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
57855	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4464	1.6328	0.8859	[X:[1.3468], M:[0.917, 1.0203], q:[0.5011, 0.5861], qb:[0.4564, 0.4969], phi:[0.3266]]	[X:[[0, 2]], M:[[-3, 11], [0, 3]], q:[[-4, 23], [2, -11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	${}$	-2	t^2.75 + t^2.87 + t^2.99 + t^3.06 + t^3.13 + t^3.85 + t^3.97 + t^4.04 + t^4.11 + t^4.23 + t^4.83 + t^4.95 + t^5.09 + 2*t^5.21 + t^5.33 + t^5.5 + t^5.62 + 2*t^5.75 + t^5.81 + t^5.87 + t^5.93 + t^5.99 - 2*t^6. + t^6.05 + t^6.12 + 2*t^6.19 + t^6.31 + t^6.6 + 2*t^6.72 + t^6.79 + 2*t^6.85 + 2*t^6.91 + t^6.97 + t^6.98 + 2*t^7.03 + t^7.05 + 2*t^7.1 + 3*t^7.17 + t^7.22 + 2*t^7.29 + t^7.41 + t^7.45 + t^7.58 + 3*t^7.7 - t^7.77 + 3*t^7.83 + 2*t^7.95 + 3*t^7.96 + t^8.01 + 4*t^8.08 + t^8.15 + 3*t^8.2 + t^8.21 + t^8.25 + 2*t^8.27 + t^8.32 + t^8.34 + t^8.37 + t^8.39 + t^8.46 + t^8.5 + t^8.56 + t^8.62 + 2*t^8.68 + 2*t^8.74 - 4*t^8.75 + 4*t^8.81 + t^8.86 - 3*t^8.87 + 2*t^8.93 + 3*t^8.94 + t^8.98 - 2*t^8.99 + t^8.94/y^2 - t^3.98/y - t^4.96/y - t^6.73/y - t^6.85/y - t^6.97/y - t^7.04/y - t^7.11/y - t^7.71/y - t^7.83/y - t^7.95/y - t^8.02/y - t^8.09/y + t^8.62/y + t^8.75/y + t^8.87/y + t^8.88/y - t^3.98*y - t^4.96*y - t^6.73*y - t^6.85*y - t^6.97*y - t^7.04*y - t^7.11*y - t^7.71*y - t^7.83*y - t^7.95*y - t^8.02*y - t^8.09*y + t^8.62*y + t^8.75*y + t^8.87*y + t^8.88*y + t^8.94*y^2	(g2^11*t^2.75)/g1^3 + (g2^17*t^2.87)/g1^3 + (g2^23*t^2.99)/g1^3 + g2^3*t^3.06 + (g1^3*t^3.13)/g2^17 + (g2^16*t^3.85)/g1^3 + (g2^22*t^3.97)/g1^3 + g2^2*t^4.04 + (g1^3*t^4.11)/g2^18 + (g1^3*t^4.23)/g2^12 + (g2^15*t^4.83)/g1^3 + (g2^21*t^4.95)/g1^3 + (g1^3*t^5.09)/g2^19 + (2*g1^3*t^5.21)/g2^13 + (g1^3*t^5.33)/g2^7 + (g2^22*t^5.5)/g1^6 + (g2^28*t^5.62)/g1^6 + (2*g2^34*t^5.75)/g1^6 + (g2^14*t^5.81)/g1^3 + (g2^40*t^5.87)/g1^6 + (g2^20*t^5.93)/g1^3 + (g2^46*t^5.99)/g1^6 - 2*t^6. + (g2^26*t^6.05)/g1^3 + g2^6*t^6.12 + (2*g1^3*t^6.19)/g2^14 + (g1^3*t^6.31)/g2^8 + (g2^27*t^6.6)/g1^6 + (2*g2^33*t^6.72)/g1^6 + (g2^13*t^6.79)/g1^3 + (2*g2^39*t^6.85)/g1^6 + (2*g2^19*t^6.91)/g1^3 + (g2^45*t^6.97)/g1^6 + t^6.98/g2 + (2*g2^25*t^7.03)/g1^3 + (g1^3*t^7.05)/g2^21 + 2*g2^5*t^7.1 + (3*g1^3*t^7.17)/g2^15 + g2^11*t^7.22 + (2*g1^3*t^7.29)/g2^9 + (g1^3*t^7.41)/g2^3 + (g2^66*t^7.45)/g1^12 + (g2^26*t^7.58)/g1^6 + (3*g2^32*t^7.7)/g1^6 - (g2^12*t^7.77)/g1^3 + (3*g2^38*t^7.83)/g1^6 + (2*g2^44*t^7.95)/g1^6 + (3*t^7.96)/g2^2 + (g2^24*t^8.01)/g1^3 + 4*g2^4*t^8.08 + (g1^3*t^8.15)/g2^16 + 3*g2^10*t^8.2 + (g1^6*t^8.21)/g2^36 + (g2^33*t^8.25)/g1^9 + (2*g1^3*t^8.27)/g2^10 + g2^16*t^8.32 + (g1^6*t^8.34)/g2^30 + (g2^39*t^8.37)/g1^9 + (g1^3*t^8.39)/g2^4 + (g1^6*t^8.46)/g2^24 + (g2^45*t^8.5)/g1^9 + (g2^25*t^8.56)/g1^6 + (g2^51*t^8.62)/g1^9 + (2*g2^31*t^8.68)/g1^6 + (2*g2^57*t^8.74)/g1^9 - (4*g2^11*t^8.75)/g1^3 + (4*g2^37*t^8.81)/g1^6 + (g2^63*t^8.86)/g1^9 - (3*g2^17*t^8.87)/g1^3 + (2*g2^43*t^8.93)/g1^6 + (3*t^8.94)/g2^3 + (g2^69*t^8.98)/g1^9 - (2*g2^23*t^8.99)/g1^3 + t^8.94/(g2^3*y^2) - t^3.98/(g2*y) - t^4.96/(g2^2*y) - (g2^10*t^6.73)/(g1^3*y) - (g2^16*t^6.85)/(g1^3*y) - (g2^22*t^6.97)/(g1^3*y) - (g2^2*t^7.04)/y - (g1^3*t^7.11)/(g2^18*y) - (g2^9*t^7.71)/(g1^3*y) - (g2^15*t^7.83)/(g1^3*y) - (g2^21*t^7.95)/(g1^3*y) - (g2*t^8.02)/y - (g1^3*t^8.09)/(g2^19*y) + (g2^28*t^8.62)/(g1^6*y) + (g2^34*t^8.75)/(g1^6*y) + (g2^40*t^8.87)/(g1^6*y) + t^8.88/(g2^6*y) - (t^3.98*y)/g2 - (t^4.96*y)/g2^2 - (g2^10*t^6.73*y)/g1^3 - (g2^16*t^6.85*y)/g1^3 - (g2^22*t^6.97*y)/g1^3 - g2^2*t^7.04*y - (g1^3*t^7.11*y)/g2^18 - (g2^9*t^7.71*y)/g1^3 - (g2^15*t^7.83*y)/g1^3 - (g2^21*t^7.95*y)/g1^3 - g2*t^8.02*y - (g1^3*t^8.09*y)/g2^19 + (g2^28*t^8.62*y)/g1^6 + (g2^34*t^8.75*y)/g1^6 + (g2^40*t^8.87*y)/g1^6 + (t^8.88*y)/g2^6 + (t^8.94*y^2)/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
60994	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.4456	1.6295	0.8872	[X:[1.3526], M:[0.9131, 1.029], q:[0.5202, 0.5781], qb:[0.4509, 0.5088], phi:[0.3237]]	t^2.74 + t^2.91 + 3*t^3.09 + t^3.88 + 3*t^4.06 + t^4.23 + t^4.86 + 2*t^5.03 + 2*t^5.2 + t^5.38 + t^5.48 + t^5.65 + 3*t^5.83 - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*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
57280	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4541	1.6417	0.8857	[X:[1.3371], M:[0.9704, 1.0056], q:[0.4845, 0.5214], qb:[0.4971, 0.5082], phi:[0.3315]]	t^2.911 + t^2.945 + t^2.978 + t^3.017 + t^3.055 + t^3.939 + t^3.972 + t^4.011 + t^4.05 + t^4.083 + t^4.933 + t^4.967 + t^5.044 + t^5.078 + t^5.465 + t^5.501 + t^5.535 + t^5.576 + t^5.822 + t^5.856 + t^5.889 + t^5.923 + t^5.928 + t^5.956 + t^5.961 + t^5.995 - 3*t^6. - t^3.994/y - t^4.989/y - t^3.994*y - t^4.989*y	detail