (2*t^8.15)/g2^3 + (2*t^8.15)/(g1*g2^2) + (2*t^8.15)/(g1^2*g2) + 8*t^8.4 + (g1^2*t^8.4)/g2^2 + (5*g1*t^8.4)/g2 + (5*g2*t^8.4)/g1 + (g2^2*t^8.4)/g1^2 + t^8.6/(g1^4*g2^8) + t^8.6/(g1^5*g2^7) + t^8.6/(g1^6*g2^6) + t^8.6/(g1^7*g2^5) + t^8.6/(g1^8*g2^4) + g1^3*t^8.65 + 2*g1^2*g2*t^8.65 + 2*g1*g2^2*t^8.65 + g2^3*t^8.65 + (2*t^8.85)/(g1^3*g2^6) + (3*t^8.85)/(g1^4*g2^5) + (3*t^8.85)/(g1^5*g2^4) + (2*t^8.85)/(g1^6*g2^3) + g1^5*g2*t^8.9 + 6*g1^4*g2^2*t^8.9 + 8*g1^3*g2^3*t^8.9 + 6*g1^2*g2^4*t^8.9 + g1*g2^5*t^8.9 - t^4.2/y - t^5.4/y - t^6.35/(g1*g2^2*y) - t^6.35/(g1^2*g2*y) - (g1^2*g2*t^6.85)/y - (g1*g2^2*t^6.85)/y + t^7.3/(g1^3*g2^3*y) - t^7.55/(g1*g2^2*y) - t^7.55/(g1^2*g2*y) + t^7.8/y + (g1*t^7.8)/(g2*y) + (g2*t^7.8)/(g1*y) - (g1^2*g2*t^8.05)/y - (g1*g2^2*t^8.05)/y + (g1^3*g2^3*t^8.3)/y + t^8.5/(g1^3*g2^3*y) + t^8.75/(g1*g2^2*y) + t^8.75/(g1^2*g2*y) - t^4.2*y - t^5.4*y - (t^6.35*y)/(g1*g2^2) - (t^6.35*y)/(g1^2*g2) - g1^2*g2*t^6.85*y - g1*g2^2*t^6.85*y + (t^7.3*y)/(g1^3*g2^3) - (t^7.55*y)/(g1*g2^2) - (t^7.55*y)/(g1^2*g2) + t^7.8*y + (g1*t^7.8*y)/g2 + (g2*t^7.8*y)/g1 - g1^2*g2*t^8.05*y - g1*g2^2*t^8.05*y + g1^3*g2^3*t^8.3*y + (t^8.5*y)/(g1^3*g2^3) + (t^8.75*y)/(g1*g2^2) + (t^8.75*y)/(g1^2*g2)

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
59022	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.1543	1.3599	0.8488	[X:[1.5106], M:[1.2], q:[0.6071, 0.3859], qb:[0.5035, 0.1035], phi:[0.4]]	t^2.13 + 2*t^2.67 + 3*t^3.33 + 2*t^3.6 + 2*t^3.87 + t^4.26 + 6*t^4.53 + t^4.8 + t^5.07 + 3*t^5.34 + 3*t^5.46 + 5*t^5.73 + 2*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
47926	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}^{2}$	1.3935	1.631	0.8544	[M:[1.2], q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]]	4*t^2.4 + 6*t^3.6 + 18*t^4.8 + 20*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 2787/2000, c: 1631/1000, M1: 6/5, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5}