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
57457	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$	1.0766	1.2121	0.8882	[X:[1.472], q:[0.3788, 1.0186], qb:[0.3013, 0.7174], phi:[0.264]]	[X:[[6]], q:[[26], [-4]], qb:[[-11], [7]], phi:[[-3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$	${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$	-1	t^2.04 + t^2.376 + t^2.832 + t^3.288 + t^3.624 + t^3.96 + t^4.08 + 2*t^4.416 + 2*t^4.752 + t^4.872 + t^5.087 + 2*t^5.208 + t^5.329 + 2*t^5.664 + t^5.785 - t^6. + 3*t^6.121 + 3*t^6.456 + t^6.577 + 3*t^6.792 + 2*t^6.913 + 2*t^7.128 + 3*t^7.248 + t^7.369 + 3*t^7.584 + 3*t^7.704 + t^7.825 + 2*t^8.04 + 3*t^8.161 - t^8.255 + 2*t^8.376 + 4*t^8.496 + 2*t^8.617 - t^8.832 + 3*t^8.953 + t^8.376/y^2 - t^8.832/y^2 - t^3.792/y - t^4.584/y - t^5.832/y - t^6.168/y - t^6.624/y - t^6.96/y - t^7.08/y - t^7.752/y + t^8.329/y - t^8.544/y + t^8.664/y - t^3.792*y - t^4.584*y - t^5.832*y - t^6.168*y - t^6.624*y - t^6.96*y - t^7.08*y - t^7.752*y + t^8.329*y - t^8.544*y + t^8.664*y + t^8.376*y^2 - t^8.832*y^2	g1^15*t^2.04 + t^2.376/g1^9 + g1^12*t^2.832 + g1^33*t^3.288 + g1^9*t^3.624 + t^3.96/g1^15 + g1^30*t^4.08 + 2*g1^6*t^4.416 + (2*t^4.752)/g1^18 + g1^27*t^4.872 + t^5.087/g1^42 + 2*g1^3*t^5.208 + g1^48*t^5.329 + 2*g1^24*t^5.664 + g1^69*t^5.785 - t^6. + 3*g1^45*t^6.121 + 3*g1^21*t^6.456 + g1^66*t^6.577 + (3*t^6.792)/g1^3 + 2*g1^42*t^6.913 + (2*t^7.128)/g1^27 + 3*g1^18*t^7.248 + g1^63*t^7.369 + (3*t^7.584)/g1^6 + 3*g1^39*t^7.704 + g1^84*t^7.825 + 2*g1^15*t^8.04 + 3*g1^60*t^8.161 - t^8.255/g1^54 + (2*t^8.376)/g1^9 + 4*g1^36*t^8.496 + 2*g1^81*t^8.617 - g1^12*t^8.832 + 3*g1^57*t^8.953 + t^8.376/(g1^9*y^2) - (g1^12*t^8.832)/y^2 - t^3.792/(g1^3*y) - t^4.584/(g1^6*y) - (g1^12*t^5.832)/y - t^6.168/(g1^12*y) - (g1^9*t^6.624)/y - t^6.96/(g1^15*y) - (g1^30*t^7.08)/y - t^7.752/(g1^18*y) + (g1^48*t^8.329)/y - t^8.544/(g1^21*y) + (g1^24*t^8.664)/y - (t^3.792*y)/g1^3 - (t^4.584*y)/g1^6 - g1^12*t^5.832*y - (t^6.168*y)/g1^12 - g1^9*t^6.624*y - (t^6.96*y)/g1^15 - g1^30*t^7.08*y - (t^7.752*y)/g1^18 + g1^48*t^8.329*y - (t^8.544*y)/g1^21 + g1^24*t^8.664*y + (t^8.376*y^2)/g1^9 - g1^12*t^8.832*y^2

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
60094	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.0716	1.203	0.8908	[X:[1.4745], M:[1.051], q:[0.3895, 1.017], qb:[0.2968, 0.7202], phi:[0.2628]]	t^2.06 + t^2.36 + t^3.15 + t^3.33 + t^3.64 + t^3.94 + t^4.12 + 2*t^4.42 + 2*t^4.73 + t^5.04 + 2*t^5.21 + t^5.39 + t^5.52 + t^5.69 + t^5.87 - t^6. - t^3.79/y - t^4.58/y - t^5.85/y - t^3.79*y - t^4.58*y - t^5.85*y	detail
60636	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$	1.0936	1.2418	0.8807	[X:[1.4732], M:[0.7902], q:[0.3837, 1.0179], qb:[0.2992, 0.7187], phi:[0.2634]]	t^2.05 + 2*t^2.37 + t^2.84 + t^3.31 + t^3.95 + t^4.1 + 3*t^4.42 + 4*t^4.74 + t^4.89 + t^5.06 + 3*t^5.21 + t^5.36 + 2*t^5.68 + t^5.82 - 2*t^6. - t^3.79/y - t^4.58/y - t^5.84/y - t^3.79*y - t^4.58*y - t^5.84*y	detail
59467	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.0558	1.1712	0.9014	[X:[1.4723], M:[1.3193], q:[0.3799, 1.0185], qb:[0.3008, 0.7177], phi:[0.2639]]	t^2.37 + t^2.83 + t^3.29 + t^3.63 + 2*t^3.96 + t^4.42 + 2*t^4.75 + t^5.08 + 2*t^5.21 + t^5.67 + t^5.79 - 2*t^6. - t^3.79/y - t^4.58/y - t^3.79*y - t^4.58*y	detail
60174	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.8333	0.9167	0.9091	[X:[1.5556, 1.3333], M:[], q:[0.7407, 0.963], qb:[0.1481, 0.8148], phi:[0.2222]]	t^2.67 + 3*t^3.33 + 3*t^4. + 2*t^4.67 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y	detail	{a: 5/6, c: 11/12, X1: 14/9, X2: 4/3, q1: 20/27, q2: 26/27, qb1: 4/27, qb2: 22/27, phi1: 2/9}
60088	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{3}$	1.0751	1.2083	0.8898	[X:[1.4783], M:[], q:[0.4058, 1.0145], qb:[0.2899, 0.7246], phi:[0.2609]]	t^2.09 + t^2.35 + t^2.87 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.7 + 2*t^4.96 + 2*t^5.22 + t^5.48 + 2*t^5.74 - t^3.78/y - t^4.57/y - t^5.87/y - t^3.78*y - t^4.57*y - t^5.87*y	detail	{a: 209301/194672, c: 117611/97336, X1: 34/23, q1: 28/69, q2: 70/69, qb1: 20/69, qb2: 50/69, phi1: 6/23}

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
47912	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4426	1.6233	0.8887	[X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]]	t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. - t^3.973/y - t^4.945/y - t^3.973*y - t^4.945*y	detail