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
2416	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6463	0.8674	0.7451	[M:[0.9259, 1.2224, 0.9259, 0.7776, 0.7776, 0.6853, 0.8336], q:[0.7315, 0.3427], qb:[0.3427, 0.4349], phi:[0.5371]]	[M:[[4], [-12], [4], [12], [12], [-10], [-18]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	3	2*t^2.056 + 3*t^2.333 + t^2.501 + 2*t^2.778 + t^3.222 + 2*t^3.667 + t^3.944 + 3*t^4.112 + t^4.221 + 6*t^4.389 + 2*t^4.557 + 6*t^4.666 + 7*t^4.834 + t^5.002 + 6*t^5.11 + 4*t^5.278 + 5*t^5.555 + 3*t^5.723 + 3*t^6. + 6*t^6.168 + 2*t^6.277 + 10*t^6.445 + 3*t^6.554 + 3*t^6.613 + 12*t^6.722 + 11*t^6.89 + 11*t^6.998 + 2*t^7.058 + 13*t^7.166 + 10*t^7.334 + 11*t^7.443 + t^7.502 + 10*t^7.611 + 6*t^7.779 + 9*t^7.888 + 4*t^8.056 + t^8.165 + 8*t^8.224 + 2*t^8.333 + t^8.442 + 11*t^8.501 + 3*t^8.61 + 6*t^8.669 + 8*t^8.778 + 6*t^8.886 + 15*t^8.946 - t^4.611/y - t^6.667/y - t^6.944/y + (5*t^7.389)/y + (2*t^7.557)/y + (3*t^7.666)/y + (8*t^7.834)/y + (7*t^8.11)/y + (5*t^8.278)/y + (5*t^8.555)/y + (4*t^8.723)/y - t^4.611*y - t^6.667*y - t^6.944*y + 5*t^7.389*y + 2*t^7.557*y + 3*t^7.666*y + 8*t^7.834*y + 7*t^8.11*y + 5*t^8.278*y + 5*t^8.555*y + 4*t^8.723*y	(2*t^2.056)/g1^10 + 3*g1^12*t^2.333 + t^2.501/g1^18 + 2*g1^4*t^2.778 + t^3.222/g1^4 + (2*t^3.667)/g1^12 + g1^10*t^3.944 + (3*t^4.112)/g1^20 + g1^32*t^4.221 + 6*g1^2*t^4.389 + (2*t^4.557)/g1^28 + 6*g1^24*t^4.666 + (7*t^4.834)/g1^6 + t^5.002/g1^36 + 6*g1^16*t^5.11 + (4*t^5.278)/g1^14 + 5*g1^8*t^5.555 + (3*t^5.723)/g1^22 + 3*t^6. + (6*t^6.168)/g1^30 + 2*g1^22*t^6.277 + (10*t^6.445)/g1^8 + 3*g1^44*t^6.554 + (3*t^6.613)/g1^38 + 12*g1^14*t^6.722 + (11*t^6.89)/g1^16 + 11*g1^36*t^6.998 + (2*t^7.058)/g1^46 + 13*g1^6*t^7.166 + (10*t^7.334)/g1^24 + 11*g1^28*t^7.443 + t^7.502/g1^54 + (10*t^7.611)/g1^2 + (6*t^7.779)/g1^32 + 9*g1^20*t^7.888 + (4*t^8.056)/g1^10 + g1^42*t^8.165 + (8*t^8.224)/g1^40 + 2*g1^12*t^8.333 + g1^64*t^8.442 + (11*t^8.501)/g1^18 + 3*g1^34*t^8.61 + (6*t^8.669)/g1^48 + 8*g1^4*t^8.778 + 6*g1^56*t^8.886 + (15*t^8.946)/g1^26 - t^4.611/(g1^2*y) - t^6.667/(g1^12*y) - (g1^10*t^6.944)/y + (5*g1^2*t^7.389)/y + (2*t^7.557)/(g1^28*y) + (3*g1^24*t^7.666)/y + (8*t^7.834)/(g1^6*y) + (7*g1^16*t^8.11)/y + (5*t^8.278)/(g1^14*y) + (5*g1^8*t^8.555)/y + (4*t^8.723)/(g1^22*y) - (t^4.611*y)/g1^2 - (t^6.667*y)/g1^12 - g1^10*t^6.944*y + 5*g1^2*t^7.389*y + (2*t^7.557*y)/g1^28 + 3*g1^24*t^7.666*y + (8*t^7.834*y)/g1^6 + 7*g1^16*t^8.11*y + (5*t^8.278*y)/g1^14 + 5*g1^8*t^8.555*y + (4*t^8.723*y)/g1^22

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
4458	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6643	0.8999	0.7382	[M:[0.9232, 1.2304, 0.9232, 0.7696, 0.7696, 0.692, 0.8457, 0.7696], q:[0.7308, 0.346], qb:[0.346, 0.4235], phi:[0.5384]]	2*t^2.076 + 4*t^2.309 + t^2.537 + 2*t^2.77 + t^3.23 + t^3.691 + t^3.924 + 3*t^4.152 + t^4.156 + 8*t^4.385 + 2*t^4.613 + 10*t^4.617 + 8*t^4.846 + t^5.074 + 8*t^5.078 + 4*t^5.307 + 6*t^5.539 + t^5.767 + t^6. - t^4.615/y - t^4.615*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
1347	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6331	0.8457	0.7486	[M:[0.9195, 1.2415, 0.9195, 0.7585, 0.7585, 0.7012], q:[0.7299, 0.3506], qb:[0.3506, 0.4079], phi:[0.5402]]	2*t^2.104 + 3*t^2.276 + 2*t^2.759 + t^3.241 + t^3.413 + 2*t^3.724 + t^3.896 + t^4.068 + 3*t^4.207 + 6*t^4.379 + 6*t^4.551 + 4*t^4.862 + 6*t^5.034 + 2*t^5.345 + 7*t^5.517 + 3*t^5.689 + 2*t^5.828 + 3*t^6. - t^4.621/y - t^4.621*y	detail