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
57765	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4532	1.6442	0.8838	[X:[1.3515], M:[0.8901, 0.9446], q:[0.4848, 0.5955], qb:[0.4599, 0.5144], phi:[0.3242]]	[X:[[0, 2]], M:[[-3, 11], [-3, 17]], 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
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}q_{1}^{2}\tilde{q}_{2}^{2}$	-2	t^2.67 + 2*t^2.83 + t^2.92 + t^3. + t^3.81 + t^3.97 + t^4.05 + t^4.14 + t^4.3 + t^4.78 + t^4.94 + t^5.11 + 2*t^5.28 + t^5.34 + t^5.44 + 2*t^5.5 + t^5.59 + 4*t^5.67 + 2*t^5.75 + 2*t^5.83 + t^5.92 - 2*t^6. - t^6.16 + t^6.25 - t^6.33 + t^6.41 + t^6.48 + 3*t^6.64 + 2*t^6.72 + 3*t^6.8 + 3*t^6.89 + 3*t^6.97 + t^7.05 + 2*t^7.06 + t^7.14 + 2*t^7.22 + t^7.28 + t^7.38 + t^7.45 - t^7.47 + t^7.55 + 4*t^7.61 + 4*t^7.78 + 2*t^7.94 + 3*t^7.95 + t^8.01 + t^8.03 + 5*t^8.11 + 2*t^8.17 + 2*t^8.19 + t^8.26 + 4*t^8.27 + 3*t^8.34 + t^8.36 + 2*t^8.42 + 5*t^8.5 + 5*t^8.59 + 4*t^8.75 - 6*t^8.83 + 2*t^8.91 + t^8.99 + t^8.92/y^2 - t^3.97/y - t^4.95/y - t^6.64/y - (2*t^6.81)/y - t^6.89/y - t^6.97/y - t^7.62/y - (2*t^7.78)/y - t^7.86/y - t^7.94/y + (2*t^8.5)/y + t^8.59/y + (2*t^8.67)/y + t^8.75/y + (2*t^8.83)/y - t^3.97*y - t^4.95*y - t^6.64*y - 2*t^6.81*y - t^6.89*y - t^6.97*y - t^7.62*y - 2*t^7.78*y - t^7.86*y - t^7.94*y + 2*t^8.5*y + t^8.59*y + 2*t^8.67*y + t^8.75*y + 2*t^8.83*y + t^8.92*y^2	(g2^11*t^2.67)/g1^3 + (2*g2^17*t^2.83)/g1^3 + t^2.92/g2^3 + (g2^23*t^3.)/g1^3 + (g2^16*t^3.81)/g1^3 + (g2^22*t^3.97)/g1^3 + g2^2*t^4.05 + (g1^3*t^4.14)/g2^18 + (g1^3*t^4.3)/g2^12 + (g2^15*t^4.78)/g1^3 + (g2^21*t^4.94)/g1^3 + (g1^3*t^5.11)/g2^19 + (2*g1^3*t^5.28)/g2^13 + (g2^22*t^5.34)/g1^6 + (g1^3*t^5.44)/g2^7 + (2*g2^28*t^5.5)/g1^6 + (g2^8*t^5.59)/g1^3 + (4*g2^34*t^5.67)/g1^6 + (2*g2^14*t^5.75)/g1^3 + (2*g2^40*t^5.83)/g1^6 + (g2^20*t^5.92)/g1^3 - 3*t^6. + (g2^46*t^6.)/g1^6 - g2^6*t^6.16 + (g1^3*t^6.25)/g2^14 - (g1^6*t^6.33)/g2^34 + (g1^3*t^6.41)/g2^8 + (g2^27*t^6.48)/g1^6 + (3*g2^33*t^6.64)/g1^6 + (2*g2^13*t^6.72)/g1^3 + (3*g2^39*t^6.8)/g1^6 + (3*g2^19*t^6.89)/g1^3 + (2*t^6.97)/g2 + (g2^45*t^6.97)/g1^6 + (g2^25*t^7.05)/g1^3 + (2*g1^3*t^7.06)/g2^21 + g2^5*t^7.14 + (2*g1^3*t^7.22)/g2^15 + (g2^66*t^7.28)/g1^12 - (g1^6*t^7.3)/g2^35 + g2^11*t^7.3 + (g1^3*t^7.38)/g2^9 + (g2^26*t^7.45)/g1^6 - (g1^6*t^7.47)/g2^29 + (g1^3*t^7.55)/g2^3 + (4*g2^32*t^7.61)/g1^6 + (4*g2^38*t^7.78)/g1^6 + (2*g2^44*t^7.94)/g1^6 + (3*t^7.95)/g2^2 + (g2^33*t^8.01)/g1^9 + (g1^3*t^8.03)/g2^22 + 5*g2^4*t^8.11 + (2*g2^39*t^8.17)/g1^9 + (2*g1^3*t^8.19)/g2^16 + (g2^19*t^8.26)/g1^6 + 4*g2^10*t^8.27 + (3*g2^45*t^8.34)/g1^9 + (g1^3*t^8.36)/g2^10 + (2*g2^25*t^8.42)/g1^6 - (g1^6*t^8.44)/g2^30 + g2^16*t^8.44 + (5*g2^51*t^8.5)/g1^9 + (5*g2^31*t^8.59)/g1^6 - (4*g2^11*t^8.67)/g1^3 + (4*g2^57*t^8.67)/g1^9 + (4*g2^37*t^8.75)/g1^6 - (8*g2^17*t^8.83)/g1^3 + (2*g2^63*t^8.83)/g1^9 + (2*g2^43*t^8.91)/g1^6 + (g2^69*t^8.99)/g1^9 + t^8.92/(g2^3*y^2) - t^3.97/(g2*y) - t^4.95/(g2^2*y) - (g2^10*t^6.64)/(g1^3*y) - (2*g2^16*t^6.81)/(g1^3*y) - t^6.89/(g2^4*y) - (g2^22*t^6.97)/(g1^3*y) - (g2^9*t^7.62)/(g1^3*y) - (2*g2^15*t^7.78)/(g1^3*y) - t^7.86/(g2^5*y) - (g2^21*t^7.94)/(g1^3*y) + (2*g2^28*t^8.5)/(g1^6*y) + (g2^8*t^8.59)/(g1^3*y) + (2*g2^34*t^8.67)/(g1^6*y) + (g2^14*t^8.75)/(g1^3*y) + (2*g2^40*t^8.83)/(g1^6*y) - (t^3.97*y)/g2 - (t^4.95*y)/g2^2 - (g2^10*t^6.64*y)/g1^3 - (2*g2^16*t^6.81*y)/g1^3 - (t^6.89*y)/g2^4 - (g2^22*t^6.97*y)/g1^3 - (g2^9*t^7.62*y)/g1^3 - (2*g2^15*t^7.78*y)/g1^3 - (t^7.86*y)/g2^5 - (g2^21*t^7.94*y)/g1^3 + (2*g2^28*t^8.5*y)/g1^6 + (g2^8*t^8.59*y)/g1^3 + (2*g2^34*t^8.67*y)/g1^6 + (g2^14*t^8.75*y)/g1^3 + (2*g2^40*t^8.83*y)/g1^6 + (t^8.92*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
61153	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	1.4519	1.6394	0.8856	[X:[1.359], M:[0.8844, 0.9615], q:[0.5085, 0.5855], qb:[0.453, 0.53], phi:[0.3205]]	t^2.65 + 3*t^2.88 + t^3.12 + t^3.85 + 3*t^4.08 + t^4.31 + t^4.81 + 2*t^5.04 + 2*t^5.27 + t^5.31 + t^5.5 + 3*t^5.54 + 6*t^5.77 - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*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
57284	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4577	1.6478	0.8847	[X:[1.3444], M:[0.9302, 0.9634], q:[0.4722, 0.5455], qb:[0.4912, 0.5243], phi:[0.3278]]	t^2.791 + 2*t^2.89 + t^2.95 + t^2.989 + t^3.873 + t^3.973 + t^4.033 + t^4.093 + t^4.193 + t^4.857 + t^4.956 + t^5.077 + t^5.176 + t^5.453 + t^5.503 + t^5.581 + t^5.603 + t^5.673 + 2*t^5.681 + t^5.741 + 3*t^5.78 + 2*t^5.84 + 2*t^5.879 + t^5.94 + t^5.979 - 4*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y	detail