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 =

Search for theories with rational R-charges and central 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
1729	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	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, -4, -1], [0, 1, -5], [0, -5, 1], [0, -2, -2], [-1, 0, -3]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	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	(g2*t^2.076)/g3^5 + t^2.076/(g1*g3^3) + (2*t^2.076)/(g2^2*g3^2) + (g1*t^2.076)/(g2^4*g3) + (g3*t^2.076)/g2^5 + g2^3*g3^3*t^2.886 + g1*g2^3*t^3.924 + (g2*g3^4*t^3.924)/g1 + (g1*t^4.152)/g2^9 + (g2^2*t^4.152)/g3^10 + (g2*t^4.152)/(g1*g3^8) + (2*t^4.152)/(g2*g3^7) + t^4.152/(g1^2*g3^6) + (g1*t^4.152)/(g2^3*g3^6) + (2*t^4.152)/(g1*g2^2*g3^5) + (5*t^4.152)/(g2^4*g3^4) + (2*g1*t^4.152)/(g2^6*g3^3) + (g1^2*t^4.152)/(g2^8*g3^2) + t^4.152/(g1*g2^5*g3^2) + (2*t^4.152)/(g2^7*g3) + (g3^2*t^4.152)/g2^10 + (g2^3*t^4.962)/g1 + (g2^4*t^4.962)/g3^2 + 3*g2*g3*t^4.962 + (g1*g3^2*t^4.962)/g2 + (g3^4*t^4.962)/g2^2 + g2^6*g3^6*t^5.772 - 3*t^6. + (g1*g2^4*t^6.)/g3^5 + (g1*g2*t^6.)/g3^2 + (g1^2*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1^2 + (g3^2*t^6.)/(g1*g2) + (g3^5*t^6.)/(g1*g2^4) + (2*t^6.228)/g2^12 + (g2^3*t^6.228)/g3^15 + (g2^2*t^6.228)/(g1*g3^13) + (2*t^6.228)/g3^12 + (g1*t^6.228)/(g2^2*g3^11) + (g2*t^6.228)/(g1^2*g3^11) + (2*t^6.228)/(g1*g2*g3^10) + t^6.228/(g1^3*g3^9) + (5*t^6.228)/(g2^3*g3^9) + (2*g1*t^6.228)/(g2^5*g3^8) + (2*t^6.228)/(g1^2*g2^2*g3^8) + (g1^2*t^6.228)/(g2^7*g3^7) + (5*t^6.228)/(g1*g2^4*g3^7) + (8*t^6.228)/(g2^6*g3^6) + (5*g1*t^6.228)/(g2^8*g3^5) + t^6.228/(g1^2*g2^5*g3^5) + (2*g1^2*t^6.228)/(g2^10*g3^4) + (2*t^6.228)/(g1*g2^7*g3^4) + (g1^3*t^6.228)/(g2^12*g3^3) + (5*t^6.228)/(g2^9*g3^3) + (2*g1*t^6.228)/(g2^11*g3^2) + (g1^2*t^6.228)/(g2^13*g3) + t^6.228/(g1*g2^10*g3) + (g1*g3*t^6.228)/g2^14 + (g3^3*t^6.228)/g2^15 + g1*g2^6*g3^3*t^6.81 + (g2^4*g3^7*t^6.81)/g1 + (2*g1*t^7.038)/g2^3 + (g2^5*t^7.038)/g3^7 + (g2^4*t^7.038)/(g1*g3^5) + (2*g2^2*t^7.038)/g3^4 + (g2^3*t^7.038)/(g1^2*g3^3) + (2*g2*t^7.038)/(g1*g3^2) + (5*t^7.038)/(g2*g3) + (g1^2*g3*t^7.038)/g2^5 + (2*g3^2*t^7.038)/g2^4 + (g1*g3^3*t^7.038)/g2^6 + (g3^5*t^7.038)/g2^7 + g1^2*g2^6*t^7.848 - g1*g2^5*g3^2*t^7.848 + g2^4*g3^4*t^7.848 - (g2^3*g3^6*t^7.848)/g1 + (g2^2*g3^8*t^7.848)/g1^2 + t^8.076/(g1*g2^3) + (g1*g2^5*t^8.076)/g3^10 + (g1*g2^2*t^8.076)/g3^7 + (g1^2*t^8.076)/g3^6 - (4*g2*t^8.076)/g3^5 + (g1*t^8.076)/(g2*g3^4) - (4*t^8.076)/(g1*g3^3) + (g1^2*t^8.076)/(g2^3*g3^3) + (g1^3*t^8.076)/(g2^5*g3^2) - (7*t^8.076)/(g2^2*g3^2) + (g2*t^8.076)/(g1^3*g3^2) - (4*g1*t^8.076)/(g2^4*g3) + t^8.076/(g1^2*g2*g3) - (4*g3*t^8.076)/g2^5 + (g3^2*t^8.076)/(g1^2*g2^4) + (g3^3*t^8.076)/(g1*g2^6) + (g3^6*t^8.076)/(g1*g2^9) + (g1^2*t^8.304)/g2^18 + t^8.304/(g1*g2^15) + (g2^4*t^8.304)/g3^20 + (g2^3*t^8.304)/(g1*g3^18) + (2*g2*t^8.304)/g3^17 + (g1*t^8.304)/(g2*g3^16) + (g2^2*t^8.304)/(g1^2*g3^16) + (2*t^8.304)/(g1*g3^15) + (5*t^8.304)/(g2^2*g3^14) + (g2*t^8.304)/(g1^3*g3^14) + (2*g1*t^8.304)/(g2^4*g3^13) + (2*t^8.304)/(g1^2*g2*g3^13) + t^8.304/(g1^4*g3^12) + (g1^2*t^8.304)/(g2^6*g3^12) + (5*t^8.304)/(g1*g2^3*g3^12) + (8*t^8.304)/(g2^5*g3^11) + (2*t^8.304)/(g1^3*g2^2*g3^11) + (5*g1*t^8.304)/(g2^7*g3^10) + (5*t^8.304)/(g1^2*g2^4*g3^10) + (2*g1^2*t^8.304)/(g2^9*g3^9) + (8*t^8.304)/(g1*g2^6*g3^9) + (g1^3*t^8.304)/(g2^11*g3^8) + (14*t^8.304)/(g2^8*g3^8) + t^8.304/(g1^3*g2^5*g3^8) + (8*g1*t^8.304)/(g2^10*g3^7) + (2*t^8.304)/(g1^2*g2^7*g3^7) + (5*g1^2*t^8.304)/(g2^12*g3^6) + (5*t^8.304)/(g1*g2^9*g3^6) + (2*g1^3*t^8.304)/(g2^14*g3^5) + (8*t^8.304)/(g2^11*g3^5) + (g1^4*t^8.304)/(g2^16*g3^4) + (5*g1*t^8.304)/(g2^13*g3^4) + t^8.304/(g1^2*g2^10*g3^4) + (2*g1^2*t^8.304)/(g2^15*g3^3) + (2*t^8.304)/(g1*g2^12*g3^3) + (g1^3*t^8.304)/(g2^17*g3^2) + (5*t^8.304)/(g2^14*g3^2) + (2*g1*t^8.304)/(g2^16*g3) + (2*g3*t^8.304)/g2^17 + (g1*g3^2*t^8.304)/g2^19 + (g3^4*t^8.304)/g2^20 + g2^9*g3^9*t^8.658 - g2^6*t^8.886 + (g1*g2^7*t^8.886)/g3^2 + g1*g2^4*g3*t^8.886 + g1^2*g2^2*g3^2*t^8.886 - (g2^5*g3^2*t^8.886)/g1 - 5*g2^3*g3^3*t^8.886 - g1*g2*g3^4*t^8.886 + (g2^4*g3^4*t^8.886)/g1^2 + (g2^2*g3^5*t^8.886)/g1 - g3^6*t^8.886 + (g3^8*t^8.886)/(g1*g2) - t^4.038/(g2*g3*y) - t^6.114/(g2^6*y) - t^6.114/(g3^6*y) - t^6.114/(g1*g2*g3^4*y) - (2*t^6.114)/(g2^3*g3^3*y) - (g1*t^6.114)/(g2^5*g3^2*y) + (g1*t^7.152)/(g2^9*y) + (g2*t^7.152)/(g1*g3^8*y) + (2*t^7.152)/(g2*g3^7*y) + (g1*t^7.152)/(g2^3*g3^6*y) + (2*t^7.152)/(g1*g2^2*g3^5*y) + (3*t^7.152)/(g2^4*g3^4*y) + (2*g1*t^7.152)/(g2^6*g3^3*y) + t^7.152/(g1*g2^5*g3^2*y) + (2*t^7.152)/(g2^7*g3*y) + (2*g2^3*t^7.962)/(g1*y) + (2*g2^4*t^7.962)/(g3^2*y) + (4*g2*g3*t^7.962)/y + (2*g1*g3^2*t^7.962)/(g2*y) + (2*g3^4*t^7.962)/(g2^2*y) - (g2*t^8.19)/(g3^11*y) - t^8.19/(g1*g3^9*y) - (2*t^8.19)/(g2^2*g3^8*y) - (g1*t^8.19)/(g2^4*g3^7*y) - t^8.19/(g1^2*g2*g3^7*y) - (2*t^8.19)/(g1*g2^3*g3^6*y) - (5*t^8.19)/(g2^5*g3^5*y) - (2*g1*t^8.19)/(g2^7*g3^4*y) - (g1^2*t^8.19)/(g2^9*g3^3*y) - t^8.19/(g1*g2^6*g3^3*y) - (2*t^8.19)/(g2^8*g3^2*y) - (g1*t^8.19)/(g2^10*g3*y) - (g3*t^8.19)/(g2^11*y) - (t^4.038*y)/(g2*g3) - (t^6.114*y)/g2^6 - (t^6.114*y)/g3^6 - (t^6.114*y)/(g1*g2*g3^4) - (2*t^6.114*y)/(g2^3*g3^3) - (g1*t^6.114*y)/(g2^5*g3^2) + (g1*t^7.152*y)/g2^9 + (g2*t^7.152*y)/(g1*g3^8) + (2*t^7.152*y)/(g2*g3^7) + (g1*t^7.152*y)/(g2^3*g3^6) + (2*t^7.152*y)/(g1*g2^2*g3^5) + (3*t^7.152*y)/(g2^4*g3^4) + (2*g1*t^7.152*y)/(g2^6*g3^3) + (t^7.152*y)/(g1*g2^5*g3^2) + (2*t^7.152*y)/(g2^7*g3) + (2*g2^3*t^7.962*y)/g1 + (2*g2^4*t^7.962*y)/g3^2 + 4*g2*g3*t^7.962*y + (2*g1*g3^2*t^7.962*y)/g2 + (2*g3^4*t^7.962*y)/g2^2 - (g2*t^8.19*y)/g3^11 - (t^8.19*y)/(g1*g3^9) - (2*t^8.19*y)/(g2^2*g3^8) - (g1*t^8.19*y)/(g2^4*g3^7) - (t^8.19*y)/(g1^2*g2*g3^7) - (2*t^8.19*y)/(g1*g2^3*g3^6) - (5*t^8.19*y)/(g2^5*g3^5) - (2*g1*t^8.19*y)/(g2^7*g3^4) - (g1^2*t^8.19*y)/(g2^9*g3^3) - (t^8.19*y)/(g1*g2^6*g3^3) - (2*t^8.19*y)/(g2^8*g3^2) - (g1*t^8.19*y)/(g2^10*g3) - (g3*t^8.19*y)/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

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
200	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6895	0.8749	0.7881	[M:[0.6857, 0.6986, 0.6931, 0.6959], q:[0.8349, 0.8172], qb:[0.4795, 0.4767], phi:[0.3479]]	t^2.057 + t^2.079 + 2*t^2.088 + t^2.096 + t^2.869 + t^3.882 + t^3.89 + t^3.935 + t^4.114 + t^4.136 + 2*t^4.145 + t^4.153 + t^4.159 + 2*t^4.167 + 4*t^4.175 + 2*t^4.183 + t^4.191 + t^4.926 + t^4.948 + 3*t^4.956 + t^4.964 + t^5.737 + t^5.939 + t^5.947 + t^5.961 + 2*t^5.969 + 2*t^5.978 + t^5.986 - 3*t^6. - t^4.044/y - t^4.044*y	detail