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
840	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$	0.742	0.9005	0.8241	[M:[0.865, 1.1759, 0.7832, 0.7832, 0.865, 0.7832, 1.135, 1.135], q:[0.5675, 0.5675], qb:[0.6493, 0.5675], phi:[0.4121]]	[M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4], [-4, 0, -4, 0], [0, -4, 0, -4], [0, -4, -4, 0], [4, 4, 0, 0], [0, 4, 0, 4]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$	${}$	-10	3*t^2.35 + 3*t^3.405 + t^3.528 + 6*t^4.641 + 6*t^4.699 + 3*t^4.887 + t^5.132 + 6*t^5.754 + 3*t^5.877 - 10*t^6. - 3*t^6.246 + 6*t^6.81 + 3*t^6.933 + 15*t^6.991 + 10*t^7.049 + 15*t^8.046 + 10*t^8.104 + 6*t^8.227 - 27*t^8.35 - 3*t^8.595 - t^4.236/y - (3*t^6.586)/y + (3*t^7.699)/y + (3*t^7.887)/y + (9*t^8.754)/y + (3*t^8.877)/y - (6*t^8.935)/y - t^4.236*y - 3*t^6.586*y + 3*t^7.699*y + 3*t^7.887*y + 9*t^8.754*y + 3*t^8.877*y - 6*t^8.935*y	t^2.35/(g1^4*g3^4) + t^2.35/(g2^4*g3^4) + t^2.35/(g3^4*g4^4) + g1^4*g2^4*t^3.405 + g1^4*g4^4*t^3.405 + g2^4*g4^4*t^3.405 + g1^2*g2^2*g3^2*g4^2*t^3.528 + (g1^7*t^4.641)/(g2*g3*g4) + (g1^3*g2^3*t^4.641)/(g3*g4) + (g2^7*t^4.641)/(g1*g3*g4) + (g1^3*g4^3*t^4.641)/(g2*g3) + (g2^3*g4^3*t^4.641)/(g1*g3) + (g4^7*t^4.641)/(g1*g2*g3) + t^4.699/(g1^8*g3^8) + t^4.699/(g2^8*g3^8) + t^4.699/(g1^4*g2^4*g3^8) + t^4.699/(g3^8*g4^8) + t^4.699/(g1^4*g3^8*g4^4) + t^4.699/(g2^4*g3^8*g4^4) + (g1^3*g3^3*t^4.887)/(g2*g4) + (g2^3*g3^3*t^4.887)/(g1*g4) + (g3^3*g4^3*t^4.887)/(g1*g2) + (g3^7*t^5.132)/(g1*g2*g4) + (g1^4*t^5.754)/g3^4 + (g2^4*t^5.754)/g3^4 + (g1^4*g2^4*t^5.754)/(g3^4*g4^4) + (g4^4*t^5.754)/g3^4 + (g1^4*g4^4*t^5.754)/(g2^4*g3^4) + (g2^4*g4^4*t^5.754)/(g1^4*g3^4) + (g1^2*g2^2*t^5.877)/(g3^2*g4^2) + (g1^2*g4^2*t^5.877)/(g2^2*g3^2) + (g2^2*g4^2*t^5.877)/(g1^2*g3^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g1^4*t^6.)/g4^4 - (g2^4*t^6.)/g4^4 - (g4^4*t^6.)/g1^4 - (g4^4*t^6.)/g2^4 - (g3^4*t^6.246)/g1^4 - (g3^4*t^6.246)/g2^4 - (g3^4*t^6.246)/g4^4 + g1^8*g2^8*t^6.81 + g1^8*g2^4*g4^4*t^6.81 + g1^4*g2^8*g4^4*t^6.81 + g1^8*g4^8*t^6.81 + g1^4*g2^4*g4^8*t^6.81 + g2^8*g4^8*t^6.81 + g1^6*g2^6*g3^2*g4^2*t^6.933 + g1^6*g2^2*g3^2*g4^6*t^6.933 + g1^2*g2^6*g3^2*g4^6*t^6.933 + (g1^7*t^6.991)/(g2*g3^5*g4^5) + (g1^3*g2^3*t^6.991)/(g3^5*g4^5) + (g2^7*t^6.991)/(g1*g3^5*g4^5) + (g1^7*t^6.991)/(g2^5*g3^5*g4) + (2*g1^3*t^6.991)/(g2*g3^5*g4) + (2*g2^3*t^6.991)/(g1*g3^5*g4) + (g2^7*t^6.991)/(g1^5*g3^5*g4) + (g1^3*g4^3*t^6.991)/(g2^5*g3^5) + (2*g4^3*t^6.991)/(g1*g2*g3^5) + (g2^3*g4^3*t^6.991)/(g1^5*g3^5) + (g4^7*t^6.991)/(g1*g2^5*g3^5) + (g4^7*t^6.991)/(g1^5*g2*g3^5) + t^7.049/(g1^12*g3^12) + t^7.049/(g2^12*g3^12) + t^7.049/(g1^4*g2^8*g3^12) + t^7.049/(g1^8*g2^4*g3^12) + t^7.049/(g3^12*g4^12) + t^7.049/(g1^4*g3^12*g4^8) + t^7.049/(g2^4*g3^12*g4^8) + t^7.049/(g1^8*g3^12*g4^4) + t^7.049/(g2^8*g3^12*g4^4) + t^7.049/(g1^4*g2^4*g3^12*g4^4) + (g1^11*g2^3*t^8.046)/(g3*g4) + (g1^7*g2^7*t^8.046)/(g3*g4) + (g1^3*g2^11*t^8.046)/(g3*g4) + (g1^11*g4^3*t^8.046)/(g2*g3) + (2*g1^7*g2^3*g4^3*t^8.046)/g3 + (2*g1^3*g2^7*g4^3*t^8.046)/g3 + (g2^11*g4^3*t^8.046)/(g1*g3) + (g1^7*g4^7*t^8.046)/(g2*g3) + (2*g1^3*g2^3*g4^7*t^8.046)/g3 + (g2^7*g4^7*t^8.046)/(g1*g3) + (g1^3*g4^11*t^8.046)/(g2*g3) + (g2^3*g4^11*t^8.046)/(g1*g3) + t^8.104/g3^8 + (g1^4*t^8.104)/(g2^4*g3^8) + (g2^4*t^8.104)/(g1^4*g3^8) + (g1^4*g2^4*t^8.104)/(g3^8*g4^8) + (g1^4*t^8.104)/(g3^8*g4^4) + (g2^4*t^8.104)/(g3^8*g4^4) + (g4^4*t^8.104)/(g1^4*g3^8) + (g1^4*g4^4*t^8.104)/(g2^8*g3^8) + (g4^4*t^8.104)/(g2^4*g3^8) + (g2^4*g4^4*t^8.104)/(g1^8*g3^8) + (g1^2*g2^2*t^8.227)/(g3^6*g4^6) + (g1^2*t^8.227)/(g2^2*g3^6*g4^2) + (g2^2*t^8.227)/(g1^2*g3^6*g4^2) + (g1^2*g4^2*t^8.227)/(g2^6*g3^6) + (g4^2*t^8.227)/(g1^2*g2^2*g3^6) + (g2^2*g4^2*t^8.227)/(g1^6*g3^6) - (5*t^8.35)/(g1^4*g3^4) - (g1^4*t^8.35)/(g2^8*g3^4) - (5*t^8.35)/(g2^4*g3^4) - (g2^4*t^8.35)/(g1^8*g3^4) - (g1^4*t^8.35)/(g3^4*g4^8) - (g2^4*t^8.35)/(g3^4*g4^8) - (5*t^8.35)/(g3^4*g4^4) - (2*g1^4*t^8.35)/(g2^4*g3^4*g4^4) - (2*g2^4*t^8.35)/(g1^4*g3^4*g4^4) - (g4^4*t^8.35)/(g1^8*g3^4) - (g4^4*t^8.35)/(g2^8*g3^4) - (2*g4^4*t^8.35)/(g1^4*g2^4*g3^4) - t^8.595/(g1^4*g2^4) - t^8.595/(g1^4*g4^4) - t^8.595/(g2^4*g4^4) - t^4.236/(g1*g2*g3*g4*y) - t^6.586/(g1*g2*g3^5*g4^5*y) - t^6.586/(g1*g2^5*g3^5*g4*y) - t^6.586/(g1^5*g2*g3^5*g4*y) + t^7.699/(g1^4*g2^4*g3^8*y) + t^7.699/(g1^4*g3^8*g4^4*y) + t^7.699/(g2^4*g3^8*g4^4*y) + (g1^3*g3^3*t^7.887)/(g2*g4*y) + (g2^3*g3^3*t^7.887)/(g1*g4*y) + (g3^3*g4^3*t^7.887)/(g1*g2*y) + (2*g1^4*t^8.754)/(g3^4*y) + (2*g2^4*t^8.754)/(g3^4*y) + (g1^4*g2^4*t^8.754)/(g3^4*g4^4*y) + (2*g4^4*t^8.754)/(g3^4*y) + (g1^4*g4^4*t^8.754)/(g2^4*g3^4*y) + (g2^4*g4^4*t^8.754)/(g1^4*g3^4*y) + (g1^2*g2^2*t^8.877)/(g3^2*g4^2*y) + (g1^2*g4^2*t^8.877)/(g2^2*g3^2*y) + (g2^2*g4^2*t^8.877)/(g1^2*g3^2*y) - t^8.935/(g1*g2*g3^9*g4^9*y) - t^8.935/(g1*g2^5*g3^9*g4^5*y) - t^8.935/(g1^5*g2*g3^9*g4^5*y) - t^8.935/(g1*g2^9*g3^9*g4*y) - t^8.935/(g1^5*g2^5*g3^9*g4*y) - t^8.935/(g1^9*g2*g3^9*g4*y) - (t^4.236*y)/(g1*g2*g3*g4) - (t^6.586*y)/(g1*g2*g3^5*g4^5) - (t^6.586*y)/(g1*g2^5*g3^5*g4) - (t^6.586*y)/(g1^5*g2*g3^5*g4) + (t^7.699*y)/(g1^4*g2^4*g3^8) + (t^7.699*y)/(g1^4*g3^8*g4^4) + (t^7.699*y)/(g2^4*g3^8*g4^4) + (g1^3*g3^3*t^7.887*y)/(g2*g4) + (g2^3*g3^3*t^7.887*y)/(g1*g4) + (g3^3*g4^3*t^7.887*y)/(g1*g2) + (2*g1^4*t^8.754*y)/g3^4 + (2*g2^4*t^8.754*y)/g3^4 + (g1^4*g2^4*t^8.754*y)/(g3^4*g4^4) + (2*g4^4*t^8.754*y)/g3^4 + (g1^4*g4^4*t^8.754*y)/(g2^4*g3^4) + (g2^4*g4^4*t^8.754*y)/(g1^4*g3^4) + (g1^2*g2^2*t^8.877*y)/(g3^2*g4^2) + (g1^2*g4^2*t^8.877*y)/(g2^2*g3^2) + (g2^2*g4^2*t^8.877*y)/(g1^2*g3^2) - (t^8.935*y)/(g1*g2*g3^9*g4^9) - (t^8.935*y)/(g1*g2^5*g3^9*g4^5) - (t^8.935*y)/(g1^5*g2*g3^9*g4^5) - (t^8.935*y)/(g1*g2^9*g3^9*g4) - (t^8.935*y)/(g1^5*g2^5*g3^9*g4) - (t^8.935*y)/(g1^9*g2*g3^9*g4)

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
2017	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.7202	0.897	0.803	[M:[0.9657, 1.1723, 0.6898, 0.6898, 0.9657, 0.6898, 1.0343, 1.0343], q:[0.5172, 0.5172], qb:[0.7931, 0.5172], phi:[0.4139]]	3*t^2.069 + 3*t^3.103 + t^3.517 + 6*t^4.139 + 6*t^4.345 + 9*t^5.172 + 3*t^5.586 - 9*t^6. - t^4.242/y - t^4.242*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
536	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$	0.7566	0.9235	0.8193	[M:[0.8325, 1.2021, 0.7634, 0.797, 0.7989, 0.7634, 1.1675], q:[0.5669, 0.6005], qb:[0.6361, 0.6005], phi:[0.399]]	2*t^2.29 + t^2.391 + t^2.397 + 2*t^3.502 + t^3.606 + 3*t^4.58 + t^4.599 + 2*t^4.681 + 2*t^4.687 + 2*t^4.699 + t^4.782 + t^4.788 + t^4.794 + 3*t^4.8 + t^4.806 + 2*t^4.907 + t^5.014 + 3*t^5.793 + 2*t^5.896 + t^5.997 - 6*t^6. - t^4.197/y - t^4.197*y	detail