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
47927	SU3adj1nf2	${}\phi_{1}^{5}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3249	1.5749	0.8413	[q:[0.5888, 0.4225], qb:[0.2944, 0.2944], phi:[0.4]]	[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
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	7	2*t^2.151 + t^2.4 + 2*t^2.649 + 2*t^3.351 + t^3.6 + 4*t^3.849 + 3*t^4.301 + 4*t^4.551 + 5*t^4.8 + 6*t^5.049 + 3*t^5.299 + 4*t^5.501 + 4*t^5.751 + 7*t^6. + 10*t^6.249 + 4*t^6.452 + 6*t^6.499 + 10*t^6.701 + 10*t^6.951 + 16*t^7.2 + t^7.402 + 12*t^7.449 + 6*t^7.652 + 15*t^7.699 + 11*t^7.901 + 4*t^7.948 + 10*t^8.151 + 23*t^8.4 + 5*t^8.602 + 12*t^8.649 + 14*t^8.852 + 25*t^8.899 - t^4.2/y - t^5.4/y - (2*t^6.351)/y - t^6.6/y - (2*t^6.849)/y + t^7.301/y + (3*t^7.8)/y + t^8.299/y + t^8.501/y - t^4.2*y - t^5.4*y - 2*t^6.351*y - t^6.6*y - 2*t^6.849*y + t^7.301*y + 3*t^7.8*y + t^8.299*y + t^8.501*y	t^2.151/(g1*g2^2) + t^2.151/(g1^2*g2) + t^2.4 + g1^2*g2*t^2.649 + g1*g2^2*t^2.649 + t^3.351/(g1*g2^2) + t^3.351/(g1^2*g2) + t^3.6 + 2*g1^2*g2*t^3.849 + 2*g1*g2^2*t^3.849 + t^4.301/(g1^2*g2^4) + t^4.301/(g1^3*g2^3) + t^4.301/(g1^4*g2^2) + (2*t^4.551)/(g1*g2^2) + (2*t^4.551)/(g1^2*g2) + 3*t^4.8 + (g1*t^4.8)/g2 + (g2*t^4.8)/g1 + 3*g1^2*g2*t^5.049 + 3*g1*g2^2*t^5.049 + g1^4*g2^2*t^5.299 + g1^3*g2^3*t^5.299 + g1^2*g2^4*t^5.299 + t^5.501/(g1^2*g2^4) + (2*t^5.501)/(g1^3*g2^3) + t^5.501/(g1^4*g2^2) + (2*t^5.751)/(g1*g2^2) + (2*t^5.751)/(g1^2*g2) + 3*t^6. + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + g1^3*t^6.249 + 4*g1^2*g2*t^6.249 + 4*g1*g2^2*t^6.249 + g2^3*t^6.249 + t^6.452/(g1^3*g2^6) + t^6.452/(g1^4*g2^5) + t^6.452/(g1^5*g2^4) + t^6.452/(g1^6*g2^3) + 2*g1^4*g2^2*t^6.499 + 2*g1^3*g2^3*t^6.499 + 2*g1^2*g2^4*t^6.499 + (3*t^6.701)/(g1^2*g2^4) + (4*t^6.701)/(g1^3*g2^3) + (3*t^6.701)/(g1^4*g2^2) + t^6.951/g1^3 + t^6.951/g2^3 + (4*t^6.951)/(g1*g2^2) + (4*t^6.951)/(g1^2*g2) + 8*t^7.2 + (4*g1*t^7.2)/g2 + (4*g2*t^7.2)/g1 + t^7.402/(g1^6*g2^6) + g1^3*t^7.449 + 5*g1^2*g2*t^7.449 + 5*g1*g2^2*t^7.449 + g2^3*t^7.449 + t^7.652/(g1^3*g2^6) + (2*t^7.652)/(g1^4*g2^5) + (2*t^7.652)/(g1^5*g2^4) + t^7.652/(g1^6*g2^3) + 5*g1^4*g2^2*t^7.699 + 5*g1^3*g2^3*t^7.699 + 5*g1^2*g2^4*t^7.699 + (3*t^7.901)/(g1^2*g2^4) + (5*t^7.901)/(g1^3*g2^3) + (3*t^7.901)/(g1^4*g2^2) + g1^6*g2^3*t^7.948 + g1^5*g2^4*t^7.948 + g1^4*g2^5*t^7.948 + g1^3*g2^6*t^7.948 + (2*t^8.151)/g1^3 + (2*t^8.151)/g2^3 + (3*t^8.151)/(g1*g2^2) + (3*t^8.151)/(g1^2*g2) + 9*t^8.4 + (g1^2*t^8.4)/g2^2 + (6*g1*t^8.4)/g2 + (6*g2*t^8.4)/g1 + (g2^2*t^8.4)/g1^2 + t^8.602/(g1^4*g2^8) + t^8.602/(g1^5*g2^7) + t^8.602/(g1^6*g2^6) + t^8.602/(g1^7*g2^5) + t^8.602/(g1^8*g2^4) + 2*g1^3*t^8.649 + 4*g1^2*g2*t^8.649 + 4*g1*g2^2*t^8.649 + 2*g2^3*t^8.649 + (3*t^8.852)/(g1^3*g2^6) + (4*t^8.852)/(g1^4*g2^5) + (4*t^8.852)/(g1^5*g2^4) + (3*t^8.852)/(g1^6*g2^3) + g1^5*g2*t^8.899 + 7*g1^4*g2^2*t^8.899 + 9*g1^3*g2^3*t^8.899 + 7*g1^2*g2^4*t^8.899 + g1*g2^5*t^8.899 - t^4.2/y - t^5.4/y - t^6.351/(g1*g2^2*y) - t^6.351/(g1^2*g2*y) - t^6.6/y - (g1^2*g2*t^6.849)/y - (g1*g2^2*t^6.849)/y + t^7.301/(g1^3*g2^3*y) + t^7.8/y + (g1*t^7.8)/(g2*y) + (g2*t^7.8)/(g1*y) + (g1^3*g2^3*t^8.299)/y + t^8.501/(g1^3*g2^3*y) - t^4.2*y - t^5.4*y - (t^6.351*y)/(g1*g2^2) - (t^6.351*y)/(g1^2*g2) - t^6.6*y - g1^2*g2*t^6.849*y - g1*g2^2*t^6.849*y + (t^7.301*y)/(g1^3*g2^3) + t^7.8*y + (g1*t^7.8*y)/g2 + (g2*t^7.8*y)/g1 + g1^3*g2^3*t^8.299*y + (t^8.501*y)/(g1^3*g2^3)

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
57606	${}\phi_{1}^{5}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	1.302	1.552	0.8389	[X:[], M:[], q:[0.5333, 0.5333], qb:[0.2667, 0.2667], phi:[0.4]]	5*t^2.4 + 7*t^3.6 + 21*t^4.8 + 31*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 651/500, c: 194/125, q1: 8/15, q2: 8/15, qb1: 4/15, qb2: 4/15, phi1: 2/5}
57605	${}\phi_{1}^{5}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	1.3128	1.5628	0.84	[X:[], M:[], q:[0.56, 0.48], qb:[0.32, 0.24], phi:[0.4]]	t^2.16 + 3*t^2.4 + t^2.64 + t^3.36 + 4*t^3.6 + 2*t^3.84 + t^4.32 + 4*t^4.56 + 10*t^4.8 + 5*t^5.04 + t^5.28 + t^5.52 + 7*t^5.76 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 1641/1250, c: 3907/2500, q1: 14/25, q2: 12/25, qb1: 8/25, qb2: 6/25, phi1: 2/5}
57596	${}\phi_{1}^{5}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.1708	1.3889	0.843	[X:[1.5106], M:[], q:[0.6071, 0.3859], qb:[0.5035, 0.1035], phi:[0.4]]	t^2.13 + t^2.4 + 2*t^2.67 + 3*t^3.33 + t^3.6 + 2*t^3.87 + t^4.26 + 7*t^4.53 + 2*t^4.8 + 3*t^5.07 + 3*t^5.34 + 3*t^5.46 + 7*t^5.73 + 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
47871	SU3adj1nf2	${}\phi_{1}^{5}$	1.41	1.66	0.8494	[q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]]	5*t^2.4 + 5*t^3.6 + 23*t^4.8 + 21*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 141/100, c: 83/50, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5}