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
424	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6815	0.8422	0.8091	[M:[0.9604, 1.1268, 0.9689, 0.8732, 0.6818], q:[0.7817, 0.4408], qb:[0.5988, 0.4324], phi:[0.4366]]	[M:[[-7, 1], [4, 0], [-11, -1], [-4, 0], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	${}$	-3	t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^6.025 + t^6.136 + t^6.187 + t^6.262 + t^6.287 + t^6.448 - t^6.499 + 3*t^6.523 + 3*t^6.549 + t^6.574 + 2*t^6.71 + t^6.785 + t^6.811 + t^6.948 + t^6.972 + t^6.997 + t^7.023 + t^7.048 + 3*t^7.284 + t^7.522 + 2*t^7.546 + 2*t^7.571 + t^7.733 + t^7.758 + 2*t^7.808 + 2*t^7.833 + 5*t^7.859 + t^7.995 - 2*t^8.045 + t^8.12 + t^8.146 + t^8.181 + t^8.232 + 2*t^8.307 + t^8.332 - t^8.358 + t^8.382 + t^8.407 + t^8.433 + t^8.494 + 3*t^8.569 + t^8.57 + t^8.594 - 5*t^8.62 + t^8.644 - 2*t^8.645 + t^8.669 + t^8.695 + t^8.72 + 2*t^8.755 + t^8.806 + t^8.83 - 2*t^8.881 - 2*t^8.907 - t^8.932 + t^8.993 - t^4.31/y - t^6.355/y - t^6.929/y - t^7.191/y - t^7.216/y + t^7.403/y + t^7.429/y + (2*t^7.665)/y + t^7.69/y + t^7.927/y + t^7.952/y + t^8.239/y + t^8.264/y - t^8.4/y + (2*t^8.501)/y + (2*t^8.526)/y + t^8.687/y + t^8.713/y + t^8.788/y + t^8.949/y - t^4.31*y - t^6.355*y - t^6.929*y - t^7.191*y - t^7.216*y + t^7.403*y + t^7.429*y + 2*t^7.665*y + t^7.69*y + t^7.927*y + t^7.952*y + t^8.239*y + t^8.264*y - t^8.4*y + 2*t^8.501*y + 2*t^8.526*y + t^8.687*y + t^8.713*y + t^8.788*y + t^8.949*y	g1^10*g2^2*t^2.045 + (2*t^2.62)/g1^4 + (g2*t^2.881)/g1^7 + t^2.907/(g1^11*g2) + g1*g2*t^3.642 + t^3.668/(g1^3*g2) + (g2^2*t^3.904)/g1^2 + t^3.929/g1^6 + g1^20*g2^4*t^4.091 + g1^12*t^4.141 + g1^9*g2*t^4.403 + (g1^5*t^4.429)/g2 + 2*g1^6*g2^2*t^4.665 + g1^20*t^4.902 + g1^3*g2^3*t^4.927 + (g2*t^4.952)/g1 + (3*t^5.239)/g1^8 + (g2*t^5.501)/g1^11 + t^5.526/(g1^15*g2) + g1^11*g2^3*t^5.687 + g1^7*g2*t^5.713 + (g2^2*t^5.763)/g1^14 + t^5.788/g1^18 + t^5.813/(g1^22*g2^2) + g1^8*g2^4*t^5.949 - 3*t^6. - t^6.025/(g1^4*g2^2) + g1^30*g2^6*t^6.136 + g1^22*g2^2*t^6.187 + (g2*t^6.262)/g1^3 + t^6.287/(g1^7*g2) + g1^19*g2^3*t^6.448 - (g1^11*t^6.499)/g2 + (3*g2^2*t^6.523)/g1^6 + (3*t^6.549)/g1^10 + t^6.574/(g1^14*g2^2) + 2*g1^16*g2^4*t^6.71 + (g2^3*t^6.785)/g1^9 + (g2*t^6.811)/g1^13 + g1^30*g2^2*t^6.948 + g1^13*g2^5*t^6.972 + g1^9*g2^3*t^6.997 + g1^5*g2*t^7.023 + (g1*t^7.048)/g2 + 3*g1^2*g2^2*t^7.284 + g1^16*t^7.522 + (2*g2^3*t^7.546)/g1 + (2*g2*t^7.571)/g1^5 + g1^21*g2^5*t^7.733 + g1^17*g2^3*t^7.758 + (2*g2^4*t^7.808)/g1^4 + (2*g2^2*t^7.833)/g1^8 + (5*t^7.859)/g1^12 + g1^18*g2^6*t^7.995 - 2*g1^10*g2^2*t^8.045 + (g2*t^8.12)/g1^15 + t^8.146/(g1^19*g2) + g1^40*g2^8*t^8.181 + g1^32*g2^4*t^8.232 + 2*g1^7*g2^3*t^8.307 + g1^3*g2*t^8.332 - t^8.358/(g1*g2) + (g2^2*t^8.382)/g1^18 + t^8.407/g1^22 + t^8.433/(g1^26*g2^2) + g1^29*g2^5*t^8.494 + 3*g1^4*g2^4*t^8.569 + (g1^17*t^8.57)/g2 + g2^2*t^8.594 - (5*t^8.62)/g1^4 + (g2^3*t^8.644)/g1^21 - (2*t^8.645)/(g1^8*g2^2) + (g2*t^8.669)/g1^25 + t^8.695/(g1^29*g2) + t^8.72/(g1^33*g2^3) + 2*g1^26*g2^6*t^8.755 + g1^18*g2^2*t^8.806 + g1*g2^5*t^8.83 - (2*g2*t^8.881)/g1^7 - (2*t^8.907)/(g1^11*g2) - t^8.932/(g1^15*g2^3) + g1^40*g2^4*t^8.993 - t^4.31/(g1^2*y) - (g1^8*g2^2*t^6.355)/y - t^6.929/(g1^6*y) - (g2*t^7.191)/(g1^9*y) - t^7.216/(g1^13*g2*y) + (g1^9*g2*t^7.403)/y + (g1^5*t^7.429)/(g2*y) + (2*g1^6*g2^2*t^7.665)/y + (g1^2*t^7.69)/y + (g1^3*g2^3*t^7.927)/y + (g2*t^7.952)/(g1*y) + t^8.239/(g1^8*y) + t^8.264/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.4)/y + (2*g2*t^8.501)/(g1^11*y) + (2*t^8.526)/(g1^15*g2*y) + (g1^11*g2^3*t^8.687)/y + (g1^7*g2*t^8.713)/y + t^8.788/(g1^18*y) + (g1^8*g2^4*t^8.949)/y - (t^4.31*y)/g1^2 - g1^8*g2^2*t^6.355*y - (t^6.929*y)/g1^6 - (g2*t^7.191*y)/g1^9 - (t^7.216*y)/(g1^13*g2) + g1^9*g2*t^7.403*y + (g1^5*t^7.429*y)/g2 + 2*g1^6*g2^2*t^7.665*y + g1^2*t^7.69*y + g1^3*g2^3*t^7.927*y + (g2*t^7.952*y)/g1 + (t^8.239*y)/g1^8 + (t^8.264*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.4*y + (2*g2*t^8.501*y)/g1^11 + (2*t^8.526*y)/(g1^15*g2) + g1^11*g2^3*t^8.687*y + g1^7*g2*t^8.713*y + (t^8.788*y)/g1^18 + g1^8*g2^4*t^8.949*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
708	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6814	0.8416	0.8096	[M:[0.9657, 1.1263, 0.9657, 0.8737, 0.6895], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]]	t^2.069 + 2*t^2.621 + 2*t^2.897 + 2*t^3.655 + 2*t^3.931 + 2*t^4.137 + 2*t^4.413 + 2*t^4.69 + t^4.895 + 2*t^4.966 + 3*t^5.242 + 2*t^5.518 + 2*t^5.724 + 3*t^5.794 - 3*t^6. - t^4.31/y - t^4.31*y	detail
709	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6779	0.8345	0.8124	[M:[0.9891, 1.1291, 0.93, 0.8709, 0.7527], q:[0.7823, 0.4059], qb:[0.605, 0.465], phi:[0.4355]]	t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. - t^4.306/y - t^4.306*y	detail
710	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.7021	0.8818	0.7962	[M:[0.9685, 1.1251, 0.9685, 0.8749, 0.6876, 0.6876], q:[0.7813, 0.4375], qb:[0.594, 0.4375], phi:[0.4375]]	2*t^2.063 + 2*t^2.625 + 2*t^2.906 + 2*t^3.656 + t^3.937 + 4*t^4.126 + 2*t^4.407 + 4*t^4.688 + t^4.876 + 4*t^4.969 + 3*t^5.249 + 2*t^5.53 + 4*t^5.719 + 3*t^5.811 - 3*t^6. - t^4.312/y - t^4.312*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
264	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$	0.6607	0.8017	0.8242	[M:[0.9624, 1.1278, 0.9624, 0.8722], q:[0.782, 0.4361], qb:[0.6015, 0.4361], phi:[0.4361]]	2*t^2.617 + 2*t^2.887 + 2*t^3.654 + 3*t^3.925 + t^4.15 + 2*t^4.421 + t^4.917 + 3*t^5.233 + 2*t^5.504 + 3*t^5.774 - 5*t^6. - t^4.308/y - t^4.308*y	detail