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
2846	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6525	0.8144	0.8012	[X:[1.6156], M:[0.7165, 0.8211, 0.3844, 1.1532, 0.8468, 0.7945], q:[0.873, 0.4106], qb:[0.7426, 0.4363], phi:[0.3844]]	[X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [2, -5]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$	-1	t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. + 2*t^6.077 + t^6.154 + 2*t^6.234 + 2*t^6.311 + t^6.391 + t^6.448 + t^6.468 + t^6.605 + t^6.682 + 2*t^6.762 + 2*t^6.839 + t^6.916 + 2*t^6.919 + 3*t^6.996 + 2*t^7.073 + t^7.076 + t^7.15 + 2*t^7.153 + 3*t^7.23 + t^7.233 + t^7.307 + t^7.31 + t^7.387 + t^7.39 + t^7.464 + t^7.467 + t^7.541 + t^7.621 + t^7.698 + t^7.758 + t^7.855 + t^7.992 + t^8.069 - 2*t^8.149 + 2*t^8.226 - t^8.229 + t^8.304 - 2*t^8.306 - t^8.383 + 3*t^8.461 - 4*t^8.463 + t^8.538 - t^8.54 + t^8.598 + 3*t^8.618 + 2*t^8.695 + t^8.755 + 3*t^8.775 + t^8.832 + 2*t^8.852 + t^8.854 + 2*t^8.911 + t^8.932 + 2*t^8.989 - t^4.153/y - t^6.303/y - t^6.46/y - t^6.537/y - t^6.617/y + t^7.456/y + t^7.533/y + t^7.613/y + (3*t^7.69)/y + (2*t^7.77)/y + (3*t^7.847)/y + t^7.924/y + (2*t^8.004)/y - t^8.452/y - t^8.686/y - t^8.766/y + t^8.843/y - t^4.153*y - t^6.303*y - t^6.46*y - t^6.537*y - t^6.617*y + t^7.456*y + t^7.533*y + t^7.613*y + 3*t^7.69*y + 2*t^7.77*y + 3*t^7.847*y + t^7.924*y + 2*t^8.004*y - t^8.452*y - t^8.686*y - t^8.766*y + t^8.843*y	(g1^2*t^2.149)/g2^10 + t^2.306/g2^2 + (g1^2*t^2.383)/g2^5 + (g2^6*t^2.463)/g1^2 + g2^3*t^2.54 + t^3.46/g2^3 + g2^2*t^3.694 + (g1^2*t^3.771)/g2 + g2^7*t^3.928 + (g1^4*t^4.299)/g2^20 + (g1^2*t^4.456)/g2^12 + (g1^4*t^4.533)/g2^15 + (2*t^4.613)/g2^4 + (2*g1^2*t^4.69)/g2^7 + (g1^4*t^4.767)/g2^10 + (g2^4*t^4.77)/g1^2 + 3*g2*t^4.847 + (g1^2*t^4.924)/g2^2 + (g2^12*t^4.927)/g1^4 + (g2^9*t^5.004)/g1^2 + g2^6*t^5.081 + (g1^2*t^5.609)/g2^13 + (g1^2*t^5.843)/g2^8 + (g1^4*t^5.92)/g2^11 - t^6. + (2*g1^2*t^6.077)/g2^3 + (g1^4*t^6.154)/g2^6 + 2*g2^5*t^6.234 + 2*g1^2*g2^2*t^6.311 + (g2^13*t^6.391)/g1^2 + (g1^6*t^6.448)/g2^30 + g2^10*t^6.468 + (g1^4*t^6.605)/g2^22 + (g1^6*t^6.682)/g2^25 + (2*g1^2*t^6.762)/g2^14 + (2*g1^4*t^6.839)/g2^17 + (g1^6*t^6.916)/g2^20 + (2*t^6.919)/g2^6 + (3*g1^2*t^6.996)/g2^9 + (2*g1^4*t^7.073)/g2^12 + (g2^2*t^7.076)/g1^2 + (g1^6*t^7.15)/g2^15 + (2*t^7.153)/g2 + (3*g1^2*t^7.23)/g2^4 + (g2^10*t^7.233)/g1^4 + (g1^4*t^7.307)/g2^7 + (g2^7*t^7.31)/g1^2 + g2^4*t^7.387 + (g2^18*t^7.39)/g1^6 + g1^2*g2*t^7.464 + (g2^15*t^7.467)/g1^4 + (g1^4*t^7.541)/g2^2 + g2^9*t^7.621 + g1^2*g2^6*t^7.698 + (g1^4*t^7.758)/g2^23 + g2^14*t^7.855 + (g1^4*t^7.992)/g2^18 + (g1^6*t^8.069)/g2^21 - (2*g1^2*t^8.149)/g2^10 + (2*g1^4*t^8.226)/g2^13 - (g2*t^8.229)/g1^2 + (g1^6*t^8.304)/g2^16 - (2*t^8.306)/g2^2 - (g1^2*t^8.383)/g2^5 + (3*g1^4*t^8.461)/g2^8 - (4*g2^6*t^8.463)/g1^2 + (g1^6*t^8.538)/g2^11 - g2^3*t^8.54 + (g1^8*t^8.598)/g2^40 + 3*g1^2*t^8.618 + (2*g1^4*t^8.695)/g2^3 + (g1^6*t^8.755)/g2^32 + 3*g2^8*t^8.775 + (g1^8*t^8.832)/g2^35 + 2*g1^2*g2^5*t^8.852 + (g2^19*t^8.854)/g1^4 + (2*g1^4*t^8.911)/g2^24 + (g2^16*t^8.932)/g1^2 + (2*g1^6*t^8.989)/g2^27 - t^4.153/(g2*y) - (g1^2*t^6.303)/(g2^11*y) - t^6.46/(g2^3*y) - (g1^2*t^6.537)/(g2^6*y) - (g2^5*t^6.617)/(g1^2*y) + (g1^2*t^7.456)/(g2^12*y) + (g1^4*t^7.533)/(g2^15*y) + t^7.613/(g2^4*y) + (3*g1^2*t^7.69)/(g2^7*y) + (2*g2^4*t^7.77)/(g1^2*y) + (3*g2*t^7.847)/y + (g1^2*t^7.924)/(g2^2*y) + (2*g2^9*t^8.004)/(g1^2*y) - (g1^4*t^8.452)/(g2^21*y) - (g1^4*t^8.686)/(g2^16*y) - t^8.766/(g2^5*y) + (g1^2*t^8.843)/(g2^8*y) - (t^4.153*y)/g2 - (g1^2*t^6.303*y)/g2^11 - (t^6.46*y)/g2^3 - (g1^2*t^6.537*y)/g2^6 - (g2^5*t^6.617*y)/g1^2 + (g1^2*t^7.456*y)/g2^12 + (g1^4*t^7.533*y)/g2^15 + (t^7.613*y)/g2^4 + (3*g1^2*t^7.69*y)/g2^7 + (2*g2^4*t^7.77*y)/g1^2 + 3*g2*t^7.847*y + (g1^2*t^7.924*y)/g2^2 + (2*g2^9*t^8.004*y)/g1^2 - (g1^4*t^8.452*y)/g2^21 - (g1^4*t^8.686*y)/g2^16 - (t^8.766*y)/g2^5 + (g1^2*t^8.843*y)/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
3407	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$	0.6708	0.8471	0.7919	[X:[1.6178], M:[0.7084, 0.8203, 0.3822, 1.1466, 0.8534, 0.7975, 0.7644], q:[0.8814, 0.4101], qb:[0.7364, 0.4433], phi:[0.3822]]	t^2.125 + 2*t^2.293 + t^2.393 + t^2.461 + t^2.56 + t^3.44 + t^3.806 + t^3.974 + t^4.251 + 2*t^4.418 + t^4.518 + 4*t^4.586 + 3*t^4.686 + 2*t^4.754 + t^4.785 + 4*t^4.853 + t^4.922 + t^4.953 + t^5.021 + t^5.121 + t^5.565 + t^5.733 + t^5.932 - 2*t^6. - t^4.147/y - t^4.147*y	detail
3406	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$	0.4674	0.5477	0.8533	[X:[1.7143, 1.7143, 1.4286], M:[0.2857, 0.8571, 0.2857, 0.8571, 1.1429, 0.8571], q:[1.2857, 0.4286], qb:[0.4286, 0.7143], phi:[0.2857]]	3*t^2.571 + t^3.429 + t^4.286 + 6*t^5.143 - t^6. - t^3.857/y - t^3.857*y	detail	{a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 12/7, X3: 10/7, M1: 2/7, M2: 6/7, M3: 2/7, M4: 6/7, M5: 8/7, M6: 6/7, q1: 9/7, q2: 3/7, qb1: 3/7, qb2: 5/7, phi1: 2/7}

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
1825	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$	0.6366	0.7855	0.8105	[X:[1.6178], M:[0.7368, 0.7919, 0.3822, 1.1465, 0.8535], q:[0.8673, 0.396], qb:[0.7506, 0.4575], phi:[0.3822]]	t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y	detail