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
57498	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4005	1.5908	0.8804	[X:[1.3547], M:[0.795, 1.0321], q:[0.3681, 0.6907], qb:[0.5143, 0.4911], phi:[0.3226]]	[X:[[0, 0, 4]], M:[[-1, 1, -5], [0, 0, 6]], q:[[-1, -1, 7], [-1, -1, 5]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$	${}$	-4	t^2.39 + t^2.58 + t^2.65 + t^3.1 + 2*t^3.55 + t^3.61 + t^4.06 + 2*t^4.51 + 2*t^4.58 + t^4.77 + t^4.96 + t^5.16 + t^5.22 + t^5.25 + t^5.29 + t^5.46 + 2*t^5.48 + t^5.53 + t^5.55 + t^5.67 + t^5.74 + t^5.93 - 4*t^6. - t^6.07 + 2*t^6.12 + 4*t^6.19 + 3*t^6.22 + t^6.26 + t^6.43 + t^6.45 + t^6.49 + 3*t^6.64 + 2*t^6.71 + t^6.9 - t^6.94 - 3*t^6.97 - t^7.04 + 5*t^7.09 + 8*t^7.16 + 2*t^7.18 + 3*t^7.23 + t^7.32 + t^7.35 + t^7.39 + t^7.46 + t^7.53 + t^7.54 + 3*t^7.61 - t^7.63 + 2*t^7.68 - 2*t^7.7 + t^7.73 + t^7.8 + t^7.83 + 2*t^7.87 + t^7.9 - 2*t^7.91 - t^7.94 - t^7.98 - t^8.01 + t^8.03 + 6*t^8.06 + 2*t^8.1 + 8*t^8.13 + t^8.15 + t^8.17 + 3*t^8.2 + t^8.25 + 2*t^8.32 + t^8.35 - 2*t^8.39 + t^8.51 + t^8.55 - 3*t^8.58 + t^8.62 - 5*t^8.65 - 3*t^8.67 + 2*t^8.7 - t^8.72 + 4*t^8.77 + 5*t^8.79 - t^8.81 + t^8.83 + 4*t^8.84 + 4*t^8.86 - 3*t^8.88 + t^8.91 - 2*t^8.95 + t^8.9/y^2 - t^3.97/y - t^4.94/y - t^6.35/y - t^6.55/y - t^6.61/y - t^7.06/y - t^7.32/y - (2*t^7.51)/y - t^7.58/y + t^7.96/y + t^8.22/y - t^8.48/y - t^8.55/y + t^8.67/y + t^8.93/y - t^3.97*y - t^4.94*y - t^6.35*y - t^6.55*y - t^6.61*y - t^7.06*y - t^7.32*y - 2*t^7.51*y - t^7.58*y + t^7.96*y + t^8.22*y - t^8.48*y - t^8.55*y + t^8.67*y + t^8.93*y + t^8.9*y^2	(g2*t^2.39)/(g1*g3^5) + (g2*g3^7*t^2.58)/g1 + (g1*g3^7*t^2.65)/g2 + g3^6*t^3.1 + (2*g2*g3^5*t^3.55)/g1 + (g1*g3^5*t^3.61)/g2 + g3^4*t^4.06 + (2*g2*g3^3*t^4.51)/g1 + (2*g1*g3^3*t^4.58)/g2 + (g2^2*t^4.77)/(g1^2*g3^10) + (g2^2*g3^2*t^4.96)/g1^2 + (g2^2*g3^14*t^5.16)/g1^2 + g3^14*t^5.22 + (g3^17*t^5.25)/(g1^3*g2^3) + (g1^2*g3^14*t^5.29)/g2^2 + (g1^2*g2^4*t^5.46)/g3^2 + (2*g2*g3*t^5.48)/g1 + (g1^4*g2^2*t^5.53)/g3^2 + (g1*g3*t^5.55)/g2 + (g2*g3^13*t^5.67)/g1 + (g1*g3^13*t^5.74)/g2 + (g2^2*t^5.93)/g1^2 - 4*t^6. - (g1^2*t^6.07)/g2^2 + (2*g2^2*g3^12*t^6.12)/g1^2 + 4*g3^12*t^6.19 + (3*g3^15*t^6.22)/(g1^3*g2^3) + (g1^2*g3^12*t^6.26)/g2^2 + (g1^2*g2^4*t^6.43)/g3^4 + (g2*t^6.45)/(g1*g3) + (g1^4*g2^2*t^6.49)/g3^4 + (3*g2*g3^11*t^6.64)/g1 + (2*g1*g3^11*t^6.71)/g2 + (g2^2*t^6.9)/(g1^2*g3^2) - (g1^3*g2^3*t^6.94)/g3^5 - (3*t^6.97)/g3^2 - (g1^2*t^7.04)/(g2^2*g3^2) + (5*g2^2*g3^10*t^7.09)/g1^2 + (g2^3*t^7.16)/(g1^3*g3^15) + 7*g3^10*t^7.16 + (2*g3^13*t^7.18)/(g1^3*g2^3) + (3*g1^2*g3^10*t^7.23)/g2^2 + (g2^6*t^7.32)/g3^6 + (g2^3*t^7.35)/(g1^3*g3^3) + (g1^2*g2^4*t^7.39)/g3^6 + (g1^4*g2^2*t^7.46)/g3^6 + (g1^6*t^7.53)/g3^6 + (g2^3*g3^9*t^7.54)/g1^3 + (3*g2*g3^9*t^7.61)/g1 - (g3^12*t^7.63)/(g1^4*g2^2) + (2*g1*g3^9*t^7.68)/g2 - (2*g3^12*t^7.7)/(g1^2*g2^4) + (g2^3*g3^21*t^7.73)/g1^3 + (g2*g3^21*t^7.8)/g1 + (g3^24*t^7.83)/(g1^4*g2^2) + (g2^2*t^7.87)/(g1^2*g3^4) + (g1*g3^21*t^7.87)/g2 + (g3^24*t^7.9)/(g1^2*g2^4) - (2*g1^3*g2^3*t^7.91)/g3^7 - (2*t^7.94)/g3^4 + (g1^3*g3^21*t^7.94)/g2^3 - (g1^5*g2*t^7.98)/g3^7 - (g1^2*t^8.01)/(g2^2*g3^4) + g1*g2^5*g3^5*t^8.03 + (6*g2^2*g3^8*t^8.06)/g1^2 + 2*g1^3*g2^3*g3^5*t^8.1 + 8*g3^8*t^8.13 + (g3^11*t^8.15)/(g1^3*g2^3) + g1^5*g2*g3^5*t^8.17 + (3*g1^2*g3^8*t^8.2)/g2^2 + (g2^2*g3^20*t^8.25)/g1^2 + (g2^3*t^8.32)/(g1^3*g3^5) + g3^20*t^8.32 + (g3^23*t^8.35)/(g1^3*g2^3) - (3*g2*t^8.39)/(g1*g3^5) + (g1^2*g3^20*t^8.39)/g2^2 + (g2^3*g3^7*t^8.51)/g1^3 + g1^2*g2^4*g3^4*t^8.55 - (3*g2*g3^7*t^8.58)/g1 + g1^4*g2^2*g3^4*t^8.62 - (5*g1*g3^7*t^8.65)/g2 - (3*g3^10*t^8.67)/(g1^2*g2^4) + (2*g2^3*g3^19*t^8.7)/g1^3 - (g1^3*g3^7*t^8.72)/g2^3 + (4*g2*g3^19*t^8.77)/g1 + (5*g3^22*t^8.79)/(g1^4*g2^2) - (g1*g2^5*t^8.81)/g3^9 + (g2^2*t^8.83)/(g1^2*g3^6) + (4*g1*g3^19*t^8.84)/g2 + (4*g3^22*t^8.86)/(g1^2*g2^4) - (3*g1^3*g2^3*t^8.88)/g3^9 + (g1^3*g3^19*t^8.91)/g2^3 - (2*g1^5*g2*t^8.95)/g3^9 + t^8.9/(g3^6*y^2) - t^3.97/(g3^2*y) - t^4.94/(g3^4*y) - (g2*t^6.35)/(g1*g3^7*y) - (g2*g3^5*t^6.55)/(g1*y) - (g1*g3^5*t^6.61)/(g2*y) - (g3^4*t^7.06)/y - (g2*t^7.32)/(g1*g3^9*y) - (2*g2*g3^3*t^7.51)/(g1*y) - (g1*g3^3*t^7.58)/(g2*y) + (g2^2*g3^2*t^7.96)/(g1^2*y) + (g3^14*t^8.22)/y - (g2*g3*t^8.48)/(g1*y) - (g1*g3*t^8.55)/(g2*y) + (g2*g3^13*t^8.67)/(g1*y) - (g2^2*t^8.74)/(g1^2*g3^12*y) + (g1*g3^13*t^8.74)/(g2*y) + (g2^2*t^8.93)/(g1^2*y) - (t^3.97*y)/g3^2 - (t^4.94*y)/g3^4 - (g2*t^6.35*y)/(g1*g3^7) - (g2*g3^5*t^6.55*y)/g1 - (g1*g3^5*t^6.61*y)/g2 - g3^4*t^7.06*y - (g2*t^7.32*y)/(g1*g3^9) - (2*g2*g3^3*t^7.51*y)/g1 - (g1*g3^3*t^7.58*y)/g2 + (g2^2*g3^2*t^7.96*y)/g1^2 + g3^14*t^8.22*y - (g2*g3*t^8.48*y)/g1 - (g1*g3*t^8.55*y)/g2 + (g2*g3^13*t^8.67*y)/g1 - (g2^2*t^8.74*y)/(g1^2*g3^12) + (g1*g3^13*t^8.74*y)/g2 + (g2^2*t^8.93*y)/g1^2 + (t^8.9*y^2)/g3^6

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
59032	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$	1.4002	1.5895	0.8809	[X:[1.3552], M:[0.8059, 1.0329], q:[0.3687, 0.6911], qb:[0.503, 0.503], phi:[0.3224]]	t^2.42 + 2*t^2.62 + t^3.1 + 3*t^3.58 + t^4.07 + 4*t^4.55 + t^4.84 + t^5.03 + 3*t^5.23 + t^5.25 + 2*t^5.49 + 3*t^5.52 + 2*t^5.71 - 4*t^6. - t^3.97/y - t^4.93/y - t^3.97*y - t^4.93*y	detail
59455	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	1.3979	1.5797	0.8849	[X:[1.378], M:[0.756, 1.067], q:[0.3907, 0.7017], qb:[0.5423, 0.4992], phi:[0.311]]	t^2.27 + t^2.67 + t^2.8 + t^3.2 + 2*t^3.6 + t^3.73 + t^4.13 + 3*t^4.54 + 2*t^4.67 + t^4.94 + t^5.34 + t^5.38 + 3*t^5.47 + t^5.56 + 2*t^5.6 + t^5.68 + 2*t^5.87 - 3*t^6. - t^3.93/y - t^4.87/y - t^3.93*y - t^4.87*y	detail
60193	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.3787	1.5519	0.8884	[X:[1.3977], M:[0.7455, 1.0965], q:[0.4659, 0.7671], qb:[0.4875, 0.4726], phi:[0.3012]]	t^2.24 + t^2.82 + t^2.86 + t^3.29 + 2*t^3.72 + t^3.76 + t^4.19 + t^4.47 + 2*t^4.62 + 2*t^4.67 + t^5.05 + t^5.2 + t^5.25 + 2*t^5.53 + t^5.57 + t^5.63 + t^5.68 + t^5.72 + t^5.96 - 3*t^6. - t^3.9/y - t^4.81/y - t^3.9*y - t^4.81*y	detail
58998	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$	1.3875	1.5627	0.8879	[X:[1.3996], M:[0.6998, 1.0994], q:[0.4107, 0.7109], qb:[0.5893, 0.4879], phi:[0.3002]]	t^2.1 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.39 + 2*t^5.4 + t^5.5 + t^5.6 + 3*t^5.7 + t^5.9 + t^5.99 - 3*t^6. - t^3.9/y - t^4.8/y - t^6./y - t^3.9*y - t^4.8*y - t^6.*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
47917	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.4047	1.592	0.8823	[X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]]	t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^3.943/y - t^4.887/y - t^3.943*y - t^4.887*y	detail