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
2032	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6122	0.8041	0.7613	[M:[0.9289, 1.2134, 1.0711, 0.7866, 0.7866, 0.8201], q:[0.7322, 0.3389], qb:[0.3389, 0.4477], phi:[0.5356]]	[M:[[4], [-12], [-4], [12], [12], [-18]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1	t^2.034 + 3*t^2.36 + t^2.46 + 3*t^3.213 + 2*t^3.64 + 2*t^3.966 + t^4.067 + t^4.293 + 3*t^4.393 + t^4.494 + 6*t^4.72 + 3*t^4.82 + t^4.921 + 3*t^5.247 + 8*t^5.573 + 3*t^5.674 + t^6. + 3*t^6.101 + 4*t^6.326 + 6*t^6.427 + t^6.527 + 3*t^6.653 + 4*t^6.753 + 6*t^6.854 + t^6.954 + 9*t^7.079 + 6*t^7.18 + 6*t^7.28 + t^7.381 + t^7.506 + 4*t^7.607 + 3*t^7.707 + 14*t^7.933 + 3*t^8.034 + 4*t^8.134 + 2*t^8.259 - 5*t^8.36 + 5*t^8.46 + 3*t^8.561 + t^8.586 + 6*t^8.686 + 9*t^8.787 + 4*t^8.887 + t^8.988 - t^4.607/y - t^6.966/y - t^7.067/y + (4*t^7.393)/y + t^7.494/y + (3*t^7.72)/y + (2*t^7.82)/y + t^8.146/y + (4*t^8.247)/y + (9*t^8.573)/y + (5*t^8.674)/y - t^4.607*y - t^6.966*y - t^7.067*y + 4*t^7.393*y + t^7.494*y + 3*t^7.72*y + 2*t^7.82*y + t^8.146*y + 4*t^8.247*y + 9*t^8.573*y + 5*t^8.674*y	t^2.034/g1^10 + 3*g1^12*t^2.36 + t^2.46/g1^18 + (3*t^3.213)/g1^4 + (2*t^3.64)/g1^12 + 2*g1^10*t^3.966 + t^4.067/g1^20 + g1^32*t^4.293 + 3*g1^2*t^4.393 + t^4.494/g1^28 + 6*g1^24*t^4.72 + (3*t^4.82)/g1^6 + t^4.921/g1^36 + (3*t^5.247)/g1^14 + 8*g1^8*t^5.573 + (3*t^5.674)/g1^22 + t^6. + (3*t^6.101)/g1^30 + 4*g1^22*t^6.326 + (6*t^6.427)/g1^8 + t^6.527/g1^38 + 3*g1^44*t^6.653 + 4*g1^14*t^6.753 + (6*t^6.854)/g1^16 + t^6.954/g1^46 + 9*g1^36*t^7.079 + 6*g1^6*t^7.18 + (6*t^7.28)/g1^24 + t^7.381/g1^54 + g1^28*t^7.506 + (4*t^7.607)/g1^2 + (3*t^7.707)/g1^32 + 14*g1^20*t^7.933 + (3*t^8.034)/g1^10 + (4*t^8.134)/g1^40 + 2*g1^42*t^8.259 - 5*g1^12*t^8.36 + (5*t^8.46)/g1^18 + (3*t^8.561)/g1^48 + g1^64*t^8.586 + 6*g1^34*t^8.686 + 9*g1^4*t^8.787 + (4*t^8.887)/g1^26 + t^8.988/g1^56 - t^4.607/(g1^2*y) - (g1^10*t^6.966)/y - t^7.067/(g1^20*y) + (4*g1^2*t^7.393)/y + t^7.494/(g1^28*y) + (3*g1^24*t^7.72)/y + (2*t^7.82)/(g1^6*y) + (g1^16*t^8.146)/y + (4*t^8.247)/(g1^14*y) + (9*g1^8*t^8.573)/y + (5*t^8.674)/(g1^22*y) - (t^4.607*y)/g1^2 - g1^10*t^6.966*y - (t^7.067*y)/g1^20 + 4*g1^2*t^7.393*y + (t^7.494*y)/g1^28 + 3*g1^24*t^7.72*y + (2*t^7.82*y)/g1^6 + g1^16*t^8.146*y + (4*t^8.247*y)/g1^14 + 9*g1^8*t^8.573*y + (5*t^8.674*y)/g1^22

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
3099	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.6297	0.8357	0.7535	[M:[0.9258, 1.2226, 1.0742, 0.7774, 0.7774, 0.8339, 0.7774], q:[0.7315, 0.3427], qb:[0.3427, 0.4347], phi:[0.5371]]	t^2.056 + 4*t^2.332 + t^2.502 + 3*t^3.223 + t^3.668 + 2*t^3.944 + t^4.113 + t^4.219 + 4*t^4.389 + t^4.558 + 10*t^4.664 + 4*t^4.834 + t^5.003 + 3*t^5.279 + 11*t^5.555 + 2*t^5.724 - t^6. - t^4.611/y - t^4.611*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
847	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.5979	0.7809	0.7657	[M:[0.9223, 1.2331, 1.0777, 0.7669, 0.7669], q:[0.7306, 0.3471], qb:[0.3471, 0.4197], phi:[0.5389]]	t^2.083 + 3*t^2.301 + 3*t^3.233 + t^3.451 + 2*t^3.699 + 2*t^3.917 + t^4.135 + t^4.166 + 3*t^4.383 + 6*t^4.601 + 3*t^5.316 + 9*t^5.534 + 3*t^5.752 + t^6. - t^4.617/y - t^4.617*y	detail