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
5151	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$	0.6468	0.8588	0.7532	[M:[0.9564, 1.1307, 0.9564, 0.8693, 0.6955, 0.6961, 0.8693, 1.0436], q:[0.7391, 0.3045], qb:[0.4782, 0.3911], phi:[0.5218]]	[M:[[4], [-12], [4], [12], [5], [-18], [12], [-4]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$	${}M_{1}M_{8}$	-1	2*t^2.087 + t^2.088 + t^2.348 + 2*t^2.608 + t^2.869 + t^3.131 + t^3.391 + 2*t^3.652 + 4*t^4.173 + 2*t^4.175 + t^4.176 + 3*t^4.435 + t^4.436 + 4*t^4.694 + 3*t^4.696 + 4*t^4.956 + t^4.957 + 3*t^5.216 + 3*t^5.217 + t^5.219 + 4*t^5.477 + t^5.479 + 6*t^5.739 + t^5.74 + 2*t^5.998 - t^6. + 9*t^6.26 + 2*t^6.261 + 2*t^6.263 + t^6.265 + 5*t^6.521 + 3*t^6.523 + t^6.524 + 8*t^6.781 + 5*t^6.783 + 3*t^6.784 + 10*t^7.043 + 2*t^7.044 + t^7.046 + 6*t^7.302 + 9*t^7.304 + 2*t^7.306 + t^7.307 + 10*t^7.564 + t^7.565 + t^7.567 + 4*t^7.824 + 11*t^7.825 + 2*t^7.827 + t^7.828 + 7*t^8.085 - t^8.087 - 2*t^8.088 + 17*t^8.346 + t^8.348 + 2*t^8.35 + 2*t^8.351 + t^8.353 + 3*t^8.606 + 4*t^8.608 + t^8.609 + 3*t^8.611 + t^8.613 + 16*t^8.868 + 2*t^8.869 + 4*t^8.871 + 3*t^8.872 - t^4.565/y - t^6.652/y - t^6.654/y + (2*t^7.175)/y + (2*t^7.435)/y + t^7.436/y + (4*t^7.694)/y + (2*t^7.696)/y + (4*t^7.956)/y + (2*t^7.957)/y + t^8.216/y + (3*t^8.217)/y + t^8.219/y + (5*t^8.477)/y + (3*t^8.479)/y + (6*t^8.739)/y + t^8.74/y - t^8.742/y + (2*t^8.998)/y - t^4.565*y - t^6.652*y - t^6.654*y + 2*t^7.175*y + 2*t^7.435*y + t^7.436*y + 4*t^7.694*y + 2*t^7.696*y + 4*t^7.956*y + 2*t^7.957*y + t^8.216*y + 3*t^8.217*y + t^8.219*y + 5*t^8.477*y + 3*t^8.479*y + 6*t^8.739*y + t^8.74*y - t^8.742*y + 2*t^8.998*y	2*g1^5*t^2.087 + t^2.088/g1^18 + t^2.348/g1^3 + 2*g1^12*t^2.608 + g1^4*t^2.869 + t^3.131/g1^4 + g1^11*t^3.391 + 2*g1^3*t^3.652 + 4*g1^10*t^4.173 + (2*t^4.175)/g1^13 + t^4.176/g1^36 + 3*g1^2*t^4.435 + t^4.436/g1^21 + 4*g1^17*t^4.694 + (3*t^4.696)/g1^6 + 4*g1^9*t^4.956 + t^4.957/g1^14 + 3*g1^24*t^5.216 + 3*g1*t^5.217 + t^5.219/g1^22 + 4*g1^16*t^5.477 + t^5.479/g1^7 + 6*g1^8*t^5.739 + t^5.74/g1^15 + 2*g1^23*t^5.998 - t^6. + 9*g1^15*t^6.26 + (2*t^6.261)/g1^8 + (2*t^6.263)/g1^31 + t^6.265/g1^54 + 5*g1^7*t^6.521 + (3*t^6.523)/g1^16 + t^6.524/g1^39 + 8*g1^22*t^6.781 + (5*t^6.783)/g1 + (3*t^6.784)/g1^24 + 10*g1^14*t^7.043 + (2*t^7.044)/g1^9 + t^7.046/g1^32 + 6*g1^29*t^7.302 + 9*g1^6*t^7.304 + (2*t^7.306)/g1^17 + t^7.307/g1^40 + 10*g1^21*t^7.564 + t^7.565/g1^2 + t^7.567/g1^25 + 4*g1^36*t^7.824 + 11*g1^13*t^7.825 + (2*t^7.827)/g1^10 + t^7.828/g1^33 + 7*g1^28*t^8.085 - g1^5*t^8.087 - (2*t^8.088)/g1^18 + 17*g1^20*t^8.346 + t^8.348/g1^3 + (2*t^8.35)/g1^26 + (2*t^8.351)/g1^49 + t^8.353/g1^72 + 3*g1^35*t^8.606 + 4*g1^12*t^8.608 + t^8.609/g1^11 + (3*t^8.611)/g1^34 + t^8.613/g1^57 + 16*g1^27*t^8.868 + 2*g1^4*t^8.869 + (4*t^8.871)/g1^19 + (3*t^8.872)/g1^42 - t^4.565/(g1^2*y) - (g1^3*t^6.652)/y - t^6.654/(g1^20*y) + (2*t^7.175)/(g1^13*y) + (2*g1^2*t^7.435)/y + t^7.436/(g1^21*y) + (4*g1^17*t^7.694)/y + (2*t^7.696)/(g1^6*y) + (4*g1^9*t^7.956)/y + (2*t^7.957)/(g1^14*y) + (g1^24*t^8.216)/y + (3*g1*t^8.217)/y + t^8.219/(g1^22*y) + (5*g1^16*t^8.477)/y + (3*t^8.479)/(g1^7*y) + (6*g1^8*t^8.739)/y + t^8.74/(g1^15*y) - t^8.742/(g1^38*y) + (2*g1^23*t^8.998)/y - (t^4.565*y)/g1^2 - g1^3*t^6.652*y - (t^6.654*y)/g1^20 + (2*t^7.175*y)/g1^13 + 2*g1^2*t^7.435*y + (t^7.436*y)/g1^21 + 4*g1^17*t^7.694*y + (2*t^7.696*y)/g1^6 + 4*g1^9*t^7.956*y + (2*t^7.957*y)/g1^14 + g1^24*t^8.216*y + 3*g1*t^8.217*y + (t^8.219*y)/g1^22 + 5*g1^16*t^8.477*y + (3*t^8.479*y)/g1^7 + 6*g1^8*t^8.739*y + (t^8.74*y)/g1^15 - (t^8.742*y)/g1^38 + 2*g1^23*t^8.998*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
6723	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{9}$	0.6429	0.8517	0.7548	[M:[0.9594, 1.1218, 0.9594, 0.8782, 0.6993, 0.6826, 0.8782, 1.0406, 1.0406], q:[0.7399, 0.3007], qb:[0.4797, 0.3985], phi:[0.5203]]	t^2.048 + 2*t^2.098 + t^2.341 + 2*t^2.635 + 2*t^3.122 + t^3.415 + 2*t^3.659 + t^4.096 + 2*t^4.146 + 4*t^4.196 + t^4.389 + 3*t^4.439 + 3*t^4.683 + 4*t^4.733 + 2*t^4.976 + 2*t^5.17 + 4*t^5.22 + 3*t^5.269 + 2*t^5.463 + 2*t^5.513 + t^5.707 + 7*t^5.756 - 2*t^6. - t^4.561/y - t^4.561*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
3496	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.651	0.8665	0.7513	[M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]]	2*t^2.075 + t^2.129 + t^2.355 + 2*t^2.581 + 2*t^2.86 + t^3.366 + 2*t^3.645 + 4*t^4.151 + 2*t^4.204 + t^4.257 + 3*t^4.43 + t^4.483 + 4*t^4.656 + 3*t^4.71 + 6*t^4.936 + 2*t^4.989 + 3*t^5.162 + 2*t^5.215 + 6*t^5.441 + 6*t^5.721 + t^5.774 + 2*t^5.947 - 2*t^6. - t^4.57/y - t^4.57*y	detail