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
57459	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	1.3238	1.482	0.8933	[X:[1.4117], q:[0.4114, 0.7647], qb:[0.4119, 0.647], phi:[0.2942]]	[X:[[6]], q:[[23], [-1]], qb:[[-11], [7]], phi:[[-3]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{4}q_{1}\tilde{q}_{1}$	0	t^2.47 + t^2.647 + t^3.175 + t^3.353 + t^3.53 + t^4.058 + 3*t^4.235 + t^4.412 + t^4.94 + 2*t^5.118 + 2*t^5.295 + 2*t^5.645 + t^5.823 + t^6.177 + 2*t^6.35 + t^6.355 + 3*t^6.528 + 5*t^6.705 + 2*t^6.882 + t^7.233 + 5*t^7.41 + 5*t^7.588 + 5*t^7.765 + 2*t^8.115 - t^8.12 + 3*t^8.293 + 6*t^8.47 + 5*t^8.647 + 3*t^8.821 + t^8.825 + 4*t^8.998 + t^8.647/y^2 - t^3.882/y - t^4.765/y - t^6.353/y - t^6.53/y - t^7.058/y - t^7.235/y - (2*t^7.412)/y - t^7.94/y - t^8.118/y - t^8.295/y + t^8.645/y + t^8.823/y - t^3.882*y - t^4.765*y - t^6.353*y - t^6.53*y - t^7.058*y - t^7.235*y - 2*t^7.412*y - t^7.94*y - t^8.118*y - t^8.295*y + t^8.645*y + t^8.823*y + t^8.647*y^2	g1^12*t^2.47 + t^2.647/g1^9 + g1^30*t^3.175 + g1^9*t^3.353 + t^3.53/g1^12 + g1^27*t^4.058 + 3*g1^6*t^4.235 + t^4.412/g1^15 + g1^24*t^4.94 + 2*g1^3*t^5.118 + (2*t^5.295)/g1^18 + 2*g1^42*t^5.645 + g1^21*t^5.823 + t^6.177/g1^21 + 2*g1^60*t^6.35 + t^6.355/g1^42 + 3*g1^39*t^6.528 + 5*g1^18*t^6.705 + (2*t^6.882)/g1^3 + g1^57*t^7.233 + 5*g1^36*t^7.41 + 5*g1^15*t^7.588 + (5*t^7.765)/g1^6 + 2*g1^54*t^8.115 - t^8.12/g1^48 + 3*g1^33*t^8.293 + 6*g1^12*t^8.47 + (5*t^8.647)/g1^9 + 3*g1^72*t^8.821 + t^8.825/g1^30 + 4*g1^51*t^8.998 + t^8.647/(g1^9*y^2) - t^3.882/(g1^3*y) - t^4.765/(g1^6*y) - (g1^9*t^6.353)/y - t^6.53/(g1^12*y) - (g1^27*t^7.058)/y - (g1^6*t^7.235)/y - (2*t^7.412)/(g1^15*y) - (g1^24*t^7.94)/y - (g1^3*t^8.118)/y - t^8.295/(g1^18*y) + (g1^42*t^8.645)/y + (g1^21*t^8.823)/y - (t^3.882*y)/g1^3 - (t^4.765*y)/g1^6 - g1^9*t^6.353*y - (t^6.53*y)/g1^12 - g1^27*t^7.058*y - g1^6*t^7.235*y - (2*t^7.412*y)/g1^15 - g1^24*t^7.94*y - g1^3*t^8.118*y - (t^8.295*y)/g1^18 + g1^42*t^8.645*y + g1^21*t^8.823*y + (t^8.647*y^2)/g1^9

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
59432	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	1.1279	1.2529	0.9002	[X:[1.5], M:[], q:[0.75, 0.75], qb:[0.25, 0.75], phi:[0.25]]	t^2.25 + 2*t^3. + 2*t^3.75 + 7*t^4.5 + 4*t^5.25 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y	detail	{a: 1155/1024, c: 1283/1024, X1: 3/2, q1: 3/4, q2: 3/4, qb1: 1/4, qb2: 3/4, phi1: 1/4}

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