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
48251	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$	0.6708	0.8471	0.7919	[M:[1.1466, 0.7084, 0.8534, 0.8203, 0.7975, 0.7644], q:[0.4101, 0.4433], qb:[0.8814, 0.7364], phi:[0.3822]]	[M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [7, 9], [-2, -2]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$	${}$	-2	t^2.125 + 2*t^2.293 + t^2.393 + t^2.461 + t^2.56 + t^3.44 + t^3.806 + t^3.974 + t^4.251 + 2*t^4.418 + t^4.518 + 4*t^4.586 + 3*t^4.686 + 2*t^4.754 + t^4.785 + 4*t^4.853 + t^4.922 + t^4.953 + t^5.021 + t^5.121 + t^5.565 + t^5.733 + t^5.932 - 2*t^6. + 2*t^6.099 - t^6.168 + t^6.199 + 2*t^6.267 + 2*t^6.367 + t^6.376 + t^6.435 + t^6.534 + 2*t^6.544 + t^6.643 + 4*t^6.712 + 3*t^6.811 + 6*t^6.879 + t^6.91 + 6*t^6.979 + 3*t^7.047 + 3*t^7.078 + 5*t^7.147 + t^7.178 + 2*t^7.215 + 4*t^7.246 + 2*t^7.314 + t^7.345 + t^7.383 + t^7.414 + t^7.482 + t^7.613 + t^7.69 + t^7.78 + t^7.858 + t^7.948 + t^8.026 + t^8.057 - 3*t^8.125 - t^8.194 + 2*t^8.225 - 6*t^8.293 + t^8.324 - t^8.393 - 6*t^8.461 + 3*t^8.492 + t^8.501 - 2*t^8.56 + t^8.591 - t^8.629 + 4*t^8.66 + 2*t^8.669 + 2*t^8.759 + t^8.769 + 3*t^8.828 + 4*t^8.837 + t^8.896 + 2*t^8.927 + 3*t^8.936 + t^8.995 - t^4.147/y - t^6.272/y - (2*t^6.44)/y - t^6.539/y - t^6.607/y + (2*t^7.418)/y + t^7.518/y + (2*t^7.586)/y + (4*t^7.686)/y + (3*t^7.754)/y + (5*t^7.853)/y + t^7.953/y + (2*t^8.021)/y - t^8.397/y - t^8.565/y - t^8.664/y - (2*t^8.733)/y - t^8.832/y - t^8.901/y - t^4.147*y - t^6.272*y - 2*t^6.44*y - t^6.539*y - t^6.607*y + 2*t^7.418*y + t^7.518*y + 2*t^7.586*y + 4*t^7.686*y + 3*t^7.754*y + 5*t^7.853*y + t^7.953*y + 2*t^8.021*y - t^8.397*y - t^8.565*y - t^8.664*y - 2*t^8.733*y - t^8.832*y - t^8.901*y	g1^2*g2^4*t^2.125 + (2*t^2.293)/(g1^2*g2^2) + g1^7*g2^9*t^2.393 + t^2.461/(g1^6*g2^8) + g1^3*g2^3*t^2.56 + t^3.44/(g1^3*g2^3) + g1^11*g2^13*t^3.806 + g1^7*g2^7*t^3.974 + g1^4*g2^8*t^4.251 + 2*g2^2*t^4.418 + g1^9*g2^13*t^4.518 + (4*t^4.586)/(g1^4*g2^4) + 3*g1^5*g2^7*t^4.686 + (2*t^4.754)/(g1^8*g2^10) + g1^14*g2^18*t^4.785 + 4*g1*g2*t^4.853 + t^4.922/(g1^12*g2^16) + g1^10*g2^12*t^4.953 + t^5.021/(g1^3*g2^5) + g1^6*g2^6*t^5.121 + (g2*t^5.565)/g1 + t^5.733/(g1^5*g2^5) + g1^13*g2^17*t^5.932 - 2*t^6. + 2*g1^9*g2^11*t^6.099 - t^6.168/(g1^4*g2^6) + g1^18*g2^22*t^6.199 + 2*g1^5*g2^5*t^6.267 + 2*g1^14*g2^16*t^6.367 + g1^6*g2^12*t^6.376 + (g1*t^6.435)/g2 + g1^10*g2^10*t^6.534 + 2*g1^2*g2^6*t^6.544 + g1^11*g2^17*t^6.643 + (4*t^6.712)/g1^2 + 3*g1^7*g2^11*t^6.811 + (6*t^6.879)/(g1^6*g2^6) + g1^16*g2^22*t^6.91 + 6*g1^3*g2^5*t^6.979 + (3*t^7.047)/(g1^10*g2^12) + 3*g1^12*g2^16*t^7.078 + (5*t^7.147)/(g1*g2) + g1^21*g2^27*t^7.178 + (2*t^7.215)/(g1^14*g2^18) + 4*g1^8*g2^10*t^7.246 + (2*t^7.314)/(g1^5*g2^7) + g1^17*g2^21*t^7.345 + t^7.383/(g1^18*g2^24) + g1^4*g2^4*t^7.414 + t^7.482/(g1^9*g2^13) + g1^22*g2^26*t^7.613 + g1*g2^5*t^7.69 + g1^18*g2^20*t^7.78 + t^7.858/(g1^3*g2) + g1^14*g2^14*t^7.948 + t^8.026/(g1^7*g2^7) + g1^15*g2^21*t^8.057 - 3*g1^2*g2^4*t^8.125 - t^8.194/(g1^11*g2^13) + 2*g1^11*g2^15*t^8.225 - (6*t^8.293)/(g1^2*g2^2) + g1^20*g2^26*t^8.324 - g1^7*g2^9*t^8.393 - (6*t^8.461)/(g1^6*g2^8) + 3*g1^16*g2^20*t^8.492 + g1^8*g2^16*t^8.501 - 2*g1^3*g2^3*t^8.56 + g1^25*g2^31*t^8.591 - t^8.629/(g1^10*g2^14) + 4*g1^12*g2^14*t^8.66 + 2*g1^4*g2^10*t^8.669 + 2*g1^21*g2^25*t^8.759 + g1^13*g2^21*t^8.769 + 3*g1^8*g2^8*t^8.828 + 4*g2^4*t^8.837 + t^8.896/(g1^5*g2^9) + 2*g1^17*g2^19*t^8.927 + 3*g1^9*g2^15*t^8.936 + g1^4*g2^2*t^8.995 - t^4.147/(g1*g2*y) - (g1*g2^3*t^6.272)/y - (2*t^6.44)/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.539)/y - t^6.607/(g1^7*g2^9*y) + (2*g2^2*t^7.418)/y + (g1^9*g2^13*t^7.518)/y + (2*t^7.586)/(g1^4*g2^4*y) + (4*g1^5*g2^7*t^7.686)/y + (3*t^7.754)/(g1^8*g2^10*y) + (5*g1*g2*t^7.853)/y + (g1^10*g2^12*t^7.953)/y + (2*t^8.021)/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.397)/y - (g2*t^8.565)/(g1*y) - (g1^8*g2^12*t^8.664)/y - (2*t^8.733)/(g1^5*g2^5*y) - (g1^4*g2^6*t^8.832)/y - t^8.901/(g1^9*g2^11*y) - (t^4.147*y)/(g1*g2) - g1*g2^3*t^6.272*y - (2*t^6.44*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.539*y - (t^6.607*y)/(g1^7*g2^9) + 2*g2^2*t^7.418*y + g1^9*g2^13*t^7.518*y + (2*t^7.586*y)/(g1^4*g2^4) + 4*g1^5*g2^7*t^7.686*y + (3*t^7.754*y)/(g1^8*g2^10) + 5*g1*g2*t^7.853*y + g1^10*g2^12*t^7.953*y + (2*t^8.021*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.397*y - (g2*t^8.565*y)/g1 - g1^8*g2^12*t^8.664*y - (2*t^8.733*y)/(g1^5*g2^5) - g1^4*g2^6*t^8.832*y - (t^8.901*y)/(g1^9*g2^11)

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
50972	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{6}$	0.6638	0.8403	0.7899	[M:[1.2, 0.7748, 0.8, 0.8252, 0.7748, 0.8], q:[0.4126, 0.3874], qb:[0.8126, 0.7874], phi:[0.4]]	2*t^2.324 + 3*t^2.4 + t^2.476 + t^3.524 + 2*t^3.6 + 3*t^4.649 + 6*t^4.724 + 9*t^4.8 + 3*t^4.876 + t^4.951 + 2*t^5.849 + 5*t^5.924 + 2*t^6. - t^4.2/y - t^4.2*y	detail
50912	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6707	0.8463	0.7925	[M:[1.1449, 0.7174, 0.8551, 0.8092, 0.8092, 0.7633], q:[0.4046, 0.4505], qb:[0.878, 0.7404], phi:[0.3816]]	t^2.152 + 2*t^2.29 + 2*t^2.428 + t^2.565 + t^3.435 + t^3.848 + t^3.985 + t^4.304 + 2*t^4.442 + 5*t^4.58 + 5*t^4.717 + 6*t^4.855 + 2*t^4.993 + t^5.13 + t^5.587 + t^5.725 - t^6. - t^4.145/y - t^4.145*y	detail
54045	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.6917	0.8884	0.7785	[M:[1.1451, 0.7067, 0.8549, 0.8201, 0.7982, 0.7634, 0.672], q:[0.4101, 0.4448], qb:[0.8832, 0.7351], phi:[0.3817]]	t^2.016 + t^2.12 + 2*t^2.29 + t^2.395 + t^2.46 + t^2.565 + t^3.435 + t^3.814 + t^4.032 + t^4.136 + t^4.24 + 2*t^4.306 + 3*t^4.41 + t^4.476 + t^4.515 + 5*t^4.581 + 3*t^4.685 + 2*t^4.751 + t^4.789 + 4*t^4.855 + t^4.921 + t^4.959 + t^5.025 + t^5.129 + t^5.451 + t^5.556 + t^5.726 + t^5.83 + t^5.934 - 2*t^6. - t^4.145/y - t^4.145*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
46787	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$	0.6525	0.8144	0.8012	[M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]]	t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. - t^4.153/y - t^4.153*y	detail