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
5122	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6762	0.8502	0.7953	[X:[1.3363], M:[0.8318, 1.0841, 1.0, 1.1682, 0.6637, 0.7102, 1.0376, 0.6727], q:[0.3971, 0.771], qb:[0.4347, 0.5653], phi:[0.458]]	[X:[[16]], M:[[-8], [4], [0], [8], [-16], [10], [-22], [32]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}^{2}$	${}$	-1	t^2.018 + t^2.131 + t^2.496 + t^3. + t^3.113 + t^3.252 + t^3.504 + t^3.617 + t^3.757 + t^4.009 + t^4.036 + t^4.149 + 2*t^4.261 + t^4.374 + t^4.513 + t^4.626 + t^4.766 + t^4.991 + t^5.018 + 2*t^5.131 + t^5.243 + t^5.27 + t^5.383 + t^5.522 + 2*t^5.635 + 2*t^5.748 + t^5.775 - t^6. + t^6.027 + t^6.054 + t^6.113 + t^6.14 + t^6.167 + t^6.225 + t^6.252 + 2*t^6.279 + 2*t^6.392 + 2*t^6.504 + t^6.531 + t^6.617 + t^6.644 + t^6.73 + 2*t^6.757 + t^6.784 + t^6.869 + t^6.896 - t^6.982 + 2*t^7.009 + t^7.036 + t^7.122 + 2*t^7.149 + 4*t^7.261 + t^7.288 + t^7.374 + t^7.401 + 3*t^7.513 + t^7.54 + t^7.626 + 2*t^7.653 - t^7.739 + 4*t^7.766 + t^7.793 + 2*t^7.878 + t^8.018 + t^8.045 + t^8.072 - t^8.131 + t^8.158 + t^8.184 + t^8.243 + 3*t^8.27 + 2*t^8.297 + t^8.356 + t^8.383 + 2*t^8.41 - 2*t^8.496 + 4*t^8.522 + t^8.549 + 2*t^8.635 + t^8.662 + 2*t^8.748 + 3*t^8.775 + t^8.802 + t^8.887 + t^8.914 - t^4.374/y - t^6.392/y - t^6.504/y + t^7.149/y + t^7.261/y - t^7.487/y + t^7.513/y + t^7.626/y + t^8.018/y + (2*t^8.131)/y + (2*t^8.243)/y + t^8.27/y + t^8.356/y + t^8.383/y - t^8.41/y + t^8.496/y + t^8.608/y + t^8.635/y + (2*t^8.748)/y + t^8.775/y + t^8.887/y - t^4.374*y - t^6.392*y - t^6.504*y + t^7.149*y + t^7.261*y - t^7.487*y + t^7.513*y + t^7.626*y + t^8.018*y + 2*t^8.131*y + 2*t^8.243*y + t^8.27*y + t^8.356*y + t^8.383*y - t^8.41*y + t^8.496*y + t^8.608*y + t^8.635*y + 2*t^8.748*y + t^8.775*y + t^8.887*y	g1^32*t^2.018 + g1^10*t^2.131 + t^2.496/g1^8 + t^3. + t^3.113/g1^22 + g1^4*t^3.252 + g1^8*t^3.504 + t^3.617/g1^14 + g1^12*t^3.757 + g1^16*t^4.009 + g1^64*t^4.036 + g1^42*t^4.149 + 2*g1^20*t^4.261 + t^4.374/g1^2 + g1^24*t^4.513 + g1^2*t^4.626 + g1^28*t^4.766 + t^4.991/g1^16 + g1^32*t^5.018 + 2*g1^10*t^5.131 + t^5.243/g1^12 + g1^36*t^5.27 + g1^14*t^5.383 + g1^40*t^5.522 + 2*g1^18*t^5.635 + (2*t^5.748)/g1^4 + g1^44*t^5.775 - t^6. + g1^48*t^6.027 + g1^96*t^6.054 + t^6.113/g1^22 + g1^26*t^6.14 + g1^74*t^6.167 + t^6.225/g1^44 + g1^4*t^6.252 + 2*g1^52*t^6.279 + 2*g1^30*t^6.392 + 2*g1^8*t^6.504 + g1^56*t^6.531 + t^6.617/g1^14 + g1^34*t^6.644 + t^6.73/g1^36 + 2*g1^12*t^6.757 + g1^60*t^6.784 + t^6.869/g1^10 + g1^38*t^6.896 - t^6.982/g1^32 + 2*g1^16*t^7.009 + g1^64*t^7.036 + t^7.122/g1^6 + 2*g1^42*t^7.149 + 4*g1^20*t^7.261 + g1^68*t^7.288 + t^7.374/g1^2 + g1^46*t^7.401 + 3*g1^24*t^7.513 + g1^72*t^7.54 + g1^2*t^7.626 + 2*g1^50*t^7.653 - t^7.739/g1^20 + 4*g1^28*t^7.766 + g1^76*t^7.793 + 2*g1^6*t^7.878 + g1^32*t^8.018 + g1^80*t^8.045 + g1^128*t^8.072 - g1^10*t^8.131 + g1^58*t^8.158 + g1^106*t^8.184 + t^8.243/g1^12 + 3*g1^36*t^8.27 + 2*g1^84*t^8.297 + t^8.356/g1^34 + g1^14*t^8.383 + 2*g1^62*t^8.41 - (2*t^8.496)/g1^8 + 4*g1^40*t^8.522 + g1^88*t^8.549 + 2*g1^18*t^8.635 + g1^66*t^8.662 + (2*t^8.748)/g1^4 + 3*g1^44*t^8.775 + g1^92*t^8.802 + g1^22*t^8.887 + g1^70*t^8.914 - t^4.374/(g1^2*y) - (g1^30*t^6.392)/y - (g1^8*t^6.504)/y + (g1^42*t^7.149)/y + (g1^20*t^7.261)/y - t^7.487/(g1^24*y) + (g1^24*t^7.513)/y + (g1^2*t^7.626)/y + (g1^32*t^8.018)/y + (2*g1^10*t^8.131)/y + (2*t^8.243)/(g1^12*y) + (g1^36*t^8.27)/y + t^8.356/(g1^34*y) + (g1^14*t^8.383)/y - (g1^62*t^8.41)/y + t^8.496/(g1^8*y) + t^8.608/(g1^30*y) + (g1^18*t^8.635)/y + (2*t^8.748)/(g1^4*y) + (g1^44*t^8.775)/y + (g1^22*t^8.887)/y - (t^4.374*y)/g1^2 - g1^30*t^6.392*y - g1^8*t^6.504*y + g1^42*t^7.149*y + g1^20*t^7.261*y - (t^7.487*y)/g1^24 + g1^24*t^7.513*y + g1^2*t^7.626*y + g1^32*t^8.018*y + 2*g1^10*t^8.131*y + (2*t^8.243*y)/g1^12 + g1^36*t^8.27*y + (t^8.356*y)/g1^34 + g1^14*t^8.383*y - g1^62*t^8.41*y + (t^8.496*y)/g1^8 + (t^8.608*y)/g1^30 + g1^18*t^8.635*y + (2*t^8.748*y)/g1^4 + g1^44*t^8.775*y + g1^22*t^8.887*y

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
6704	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{8}$	0.6651	0.8307	0.8006	[X:[1.4], M:[0.8, 1.1, 1.0, 1.2, 0.6, 0.75, 0.95, 0.8], q:[0.425, 0.775], qb:[0.375, 0.625], phi:[0.45]]	t^2.25 + 2*t^2.4 + t^2.85 + t^3. + t^3.3 + t^3.45 + t^3.6 + t^3.9 + t^4.2 + t^4.35 + 2*t^4.5 + 2*t^4.65 + 3*t^4.8 + 2*t^5.1 + 2*t^5.25 + t^5.4 + t^5.55 + 4*t^5.7 + 3*t^5.85 - t^4.35/y - t^4.35*y	detail	{a: 170259/256000, c: 212659/256000, X1: 7/5, M1: 4/5, M2: 11/10, M3: 1, M4: 6/5, M5: 3/5, M6: 3/4, M7: 19/20, M8: 4/5, q1: 17/40, q2: 31/40, qb1: 3/8, qb2: 5/8, phi1: 9/20}
6705	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{9}$	0.6558	0.8116	0.8081	[X:[1.3389], M:[0.8305, 1.0847, 1.0, 1.1695, 0.6611, 0.7118, 1.034, 0.6779, 1.2882], q:[0.3983, 0.7712], qb:[0.4322, 0.5678], phi:[0.4576]]	t^2.034 + t^2.492 + t^3. + t^3.102 + t^3.254 + t^3.508 + t^3.61 + t^3.763 + t^3.864 + t^4.017 + t^4.067 + t^4.271 + t^4.373 + t^4.525 + t^4.779 + t^4.983 + t^5.034 + t^5.136 + t^5.288 + t^5.542 + t^5.644 + t^5.746 + t^5.796 - t^6. - t^4.373/y - t^4.373*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
3449	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$	0.6553	0.8089	0.8101	[X:[1.3383], M:[0.8309, 1.0846, 1.0, 1.1691, 0.6617, 0.7114, 1.0349], q:[0.398, 0.7711], qb:[0.4329, 0.5671], phi:[0.4577]]	t^2.134 + t^2.493 + t^3. + t^3.105 + t^3.254 + t^3.507 + t^3.612 + t^3.761 + t^3.97 + t^4.015 + 2*t^4.268 + t^4.373 + t^4.627 + t^4.776 + t^4.985 + t^5.134 + t^5.239 + t^5.388 + t^5.642 + 2*t^5.746 - t^6. - t^4.373/y - t^4.373*y	detail