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
92	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$	0.6484	0.7955	0.815	[M:[0.7061, 0.6966], q:[0.8243, 0.8243], qb:[0.4696, 0.4759], phi:[0.3515]]	[M:[[-7, -1], [2, -10]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$	${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.09 + t^2.109 + t^2.118 + t^2.837 + t^3.872 + t^3.882 + t^3.891 + 2*t^3.901 + t^4.18 + t^4.199 + t^4.208 + t^4.218 + t^4.227 + t^4.237 + t^4.927 + 2*t^4.946 + t^4.955 + t^5.673 + t^5.962 + t^5.971 + t^5.981 + 2*t^5.99 - t^6. + t^6.01 + t^6.019 + t^6.27 + t^6.289 + t^6.298 + t^6.308 + t^6.317 + 2*t^6.327 + t^6.336 + t^6.346 + t^6.355 + t^6.709 + t^6.718 + t^6.728 + 2*t^6.737 + t^7.016 + t^7.035 - t^7.045 + t^7.744 + t^7.754 + 2*t^7.763 + t^7.773 + 2*t^7.782 + t^7.792 + 2*t^7.801 + t^8.052 + t^8.061 + t^8.071 + 2*t^8.08 - t^8.09 - t^8.118 + t^8.137 + t^8.359 + t^8.378 + t^8.388 + t^8.398 + t^8.407 + 2*t^8.417 + t^8.426 + 2*t^8.436 + 2*t^8.445 + t^8.455 + t^8.464 + t^8.474 + t^8.51 + t^8.799 + t^8.808 + t^8.818 + t^8.827 - 2*t^8.837 + t^8.846 - t^4.054/y - t^6.144/y - t^6.163/y - t^6.173/y + t^7.199/y + t^7.208/y + t^7.227/y + t^7.927/y + t^7.936/y + (2*t^7.946)/y + t^7.955/y + t^7.965/y - t^8.234/y - t^8.253/y - t^8.263/y - t^8.272/y - t^8.282/y - t^8.291/y + t^8.962/y + t^8.971/y + (2*t^8.981)/y + (4*t^8.99)/y - t^4.054*y - t^6.144*y - t^6.163*y - t^6.173*y + t^7.199*y + t^7.208*y + t^7.227*y + t^7.927*y + t^7.936*y + 2*t^7.946*y + t^7.955*y + t^7.965*y - t^8.234*y - t^8.253*y - t^8.263*y - t^8.272*y - t^8.282*y - t^8.291*y + t^8.962*y + t^8.971*y + 2*t^8.981*y + 4*t^8.99*y	(g1^2*t^2.09)/g2^10 + t^2.109/(g1^4*g2^4) + t^2.118/(g1^7*g2) + g1^6*g2^6*t^2.837 + (g1^10*t^3.872)/g2^2 + g1^7*g2*t^3.882 + g1^4*g2^4*t^3.891 + 2*g1*g2^7*t^3.901 + (g1^4*t^4.18)/g2^20 + t^4.199/(g1^2*g2^14) + t^4.208/(g1^5*g2^11) + t^4.218/(g1^8*g2^8) + t^4.227/(g1^11*g2^5) + t^4.237/(g1^14*g2^2) + (g1^8*t^4.927)/g2^4 + 2*g1^2*g2^2*t^4.946 + (g2^5*t^4.955)/g1 + g1^12*g2^12*t^5.673 + (g1^12*t^5.962)/g2^12 + (g1^9*t^5.971)/g2^9 + (g1^6*t^5.981)/g2^6 + (2*g1^3*t^5.99)/g2^3 - t^6. + (g2^3*t^6.01)/g1^3 + (g2^6*t^6.019)/g1^6 + (g1^6*t^6.27)/g2^30 + t^6.289/g2^24 + t^6.298/(g1^3*g2^21) + t^6.308/(g1^6*g2^18) + t^6.317/(g1^9*g2^15) + (2*t^6.327)/(g1^12*g2^12) + t^6.336/(g1^15*g2^9) + t^6.346/(g1^18*g2^6) + t^6.355/(g1^21*g2^3) + g1^16*g2^4*t^6.709 + g1^13*g2^7*t^6.718 + g1^10*g2^10*t^6.728 + 2*g1^7*g2^13*t^6.737 + (g1^10*t^7.016)/g2^14 + (g1^4*t^7.035)/g2^8 - (g1*t^7.045)/g2^5 + (g1^20*t^7.744)/g2^4 + (g1^17*t^7.754)/g2 + 2*g1^14*g2^2*t^7.763 + g1^11*g2^5*t^7.773 + 2*g1^8*g2^8*t^7.782 + g1^5*g2^11*t^7.792 + 2*g1^2*g2^14*t^7.801 + (g1^14*t^8.052)/g2^22 + (g1^11*t^8.061)/g2^19 + (g1^8*t^8.071)/g2^16 + (2*g1^5*t^8.08)/g2^13 - (g1^2*t^8.09)/g2^10 - t^8.118/(g1^7*g2) + (g2^5*t^8.137)/g1^13 + (g1^8*t^8.359)/g2^40 + (g1^2*t^8.378)/g2^34 + t^8.388/(g1*g2^31) + t^8.398/(g1^4*g2^28) + t^8.407/(g1^7*g2^25) + (2*t^8.417)/(g1^10*g2^22) + t^8.426/(g1^13*g2^19) + (2*t^8.436)/(g1^16*g2^16) + (2*t^8.445)/(g1^19*g2^13) + t^8.455/(g1^22*g2^10) + t^8.464/(g1^25*g2^7) + t^8.474/(g1^28*g2^4) + g1^18*g2^18*t^8.51 + (g1^18*t^8.799)/g2^6 + (g1^15*t^8.808)/g2^3 + g1^12*t^8.818 + g1^9*g2^3*t^8.827 - 2*g1^6*g2^6*t^8.837 + g1^3*g2^9*t^8.846 - t^4.054/(g1^2*g2^2*y) - t^6.144/(g2^12*y) - t^6.163/(g1^6*g2^6*y) - t^6.173/(g1^9*g2^3*y) + t^7.199/(g1^2*g2^14*y) + t^7.208/(g1^5*g2^11*y) + t^7.227/(g1^11*g2^5*y) + (g1^8*t^7.927)/(g2^4*y) + (g1^5*t^7.936)/(g2*y) + (2*g1^2*g2^2*t^7.946)/y + (g2^5*t^7.955)/(g1*y) + (g2^8*t^7.965)/(g1^4*y) - (g1^2*t^8.234)/(g2^22*y) - t^8.253/(g1^4*g2^16*y) - t^8.263/(g1^7*g2^13*y) - t^8.272/(g1^10*g2^10*y) - t^8.282/(g1^13*g2^7*y) - t^8.291/(g1^16*g2^4*y) + (g1^12*t^8.962)/(g2^12*y) + (g1^9*t^8.971)/(g2^9*y) + (2*g1^6*t^8.981)/(g2^6*y) + (4*g1^3*t^8.99)/(g2^3*y) - (t^4.054*y)/(g1^2*g2^2) - (t^6.144*y)/g2^12 - (t^6.163*y)/(g1^6*g2^6) - (t^6.173*y)/(g1^9*g2^3) + (t^7.199*y)/(g1^2*g2^14) + (t^7.208*y)/(g1^5*g2^11) + (t^7.227*y)/(g1^11*g2^5) + (g1^8*t^7.927*y)/g2^4 + (g1^5*t^7.936*y)/g2 + 2*g1^2*g2^2*t^7.946*y + (g2^5*t^7.955*y)/g1 + (g2^8*t^7.965*y)/g1^4 - (g1^2*t^8.234*y)/g2^22 - (t^8.253*y)/(g1^4*g2^16) - (t^8.263*y)/(g1^7*g2^13) - (t^8.272*y)/(g1^10*g2^10) - (t^8.282*y)/(g1^13*g2^7) - (t^8.291*y)/(g1^16*g2^4) + (g1^12*t^8.962*y)/g2^12 + (g1^9*t^8.971*y)/g2^9 + (2*g1^6*t^8.981*y)/g2^6 + (4*g1^3*t^8.99*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
149	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.5422	0.6869	0.7893	[M:[0.7543, 1.1229], q:[0.7807, 0.7807], qb:[0.465, 0.2193], phi:[0.4386]]	t^2.053 + t^2.263 + t^2.631 + 2*t^3. + 2*t^3.369 + t^3.737 + 2*t^4.106 + t^4.316 + t^4.526 + 2*t^4.684 + t^4.894 + 2*t^5.053 + 2*t^5.263 + 2*t^5.421 + 2*t^5.631 + t^5.79 + 2*t^6. - t^4.316/y - t^4.316*y	detail
152	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6689	0.8347	0.8013	[M:[0.7013, 0.6929, 0.6985], q:[0.8254, 0.8254], qb:[0.4733, 0.4789], phi:[0.3493]]	t^2.079 + 2*t^2.096 + t^2.104 + t^2.857 + t^3.888 + t^3.896 + 2*t^3.913 + t^4.158 + 2*t^4.174 + t^4.183 + 3*t^4.191 + 2*t^4.2 + t^4.208 + t^4.935 + 3*t^4.952 + t^4.961 + t^5.713 + t^5.966 + t^5.975 + t^5.983 + 3*t^5.992 - 2*t^6. - t^4.048/y - t^4.048*y	detail
151	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$	0.6689	0.8347	0.8014	[M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]]	t^2.083 + t^2.089 + t^2.095 + t^2.108 + t^2.857 + 2*t^3.898 + t^3.905 + t^3.911 + t^4.166 + t^4.172 + 2*t^4.178 + t^4.185 + 2*t^4.191 + t^4.197 + t^4.203 + t^4.216 + t^4.94 + t^4.946 + 2*t^4.952 + t^4.965 + t^5.714 + 2*t^5.981 + 2*t^5.987 + 2*t^5.994 - t^6. - t^4.048/y - t^4.048*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
60	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	0.628	0.7573	0.8293	[M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]]	t^2.11 + t^2.127 + t^2.81 + t^3.84 + 2*t^3.857 + t^3.873 + t^3.89 + t^3.906 + t^4.221 + t^4.237 + t^4.254 + t^4.92 + 2*t^4.937 + t^5.62 + t^5.951 + 2*t^5.967 + t^5.984 - t^6. - t^4.063/y - t^4.063*y	detail