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
3099	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	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]]	[M:[[4], [-12], [-4], [12], [12], [-18], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$	-1	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. + 2*t^6.169 + 6*t^6.276 + 7*t^6.445 + 4*t^6.552 + t^6.615 + 8*t^6.721 + 4*t^6.89 + 19*t^6.997 + t^7.06 + 10*t^7.166 + 5*t^7.336 + t^7.442 + t^7.505 + 5*t^7.611 + 2*t^7.781 + 24*t^7.887 + 2*t^8.056 + 2*t^8.163 + 3*t^8.226 - 12*t^8.332 + t^8.439 + 4*t^8.502 + 12*t^8.608 + 2*t^8.671 + 16*t^8.777 + 10*t^8.884 + 2*t^8.947 - t^4.611/y - (2*t^6.944)/y - t^7.113/y + (5*t^7.389)/y + t^7.558/y + (6*t^7.664)/y + (3*t^7.834)/y + t^8.11/y + (5*t^8.279)/y + (12*t^8.555)/y + (4*t^8.724)/y - t^4.611*y - 2*t^6.944*y - t^7.113*y + 5*t^7.389*y + t^7.558*y + 6*t^7.664*y + 3*t^7.834*y + t^8.11*y + 5*t^8.279*y + 12*t^8.555*y + 4*t^8.724*y	t^2.056/g1^10 + 4*g1^12*t^2.332 + t^2.502/g1^18 + (3*t^3.223)/g1^4 + t^3.668/g1^12 + 2*g1^10*t^3.944 + t^4.113/g1^20 + g1^32*t^4.219 + 4*g1^2*t^4.389 + t^4.558/g1^28 + 10*g1^24*t^4.664 + (4*t^4.834)/g1^6 + t^5.003/g1^36 + (3*t^5.279)/g1^14 + 11*g1^8*t^5.555 + (2*t^5.724)/g1^22 - t^6. + (2*t^6.169)/g1^30 + 6*g1^22*t^6.276 + (7*t^6.445)/g1^8 + 4*g1^44*t^6.552 + t^6.615/g1^38 + 8*g1^14*t^6.721 + (4*t^6.89)/g1^16 + 19*g1^36*t^6.997 + t^7.06/g1^46 + 10*g1^6*t^7.166 + (5*t^7.336)/g1^24 + g1^28*t^7.442 + t^7.505/g1^54 + (5*t^7.611)/g1^2 + (2*t^7.781)/g1^32 + 24*g1^20*t^7.887 + (2*t^8.056)/g1^10 + 2*g1^42*t^8.163 + (3*t^8.226)/g1^40 - 12*g1^12*t^8.332 + g1^64*t^8.439 + (4*t^8.502)/g1^18 + 12*g1^34*t^8.608 + (2*t^8.671)/g1^48 + 16*g1^4*t^8.777 + 10*g1^56*t^8.884 + (2*t^8.947)/g1^26 - t^4.611/(g1^2*y) - (2*g1^10*t^6.944)/y - t^7.113/(g1^20*y) + (5*g1^2*t^7.389)/y + t^7.558/(g1^28*y) + (6*g1^24*t^7.664)/y + (3*t^7.834)/(g1^6*y) + (g1^16*t^8.11)/y + (5*t^8.279)/(g1^14*y) + (12*g1^8*t^8.555)/y + (4*t^8.724)/(g1^22*y) - (t^4.611*y)/g1^2 - 2*g1^10*t^6.944*y - (t^7.113*y)/g1^20 + 5*g1^2*t^7.389*y + (t^7.558*y)/g1^28 + 6*g1^24*t^7.664*y + (3*t^7.834*y)/g1^6 + g1^16*t^8.11*y + (5*t^8.279*y)/g1^14 + 12*g1^8*t^8.555*y + (4*t^8.724*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
4975	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6477	0.8688	0.7455	[M:[0.9231, 1.2306, 1.0769, 0.7694, 0.7694, 0.8459, 0.7694, 0.7694], q:[0.7308, 0.3461], qb:[0.3461, 0.4233], phi:[0.5384]]	t^2.077 + 5*t^2.308 + t^2.538 + 3*t^3.231 + 2*t^3.923 + t^4.153 + t^4.155 + 5*t^4.385 + t^4.614 + 15*t^4.616 + 5*t^4.846 + t^5.076 + 3*t^5.307 + 14*t^5.539 + t^5.768 - 5*t^6. - t^4.615/y - t^4.615*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
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]]	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. - t^4.607/y - t^4.607*y	detail