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
3206	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$	0.6909	0.8885	0.7776	[M:[1.1951, 0.7368, 0.8049, 1.1269, 0.8731, 0.8049, 0.7121], q:[0.4365, 0.3684], qb:[0.7585, 0.5047], phi:[0.483]]	[M:[[10], [-34], [-10], [-14], [14], [-10], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$	${}$	-2	t^2.136 + t^2.21 + 2*t^2.415 + t^2.619 + t^2.824 + t^2.898 + t^3.381 + t^3.659 + 2*t^4.068 + 2*t^4.273 + t^4.347 + t^4.421 + t^4.477 + 2*t^4.551 + 2*t^4.625 + t^4.756 + 4*t^4.83 + t^4.96 + 4*t^5.034 + t^5.108 + 3*t^5.238 + 2*t^5.313 + t^5.443 + 2*t^5.517 + t^5.647 + t^5.721 + 2*t^5.796 + t^5.87 - 2*t^6. + 2*t^6.074 + 3*t^6.279 + t^6.409 + 5*t^6.483 + 2*t^6.557 + t^6.613 + t^6.631 + 5*t^6.687 + t^6.762 + 2*t^6.836 + 5*t^6.892 + 4*t^6.966 + 4*t^7.04 + 3*t^7.096 + 2*t^7.17 + 5*t^7.244 + t^7.301 + 2*t^7.319 + 3*t^7.375 + 6*t^7.449 + 2*t^7.523 + 5*t^7.653 + 5*t^7.727 + t^7.784 + 3*t^7.858 + 4*t^7.932 + 2*t^8.062 + t^8.08 + 2*t^8.136 + t^8.267 + 2*t^8.285 + t^8.341 - 5*t^8.415 + t^8.471 + 5*t^8.489 + 4*t^8.545 - 3*t^8.619 + 7*t^8.693 + 2*t^8.749 + 2*t^8.768 - 2*t^8.824 + t^8.842 + 6*t^8.898 + t^8.954 + 3*t^8.972 - t^4.449/y - t^6.585/y - t^6.659/y - t^6.864/y + (3*t^7.551)/y + (2*t^7.625)/y + t^7.756/y + (2*t^7.83)/y + t^7.96/y + (5*t^8.034)/y + t^8.108/y + (3*t^8.238)/y + (3*t^8.313)/y + t^8.443/y + (2*t^8.517)/y + t^8.591/y + (2*t^8.796)/y - t^4.449*y - t^6.585*y - t^6.659*y - t^6.864*y + 3*t^7.551*y + 2*t^7.625*y + t^7.756*y + 2*t^7.83*y + t^7.96*y + 5*t^8.034*y + t^8.108*y + 3*t^8.238*y + 3*t^8.313*y + t^8.443*y + 2*t^8.517*y + t^8.591*y + 2*t^8.796*y	g1^16*t^2.136 + t^2.21/g1^34 + (2*t^2.415)/g1^10 + g1^14*t^2.619 + g1^38*t^2.824 + t^2.898/g1^12 + t^3.381/g1^14 + t^3.659/g1^40 + 2*g1^8*t^4.068 + 2*g1^32*t^4.273 + t^4.347/g1^18 + t^4.421/g1^68 + g1^56*t^4.477 + 2*g1^6*t^4.551 + (2*t^4.625)/g1^44 + g1^30*t^4.756 + (4*t^4.83)/g1^20 + g1^54*t^4.96 + 4*g1^4*t^5.034 + t^5.108/g1^46 + 3*g1^28*t^5.238 + (2*t^5.313)/g1^22 + g1^52*t^5.443 + 2*g1^2*t^5.517 + g1^76*t^5.647 + g1^26*t^5.721 + (2*t^5.796)/g1^24 + t^5.87/g1^74 - 2*t^6. + (2*t^6.074)/g1^50 + (3*t^6.279)/g1^26 + g1^48*t^6.409 + (5*t^6.483)/g1^2 + (2*t^6.557)/g1^52 + g1^72*t^6.613 + t^6.631/g1^102 + 5*g1^22*t^6.687 + t^6.762/g1^28 + (2*t^6.836)/g1^78 + 5*g1^46*t^6.892 + (4*t^6.966)/g1^4 + (4*t^7.04)/g1^54 + 3*g1^70*t^7.096 + 2*g1^20*t^7.17 + (5*t^7.244)/g1^30 + g1^94*t^7.301 + (2*t^7.319)/g1^80 + 3*g1^44*t^7.375 + (6*t^7.449)/g1^6 + (2*t^7.523)/g1^56 + 5*g1^18*t^7.653 + (5*t^7.727)/g1^32 + g1^92*t^7.784 + 3*g1^42*t^7.858 + (4*t^7.932)/g1^8 + 2*g1^66*t^8.062 + t^8.08/g1^108 + 2*g1^16*t^8.136 + g1^90*t^8.267 + (2*t^8.285)/g1^84 + g1^40*t^8.341 - (5*t^8.415)/g1^10 + g1^114*t^8.471 + (5*t^8.489)/g1^60 + 4*g1^64*t^8.545 - 3*g1^14*t^8.619 + (7*t^8.693)/g1^36 + 2*g1^88*t^8.749 + (2*t^8.768)/g1^86 - 2*g1^38*t^8.824 + t^8.842/g1^136 + (6*t^8.898)/g1^12 + g1^112*t^8.954 + (3*t^8.972)/g1^62 - t^4.449/(g1^6*y) - (g1^10*t^6.585)/y - t^6.659/(g1^40*y) - t^6.864/(g1^16*y) + (3*g1^6*t^7.551)/y + (2*t^7.625)/(g1^44*y) + (g1^30*t^7.756)/y + (2*t^7.83)/(g1^20*y) + (g1^54*t^7.96)/y + (5*g1^4*t^8.034)/y + t^8.108/(g1^46*y) + (3*g1^28*t^8.238)/y + (3*t^8.313)/(g1^22*y) + (g1^52*t^8.443)/y + (2*g1^2*t^8.517)/y + t^8.591/(g1^48*y) + (2*t^8.796)/(g1^24*y) - (t^4.449*y)/g1^6 - g1^10*t^6.585*y - (t^6.659*y)/g1^40 - (t^6.864*y)/g1^16 + 3*g1^6*t^7.551*y + (2*t^7.625*y)/g1^44 + g1^30*t^7.756*y + (2*t^7.83*y)/g1^20 + g1^54*t^7.96*y + 5*g1^4*t^8.034*y + (t^8.108*y)/g1^46 + 3*g1^28*t^8.238*y + (3*t^8.313*y)/g1^22 + g1^52*t^8.443*y + 2*g1^2*t^8.517*y + (t^8.591*y)/g1^48 + (2*t^8.796*y)/g1^24

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
5092	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$	0.6145	0.7812	0.7867	[X:[1.4815], M:[1.2593, 0.5185, 0.7407, 1.037, 0.963, 0.7407, 0.8148], q:[0.4815, 0.2593], qb:[0.7778, 0.7037], phi:[0.4444]]	2*t^2.222 + t^2.444 + t^2.667 + 2*t^2.889 + t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 5*t^5.111 + 3*t^5.333 + 4*t^5.556 + 5*t^5.778 - t^6. - t^4.333/y - t^4.333*y	detail	{a: 448/729, c: 1139/1458, X1: 40/27, M1: 34/27, M2: 14/27, M3: 20/27, M4: 28/27, M5: 26/27, M6: 20/27, M7: 22/27, q1: 13/27, q2: 7/27, qb1: 7/9, qb2: 19/27, phi1: 4/9}

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
2107	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6707	0.8503	0.7887	[M:[1.1963, 0.7324, 0.8037, 1.1251, 0.8749, 0.8037], q:[0.4374, 0.3662], qb:[0.7589, 0.5087], phi:[0.4822]]	t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. - t^4.447/y - t^4.447*y	detail