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
55180	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6694	0.8449	0.7923	[M:[1.1542, 0.7313, 0.8458, 0.8076, 0.8458, 0.7313], q:[0.4038, 0.442], qb:[0.8649, 0.7504], phi:[0.3847]]	[M:[[12], [18], [-12], [-2], [-12], [18]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$	${}\phi_{1}^{3}q_{1}q_{2}$	-1	2*t^2.194 + t^2.308 + t^2.423 + 2*t^2.537 + t^3.577 + t^3.692 + t^3.921 + 3*t^4.388 + 2*t^4.502 + 3*t^4.617 + 5*t^4.731 + 4*t^4.846 + 2*t^4.96 + 3*t^5.075 + t^5.771 + t^5.885 - t^6. + 3*t^6.115 + 2*t^6.229 + t^6.344 + 2*t^6.458 + 4*t^6.581 + 3*t^6.696 + 5*t^6.811 + 8*t^6.925 + 7*t^7.04 + 6*t^7.154 + 7*t^7.269 + 4*t^7.383 + 2*t^7.498 + 4*t^7.612 + t^7.841 + t^7.965 - 4*t^8.194 - 2*t^8.423 - 2*t^8.537 + 3*t^8.652 + 4*t^8.767 + 5*t^8.775 + 2*t^8.881 + 4*t^8.89 + 3*t^8.996 - t^4.154/y - (2*t^6.348)/y - t^6.463/y - t^6.577/y - t^6.692/y + t^7.388/y + (2*t^7.502)/y + (3*t^7.617)/y + (6*t^7.731)/y + (3*t^7.846)/y + (4*t^7.96)/y + t^8.075/y - (3*t^8.542)/y - (2*t^8.656)/y - t^8.771/y - t^4.154*y - 2*t^6.348*y - t^6.463*y - t^6.577*y - t^6.692*y + t^7.388*y + 2*t^7.502*y + 3*t^7.617*y + 6*t^7.731*y + 3*t^7.846*y + 4*t^7.96*y + t^8.075*y - 3*t^8.542*y - 2*t^8.656*y - t^8.771*y	2*g1^18*t^2.194 + g1^8*t^2.308 + t^2.423/g1^2 + (2*t^2.537)/g1^12 + g1^2*t^3.577 + t^3.692/g1^8 + t^3.921/g1^28 + 3*g1^36*t^4.388 + 2*g1^26*t^4.502 + 3*g1^16*t^4.617 + 5*g1^6*t^4.731 + (4*t^4.846)/g1^4 + (2*t^4.96)/g1^14 + (3*t^5.075)/g1^24 + g1^20*t^5.771 + g1^10*t^5.885 - t^6. + (3*t^6.115)/g1^10 + (2*t^6.229)/g1^20 + t^6.344/g1^30 + (2*t^6.458)/g1^40 + 4*g1^54*t^6.581 + 3*g1^44*t^6.696 + 5*g1^34*t^6.811 + 8*g1^24*t^6.925 + 7*g1^14*t^7.04 + 6*g1^4*t^7.154 + (7*t^7.269)/g1^6 + (4*t^7.383)/g1^16 + (2*t^7.498)/g1^26 + (4*t^7.612)/g1^36 + t^7.841/g1^56 + g1^38*t^7.965 - 4*g1^18*t^8.194 - (2*t^8.423)/g1^2 - (2*t^8.537)/g1^12 + (3*t^8.652)/g1^22 + (4*t^8.767)/g1^32 + 5*g1^72*t^8.775 + (2*t^8.881)/g1^42 + 4*g1^62*t^8.89 + (3*t^8.996)/g1^52 - (g1^4*t^4.154)/y - (2*g1^22*t^6.348)/y - (g1^12*t^6.463)/y - (g1^2*t^6.577)/y - t^6.692/(g1^8*y) + (g1^36*t^7.388)/y + (2*g1^26*t^7.502)/y + (3*g1^16*t^7.617)/y + (6*g1^6*t^7.731)/y + (3*t^7.846)/(g1^4*y) + (4*t^7.96)/(g1^14*y) + t^8.075/(g1^24*y) - (3*g1^40*t^8.542)/y - (2*g1^30*t^8.656)/y - (g1^20*t^8.771)/y - g1^4*t^4.154*y - 2*g1^22*t^6.348*y - g1^12*t^6.463*y - g1^2*t^6.577*y - (t^6.692*y)/g1^8 + g1^36*t^7.388*y + 2*g1^26*t^7.502*y + 3*g1^16*t^7.617*y + 6*g1^6*t^7.731*y + (3*t^7.846*y)/g1^4 + (4*t^7.96*y)/g1^14 + (t^8.075*y)/g1^24 - 3*g1^40*t^8.542*y - 2*g1^30*t^8.656*y - g1^20*t^8.771*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
56839	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$	0.6877	0.8778	0.7834	[M:[1.149, 0.7236, 0.851, 0.8085, 0.851, 0.7236, 0.766], q:[0.4042, 0.4467], qb:[0.8722, 0.7448], phi:[0.383]]	2*t^2.171 + 2*t^2.298 + t^2.425 + 2*t^2.553 + t^3.575 + t^3.957 + 3*t^4.341 + 4*t^4.469 + 5*t^4.596 + 6*t^4.724 + 6*t^4.851 + 2*t^4.978 + 3*t^5.106 + t^5.745 - 2*t^6. - t^4.149/y - t^4.149*y	detail
56840	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.6901	0.8854	0.7795	[M:[1.1505, 0.7257, 0.8495, 0.8083, 0.8495, 0.7257, 0.6845], q:[0.4041, 0.4454], qb:[0.8701, 0.7464], phi:[0.3835]]	t^2.053 + 2*t^2.177 + t^2.301 + t^2.425 + 2*t^2.549 + t^3.575 + t^3.699 + t^4.107 + 2*t^4.231 + 4*t^4.354 + 3*t^4.478 + 5*t^4.602 + 5*t^4.726 + 4*t^4.85 + 2*t^4.973 + 3*t^5.097 + t^5.629 + 2*t^5.752 + t^5.876 - t^6. - t^4.15/y - t^4.15*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
47037	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$	0.6499	0.8094	0.803	[M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]]	t^2.237 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + t^3.763 + t^3.854 + t^4.474 + t^4.564 + 2*t^4.655 + 3*t^4.746 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 - t^4.164/y - t^4.164*y	detail