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
48134	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.6187	0.7598	0.8142	[M:[0.8251, 0.7414, 1.1749, 0.7414, 1.2167], q:[0.8042, 0.3707], qb:[0.4544, 0.8042], phi:[0.3916]]	[M:[[6], [-14], [-6], [-14], [4]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-1	2*t^2.224 + t^2.475 + t^3.399 + 2*t^3.525 + 2*t^3.65 + t^3.901 + 3*t^4.449 + 2*t^4.7 + t^4.825 + t^4.951 + 2*t^5.623 + 3*t^5.749 + 3*t^5.874 - t^6. + 2*t^6.126 - t^6.251 + t^6.377 + 4*t^6.673 + t^6.798 + 4*t^6.924 + 4*t^7.049 + 2*t^7.175 + t^7.551 + t^7.802 + 3*t^7.848 + 4*t^7.973 + 4*t^8.099 - 3*t^8.224 + 3*t^8.35 - 3*t^8.475 - t^8.726 + t^8.852 + 5*t^8.897 - t^4.175/y - (2*t^6.399)/y + t^7.449/y + (2*t^7.7)/y + (2*t^7.951)/y - t^8.623/y + (4*t^8.749)/y + (5*t^8.874)/y - t^4.175*y - 2*t^6.399*y + t^7.449*y + 2*t^7.7*y + 2*t^7.951*y - t^8.623*y + 4*t^8.749*y + 5*t^8.874*y	(2*t^2.224)/g1^14 + g1^6*t^2.475 + t^3.399/g1^16 + (2*t^3.525)/g1^6 + 2*g1^4*t^3.65 + g1^24*t^3.901 + (3*t^4.449)/g1^28 + (2*t^4.7)/g1^8 + g1^2*t^4.825 + g1^12*t^4.951 + (2*t^5.623)/g1^30 + (3*t^5.749)/g1^20 + (3*t^5.874)/g1^10 - t^6. + 2*g1^10*t^6.126 - g1^20*t^6.251 + g1^30*t^6.377 + (4*t^6.673)/g1^42 + t^6.798/g1^32 + (4*t^6.924)/g1^22 + (4*t^7.049)/g1^12 + (2*t^7.175)/g1^2 + g1^28*t^7.551 + g1^48*t^7.802 + (3*t^7.848)/g1^44 + (4*t^7.973)/g1^34 + (4*t^8.099)/g1^24 - (3*t^8.224)/g1^14 + (3*t^8.35)/g1^4 - 3*g1^6*t^8.475 - g1^26*t^8.726 + g1^36*t^8.852 + (5*t^8.897)/g1^56 - t^4.175/(g1^2*y) - (2*t^6.399)/(g1^16*y) + t^7.449/(g1^28*y) + (2*t^7.7)/(g1^8*y) + (2*g1^12*t^7.951)/y - t^8.623/(g1^30*y) + (4*t^8.749)/(g1^20*y) + (5*t^8.874)/(g1^10*y) - (t^4.175*y)/g1^2 - (2*t^6.399*y)/g1^16 + (t^7.449*y)/g1^28 + (2*t^7.7*y)/g1^8 + 2*g1^12*t^7.951*y - (t^8.623*y)/g1^30 + (4*t^8.749*y)/g1^20 + (5*t^8.874*y)/g1^10

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
51105	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$	0.6337	0.7854	0.8068	[M:[0.8211, 0.7509, 1.1789, 0.7509, 1.214, 0.8211], q:[0.8035, 0.3754], qb:[0.4456, 0.8035], phi:[0.393]]	2*t^2.253 + 2*t^2.463 + t^3.432 + t^3.537 + 2*t^3.642 + t^3.853 + 3*t^4.505 + 4*t^4.716 + t^4.821 + 3*t^4.926 + 2*t^5.684 + t^5.789 + 4*t^5.895 - t^6. - t^4.179/y - t^4.179*y	detail	{a: 68629/108300, c: 21266/27075, M1: 78/95, M2: 214/285, M3: 112/95, M4: 214/285, M5: 346/285, M6: 78/95, q1: 229/285, q2: 107/285, qb1: 127/285, qb2: 229/285, phi1: 112/285}
55505	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6317	0.7814	0.8084	[M:[0.8136, 0.7684, 1.1864, 0.7684, 1.209, 0.8362], q:[0.8023, 0.3842], qb:[0.4294, 0.8023], phi:[0.3955]]	2*t^2.305 + t^2.441 + t^2.508 + 2*t^3.559 + 2*t^3.627 + t^3.763 + 3*t^4.61 + 2*t^4.746 + 3*t^4.814 + t^4.881 + t^4.949 + t^5.017 + 3*t^5.864 + 2*t^5.932 - t^6. - t^4.186/y - t^4.186*y	detail	{a: 26387/41772, c: 32641/41772, M1: 48/59, M2: 136/177, M3: 70/59, M4: 136/177, M5: 214/177, M6: 148/177, q1: 142/177, q2: 68/177, qb1: 76/177, qb2: 142/177, phi1: 70/177}
54980	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6393	0.8004	0.7988	[M:[0.8279, 0.7348, 1.1721, 0.7348, 1.2186, 0.6882], q:[0.8047, 0.3674], qb:[0.4605, 0.8047], phi:[0.3907]]	t^2.065 + 2*t^2.204 + t^2.484 + t^3.376 + 2*t^3.516 + 2*t^3.656 + t^4.129 + 2*t^4.269 + 3*t^4.409 + t^4.549 + 2*t^4.688 + t^4.828 + t^4.968 + t^5.441 + 4*t^5.581 + 5*t^5.721 + 3*t^5.86 - t^6. - t^4.172/y - t^4.172*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
46466	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.6362	0.7913	0.804	[M:[0.8273, 0.7364, 1.1727, 0.7364], q:[0.8045, 0.3682], qb:[0.4591, 0.8045], phi:[0.3909]]	2*t^2.209 + t^2.345 + t^2.482 + t^3.382 + 2*t^3.518 + t^3.655 + t^3.927 + 3*t^4.418 + 2*t^4.555 + 3*t^4.691 + 2*t^4.827 + t^4.964 + 2*t^5.591 + 4*t^5.727 + 3*t^5.864 - t^4.173/y - t^4.173*y	detail