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
1239	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$	0.6689	0.8347	0.8013	[M:[0.6937, 1.3015, 0.7009, 0.7009, 0.6961, 1.2991, 0.7009], q:[0.829, 0.8218], qb:[0.4773, 0.4749], phi:[0.3493]]	[M:[[-8, 4], [2, 2], [1, -5], [1, -5], [-5, 1], [-1, 5], [1, -5]], q:[[5, -4], [-4, 5]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{5}q_{1}\tilde{q}_{2}$	-2	t^2.081 + t^2.088 + 2*t^2.103 + t^2.857 + t^3.89 + 2*t^3.904 + t^3.912 + t^4.162 + t^4.169 + t^4.177 + 2*t^4.184 + 2*t^4.191 + 3*t^4.205 + t^4.938 + t^4.945 + t^4.952 + 2*t^4.959 + t^5.713 + t^5.971 + t^5.978 + t^5.986 + 3*t^5.993 - 2*t^6. + 2*t^6.007 + t^6.014 + t^6.243 + t^6.251 + t^6.258 + 3*t^6.265 + 2*t^6.272 + 2*t^6.279 + 3*t^6.287 + 3*t^6.294 + 4*t^6.308 + t^6.747 + 2*t^6.761 + t^6.768 + t^7.019 + t^7.026 + t^7.033 + t^7.041 + 2*t^7.062 + t^7.78 + 2*t^7.795 + t^7.809 + 2*t^7.816 + t^8.052 + t^8.06 + 2*t^8.067 + 2*t^8.074 - 2*t^8.088 + 3*t^8.096 - 5*t^8.103 + 2*t^8.11 + t^8.117 + t^8.324 + t^8.332 + t^8.339 + 3*t^8.346 + 3*t^8.353 + 2*t^8.36 + 5*t^8.368 + 3*t^8.375 + 3*t^8.382 + 4*t^8.389 + 4*t^8.396 + 5*t^8.411 + t^8.57 + t^8.828 + t^8.835 + t^8.842 + t^8.85 - 2*t^8.857 + t^8.864 - t^4.048/y - t^6.129/y - t^6.136/y - (2*t^6.15)/y + t^7.169/y + (2*t^7.184)/y + (2*t^7.191)/y + t^7.205/y + t^7.938/y + (3*t^7.945)/y + (3*t^7.959)/y + t^7.967/y - t^8.21/y - t^8.217/y - t^8.224/y - (2*t^8.232)/y - (2*t^8.239)/y - (3*t^8.253)/y + t^8.971/y + t^8.978/y + (2*t^8.986)/y + (5*t^8.993)/y - t^4.048*y - t^6.129*y - t^6.136*y - 2*t^6.15*y + t^7.169*y + 2*t^7.184*y + 2*t^7.191*y + t^7.205*y + t^7.938*y + 3*t^7.945*y + 3*t^7.959*y + t^7.967*y - t^8.21*y - t^8.217*y - t^8.224*y - 2*t^8.232*y - 2*t^8.239*y - 3*t^8.253*y + t^8.971*y + t^8.978*y + 2*t^8.986*y + 5*t^8.993*y	(g2^4*t^2.081)/g1^8 + (g2*t^2.088)/g1^5 + (2*g1*t^2.103)/g2^5 + g1^3*g2^3*t^2.857 + (g2^8*t^3.89)/g1^4 + 2*g1^2*g2^2*t^3.904 + (g1^5*t^3.912)/g2 + (g2^8*t^4.162)/g1^16 + (g2^5*t^4.169)/g1^13 + (g2^2*t^4.177)/g1^10 + (2*t^4.184)/(g1^7*g2) + (2*t^4.191)/(g1^4*g2^4) + (3*g1^2*t^4.205)/g2^10 + (g2^7*t^4.938)/g1^5 + (g2^4*t^4.945)/g1^2 + g1*g2*t^4.952 + (2*g1^4*t^4.959)/g2^2 + g1^6*g2^6*t^5.713 + (g2^12*t^5.971)/g1^12 + (g2^9*t^5.978)/g1^9 + (g2^6*t^5.986)/g1^6 + (3*g2^3*t^5.993)/g1^3 - 2*t^6. + (2*g1^3*t^6.007)/g2^3 + (g1^6*t^6.014)/g2^6 + (g2^12*t^6.243)/g1^24 + (g2^9*t^6.251)/g1^21 + (g2^6*t^6.258)/g1^18 + (3*g2^3*t^6.265)/g1^15 + (2*t^6.272)/g1^12 + (2*t^6.279)/(g1^9*g2^3) + (3*t^6.287)/(g1^6*g2^6) + (3*t^6.294)/(g1^3*g2^9) + (4*g1^3*t^6.308)/g2^15 + (g2^11*t^6.747)/g1 + 2*g1^5*g2^5*t^6.761 + g1^8*g2^2*t^6.768 + (g2^11*t^7.019)/g1^13 + (g2^8*t^7.026)/g1^10 + (g2^5*t^7.033)/g1^7 + (g2^2*t^7.041)/g1^4 + (2*g1^5*t^7.062)/g2^7 + (g2^16*t^7.78)/g1^8 + (2*g2^10*t^7.795)/g1^2 + g1^4*g2^4*t^7.809 + 2*g1^7*g2*t^7.816 + (g2^16*t^8.052)/g1^20 + (g2^13*t^8.06)/g1^17 + (2*g2^10*t^8.067)/g1^14 + (2*g2^7*t^8.074)/g1^11 - (2*g2*t^8.088)/g1^5 + (3*t^8.096)/(g1^2*g2^2) - (5*g1*t^8.103)/g2^5 + (2*g1^4*t^8.11)/g2^8 + (g1^7*t^8.117)/g2^11 + (g2^16*t^8.324)/g1^32 + (g2^13*t^8.332)/g1^29 + (g2^10*t^8.339)/g1^26 + (3*g2^7*t^8.346)/g1^23 + (3*g2^4*t^8.353)/g1^20 + (2*g2*t^8.36)/g1^17 + (5*t^8.368)/(g1^14*g2^2) + (3*t^8.375)/(g1^11*g2^5) + (3*t^8.382)/(g1^8*g2^8) + (4*t^8.389)/(g1^5*g2^11) + (4*t^8.396)/(g1^2*g2^14) + (5*g1^4*t^8.411)/g2^20 + g1^9*g2^9*t^8.57 + (g2^15*t^8.828)/g1^9 + (g2^12*t^8.835)/g1^6 + (g2^9*t^8.842)/g1^3 + g2^6*t^8.85 - 2*g1^3*g2^3*t^8.857 + g1^6*t^8.864 - t^4.048/(g1*g2*y) - (g2^3*t^6.129)/(g1^9*y) - t^6.136/(g1^6*y) - (2*t^6.15)/(g2^6*y) + (g2^5*t^7.169)/(g1^13*y) + (2*t^7.184)/(g1^7*g2*y) + (2*t^7.191)/(g1^4*g2^4*y) + (g1^2*t^7.205)/(g2^10*y) + (g2^7*t^7.938)/(g1^5*y) + (3*g2^4*t^7.945)/(g1^2*y) + (3*g1^4*t^7.959)/(g2^2*y) + (g1^7*t^7.967)/(g2^5*y) - (g2^7*t^8.21)/(g1^17*y) - (g2^4*t^8.217)/(g1^14*y) - (g2*t^8.224)/(g1^11*y) - (2*t^8.232)/(g1^8*g2^2*y) - (2*t^8.239)/(g1^5*g2^5*y) - (3*g1*t^8.253)/(g2^11*y) + (g2^12*t^8.971)/(g1^12*y) + (g2^9*t^8.978)/(g1^9*y) + (2*g2^6*t^8.986)/(g1^6*y) + (5*g2^3*t^8.993)/(g1^3*y) - (t^4.048*y)/(g1*g2) - (g2^3*t^6.129*y)/g1^9 - (t^6.136*y)/g1^6 - (2*t^6.15*y)/g2^6 + (g2^5*t^7.169*y)/g1^13 + (2*t^7.184*y)/(g1^7*g2) + (2*t^7.191*y)/(g1^4*g2^4) + (g1^2*t^7.205*y)/g2^10 + (g2^7*t^7.938*y)/g1^5 + (3*g2^4*t^7.945*y)/g1^2 + (3*g1^4*t^7.959*y)/g2^2 + (g1^7*t^7.967*y)/g2^5 - (g2^7*t^8.21*y)/g1^17 - (g2^4*t^8.217*y)/g1^14 - (g2*t^8.224*y)/g1^11 - (2*t^8.232*y)/(g1^8*g2^2) - (2*t^8.239*y)/(g1^5*g2^5) - (3*g1*t^8.253*y)/g2^11 + (g2^12*t^8.971*y)/g1^12 + (g2^9*t^8.978*y)/g1^9 + (2*g2^6*t^8.986*y)/g1^6 + (5*g2^3*t^8.993*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
2307	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6895	0.8748	0.7882	[M:[0.6875, 1.3043, 0.6997, 0.6997, 0.6916, 1.3003, 0.6997, 0.6916], q:[0.8322, 0.82], qb:[0.4803, 0.4762], phi:[0.3478]]	t^2.063 + 2*t^2.075 + 2*t^2.099 + t^2.87 + t^3.889 + 2*t^3.913 + t^4.125 + 2*t^4.137 + 3*t^4.149 + 2*t^4.162 + 4*t^4.174 + 3*t^4.198 + t^4.932 + 2*t^4.944 + t^4.957 + 2*t^4.969 + t^5.739 + t^5.951 + 2*t^5.963 + t^5.976 + 4*t^5.988 - 3*t^6. - t^4.043/y - t^4.043*y	detail
2306	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{2}$	0.6895	0.8744	0.7885	[M:[0.6983, 1.305, 0.6933, 0.6933, 0.6966, 1.3067, 0.6933, 0.6916], q:[0.8238, 0.8287], qb:[0.4779, 0.4796], phi:[0.3475]]	t^2.075 + 2*t^2.08 + t^2.09 + t^2.095 + t^2.873 + t^3.91 + 2*t^3.915 + t^4.15 + 2*t^4.155 + 3*t^4.16 + t^4.165 + 3*t^4.17 + 2*t^4.175 + t^4.18 + t^4.185 + t^4.19 + t^4.948 + 2*t^4.953 + t^4.958 + t^4.963 + t^4.968 + t^5.745 + t^5.985 + 3*t^5.99 + 2*t^5.995 - 2*t^6. - t^4.042/y - t^4.042*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
754	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$	0.6485	0.7962	0.8144	[M:[0.6921, 1.2959, 0.7101, 0.7101, 0.6981, 1.2899], q:[0.833, 0.8149], qb:[0.4749, 0.4689], phi:[0.3521]]	t^2.076 + t^2.094 + t^2.13 + t^2.831 + t^3.851 + t^3.87 + 2*t^3.888 + t^3.906 + t^4.152 + t^4.17 + t^4.189 + t^4.207 + t^4.225 + t^4.261 + t^4.908 + t^4.926 + t^4.944 + t^4.962 + t^5.663 + t^5.928 + 2*t^5.946 + 2*t^5.964 + 2*t^5.982 - t^6. - t^4.056/y - t^4.056*y	detail