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
2907	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6323	0.8253	0.7662	[M:[0.971, 1.0869, 0.971, 0.9131, 0.7138, 0.8297], q:[0.7428, 0.2862], qb:[0.4855, 0.4276], phi:[0.5145]]	[M:[[4], [-12], [4], [12], [5], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-1	2*t^2.141 + t^2.315 + t^2.489 + t^2.739 + 2*t^2.913 + t^3.261 + 2*t^3.685 + t^4.109 + 4*t^4.283 + 3*t^4.457 + 3*t^4.63 + t^4.804 + 2*t^4.881 + t^4.978 + 5*t^5.054 + 3*t^5.228 + 3*t^5.402 + t^5.478 + 2*t^5.652 + t^5.75 + 5*t^5.826 - t^6. + t^6.174 + 2*t^6.25 + 7*t^6.424 + t^6.522 + 7*t^6.598 + 3*t^6.772 + t^6.848 + 3*t^6.946 + 5*t^7.022 + 2*t^7.119 + 9*t^7.196 + t^7.293 + 7*t^7.37 + t^7.467 + 4*t^7.543 + 2*t^7.62 + t^7.717 + 6*t^7.794 + 3*t^7.891 + 9*t^7.967 - t^8.141 + 2*t^8.218 + t^8.239 - t^8.315 + 6*t^8.391 - 4*t^8.489 + 12*t^8.565 + 2*t^8.663 + 10*t^8.739 - t^8.913 + 2*t^8.989 - t^4.543/y - t^6.685/y - t^7.033/y + t^7.283/y + t^7.457/y + (3*t^7.63)/y + t^7.804/y + (2*t^7.881)/y + (6*t^8.054)/y + (3*t^8.228)/y + (5*t^8.402)/y + t^8.576/y + (2*t^8.652)/y + t^8.75/y + (4*t^8.826)/y - t^4.543*y - t^6.685*y - t^7.033*y + t^7.283*y + t^7.457*y + 3*t^7.63*y + t^7.804*y + 2*t^7.881*y + 6*t^8.054*y + 3*t^8.228*y + 5*t^8.402*y + t^8.576*y + 2*t^8.652*y + t^8.75*y + 4*t^8.826*y	2*g1^5*t^2.141 + t^2.315/g1^3 + t^2.489/g1^11 + g1^12*t^2.739 + 2*g1^4*t^2.913 + t^3.261/g1^12 + 2*g1^3*t^3.685 + g1^18*t^4.109 + 4*g1^10*t^4.283 + 3*g1^2*t^4.457 + (3*t^4.63)/g1^6 + t^4.804/g1^14 + 2*g1^17*t^4.881 + t^4.978/g1^22 + 5*g1^9*t^5.054 + 3*g1*t^5.228 + (3*t^5.402)/g1^7 + g1^24*t^5.478 + 2*g1^16*t^5.652 + t^5.75/g1^23 + 5*g1^8*t^5.826 - t^6. + t^6.174/g1^8 + 2*g1^23*t^6.25 + 7*g1^15*t^6.424 + t^6.522/g1^24 + 7*g1^7*t^6.598 + (3*t^6.772)/g1 + g1^30*t^6.848 + (3*t^6.946)/g1^9 + 5*g1^22*t^7.022 + (2*t^7.119)/g1^17 + 9*g1^14*t^7.196 + t^7.293/g1^25 + 7*g1^6*t^7.37 + t^7.467/g1^33 + (4*t^7.543)/g1^2 + 2*g1^29*t^7.62 + t^7.717/g1^10 + 6*g1^21*t^7.794 + (3*t^7.891)/g1^18 + 9*g1^13*t^7.967 - g1^5*t^8.141 + 2*g1^36*t^8.218 + t^8.239/g1^34 - t^8.315/g1^3 + 6*g1^28*t^8.391 - (4*t^8.489)/g1^11 + 12*g1^20*t^8.565 + (2*t^8.663)/g1^19 + 10*g1^12*t^8.739 - g1^4*t^8.913 + 2*g1^35*t^8.989 - t^4.543/(g1^2*y) - (g1^3*t^6.685)/y - t^7.033/(g1^13*y) + (g1^10*t^7.283)/y + (g1^2*t^7.457)/y + (3*t^7.63)/(g1^6*y) + t^7.804/(g1^14*y) + (2*g1^17*t^7.881)/y + (6*g1^9*t^8.054)/y + (3*g1*t^8.228)/y + (5*t^8.402)/(g1^7*y) + t^8.576/(g1^15*y) + (2*g1^16*t^8.652)/y + t^8.75/(g1^23*y) + (4*g1^8*t^8.826)/y - (t^4.543*y)/g1^2 - g1^3*t^6.685*y - (t^7.033*y)/g1^13 + g1^10*t^7.283*y + g1^2*t^7.457*y + (3*t^7.63*y)/g1^6 + (t^7.804*y)/g1^14 + 2*g1^17*t^7.881*y + 6*g1^9*t^8.054*y + 3*g1*t^8.228*y + (5*t^8.402*y)/g1^7 + (t^8.576*y)/g1^15 + 2*g1^16*t^8.652*y + (t^8.75*y)/g1^23 + 4*g1^8*t^8.826*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
3495	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6302	0.8259	0.7631	[M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]]	2*t^2.087 + t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 5*t^4.696 + 6*t^4.957 + 5*t^5.217 + 5*t^5.478 + 5*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 7668/12167, c: 20097/24334, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23}

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
1886	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	0.6188	0.8048	0.7688	[M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]]	2*t^2.102 + t^2.339 + t^2.644 + 2*t^2.881 + t^3.356 + t^3.424 + 2*t^3.661 + t^3.966 + 4*t^4.204 + 3*t^4.441 + t^4.678 + 2*t^4.746 + 5*t^4.983 + 2*t^5.22 + t^5.289 + t^5.457 + 4*t^5.526 + 6*t^5.763 - t^6. - t^4.559/y - t^4.559*y	detail