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
58721	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4205	1.6281	0.8725	[X:[1.3591], M:[0.7624, 0.7624], q:[0.3717, 0.6921], qb:[0.4681, 0.5455], phi:[0.3204]]	[X:[[0, 4]], M:[[0, -11], [0, -11]], q:[[-1, 13], [-1, 11]], qb:[[1, -12], [1, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$	${}$	-3	2*t^2.29 + t^2.52 + t^2.75 + t^2.88 + 2*t^3.48 + t^4.08 + 2*t^4.44 + 3*t^4.57 + 2*t^4.67 + 2*t^4.81 + 2*t^5.04 + 2*t^5.17 + 2*t^5.27 + 2*t^5.4 + t^5.41 + t^5.5 + 3*t^5.64 + 4*t^5.77 - 3*t^6. + 4*t^6.23 + 4*t^6.36 + t^6.37 + 2*t^6.6 + 3*t^6.73 + t^6.83 + 4*t^6.86 + 4*t^6.96 + 3*t^7.09 + t^7.1 + 5*t^7.19 + 6*t^7.33 + 2*t^7.43 + 3*t^7.46 + 6*t^7.56 + 4*t^7.69 + t^7.79 + 6*t^7.92 + 2*t^8.02 + 6*t^8.05 + 8*t^8.15 + t^8.16 + t^8.25 - 3*t^8.29 + 3*t^8.39 + 3*t^8.52 + 7*t^8.65 - 2*t^8.75 + 4*t^8.88 + t^8.89 + 4*t^8.98 + t^8.88/y^2 - t^3.96/y - t^4.92/y - (2*t^6.25)/y - t^6.48/y - t^6.71/y - t^6.85/y - (2*t^7.21)/y - (2*t^7.44)/y + t^7.57/y + t^7.81/y + (2*t^8.04)/y + (2*t^8.17)/y + t^8.27/y - t^8.4/y - (3*t^8.54)/y + t^8.64/y + (2*t^8.77)/y - t^3.96*y - t^4.92*y - 2*t^6.25*y - t^6.48*y - t^6.71*y - t^6.85*y - 2*t^7.21*y - 2*t^7.44*y + t^7.57*y + t^7.81*y + 2*t^8.04*y + 2*t^8.17*y + t^8.27*y - t^8.4*y - 3*t^8.54*y + t^8.64*y + 2*t^8.77*y + t^8.88*y^2	(2*t^2.29)/g2^11 + g2*t^2.52 + g2^13*t^2.75 + t^2.88/g2^6 + (2*t^3.48)/g2 + g2^4*t^4.08 + (2*t^4.44)/g2^3 + (3*t^4.57)/g2^22 + 2*g2^9*t^4.67 + (2*t^4.81)/g2^10 + 2*g2^2*t^5.04 + (2*t^5.17)/g2^17 + g2^14*t^5.27 + (g2^35*t^5.27)/g1^3 + (2*t^5.4)/g2^5 + (g1^3*t^5.41)/g2^26 + g2^26*t^5.5 + (g1^3*t^5.64)/g2^14 + 2*g2^7*t^5.64 + (4*t^5.77)/g2^12 - 3*t^6. + g2^12*t^6.23 + (3*g2^33*t^6.23)/g1^3 + (4*t^6.36)/g2^7 + (g1^3*t^6.37)/g2^28 + (g1^3*t^6.6)/g2^16 + g2^5*t^6.6 + (3*t^6.73)/g2^14 + g2^17*t^6.83 + (4*t^6.86)/g2^33 - (g1^3*t^6.96)/g2^23 + (5*t^6.96)/g2^2 + (3*t^7.09)/g2^21 + (g1^3*t^7.1)/g2^42 + 3*g2^10*t^7.19 + (2*g2^31*t^7.19)/g1^3 + (g1^3*t^7.33)/g2^30 + (5*t^7.33)/g2^9 + 2*g2^22*t^7.43 + (3*t^7.46)/g2^28 + (g1^3*t^7.56)/g2^18 + 5*g2^3*t^7.56 + (g1^3*t^7.69)/g2^37 + (3*t^7.69)/g2^16 + (g1^3*t^7.79)/g2^6 + g2^15*t^7.79 - (g2^36*t^7.79)/g1^3 + (6*t^7.92)/g2^4 + g2^27*t^8.02 + (g2^48*t^8.02)/g1^3 + (6*t^8.05)/g2^23 + 6*g2^8*t^8.15 + (2*g2^29*t^8.15)/g1^3 + (g1^3*t^8.16)/g2^13 + g2^39*t^8.25 + (g1^3*t^8.29)/g2^32 - (4*t^8.29)/g2^11 + (g1^3*t^8.39)/g2 + 2*g2^20*t^8.39 + (g1^3*t^8.52)/g2^20 - g2*t^8.52 + (3*g2^22*t^8.52)/g1^3 + (7*t^8.65)/g2^18 - 4*g2^13*t^8.75 + (2*g2^34*t^8.75)/g1^3 + (4*t^8.88)/g2^6 + (g1^3*t^8.89)/g2^27 + g2^25*t^8.98 + (3*g2^46*t^8.98)/g1^3 + t^8.88/(g2^6*y^2) - t^3.96/(g2^2*y) - t^4.92/(g2^4*y) - (2*t^6.25)/(g2^13*y) - t^6.48/(g2*y) - (g2^11*t^6.71)/y - t^6.85/(g2^8*y) - (2*t^7.21)/(g2^15*y) - (2*t^7.44)/(g2^3*y) + t^7.57/(g2^22*y) + t^7.81/(g2^10*y) + (2*g2^2*t^8.04)/y + (2*t^8.17)/(g2^17*y) + (g2^14*t^8.27)/y - t^8.4/(g2^5*y) - (3*t^8.54)/(g2^24*y) + (g2^7*t^8.64)/y + (2*t^8.77)/(g2^12*y) - (t^3.96*y)/g2^2 - (t^4.92*y)/g2^4 - (2*t^6.25*y)/g2^13 - (t^6.48*y)/g2 - g2^11*t^6.71*y - (t^6.85*y)/g2^8 - (2*t^7.21*y)/g2^15 - (2*t^7.44*y)/g2^3 + (t^7.57*y)/g2^22 + (t^7.81*y)/g2^10 + 2*g2^2*t^8.04*y + (2*t^8.17*y)/g2^17 + g2^14*t^8.27*y - (t^8.4*y)/g2^5 - (3*t^8.54*y)/g2^24 + g2^7*t^8.64*y + (2*t^8.77*y)/g2^12 + (t^8.88*y^2)/g2^6

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
60948	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.3998	1.6071	0.871	[X:[1.3651], M:[0.746, 0.746], q:[0.3122, 0.6296], qb:[0.5291, 0.6243], phi:[0.3175]]	2*t^2.24 + t^2.52 + t^2.81 + t^2.86 + 2*t^3.48 + t^4.1 + 2*t^4.43 + 3*t^4.48 + 3*t^4.71 + 2*t^4.76 + 2*t^5.05 + 2*t^5.1 + t^5.33 + 2*t^5.38 + t^5.62 + 5*t^5.67 + 4*t^5.71 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*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
57731	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4024	1.5963	0.8785	[X:[1.3532], M:[0.7786], q:[0.3662, 0.6896], qb:[0.4721, 0.5317], phi:[0.3234]]	t^2.34 + t^2.51 + t^2.69 + t^2.91 + 2*t^3.49 + t^3.66 + t^4.06 + 2*t^4.46 + 2*t^4.63 + t^4.67 + t^4.85 + t^5.03 + t^5.21 + t^5.24 + t^5.25 + t^5.39 + t^5.4 + 2*t^5.43 + t^5.58 + 2*t^5.6 + 2*t^5.82 - 2*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y	detail