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
1824	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.6574	0.8268	0.7952	[M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]]	[M:[[2, 10], [-6, -6], [-7, 7], [3, -3], [-3, 3]], q:[[1, -7], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	-1	t^2.015 + t^2.205 + t^2.29 + t^2.375 + t^2.565 + t^3.435 + t^3.52 + t^3.71 + t^3.9 + t^4.031 + t^4.221 + t^4.305 + t^4.39 + t^4.411 + t^4.495 + 3*t^4.58 + t^4.665 + t^4.75 + t^4.77 + 2*t^4.855 + t^4.94 + t^5.13 + t^5.451 + t^5.535 + t^5.64 + 2*t^5.725 + t^5.81 + t^5.895 + t^5.915 - t^6. + t^6.046 + t^6.085 + t^6.105 + t^6.236 + t^6.275 + t^6.321 + t^6.406 + t^6.426 + t^6.465 + t^6.511 + 3*t^6.596 + t^6.616 + t^6.68 + t^6.701 + t^6.765 + 3*t^6.786 + 4*t^6.87 + 3*t^6.955 + t^6.975 + 2*t^7.04 + t^7.06 + t^7.125 + 2*t^7.145 + t^7.23 + t^7.315 + t^7.466 + t^7.551 + t^7.656 + 2*t^7.741 + t^7.8 + t^7.825 + t^7.846 + t^7.91 + 2*t^7.931 + t^8.061 + 2*t^8.1 + t^8.121 + t^8.185 - 2*t^8.205 + t^8.251 + t^8.27 + t^8.31 + t^8.336 - 2*t^8.375 + t^8.421 + t^8.441 + t^8.46 + t^8.526 - 3*t^8.565 + 3*t^8.611 + t^8.631 + t^8.67 + t^8.696 + t^8.716 + t^8.781 + 3*t^8.801 + t^8.821 + 4*t^8.886 + t^8.906 + 3*t^8.97 + 3*t^8.991 - t^4.145/y - t^6.16/y - t^6.35/y - t^6.435/y - t^6.52/y + t^7.221/y + t^7.305/y + t^7.39/y + t^7.495/y + (2*t^7.58)/y + t^7.665/y + (2*t^7.77)/y + (2*t^7.855)/y + (2*t^7.94)/y + t^8.13/y - t^8.176/y - t^8.366/y - t^8.556/y + t^8.725/y + t^8.81/y + (2*t^8.915)/y - t^4.145*y - t^6.16*y - t^6.35*y - t^6.435*y - t^6.52*y + t^7.221*y + t^7.305*y + t^7.39*y + t^7.495*y + 2*t^7.58*y + t^7.665*y + 2*t^7.77*y + 2*t^7.855*y + 2*t^7.94*y + t^8.13*y - t^8.176*y - t^8.366*y - t^8.556*y + t^8.725*y + t^8.81*y + 2*t^8.915*y	(g2^7*t^2.015)/g1^7 + g1^2*g2^10*t^2.205 + (g2^2*t^2.29)/g1^2 + t^2.375/(g1^6*g2^6) + (g1^3*t^2.565)/g2^3 + (g2^3*t^3.435)/g1^3 + t^3.52/(g1^7*g2^5) + (g1^2*t^3.71)/g2^2 + g1^11*g2*t^3.9 + (g2^14*t^4.031)/g1^14 + (g2^17*t^4.221)/g1^5 + (g2^9*t^4.305)/g1^9 + (g2*t^4.39)/g1^13 + g1^4*g2^20*t^4.411 + g2^12*t^4.495 + (3*g2^4*t^4.58)/g1^4 + t^4.665/(g1^8*g2^4) + t^4.75/(g1^12*g2^12) + g1^5*g2^7*t^4.77 + (2*g1*t^4.855)/g2 + t^4.94/(g1^3*g2^9) + (g1^6*t^5.13)/g2^6 + (g2^10*t^5.451)/g1^10 + (g2^2*t^5.535)/g1^14 + (g2^13*t^5.64)/g1 + (2*g2^5*t^5.725)/g1^5 + t^5.81/(g1^9*g2^3) + t^5.895/(g1^13*g2^11) + g1^4*g2^8*t^5.915 - t^6. + (g2^21*t^6.046)/g1^21 + t^6.085/(g1^4*g2^8) + g1^13*g2^11*t^6.105 + (g2^24*t^6.236)/g1^12 + (g1^5*t^6.275)/g2^5 + (g2^16*t^6.321)/g1^16 + (g2^8*t^6.406)/g1^20 + (g2^27*t^6.426)/g1^3 + (g1^14*t^6.465)/g2^2 + (g2^19*t^6.511)/g1^7 + (3*g2^11*t^6.596)/g1^11 + g1^6*g2^30*t^6.616 + (g2^3*t^6.68)/g1^15 + g1^2*g2^22*t^6.701 + t^6.765/(g1^19*g2^5) + (3*g2^14*t^6.786)/g1^2 + (4*g2^6*t^6.87)/g1^6 + (3*t^6.955)/(g1^10*g2^2) + g1^7*g2^17*t^6.975 + (2*t^7.04)/(g1^14*g2^10) + g1^3*g2^9*t^7.06 + t^7.125/(g1^18*g2^18) + (2*g2*t^7.145)/g1 + t^7.23/(g1^5*g2^7) + t^7.315/(g1^9*g2^15) + (g2^17*t^7.466)/g1^17 + (g2^9*t^7.551)/g1^21 + (g2^20*t^7.656)/g1^8 + (2*g2^12*t^7.741)/g1^12 + g1^22*g2^2*t^7.8 + (g2^4*t^7.825)/g1^16 + g1*g2^23*t^7.846 + t^7.91/(g1^20*g2^4) + (2*g2^15*t^7.931)/g1^3 + (g2^28*t^8.061)/g1^28 + (2*t^8.1)/(g1^11*g2) + g1^6*g2^18*t^8.121 + t^8.185/(g1^15*g2^9) - 2*g1^2*g2^10*t^8.205 + (g2^31*t^8.251)/g1^19 + t^8.27/(g1^19*g2^17) + g1^15*g2^21*t^8.31 + (g2^23*t^8.336)/g1^23 - (2*t^8.375)/(g1^6*g2^6) + (g2^15*t^8.421)/g1^27 + (g2^34*t^8.441)/g1^10 + t^8.46/(g1^10*g2^14) + (g2^26*t^8.526)/g1^14 - (3*g1^3*t^8.565)/g2^3 + (3*g2^18*t^8.611)/g1^18 + (g2^37*t^8.631)/g1 + g1^16*g2^8*t^8.67 + (g2^10*t^8.696)/g1^22 + (g2^29*t^8.716)/g1^5 + (g2^2*t^8.781)/g1^26 + (3*g2^21*t^8.801)/g1^9 + g1^8*g2^40*t^8.821 + (4*g2^13*t^8.886)/g1^13 + g1^4*g2^32*t^8.906 + (3*g2^5*t^8.97)/g1^17 + 3*g2^24*t^8.991 - (g2*t^4.145)/(g1*y) - (g2^8*t^6.16)/(g1^8*y) - (g1*g2^11*t^6.35)/y - (g2^3*t^6.435)/(g1^3*y) - t^6.52/(g1^7*g2^5*y) + (g2^17*t^7.221)/(g1^5*y) + (g2^9*t^7.305)/(g1^9*y) + (g2*t^7.39)/(g1^13*y) + (g2^12*t^7.495)/y + (2*g2^4*t^7.58)/(g1^4*y) + t^7.665/(g1^8*g2^4*y) + (2*g1^5*g2^7*t^7.77)/y + (2*g1*t^7.855)/(g2*y) + (2*t^7.94)/(g1^3*g2^9*y) + (g1^6*t^8.13)/(g2^6*y) - (g2^15*t^8.176)/(g1^15*y) - (g2^18*t^8.366)/(g1^6*y) - (g1^3*g2^21*t^8.556)/y + (g2^5*t^8.725)/(g1^5*y) + t^8.81/(g1^9*g2^3*y) + (2*g1^4*g2^8*t^8.915)/y - (g2*t^4.145*y)/g1 - (g2^8*t^6.16*y)/g1^8 - g1*g2^11*t^6.35*y - (g2^3*t^6.435*y)/g1^3 - (t^6.52*y)/(g1^7*g2^5) + (g2^17*t^7.221*y)/g1^5 + (g2^9*t^7.305*y)/g1^9 + (g2*t^7.39*y)/g1^13 + g2^12*t^7.495*y + (2*g2^4*t^7.58*y)/g1^4 + (t^7.665*y)/(g1^8*g2^4) + 2*g1^5*g2^7*t^7.77*y + (2*g1*t^7.855*y)/g2 + (2*t^7.94*y)/(g1^3*g2^9) + (g1^6*t^8.13*y)/g2^6 - (g2^15*t^8.176*y)/g1^15 - (g2^18*t^8.366*y)/g1^6 - g1^3*g2^21*t^8.556*y + (g2^5*t^8.725*y)/g1^5 + (t^8.81*y)/(g1^9*g2^3) + 2*g1^4*g2^8*t^8.915*y

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
2840	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.6544	0.8219	0.7962	[M:[0.7069, 0.8399, 0.7069, 0.8399, 1.1601], q:[0.8732, 0.42], qb:[0.42, 0.7401], phi:[0.3867]]	2*t^2.121 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.241 + 2*t^4.441 + 5*t^4.64 + 3*t^4.84 + 3*t^5.039 + 2*t^5.601 + 5*t^5.8 - t^4.16/y - t^4.16*y	detail
2841	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6571	0.8263	0.7953	[M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]]	t^2.027 + t^2.16 + t^2.293 + t^2.427 + t^2.56 + t^3.44 + t^3.573 + t^3.707 + t^3.84 + t^4.054 + t^4.188 + 2*t^4.321 + 2*t^4.454 + 3*t^4.587 + 2*t^4.72 + 3*t^4.853 + t^4.986 + t^5.12 + t^5.467 + 2*t^5.601 + 2*t^5.734 + 2*t^5.867 + t^6. - t^4.147/y - t^4.147*y	detail
2842	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$	0.6706	0.8484	0.7904	[M:[0.7464, 0.7935, 0.6948, 0.8451, 1.1549, 0.8451], q:[0.8569, 0.3967], qb:[0.4484, 0.7582], phi:[0.385]]	t^2.084 + t^2.239 + t^2.31 + t^2.38 + 2*t^2.535 + t^3.535 + t^3.69 + t^3.845 + t^4.169 + t^4.324 + t^4.394 + t^4.465 + t^4.478 + t^4.549 + 4*t^4.62 + t^4.69 + t^4.761 + 2*t^4.775 + 3*t^4.845 + 2*t^4.916 + 3*t^5.071 + t^5.62 + t^5.775 + t^5.916 + t^5.929 - 2*t^6. - t^4.155/y - t^4.155*y	detail
2843	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$	0.6572	0.8255	0.7962	[X:[1.3361], M:[0.7369, 0.7854, 0.6639, 0.8583, 1.1417, 0.6882], q:[0.8704, 0.3927], qb:[0.4656, 0.749], phi:[0.3806]]	t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*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
371	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$	0.7297	0.8972	0.8133	[M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]]	t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y	detail