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
54967	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$	0.6534	0.8644	0.7559	[M:[0.9507, 0.8207, 0.852, 0.722, 0.852, 1.0493], q:[0.7377, 0.3117], qb:[0.4417, 0.4103], phi:[0.5247]]	[M:[[-4], [26], [-12], [18], [-12], [4]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-3	2*t^2.166 + t^2.26 + t^2.462 + 3*t^2.556 + 2*t^3.148 + t^3.74 + t^4.036 + t^4.13 + t^4.224 + 3*t^4.332 + 2*t^4.426 + t^4.52 + 2*t^4.628 + 7*t^4.722 + 3*t^4.816 + t^4.924 + 3*t^5.018 + 6*t^5.112 + 4*t^5.314 + 2*t^5.408 + t^5.61 + 4*t^5.704 + t^5.906 - 3*t^6. - t^6.094 + 3*t^6.202 + 5*t^6.296 + t^6.39 + t^6.484 + 5*t^6.498 + 5*t^6.592 + 4*t^6.686 + 4*t^6.78 + 3*t^6.794 + 10*t^6.888 + 4*t^6.982 + 2*t^7.076 + 2*t^7.09 + 7*t^7.184 + 13*t^7.278 + 7*t^7.372 + t^7.386 + 8*t^7.48 + 5*t^7.574 + 9*t^7.668 + 3*t^7.776 + 7*t^7.87 + 2*t^7.964 + 3*t^8.072 - 5*t^8.166 + 2*t^8.26 + 4*t^8.368 + t^8.448 + 3*t^8.462 - 9*t^8.556 - 2*t^8.65 + 8*t^8.664 + t^8.744 + 9*t^8.758 + 7*t^8.852 + 4*t^8.946 + 5*t^8.96 - t^4.574/y - t^6.74/y - t^7.036/y - (2*t^7.13)/y + t^7.332/y + (3*t^7.426)/y + (2*t^7.628)/y + (6*t^7.722)/y + (3*t^7.816)/y + (5*t^8.018)/y + (4*t^8.112)/y + (4*t^8.314)/y + (3*t^8.408)/y + (2*t^8.61)/y + (6*t^8.704)/y + t^8.906/y - t^4.574*y - t^6.74*y - t^7.036*y - 2*t^7.13*y + t^7.332*y + 3*t^7.426*y + 2*t^7.628*y + 6*t^7.722*y + 3*t^7.816*y + 5*t^8.018*y + 4*t^8.112*y + 4*t^8.314*y + 3*t^8.408*y + 2*t^8.61*y + 6*t^8.704*y + t^8.906*y	2*g1^18*t^2.166 + t^2.26/g1^20 + g1^26*t^2.462 + (3*t^2.556)/g1^12 + 2*g1^4*t^3.148 + g1^20*t^3.74 + g1^28*t^4.036 + t^4.13/g1^10 + t^4.224/g1^48 + 3*g1^36*t^4.332 + (2*t^4.426)/g1^2 + t^4.52/g1^40 + 2*g1^44*t^4.628 + 7*g1^6*t^4.722 + (3*t^4.816)/g1^32 + g1^52*t^4.924 + 3*g1^14*t^5.018 + (6*t^5.112)/g1^24 + 4*g1^22*t^5.314 + (2*t^5.408)/g1^16 + g1^30*t^5.61 + (4*t^5.704)/g1^8 + g1^38*t^5.906 - 3*t^6. - t^6.094/g1^38 + 3*g1^46*t^6.202 + 5*g1^8*t^6.296 + t^6.39/g1^30 + t^6.484/g1^68 + 5*g1^54*t^6.498 + 5*g1^16*t^6.592 + (4*t^6.686)/g1^22 + (4*t^6.78)/g1^60 + 3*g1^62*t^6.794 + 10*g1^24*t^6.888 + (4*t^6.982)/g1^14 + (2*t^7.076)/g1^52 + 2*g1^70*t^7.09 + 7*g1^32*t^7.184 + (13*t^7.278)/g1^6 + (7*t^7.372)/g1^44 + g1^78*t^7.386 + 8*g1^40*t^7.48 + 5*g1^2*t^7.574 + (9*t^7.668)/g1^36 + 3*g1^48*t^7.776 + 7*g1^10*t^7.87 + (2*t^7.964)/g1^28 + 3*g1^56*t^8.072 - 5*g1^18*t^8.166 + (2*t^8.26)/g1^20 + 4*g1^64*t^8.368 + t^8.448/g1^96 + 3*g1^26*t^8.462 - (9*t^8.556)/g1^12 - (2*t^8.65)/g1^50 + 8*g1^72*t^8.664 + t^8.744/g1^88 + 9*g1^34*t^8.758 + (7*t^8.852)/g1^4 + (4*t^8.946)/g1^42 + 5*g1^80*t^8.96 - (g1^2*t^4.574)/y - (g1^20*t^6.74)/y - (g1^28*t^7.036)/y - (2*t^7.13)/(g1^10*y) + (g1^36*t^7.332)/y + (3*t^7.426)/(g1^2*y) + (2*g1^44*t^7.628)/y + (6*g1^6*t^7.722)/y + (3*t^7.816)/(g1^32*y) + (5*g1^14*t^8.018)/y + (4*t^8.112)/(g1^24*y) + (4*g1^22*t^8.314)/y + (3*t^8.408)/(g1^16*y) + (2*g1^30*t^8.61)/y + (6*t^8.704)/(g1^8*y) + (g1^38*t^8.906)/y - g1^2*t^4.574*y - g1^20*t^6.74*y - g1^28*t^7.036*y - (2*t^7.13*y)/g1^10 + g1^36*t^7.332*y + (3*t^7.426*y)/g1^2 + 2*g1^44*t^7.628*y + 6*g1^6*t^7.722*y + (3*t^7.816*y)/g1^32 + 5*g1^14*t^8.018*y + (4*t^8.112*y)/g1^24 + 4*g1^22*t^8.314*y + (3*t^8.408*y)/g1^16 + 2*g1^30*t^8.61*y + (6*t^8.704*y)/g1^8 + g1^38*t^8.906*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
56739	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6527	0.8632	0.7561	[M:[0.9474, 0.8421, 0.8421, 0.7368, 0.8421, 1.0526], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]]	3*t^2.211 + 4*t^2.526 + 2*t^3.158 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 12*t^4.737 + 10*t^5.053 + 6*t^5.368 + 5*t^5.684 - 3*t^6. - t^4.579/y - t^4.579*y	detail	{a: 17907/27436, c: 23683/27436, M1: 18/19, M2: 16/19, M3: 16/19, M4: 14/19, M5: 16/19, M6: 20/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19}

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
46949	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.658	0.872	0.7545	[M:[0.9499, 0.8254, 0.8498, 0.7253, 0.8498], q:[0.7375, 0.3126], qb:[0.4371, 0.4127], phi:[0.525]]	2*t^2.176 + t^2.249 + t^2.476 + 3*t^2.549 + t^2.85 + t^3.15 + t^3.751 + t^4.051 + t^4.125 + t^4.198 + 3*t^4.352 + 2*t^4.425 + t^4.498 + 2*t^4.652 + 7*t^4.725 + 3*t^4.799 + t^4.952 + 5*t^5.026 + 7*t^5.099 + 3*t^5.326 + 4*t^5.399 + 2*t^5.7 + t^5.927 - 2*t^6. - t^4.575/y - t^4.575*y	detail