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
764	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$	0.6895	0.8749	0.7881	[M:[0.7005, 0.7005, 0.6863, 0.6958, 0.6911, 1.2995], q:[0.819, 0.8331], qb:[0.4805, 0.4758], phi:[0.3479]]	[M:[[1, -5], [1, -5], [-8, 4], [-2, -2], [-5, 1], [-1, 5]], 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
${}M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$	${}M_{5}q_{2}\tilde{q}_{2}$	-1	t^2.059 + t^2.073 + 2*t^2.087 + t^2.102 + t^2.869 + t^3.884 + t^3.898 + t^3.927 + t^4.118 + t^4.132 + 3*t^4.146 + 3*t^4.161 + 4*t^4.175 + 2*t^4.189 + t^4.203 + t^4.928 + t^4.942 + 3*t^4.956 + t^4.97 + t^5.738 + t^5.943 + 2*t^5.958 + 2*t^5.972 + 2*t^5.986 - t^6. + t^6.177 + t^6.191 + 3*t^6.205 + 4*t^6.22 + 6*t^6.234 + 6*t^6.248 + 7*t^6.262 + 4*t^6.276 + 2*t^6.29 + t^6.305 + t^6.753 + t^6.767 + t^6.796 + t^6.987 + t^7.001 + 3*t^7.015 + 2*t^7.03 + 4*t^7.044 + t^7.058 + t^7.769 + t^7.783 + t^7.797 + t^7.825 - t^7.839 + t^8.002 + 2*t^8.017 + 3*t^8.031 + 4*t^8.045 + t^8.059 - t^8.073 - 4*t^8.087 - 3*t^8.102 - 2*t^8.116 + t^8.236 + t^8.25 + 3*t^8.264 + 4*t^8.279 + 7*t^8.293 + 8*t^8.307 + 11*t^8.321 + 10*t^8.335 + 11*t^8.349 + 7*t^8.364 + 4*t^8.378 + 2*t^8.392 + t^8.406 + t^8.607 + t^8.812 + 2*t^8.826 + 2*t^8.841 + t^8.855 - 3*t^8.869 - t^8.883 - t^8.897 - t^4.044/y - t^6.103/y - t^6.117/y - (2*t^6.131)/y - t^6.145/y + t^7.132/y + (2*t^7.146)/y + (3*t^7.161)/y + (2*t^7.175)/y + (2*t^7.189)/y + t^7.928/y + (2*t^7.942)/y + (4*t^7.956)/y + (2*t^7.97)/y + t^7.985/y - t^8.162/y - t^8.176/y - (3*t^8.19)/y - (3*t^8.204)/y - (4*t^8.218)/y - (2*t^8.233)/y - t^8.247/y + t^8.943/y + (2*t^8.958)/y + (3*t^8.972)/y + (4*t^8.986)/y - t^4.044*y - t^6.103*y - t^6.117*y - 2*t^6.131*y - t^6.145*y + t^7.132*y + 2*t^7.146*y + 3*t^7.161*y + 2*t^7.175*y + 2*t^7.189*y + t^7.928*y + 2*t^7.942*y + 4*t^7.956*y + 2*t^7.97*y + t^7.985*y - t^8.162*y - t^8.176*y - 3*t^8.19*y - 3*t^8.204*y - 4*t^8.218*y - 2*t^8.233*y - t^8.247*y + t^8.943*y + 2*t^8.958*y + 3*t^8.972*y + 4*t^8.986*y	(g2^4*t^2.059)/g1^8 + (g2*t^2.073)/g1^5 + (2*t^2.087)/(g1^2*g2^2) + (g1*t^2.102)/g2^5 + g1^3*g2^3*t^2.869 + (g2^8*t^3.884)/g1^4 + (g2^5*t^3.898)/g1 + (g1^5*t^3.927)/g2 + (g2^8*t^4.118)/g1^16 + (g2^5*t^4.132)/g1^13 + (3*g2^2*t^4.146)/g1^10 + (3*t^4.161)/(g1^7*g2) + (4*t^4.175)/(g1^4*g2^4) + (2*t^4.189)/(g1*g2^7) + (g1^2*t^4.203)/g2^10 + (g2^7*t^4.928)/g1^5 + (g2^4*t^4.942)/g1^2 + 3*g1*g2*t^4.956 + (g1^4*t^4.97)/g2^2 + g1^6*g2^6*t^5.738 + (g2^12*t^5.943)/g1^12 + (2*g2^9*t^5.958)/g1^9 + (2*g2^6*t^5.972)/g1^6 + (2*g2^3*t^5.986)/g1^3 - t^6. + (g2^12*t^6.177)/g1^24 + (g2^9*t^6.191)/g1^21 + (3*g2^6*t^6.205)/g1^18 + (4*g2^3*t^6.22)/g1^15 + (6*t^6.234)/g1^12 + (6*t^6.248)/(g1^9*g2^3) + (7*t^6.262)/(g1^6*g2^6) + (4*t^6.276)/(g1^3*g2^9) + (2*t^6.29)/g2^12 + (g1^3*t^6.305)/g2^15 + (g2^11*t^6.753)/g1 + g1^2*g2^8*t^6.767 + g1^8*g2^2*t^6.796 + (g2^11*t^6.987)/g1^13 + (g2^8*t^7.001)/g1^10 + (3*g2^5*t^7.015)/g1^7 + (2*g2^2*t^7.03)/g1^4 + (4*t^7.044)/(g1*g2) + (g1^2*t^7.058)/g2^4 + (g2^16*t^7.769)/g1^8 + (g2^13*t^7.783)/g1^5 + (g2^10*t^7.797)/g1^2 + g1^4*g2^4*t^7.825 - g1^7*g2*t^7.839 + (g2^16*t^8.002)/g1^20 + (2*g2^13*t^8.017)/g1^17 + (3*g2^10*t^8.031)/g1^14 + (4*g2^7*t^8.045)/g1^11 + (g2^4*t^8.059)/g1^8 - (g2*t^8.073)/g1^5 - (4*t^8.087)/(g1^2*g2^2) - (3*g1*t^8.102)/g2^5 - (2*g1^4*t^8.116)/g2^8 + (g2^16*t^8.236)/g1^32 + (g2^13*t^8.25)/g1^29 + (3*g2^10*t^8.264)/g1^26 + (4*g2^7*t^8.279)/g1^23 + (7*g2^4*t^8.293)/g1^20 + (8*g2*t^8.307)/g1^17 + (11*t^8.321)/(g1^14*g2^2) + (10*t^8.335)/(g1^11*g2^5) + (11*t^8.349)/(g1^8*g2^8) + (7*t^8.364)/(g1^5*g2^11) + (4*t^8.378)/(g1^2*g2^14) + (2*g1*t^8.392)/g2^17 + (g1^4*t^8.406)/g2^20 + g1^9*g2^9*t^8.607 + (g2^15*t^8.812)/g1^9 + (2*g2^12*t^8.826)/g1^6 + (2*g2^9*t^8.841)/g1^3 + g2^6*t^8.855 - 3*g1^3*g2^3*t^8.869 - g1^6*t^8.883 - (g1^9*t^8.897)/g2^3 - t^4.044/(g1*g2*y) - (g2^3*t^6.103)/(g1^9*y) - t^6.117/(g1^6*y) - (2*t^6.131)/(g1^3*g2^3*y) - t^6.145/(g2^6*y) + (g2^5*t^7.132)/(g1^13*y) + (2*g2^2*t^7.146)/(g1^10*y) + (3*t^7.161)/(g1^7*g2*y) + (2*t^7.175)/(g1^4*g2^4*y) + (2*t^7.189)/(g1*g2^7*y) + (g2^7*t^7.928)/(g1^5*y) + (2*g2^4*t^7.942)/(g1^2*y) + (4*g1*g2*t^7.956)/y + (2*g1^4*t^7.97)/(g2^2*y) + (g1^7*t^7.985)/(g2^5*y) - (g2^7*t^8.162)/(g1^17*y) - (g2^4*t^8.176)/(g1^14*y) - (3*g2*t^8.19)/(g1^11*y) - (3*t^8.204)/(g1^8*g2^2*y) - (4*t^8.218)/(g1^5*g2^5*y) - (2*t^8.233)/(g1^2*g2^8*y) - (g1*t^8.247)/(g2^11*y) + (g2^12*t^8.943)/(g1^12*y) + (2*g2^9*t^8.958)/(g1^9*y) + (3*g2^6*t^8.972)/(g1^6*y) + (4*g2^3*t^8.986)/(g1^3*y) - (t^4.044*y)/(g1*g2) - (g2^3*t^6.103*y)/g1^9 - (t^6.117*y)/g1^6 - (2*t^6.131*y)/(g1^3*g2^3) - (t^6.145*y)/g2^6 + (g2^5*t^7.132*y)/g1^13 + (2*g2^2*t^7.146*y)/g1^10 + (3*t^7.161*y)/(g1^7*g2) + (2*t^7.175*y)/(g1^4*g2^4) + (2*t^7.189*y)/(g1*g2^7) + (g2^7*t^7.928*y)/g1^5 + (2*g2^4*t^7.942*y)/g1^2 + 4*g1*g2*t^7.956*y + (2*g1^4*t^7.97*y)/g2^2 + (g1^7*t^7.985*y)/g2^5 - (g2^7*t^8.162*y)/g1^17 - (g2^4*t^8.176*y)/g1^14 - (3*g2*t^8.19*y)/g1^11 - (3*t^8.204*y)/(g1^8*g2^2) - (4*t^8.218*y)/(g1^5*g2^5) - (2*t^8.233*y)/(g1^2*g2^8) - (g1*t^8.247*y)/g2^11 + (g2^12*t^8.943*y)/g1^12 + (2*g2^9*t^8.958*y)/g1^9 + (3*g2^6*t^8.972*y)/g1^6 + (4*g2^3*t^8.986*y)/g1^3

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
1246	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{6}M_{7}$	0.7101	0.9146	0.7764	[M:[0.6941, 0.6941, 0.6883, 0.6922, 0.6903, 1.3059, 0.6941], q:[0.8241, 0.8298], qb:[0.4818, 0.4799], phi:[0.3461]]	t^2.065 + t^2.071 + 2*t^2.077 + 2*t^2.082 + t^2.885 + t^3.912 + t^3.929 + t^4.13 + t^4.136 + 3*t^4.142 + 4*t^4.147 + 5*t^4.153 + 4*t^4.159 + 3*t^4.165 + t^4.95 + t^4.956 + 3*t^4.962 + 2*t^4.967 + t^5.77 + t^5.977 + t^5.983 + t^5.988 + t^5.994 - 2*t^6. - t^4.038/y - t^4.038*y	detail
1996	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$	0.7102	0.9155	0.7758	[M:[0.6999, 0.6999, 0.6815, 0.6938, 0.6877, 1.3001, 0.6877], q:[0.8174, 0.8357], qb:[0.4827, 0.4766], phi:[0.3469]]	t^2.045 + 2*t^2.063 + 2*t^2.081 + t^2.1 + t^2.878 + t^3.882 + t^3.9 + t^4.089 + 2*t^4.108 + 5*t^4.126 + 5*t^4.144 + 5*t^4.163 + 2*t^4.181 + t^4.199 + t^4.923 + 2*t^4.941 + 3*t^4.959 + t^4.978 + t^5.756 + t^5.927 + 3*t^5.945 + 3*t^5.963 + t^5.982 - 2*t^6. - t^4.041/y - t^4.041*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
476	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$	0.6898	0.8768	0.7867	[M:[0.6887, 0.72, 0.6887, 0.6991, 0.6783, 1.28], q:[0.8252, 0.8252], qb:[0.4861, 0.4652], phi:[0.3496]]	t^2.035 + 2*t^2.066 + 2*t^2.097 + t^2.854 + t^3.84 + 2*t^3.871 + t^4.07 + 2*t^4.101 + 5*t^4.132 + 4*t^4.164 + 3*t^4.195 + t^4.889 + 2*t^4.92 + 3*t^4.951 + t^5.708 + t^5.875 + 4*t^5.906 + 5*t^5.938 + 2*t^5.969 - 3*t^6. - t^4.049/y - t^4.049*y	detail