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
57799	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.469	1.673	0.878	[X:[1.353], M:[0.9049, 0.7127], q:[0.5105, 0.583], qb:[0.4532, 0.5121], phi:[0.3235]]	[X:[[0, 2]], M:[[-3, 11], [3, -16]], q:[[-4, 23], [2, -11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.14 + t^2.71 + t^2.89 + t^2.91 + t^3.07 + t^3.11 + t^4.04 + t^4.06 + t^4.08 + t^4.26 + t^4.28 + t^4.83 + t^4.85 + t^5.01 + t^5.03 + 2*t^5.05 + t^5.21 + 2*t^5.23 + t^5.25 + t^5.4 + t^5.43 + t^5.61 + t^5.63 + 2*t^5.78 + t^5.8 + t^5.82 + t^5.96 + t^5.98 - 2*t^6. + t^6.02 + t^6.14 + t^6.18 + 2*t^6.2 + t^6.22 + t^6.37 + t^6.39 + t^6.41 + t^6.75 + t^6.77 + t^6.93 + 2*t^6.95 + 2*t^6.97 + 3*t^6.99 + t^7.11 + t^7.13 + 2*t^7.15 + 4*t^7.17 + 2*t^7.19 + t^7.32 + 2*t^7.34 + 2*t^7.36 + t^7.38 + t^7.51 + t^7.52 + t^7.54 + t^7.55 + t^7.57 + 2*t^7.72 + t^7.74 + t^7.76 + 2*t^7.9 + t^7.92 + 3*t^7.94 + 2*t^7.96 + 2*t^8.08 + t^8.1 + 4*t^8.12 + t^8.14 + 2*t^8.16 + t^8.27 + 3*t^8.29 + 2*t^8.31 + t^8.32 + 4*t^8.34 + t^8.36 + t^8.47 + t^8.5 + 2*t^8.51 + t^8.52 + t^8.53 + t^8.54 + t^8.55 + t^8.67 + 2*t^8.69 - 3*t^8.71 + t^8.74 + 2*t^8.85 + 2*t^8.87 - 2*t^8.89 + t^8.91 + t^8.91/y^2 - t^3.97/y - t^4.94/y - t^6.11/y - t^6.69/y - t^6.86/y - t^6.88/y - t^7.04/y - (2*t^7.08)/y - t^7.66/y - t^8.01/y + t^8.03/y + t^8.21/y + t^8.61/y + t^8.63/y + t^8.78/y + t^8.8/y + t^8.96/y - t^3.97*y - t^4.94*y - t^6.11*y - t^6.69*y - t^6.86*y - t^6.88*y - t^7.04*y - 2*t^7.08*y - t^7.66*y - t^8.01*y + t^8.03*y + t^8.21*y + t^8.61*y + t^8.63*y + t^8.78*y + t^8.8*y + t^8.96*y + t^8.91*y^2	(g1^3*t^2.14)/g2^16 + (g2^11*t^2.71)/g1^3 + (g2^17*t^2.89)/g1^3 + t^2.91/g2^3 + (g2^23*t^3.07)/g1^3 + (g1^3*t^3.11)/g2^17 + (g2^22*t^4.04)/g1^3 + g2^2*t^4.06 + (g1^3*t^4.08)/g2^18 + (g1^3*t^4.26)/g2^12 + (g1^6*t^4.28)/g2^32 + (g2^15*t^4.83)/g1^3 + t^4.85/g2^5 + (g2^21*t^5.01)/g1^3 + g2*t^5.03 + (2*g1^3*t^5.05)/g2^19 + g2^7*t^5.21 + (2*g1^3*t^5.23)/g2^13 + (g1^6*t^5.25)/g2^33 + (g1^3*t^5.4)/g2^7 + (g2^22*t^5.43)/g1^6 + (g2^28*t^5.61)/g1^6 + (g2^8*t^5.63)/g1^3 + (2*g2^34*t^5.78)/g1^6 + (g2^14*t^5.8)/g1^3 + t^5.82/g2^6 + (g2^40*t^5.96)/g1^6 + (g2^20*t^5.98)/g1^3 - 2*t^6. + (g1^3*t^6.02)/g2^20 + (g2^46*t^6.14)/g1^6 + g2^6*t^6.18 + (2*g1^3*t^6.2)/g2^14 + (g1^6*t^6.22)/g2^34 + (g1^3*t^6.37)/g2^8 + (g1^6*t^6.39)/g2^28 + (g1^9*t^6.41)/g2^48 + (g2^33*t^6.75)/g1^6 + (g2^13*t^6.77)/g1^3 + (g2^39*t^6.93)/g1^6 + (2*g2^19*t^6.95)/g1^3 + (2*t^6.97)/g2 + (3*g1^3*t^6.99)/g2^21 + (g2^45*t^7.11)/g1^6 + (g2^25*t^7.13)/g1^3 + 2*g2^5*t^7.15 + (4*g1^3*t^7.17)/g2^15 + (2*g1^6*t^7.19)/g2^35 + g2^11*t^7.32 + (2*g1^3*t^7.34)/g2^9 + (2*g1^6*t^7.36)/g2^29 + (g1^9*t^7.38)/g2^49 + (g2^66*t^7.51)/g1^12 + (g1^3*t^7.52)/g2^3 + (g1^6*t^7.54)/g2^23 + (g2^26*t^7.55)/g1^6 + (g2^6*t^7.57)/g1^3 + (2*g2^32*t^7.72)/g1^6 + (g2^12*t^7.74)/g1^3 + t^7.76/g2^8 + (2*g2^38*t^7.9)/g1^6 + (g2^18*t^7.92)/g1^3 + (3*t^7.94)/g2^2 + (2*g1^3*t^7.96)/g2^22 + (2*g2^44*t^8.08)/g1^6 + (g2^24*t^8.1)/g1^3 + 4*g2^4*t^8.12 + (g2^33*t^8.14)/g1^9 + (2*g1^6*t^8.16)/g2^36 + (g2^30*t^8.27)/g1^3 + 3*g2^10*t^8.29 + (2*g1^3*t^8.31)/g2^10 + (g2^39*t^8.32)/g1^9 + (3*g1^6*t^8.34)/g2^30 + (g2^19*t^8.34)/g1^6 + (g1^9*t^8.36)/g2^50 + g2^16*t^8.47 + (g2^45*t^8.5)/g1^9 + (2*g1^6*t^8.51)/g2^24 + (g2^25*t^8.52)/g1^6 + (g1^9*t^8.53)/g2^44 + (g2^5*t^8.54)/g1^3 + (g1^12*t^8.55)/g2^64 + (g2^51*t^8.67)/g1^9 + (2*g2^31*t^8.69)/g1^6 - (3*g2^11*t^8.71)/g1^3 + t^8.74/g2^9 + (2*g2^57*t^8.85)/g1^9 + (2*g2^37*t^8.87)/g1^6 - (2*g2^17*t^8.89)/g1^3 + t^8.91/g2^3 + t^8.91/(g2^3*y^2) - t^3.97/(g2*y) - t^4.94/(g2^2*y) - (g1^3*t^6.11)/(g2^17*y) - (g2^10*t^6.69)/(g1^3*y) - (g2^16*t^6.86)/(g1^3*y) - t^6.88/(g2^4*y) - (g2^22*t^7.04)/(g1^3*y) - (2*g1^3*t^7.08)/(g2^18*y) - (g2^9*t^7.66)/(g1^3*y) - (g2^21*t^8.01)/(g1^3*y) + (g2*t^8.03)/y + (g2^7*t^8.21)/y + (g2^28*t^8.61)/(g1^6*y) + (g2^8*t^8.63)/(g1^3*y) + (g2^34*t^8.78)/(g1^6*y) + (g2^14*t^8.8)/(g1^3*y) + (g2^40*t^8.96)/(g1^6*y) - (t^3.97*y)/g2 - (t^4.94*y)/g2^2 - (g1^3*t^6.11*y)/g2^17 - (g2^10*t^6.69*y)/g1^3 - (g2^16*t^6.86*y)/g1^3 - (t^6.88*y)/g2^4 - (g2^22*t^7.04*y)/g1^3 - (2*g1^3*t^7.08*y)/g2^18 - (g2^9*t^7.66*y)/g1^3 - (g2^21*t^8.01*y)/g1^3 + g2*t^8.03*y + g2^7*t^8.21*y + (g2^28*t^8.61*y)/g1^6 + (g2^8*t^8.63*y)/g1^3 + (g2^34*t^8.78*y)/g1^6 + (g2^14*t^8.8*y)/g1^3 + (g2^40*t^8.96*y)/g1^6 + (t^8.91*y^2)/g2^3

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
61183	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4516	1.6474	0.8811	[X:[1.3906], M:[0.7811, 0.7424], q:[0.5022, 0.5965], qb:[0.4506, 0.6223], phi:[0.3047]]	t^2.23 + t^2.34 + t^2.74 + t^2.86 + t^3.14 + t^3.37 + t^4.06 + t^4.17 + t^4.29 + t^4.45 + 2*t^4.57 + 2*t^4.69 + 2*t^4.97 + 2*t^5.09 + 2*t^5.2 + t^5.37 + 3*t^5.48 + 2*t^5.6 + 2*t^5.72 + t^5.88 - t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*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
57286	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$	1.4759	1.6818	0.8775	[X:[1.3442], M:[0.9514, 0.6882], q:[0.4921, 0.5242], qb:[0.4919, 0.5244], phi:[0.3279]]	t^2.064 + t^2.854 + t^2.951 + t^2.952 + t^3.048 + t^3.049 + t^4.032 + 2*t^4.033 + t^4.129 + t^4.13 + 2*t^4.919 + 3*t^5.016 + t^5.017 + 2*t^5.113 + t^5.114 + t^5.508 + t^5.509 + t^5.605 + t^5.606 + t^5.708 + t^5.805 + t^5.806 + t^5.902 + t^5.903 + t^5.904 + t^5.999 - 3*t^6. - t^3.984/y - t^4.967/y - t^3.984*y - t^4.967*y	detail