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
1727	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.6895	0.8745	0.7884	[M:[0.6921, 0.6921, 0.6981, 0.6951], q:[0.8308, 0.8217], qb:[0.4772, 0.4802], phi:[0.3476]]	[M:[[1, -5], [1, -5], [-5, 1], [-2, -2]], q:[[-4, 5], [5, -4]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$	${}$	-2	2*t^2.076 + 2*t^2.085 + t^2.094 + t^2.872 + t^3.897 + t^3.906 + t^3.933 + 3*t^4.152 + 4*t^4.162 + 5*t^4.171 + 2*t^4.18 + t^4.189 + 2*t^4.948 + 3*t^4.957 + t^4.966 + t^5.744 + 2*t^5.973 + 3*t^5.982 + t^5.991 - 2*t^6. + t^6.018 + t^6.027 + 4*t^6.229 + 6*t^6.238 + 9*t^6.247 + 8*t^6.256 + 5*t^6.265 + 2*t^6.274 + t^6.283 + t^6.769 + t^6.778 + t^6.805 + 2*t^7.025 + 4*t^7.034 + 5*t^7.043 + t^7.052 + t^7.793 + t^7.802 + t^7.829 - t^7.848 + t^7.866 + 3*t^8.049 + 5*t^8.058 + 3*t^8.067 - 4*t^8.076 - 5*t^8.085 - 4*t^8.094 + t^8.103 + t^8.113 + t^8.122 + 5*t^8.305 + 8*t^8.314 + 13*t^8.323 + 14*t^8.332 + 14*t^8.341 + 8*t^8.35 + 5*t^8.359 + 2*t^8.368 + t^8.378 + t^8.616 + 2*t^8.845 + 3*t^8.854 - 4*t^8.872 - 2*t^8.881 + t^8.89 + t^8.899 - t^4.043/y - (2*t^6.119)/y - (2*t^6.128)/y - t^6.137/y + t^7.152/y + (4*t^7.162)/y + (3*t^7.171)/y + (2*t^7.18)/y + (3*t^7.948)/y + (4*t^7.957)/y + (3*t^7.966)/y - (3*t^8.195)/y - (4*t^8.204)/y - (5*t^8.213)/y - (2*t^8.222)/y - t^8.231/y + (2*t^8.973)/y + (4*t^8.982)/y + (3*t^8.991)/y - t^4.043*y - 2*t^6.119*y - 2*t^6.128*y - t^6.137*y + t^7.152*y + 4*t^7.162*y + 3*t^7.171*y + 2*t^7.18*y + 3*t^7.948*y + 4*t^7.957*y + 3*t^7.966*y - 3*t^8.195*y - 4*t^8.204*y - 5*t^8.213*y - 2*t^8.222*y - t^8.231*y + 2*t^8.973*y + 4*t^8.982*y + 3*t^8.991*y	(2*g1*t^2.076)/g2^5 + (2*t^2.085)/(g1^2*g2^2) + (g2*t^2.094)/g1^5 + g1^3*g2^3*t^2.872 + (g1^8*t^3.897)/g2^4 + (g1^5*t^3.906)/g2 + (g2^8*t^3.933)/g1^4 + (3*g1^2*t^4.152)/g2^10 + (4*t^4.162)/(g1*g2^7) + (5*t^4.171)/(g1^4*g2^4) + (2*t^4.18)/(g1^7*g2) + (g2^2*t^4.189)/g1^10 + (2*g1^4*t^4.948)/g2^2 + 3*g1*g2*t^4.957 + (g2^4*t^4.966)/g1^2 + g1^6*g2^6*t^5.744 + (2*g1^9*t^5.973)/g2^9 + (3*g1^6*t^5.982)/g2^6 + (g1^3*t^5.991)/g2^3 - 2*t^6. + (g2^6*t^6.018)/g1^6 + (g2^9*t^6.027)/g1^9 + (4*g1^3*t^6.229)/g2^15 + (6*t^6.238)/g2^12 + (9*t^6.247)/(g1^3*g2^9) + (8*t^6.256)/(g1^6*g2^6) + (5*t^6.265)/(g1^9*g2^3) + (2*t^6.274)/g1^12 + (g2^3*t^6.283)/g1^15 + (g1^11*t^6.769)/g2 + g1^8*g2^2*t^6.778 + (g2^11*t^6.805)/g1 + (2*g1^5*t^7.025)/g2^7 + (4*g1^2*t^7.034)/g2^4 + (5*t^7.043)/(g1*g2) + (g2^2*t^7.052)/g1^4 + (g1^16*t^7.793)/g2^8 + (g1^13*t^7.802)/g2^5 + g1^4*g2^4*t^7.829 - (g2^10*t^7.848)/g1^2 + (g2^16*t^7.866)/g1^8 + (3*g1^10*t^8.049)/g2^14 + (5*g1^7*t^8.058)/g2^11 + (3*g1^4*t^8.067)/g2^8 - (4*g1*t^8.076)/g2^5 - (5*t^8.085)/(g1^2*g2^2) - (4*g2*t^8.094)/g1^5 + (g2^4*t^8.103)/g1^8 + (g2^7*t^8.113)/g1^11 + (g2^10*t^8.122)/g1^14 + (5*g1^4*t^8.305)/g2^20 + (8*g1*t^8.314)/g2^17 + (13*t^8.323)/(g1^2*g2^14) + (14*t^8.332)/(g1^5*g2^11) + (14*t^8.341)/(g1^8*g2^8) + (8*t^8.35)/(g1^11*g2^5) + (5*t^8.359)/(g1^14*g2^2) + (2*g2*t^8.368)/g1^17 + (g2^4*t^8.378)/g1^20 + g1^9*g2^9*t^8.616 + (2*g1^12*t^8.845)/g2^6 + (3*g1^9*t^8.854)/g2^3 - 4*g1^3*g2^3*t^8.872 - 2*g2^6*t^8.881 + (g2^9*t^8.89)/g1^3 + (g2^12*t^8.899)/g1^6 - t^4.043/(g1*g2*y) - (2*t^6.119)/(g2^6*y) - (2*t^6.128)/(g1^3*g2^3*y) - t^6.137/(g1^6*y) + (g1^2*t^7.152)/(g2^10*y) + (4*t^7.162)/(g1*g2^7*y) + (3*t^7.171)/(g1^4*g2^4*y) + (2*t^7.18)/(g1^7*g2*y) + (3*g1^4*t^7.948)/(g2^2*y) + (4*g1*g2*t^7.957)/y + (3*g2^4*t^7.966)/(g1^2*y) - (3*g1*t^8.195)/(g2^11*y) - (4*t^8.204)/(g1^2*g2^8*y) - (5*t^8.213)/(g1^5*g2^5*y) - (2*t^8.222)/(g1^8*g2^2*y) - (g2*t^8.231)/(g1^11*y) + (2*g1^9*t^8.973)/(g2^9*y) + (4*g1^6*t^8.982)/(g2^6*y) + (3*g1^3*t^8.991)/(g2^3*y) - (t^4.043*y)/(g1*g2) - (2*t^6.119*y)/g2^6 - (2*t^6.128*y)/(g1^3*g2^3) - (t^6.137*y)/g1^6 + (g1^2*t^7.152*y)/g2^10 + (4*t^7.162*y)/(g1*g2^7) + (3*t^7.171*y)/(g1^4*g2^4) + (2*t^7.18*y)/(g1^7*g2) + (3*g1^4*t^7.948*y)/g2^2 + 4*g1*g2*t^7.957*y + (3*g2^4*t^7.966*y)/g1^2 - (3*g1*t^8.195*y)/g2^11 - (4*t^8.204*y)/(g1^2*g2^8) - (5*t^8.213*y)/(g1^5*g2^5) - (2*t^8.222*y)/(g1^8*g2^2) - (g2*t^8.231*y)/g1^11 + (2*g1^9*t^8.973*y)/g2^9 + (4*g1^6*t^8.982*y)/g2^6 + (3*g1^3*t^8.991*y)/g2^3

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

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
200	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6895	0.8749	0.7881	[M:[0.6857, 0.6986, 0.6931, 0.6959], q:[0.8349, 0.8172], qb:[0.4795, 0.4767], phi:[0.3479]]	t^2.057 + t^2.079 + 2*t^2.088 + t^2.096 + t^2.869 + t^3.882 + t^3.89 + t^3.935 + t^4.114 + t^4.136 + 2*t^4.145 + t^4.153 + t^4.159 + 2*t^4.167 + 4*t^4.175 + 2*t^4.183 + t^4.191 + t^4.926 + t^4.948 + 3*t^4.956 + t^4.964 + t^5.737 + t^5.939 + t^5.947 + t^5.961 + 2*t^5.969 + 2*t^5.978 + t^5.986 - 3*t^6. - t^4.044/y - t^4.044*y	detail