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
2805	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$	0.6215	0.8097	0.7675	[M:[0.9461, 1.1616, 0.9461, 0.7307, 0.8384], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]]	[M:[[4], [-12], [4], [20], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{5}\phi_{1}q_{2}^{2}$	-1	2*t^2.192 + t^2.227 + t^2.515 + 2*t^2.838 + t^3.45 + 2*t^3.485 + t^3.773 + t^4.061 + t^4.096 + t^4.131 + 3*t^4.384 + 2*t^4.419 + t^4.454 + 2*t^4.707 + t^4.742 + 5*t^5.03 + 2*t^5.066 + 2*t^5.354 + 2*t^5.642 + 6*t^5.677 + t^5.712 + 2*t^5.965 - t^6. - t^6.035 + 2*t^6.253 + 4*t^6.288 + 3*t^6.323 + t^6.358 + 5*t^6.576 + 4*t^6.611 + t^6.646 + t^6.681 + 5*t^6.899 + 3*t^6.934 + 3*t^6.97 + 8*t^7.223 + 3*t^7.258 + t^7.511 + 6*t^7.546 + 4*t^7.834 + 10*t^7.869 + 2*t^7.904 + t^7.939 + t^8.122 + 4*t^8.157 - 3*t^8.227 + 3*t^8.445 + 7*t^8.48 + 5*t^8.515 + t^8.585 + 7*t^8.768 + 6*t^8.803 - 5*t^8.838 - t^8.873 + t^8.909 - t^4.581/y - t^6.773/y + t^7.384/y + t^7.419/y + (2*t^7.707)/y + (2*t^7.742)/y + (4*t^8.03)/y + (2*t^8.066)/y + (2*t^8.354)/y + t^8.389/y + (2*t^8.642)/y + (6*t^8.677)/y + (2*t^8.712)/y + (2*t^8.965)/y - t^4.581*y - t^6.773*y + t^7.384*y + t^7.419*y + 2*t^7.707*y + 2*t^7.742*y + 4*t^8.03*y + 2*t^8.066*y + 2*t^8.354*y + t^8.389*y + 2*t^8.642*y + 6*t^8.677*y + 2*t^8.712*y + 2*t^8.965*y	2*g1^20*t^2.192 + t^2.227/g1^18 + g1^12*t^2.515 + 2*g1^4*t^2.838 + g1^26*t^3.45 + (2*t^3.485)/g1^12 + g1^18*t^3.773 + g1^48*t^4.061 + g1^10*t^4.096 + t^4.131/g1^28 + 3*g1^40*t^4.384 + 2*g1^2*t^4.419 + t^4.454/g1^36 + 2*g1^32*t^4.707 + t^4.742/g1^6 + 5*g1^24*t^5.03 + (2*t^5.066)/g1^14 + 2*g1^16*t^5.354 + 2*g1^46*t^5.642 + 6*g1^8*t^5.677 + t^5.712/g1^30 + 2*g1^38*t^5.965 - t^6. - t^6.035/g1^38 + 2*g1^68*t^6.253 + 4*g1^30*t^6.288 + (3*t^6.323)/g1^8 + t^6.358/g1^46 + 5*g1^60*t^6.576 + 4*g1^22*t^6.611 + t^6.646/g1^16 + t^6.681/g1^54 + 5*g1^52*t^6.899 + 3*g1^14*t^6.934 + (3*t^6.97)/g1^24 + 8*g1^44*t^7.223 + 3*g1^6*t^7.258 + g1^74*t^7.511 + 6*g1^36*t^7.546 + 4*g1^66*t^7.834 + 10*g1^28*t^7.869 + (2*t^7.904)/g1^10 + t^7.939/g1^48 + g1^96*t^8.122 + 4*g1^58*t^8.157 - (3*t^8.227)/g1^18 + 3*g1^88*t^8.445 + 7*g1^50*t^8.48 + 5*g1^12*t^8.515 + t^8.585/g1^64 + 7*g1^80*t^8.768 + 6*g1^42*t^8.803 - 5*g1^4*t^8.838 - t^8.873/g1^34 + t^8.909/g1^72 - t^4.581/(g1^2*y) - (g1^18*t^6.773)/y + (g1^40*t^7.384)/y + (g1^2*t^7.419)/y + (2*g1^32*t^7.707)/y + (2*t^7.742)/(g1^6*y) + (4*g1^24*t^8.03)/y + (2*t^8.066)/(g1^14*y) + (2*g1^16*t^8.354)/y + t^8.389/(g1^22*y) + (2*g1^46*t^8.642)/y + (6*g1^8*t^8.677)/y + (2*t^8.712)/(g1^30*y) + (2*g1^38*t^8.965)/y - (t^4.581*y)/g1^2 - g1^18*t^6.773*y + g1^40*t^7.384*y + g1^2*t^7.419*y + 2*g1^32*t^7.707*y + (2*t^7.742*y)/g1^6 + 4*g1^24*t^8.03*y + (2*t^8.066*y)/g1^14 + 2*g1^16*t^8.354*y + (t^8.389*y)/g1^22 + 2*g1^46*t^8.642*y + 6*g1^8*t^8.677*y + (2*t^8.712*y)/g1^30 + 2*g1^38*t^8.965*y

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
3327	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6355	0.8324	0.7635	[M:[0.9501, 1.1498, 0.9501, 0.7504, 0.8502, 0.8245], q:[0.7375, 0.3124], qb:[0.4123, 0.438], phi:[0.525]]	t^2.174 + 2*t^2.251 + t^2.474 + t^2.551 + 2*t^2.85 + 2*t^3.449 + t^3.826 + t^4.048 + t^4.126 + t^4.203 + t^4.348 + 2*t^4.425 + 3*t^4.502 + t^4.647 + 3*t^4.725 + 2*t^4.802 + t^4.947 + 3*t^5.024 + 5*t^5.101 + 2*t^5.324 + 2*t^5.401 + t^5.623 + 5*t^5.7 + t^5.923 - t^6. - t^4.575/y - t^4.575*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
1794	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6282	0.8184	0.7676	[M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]]	2*t^2.169 + t^2.297 + t^2.305 + 2*t^2.932 + 2*t^3.205 + t^3.566 + t^3.703 + t^4.2 + t^4.329 + 3*t^4.337 + t^4.458 + 2*t^4.466 + 2*t^4.474 + t^4.595 + t^4.602 + t^4.61 + 4*t^5.1 + 2*t^5.229 + 2*t^5.237 + 3*t^5.373 + t^5.502 + 2*t^5.51 + 2*t^5.735 + 3*t^5.863 + 2*t^5.871 - 3*t^6. - t^4.534/y - t^4.534*y	detail