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
55675	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}^{2}$ + ${ }q_{2}\tilde{q}_{1}$	0.6732	0.8001	0.8414	[q:[0.5261, 1.0677, 0.7969], qb:[0.9323, 0.5261, 0.5261], phi:[0.4062]]	[q:[[7, 2, 2], [-5, 0, 0], [1, 1, 1]], qb:[[5, 0, 0], [0, 5, 0], [0, 0, 5]], phi:[[-2, -2, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{2}$, ${ }q_{1}q_{3}$, ${ }q_{3}\tilde{q}_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{3}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{3}$	${}$	-9	t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. + 6*t^6.313 + 3*t^6.812 + 8*t^7.126 - 8*t^7.219 + t^7.312 + 15*t^7.532 + 3*t^8.031 + 10*t^8.344 - 9*t^8.437 + 18*t^8.75 + 6*t^8.843 - t^4.219/y - t^6.656/y + t^7.781/y + (3*t^8.594)/y - t^4.219*y - t^6.656*y + t^7.781*y + 3*t^8.594*y	t^2.437/(g1^4*g2^4*g3^4) + g1^7*g2^7*g3^2*t^3.157 + g2^5*g3^5*t^3.157 + g1^7*g2^2*g3^7*t^3.157 + g1*g2^6*g3*t^3.969 + g1^8*g2^3*g3^3*t^3.969 + g1*g2*g3^6*t^3.969 + g1^5*g2^5*t^4.375 + (g2^8*t^4.375)/(g1^2*g3^2) + g1^12*g2^2*g3^2*t^4.375 + (g2^3*g3^3*t^4.375)/g1^2 + g1^5*g3^5*t^4.375 + (g3^8*t^4.375)/(g1^2*g2^2) + t^4.874/(g1^8*g2^8*g3^8) + (g1^3*g2^3*t^5.594)/g3^2 + (g2*g3*t^5.594)/g1^4 + (g1^3*g3^3*t^5.594)/g2^2 - 3*t^6. - (g2^5*t^6.)/g3^5 - (g1^7*g2^2*t^6.)/g3^3 - (g2^3*t^6.)/(g1^7*g3^2) - (g1^7*g3^2*t^6.)/g2^3 - (g3^3*t^6.)/(g1^7*g2^2) - (g3^5*t^6.)/g2^5 + g1^14*g2^14*g3^4*t^6.313 + g1^7*g2^12*g3^7*t^6.313 + g1^14*g2^9*g3^9*t^6.313 + g2^10*g3^10*t^6.313 + g1^7*g2^7*g3^12*t^6.313 + g1^14*g2^4*g3^14*t^6.313 + (g2^4*t^6.812)/(g1^6*g3^6) + (g1^8*t^6.812)/(g2^2*g3^2) + (g3^4*t^6.812)/(g1^6*g2^6) + g1^8*g2^13*g3^3*t^7.126 + g1^15*g2^10*g3^5*t^7.126 + g1*g2^11*g3^6*t^7.126 + 2*g1^8*g2^8*g3^8*t^7.126 + g1^15*g2^5*g3^10*t^7.126 + g1*g2^6*g3^11*t^7.126 + g1^8*g2^3*g3^13*t^7.126 - (g1^5*t^7.219)/g2^5 - (g2^3*t^7.219)/(g1^2*g3^7) - (g1^5*t^7.219)/g3^5 - (g2*t^7.219)/(g1^9*g3^4) - (2*t^7.219)/(g1^2*g2^2*g3^2) - (g3*t^7.219)/(g1^9*g2^4) - (g3^3*t^7.219)/(g1^2*g2^7) + t^7.312/(g1^12*g2^12*g3^12) + g1^5*g2^15*t^7.532 + g1^12*g2^12*g3^2*t^7.532 + (g2^13*g3^3*t^7.532)/g1^2 + g1^19*g2^9*g3^4*t^7.532 + 2*g1^5*g2^10*g3^5*t^7.532 + 2*g1^12*g2^7*g3^7*t^7.532 + (g2^8*g3^8*t^7.532)/g1^2 + g1^19*g2^4*g3^9*t^7.532 + 2*g1^5*g2^5*g3^10*t^7.532 + g1^12*g2^2*g3^12*t^7.532 + (g2^3*g3^13*t^7.532)/g1^2 + g1^5*g3^15*t^7.532 + t^8.031/(g1*g2*g3^6) + t^8.031/(g1^8*g2^3*g3^3) + t^8.031/(g1*g2^6*g3) + (g2^14*t^8.344)/(g1*g3) + g1^6*g2^11*g3*t^8.344 + g1^13*g2^8*g3^3*t^8.344 + (g2^9*g3^4*t^8.344)/g1 + g1^20*g2^5*g3^5*t^8.344 + g1^6*g2^6*g3^6*t^8.344 + g1^13*g2^3*g3^8*t^8.344 + (g2^4*g3^9*t^8.344)/g1 + g1^6*g2*g3^11*t^8.344 + (g3^14*t^8.344)/(g1*g2) - (g2*t^8.437)/(g1^4*g3^9) - (g1^3*t^8.437)/(g2^2*g3^7) - t^8.437/(g1^11*g2*g3^6) - (3*t^8.437)/(g1^4*g2^4*g3^4) - (g1^3*t^8.437)/(g2^7*g3^2) - t^8.437/(g1^11*g2^6*g3) - (g3*t^8.437)/(g1^4*g2^9) + 2*g1^10*g2^10*t^8.75 + (g2^16*t^8.75)/(g1^4*g3^4) + (g1^3*g2^13*t^8.75)/g3^2 + (g2^11*g3*t^8.75)/g1^4 + g1^17*g2^7*g3^2*t^8.75 + g1^3*g2^8*g3^3*t^8.75 + g1^24*g2^4*g3^4*t^8.75 + g1^10*g2^5*g3^5*t^8.75 + (2*g2^6*g3^6*t^8.75)/g1^4 + g1^17*g2^2*g3^7*t^8.75 + g1^3*g2^3*g3^8*t^8.75 + 2*g1^10*g3^10*t^8.75 + (g2*g3^11*t^8.75)/g1^4 + (g1^3*g3^13*t^8.75)/g2^2 + (g3^16*t^8.75)/(g1^4*g2^4) + t^8.843/g2^10 + t^8.843/g3^10 + t^8.843/(g1^7*g2^2*g3^7) + t^8.843/(g2^5*g3^5) + t^8.843/(g1^14*g2^4*g3^4) + t^8.843/(g1^7*g2^7*g3^2) - t^4.219/(g1^2*g2^2*g3^2*y) - t^6.656/(g1^6*g2^6*g3^6*y) + (g1^2*g2^2*g3^2*t^7.781)/y + (g1^3*g2^3*t^8.594)/(g3^2*y) + (g2*g3*t^8.594)/(g1^4*y) + (g1^3*g3^3*t^8.594)/(g2^2*y) - (t^4.219*y)/(g1^2*g2^2*g3^2) - (t^6.656*y)/(g1^6*g2^6*g3^6) + g1^2*g2^2*g3^2*t^7.781*y + (g1^3*g2^3*t^8.594*y)/g3^2 + (g2*g3*t^8.594*y)/g1^4 + (g1^3*g3^3*t^8.594*y)/g2^2

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
55796	${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	0.6817	0.8108	0.8408	[M:[0.8681], q:[0.5659, 1.0474, 0.8067], qb:[0.9526, 0.5659, 0.515], phi:[0.3866]]	t^2.32 + t^2.604 + 2*t^3.243 + t^3.965 + 2*t^4.118 + t^4.25 + 2*t^4.403 + 3*t^4.555 + t^4.639 + t^4.924 + t^5.209 + 2*t^5.562 - 5*t^6. - t^4.16/y - t^4.16*y	detail
55749	${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{2}\tilde{q}_{3}$	0.6515	0.7734	0.8425	[q:[0.4152, 1.1949, 0.8051], qb:[0.8051, 0.6101, 0.6101], phi:[0.3899]]	t^2.339 + 2*t^3.076 + 3*t^3.661 + 4*t^4.245 + t^4.679 + 3*t^4.83 - 3*t^6. - t^4.17/y - t^4.17*y	detail
55714	${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{3}$ + ${ }\phi_{1}^{2}X_{1}$	0.4527	0.4986	0.9078	[X:[1.5042], q:[1.1239, 0.6282, 0.8761], qb:[1.3718, 0.5042, 0.5042], phi:[0.2479]]	t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*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
37	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$	0.6732	0.8001	0.8414	[q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]]	t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. - t^4.219/y - t^4.219*y	detail

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
55446	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{3}^{2}$	0.8279	0.9949	0.8321	[q:[0.7328, 0.7328, 0.7328], qb:[0.5547, 0.5547, 0.5547], phi:[0.5344]]	t^3.206 + 3*t^3.328 + 9*t^3.862 + 3*t^4.397 + 6*t^4.931 - 12*t^6. - t^4.603/y - t^4.603*y	detail