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
5180	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6889	0.86	0.801	[M:[0.6811, 1.1063, 0.9718, 0.7375, 1.1063, 1.0282, 1.0498, 0.8156], q:[0.7766, 0.5424], qb:[0.4859, 0.4078], phi:[0.4468]]	[M:[[36], [-12], [22], [-8], [-12], [-22], [32], [2]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$	${}$	-2	t^2.043 + t^2.213 + t^2.447 + t^3.085 + t^3.15 + 2*t^3.319 + t^3.787 + t^4.022 + t^4.086 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.49 + t^4.595 + t^4.659 + t^4.894 + t^5.128 + t^5.193 + t^5.297 + 3*t^5.362 + 3*t^5.532 + t^5.766 - 2*t^6. + t^6.065 + t^6.13 + 2*t^6.234 + 3*t^6.299 + 2*t^6.404 + 5*t^6.468 + t^6.533 + 5*t^6.638 + t^6.703 + t^6.807 + t^6.872 + t^6.937 + t^7.042 + t^7.171 + t^7.236 + 3*t^7.341 + 4*t^7.405 + 2*t^7.51 + 5*t^7.575 + t^7.679 + 3*t^7.744 + t^7.809 + t^7.914 + t^7.978 - 2*t^8.043 + t^8.108 - t^8.148 + t^8.173 - 2*t^8.213 + 2*t^8.277 + 3*t^8.342 + 7*t^8.512 + t^8.576 + 2*t^8.616 + 8*t^8.681 + 2*t^8.746 + t^8.786 + 6*t^8.85 - t^4.341/y - t^6.384/y - t^6.553/y - t^6.787/y + t^7.022/y + t^7.191/y + t^7.256/y + t^7.894/y + (2*t^8.128)/y + t^8.193/y + (2*t^8.297)/y + (3*t^8.362)/y - t^8.427/y + (3*t^8.532)/y + t^8.766/y - t^4.341*y - t^6.384*y - t^6.553*y - t^6.787*y + t^7.022*y + t^7.191*y + t^7.256*y + t^7.894*y + 2*t^8.128*y + t^8.193*y + 2*t^8.297*y + 3*t^8.362*y - t^8.427*y + 3*t^8.532*y + t^8.766*y	g1^36*t^2.043 + t^2.213/g1^8 + g1^2*t^2.447 + t^3.085/g1^22 + g1^32*t^3.15 + (2*t^3.319)/g1^12 + g1^8*t^3.787 + g1^18*t^4.022 + g1^72*t^4.086 + t^4.191/g1^26 + 2*g1^28*t^4.256 + (2*t^4.425)/g1^16 + g1^38*t^4.49 + t^4.595/g1^60 + t^4.659/g1^6 + g1^4*t^4.894 + g1^14*t^5.128 + g1^68*t^5.193 + t^5.297/g1^30 + 3*g1^24*t^5.362 + (3*t^5.532)/g1^20 + t^5.766/g1^10 - 2*t^6. + g1^54*t^6.065 + g1^108*t^6.13 + 2*g1^10*t^6.234 + 3*g1^64*t^6.299 + (2*t^6.404)/g1^34 + 5*g1^20*t^6.468 + g1^74*t^6.533 + (5*t^6.638)/g1^24 + g1^30*t^6.703 + t^6.807/g1^68 + t^6.872/g1^14 + g1^40*t^6.937 + t^7.042/g1^58 + g1^50*t^7.171 + g1^104*t^7.236 + 3*g1^6*t^7.341 + 4*g1^60*t^7.405 + (2*t^7.51)/g1^38 + 5*g1^16*t^7.575 + t^7.679/g1^82 + (3*t^7.744)/g1^28 + g1^26*t^7.809 + t^7.914/g1^72 + t^7.978/g1^18 - 2*g1^36*t^8.043 + g1^90*t^8.108 - t^8.148/g1^62 + g1^144*t^8.173 - (2*t^8.213)/g1^8 + 2*g1^46*t^8.277 + 3*g1^100*t^8.342 + 7*g1^56*t^8.512 + g1^110*t^8.576 + (2*t^8.616)/g1^42 + 8*g1^12*t^8.681 + 2*g1^66*t^8.746 + t^8.786/g1^86 + (6*t^8.85)/g1^32 - (g1^6*t^4.341)/y - (g1^42*t^6.384)/y - t^6.553/(g1^2*y) - (g1^8*t^6.787)/y + (g1^18*t^7.022)/y + t^7.191/(g1^26*y) + (g1^28*t^7.256)/y + (g1^4*t^7.894)/y + (2*g1^14*t^8.128)/y + (g1^68*t^8.193)/y + (2*t^8.297)/(g1^30*y) + (3*g1^24*t^8.362)/y - (g1^78*t^8.427)/y + (3*t^8.532)/(g1^20*y) + t^8.766/(g1^10*y) - g1^6*t^4.341*y - g1^42*t^6.384*y - (t^6.553*y)/g1^2 - g1^8*t^6.787*y + g1^18*t^7.022*y + (t^7.191*y)/g1^26 + g1^28*t^7.256*y + g1^4*t^7.894*y + 2*g1^14*t^8.128*y + g1^68*t^8.193*y + (2*t^8.297*y)/g1^30 + 3*g1^24*t^8.362*y - g1^78*t^8.427*y + (3*t^8.532*y)/g1^20 + (t^8.766*y)/g1^10

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
6736	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{9}$	0.6694	0.8242	0.8122	[M:[0.6771, 1.1076, 0.9693, 0.7384, 1.1076, 1.0307, 1.0463, 0.8154, 1.2616], q:[0.7769, 0.546], qb:[0.4847, 0.4077], phi:[0.4462]]	t^2.031 + t^2.446 + t^3.092 + t^3.139 + 2*t^3.323 + 2*t^3.785 + t^4.016 + t^4.062 + t^4.2 + t^4.246 + t^4.431 + t^4.477 + t^4.615 + t^4.892 + t^5.123 + t^5.17 + 2*t^5.354 + t^5.538 + t^5.769 + t^5.816 - 3*t^6. - t^4.339/y - t^4.339*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
3516	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$	0.6734	0.8329	0.8084	[M:[0.6829, 1.1057, 0.9729, 0.7371, 1.1057, 1.0271, 1.0514], q:[0.7764, 0.5407], qb:[0.4864, 0.4079], phi:[0.4471]]	t^2.049 + t^2.211 + t^3.081 + t^3.154 + 2*t^3.317 + t^3.553 + t^3.789 + t^4.024 + t^4.097 + t^4.187 + 2*t^4.26 + 2*t^4.423 + t^4.586 + t^5.13 + t^5.203 + t^5.293 + 3*t^5.366 + 2*t^5.529 - 2*t^6. - t^4.341/y - t^4.341*y	detail