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
464	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.7101	0.9145	0.7765	[M:[0.692, 0.692, 0.692, 0.692, 0.692], q:[0.827, 0.827], qb:[0.481, 0.481], phi:[0.346]]	[M:[[1, -5], [0, -4], [0, -4], [-1, -3], [0, -4]], q:[[-1, 2], [1, 0]], qb:[[0, 3], [0, 3]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$	3	6*t^2.076 + t^2.886 + 2*t^3.924 + 21*t^4.152 + 7*t^4.962 + t^5.772 + 3*t^6. + 56*t^6.228 + 2*t^6.81 + 19*t^7.038 + t^7.848 - 11*t^8.076 + 126*t^8.304 + t^8.658 - 3*t^8.886 - t^4.038/y - (6*t^6.114)/y + (15*t^7.152)/y + (12*t^7.962)/y - (21*t^8.19)/y - t^4.038*y - 6*t^6.114*y + 15*t^7.152*y + 12*t^7.962*y - 21*t^8.19*y	(g1*t^2.076)/g2^5 + (4*t^2.076)/g2^4 + t^2.076/(g1*g2^3) + g2^6*t^2.886 + g1*g2^3*t^3.924 + (g2^5*t^3.924)/g1 + (g1^2*t^4.152)/g2^10 + (4*g1*t^4.152)/g2^9 + (11*t^4.152)/g2^8 + (4*t^4.152)/(g1*g2^7) + t^4.152/(g1^2*g2^6) + g1*g2*t^4.962 + 5*g2^2*t^4.962 + (g2^3*t^4.962)/g1 + g2^12*t^5.772 - 3*t^6. + (g1^2*t^6.)/g2^2 + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + (g2^2*t^6.)/g1^2 + (g1^3*t^6.228)/g2^15 + (4*g1^2*t^6.228)/g2^14 + (11*g1*t^6.228)/g2^13 + (24*t^6.228)/g2^12 + (11*t^6.228)/(g1*g2^11) + (4*t^6.228)/(g1^2*g2^10) + t^6.228/(g1^3*g2^9) + g1*g2^9*t^6.81 + (g2^11*t^6.81)/g1 + t^7.038/g1^2 + (g1^2*t^7.038)/g2^4 + (3*g1*t^7.038)/g2^3 + (11*t^7.038)/g2^2 + (3*t^7.038)/(g1*g2) + g1^2*g2^6*t^7.848 - g1*g2^7*t^7.848 + g2^8*t^7.848 - (g2^9*t^7.848)/g1 + (g2^10*t^7.848)/g1^2 + (g1^3*t^8.076)/g2^7 + (2*g1^2*t^8.076)/g2^6 - (g1*t^8.076)/g2^5 - (15*t^8.076)/g2^4 - t^8.076/(g1*g2^3) + (2*t^8.076)/(g1^2*g2^2) + t^8.076/(g1^3*g2) + (g1^4*t^8.304)/g2^20 + (4*g1^3*t^8.304)/g2^19 + (11*g1^2*t^8.304)/g2^18 + (24*g1*t^8.304)/g2^17 + (46*t^8.304)/g2^16 + (24*t^8.304)/(g1*g2^15) + (11*t^8.304)/(g1^2*g2^14) + (4*t^8.304)/(g1^3*g2^13) + t^8.304/(g1^4*g2^12) + g2^18*t^8.658 + g1^2*g2^4*t^8.886 + g1*g2^5*t^8.886 - 7*g2^6*t^8.886 + (g2^7*t^8.886)/g1 + (g2^8*t^8.886)/g1^2 - t^4.038/(g2^2*y) - (g1*t^6.114)/(g2^7*y) - (4*t^6.114)/(g2^6*y) - t^6.114/(g1*g2^5*y) + (4*g1*t^7.152)/(g2^9*y) + (7*t^7.152)/(g2^8*y) + (4*t^7.152)/(g1*g2^7*y) + (2*g1*g2*t^7.962)/y + (8*g2^2*t^7.962)/y + (2*g2^3*t^7.962)/(g1*y) - (g1^2*t^8.19)/(g2^12*y) - (4*g1*t^8.19)/(g2^11*y) - (11*t^8.19)/(g2^10*y) - (4*t^8.19)/(g1*g2^9*y) - t^8.19/(g1^2*g2^8*y) - (t^4.038*y)/g2^2 - (g1*t^6.114*y)/g2^7 - (4*t^6.114*y)/g2^6 - (t^6.114*y)/(g1*g2^5) + (4*g1*t^7.152*y)/g2^9 + (7*t^7.152*y)/g2^8 + (4*t^7.152*y)/(g1*g2^7) + 2*g1*g2*t^7.962*y + 8*g2^2*t^7.962*y + (2*g2^3*t^7.962*y)/g1 - (g1^2*t^8.19*y)/g2^12 - (4*g1*t^8.19*y)/g2^11 - (11*t^8.19*y)/g2^10 - (4*t^8.19*y)/(g1*g2^9) - (t^8.19*y)/(g1^2*g2^8)

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
1853	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7308	0.9551	0.7651	[M:[0.6855, 0.6901, 0.6901, 0.6948, 0.6901, 0.6855], q:[0.8321, 0.8228], qb:[0.4824, 0.4824], phi:[0.3451]]	2*t^2.056 + 4*t^2.07 + t^2.084 + t^2.894 + t^3.916 + 3*t^4.113 + 8*t^4.127 + 12*t^4.141 + 4*t^4.155 + t^4.169 + 2*t^4.951 + 5*t^4.965 + t^4.979 + t^5.789 + 2*t^5.972 + 2*t^5.986 - 4*t^6. - t^4.035/y - t^4.035*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
290	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$	0.6895	0.8743	0.7886	[M:[0.6948, 0.6948, 0.6948, 0.6948], q:[0.8263, 0.8263], qb:[0.4789, 0.4789], phi:[0.3474]]	5*t^2.084 + t^2.873 + 3*t^3.916 + 15*t^4.169 + 6*t^4.958 + t^5.747 + 6*t^6. - t^4.042/y - t^4.042*y	detail