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
58051	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.1363	1.2702	0.8946	[X:[1.5429], M:[0.9141, 0.6859], q:[0.8766, 0.4192], qb:[0.8948, 0.4381], phi:[0.2285]]	[X:[[0, 2]], M:[[0, -4], [-1, -4]], q:[[-1, 1], [0, 4]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$	${}M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1	2*t^2.06 + t^2.57 + t^2.74 + 2*t^3.94 + 2*t^4.11 + t^4.12 + 3*t^4.63 + 2*t^4.8 + t^5.14 + 2*t^5.31 + t^5.48 + 2*t^5.83 + t^6. + 4*t^6.17 + 2*t^6.52 + 6*t^6.69 + 3*t^6.86 + 3*t^7.2 + 2*t^7.37 + 2*t^7.54 + t^7.72 + 6*t^7.89 + 2*t^8.06 + 6*t^8.23 + 2*t^8.4 + 2*t^8.57 + t^8.75 + 3*t^8.91 + t^8.92 + t^8.06/y^2 - (2*t^8.74)/y^2 - t^3.69/y - t^4.37/y - (2*t^5.74)/y - t^6.26/y - (3*t^6.43)/y + t^7.63/y - t^7.8/y + t^8.31/y - t^8.32/y - (2*t^8.48)/y - (3*t^8.49)/y - t^8.83/y - t^3.69*y - t^4.37*y - 2*t^5.74*y - t^6.26*y - 3*t^6.43*y + t^7.63*y - t^7.8*y + t^8.31*y - t^8.32*y - 2*t^8.48*y - 3*t^8.49*y - t^8.83*y + t^8.06*y^2 - 2*t^8.74*y^2	t^2.06/(g1*g2^4) + t^2.06/g2^3 + g2^5*t^2.57 + t^2.74/g2^4 + (g2^2*t^3.94)/g1 + g2^3*t^3.94 + t^4.11/(g1*g2^7) + t^4.11/g2^6 + t^4.12/(g1^2*g2^8) + (g2*t^4.63)/g1 + 2*g2^2*t^4.63 + t^4.8/(g1*g2^8) + t^4.8/g2^7 + g2^10*t^5.14 + 2*g2*t^5.31 + t^5.48/g2^8 + (g2^8*t^5.83)/g1 + g2^9*t^5.83 - t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + t^6.17/(g1^3*g2^12) + t^6.17/(g1^2*g2^11) + t^6.17/(g1*g2^10) + t^6.17/g2^9 + (g2^7*t^6.52)/g1 + g2^8*t^6.52 + t^6.69/(g1^2*g2^3) + (3*t^6.69)/(g1*g2^2) + (2*t^6.69)/g2 + t^6.86/(g1^2*g2^12) + t^6.86/(g1*g2^11) + t^6.86/g2^10 + (g2^6*t^7.2)/g1 + 2*g2^7*t^7.2 + t^7.37/(g1*g2^3) + (2*t^7.37)/g2^2 - (g1*t^7.37)/g2 + t^7.54/(g1*g2^12) + t^7.54/g2^11 + g2^15*t^7.72 + (2*g2^4*t^7.89)/g1^2 + (2*g2^5*t^7.89)/g1 + 2*g2^6*t^7.89 + t^8.06/(g1^3*g2^6) + t^8.06/(g1^2*g2^5) - t^8.06/(g1*g2^4) + (2*t^8.06)/g2^3 - (g1*t^8.06)/g2^2 + t^8.23/(g1^4*g2^16) + t^8.23/(g1^3*g2^15) + t^8.23/(g1^2*g2^14) + t^8.23/(g1*g2^13) + (2*t^8.23)/g2^12 + (g2^13*t^8.4)/g1 + g2^14*t^8.4 + (g2^3*t^8.57)/g1^2 + (2*g2^4*t^8.57)/g1 - g2^5*t^8.57 + (3*t^8.74)/(g1^2*g2^6) - (2*t^8.74)/g2^4 - (g1*t^8.74)/g2^3 + t^8.75/(g1^3*g2^7) + t^8.91/(g1^2*g2^15) + t^8.91/(g1*g2^14) + t^8.91/g2^13 + t^8.92/(g1^3*g2^16) + t^8.06/(g2^3*y^2) - t^8.74/(g1*g2^5*y^2) - t^8.74/(g2^4*y^2) - t^3.69/(g2*y) - t^4.37/(g2^2*y) - t^5.74/(g1*g2^5*y) - t^5.74/(g2^4*y) - (g2^4*t^6.26)/y - t^6.43/(g1*g2^6*y) - (2*t^6.43)/(g2^5*y) + t^7.11/(g1*g2^7*y) - t^7.11/(g2^6*y) + (g2^2*t^7.63)/y - t^7.8/(g1^2*g2^9*y) + (g1*g2^2*t^8.31)/y - t^8.32/(g1*y) - (2*t^8.48)/(g2^8*y) - t^8.49/(g1^2*g2^10*y) - (2*t^8.49)/(g1*g2^9*y) - (g2^9*t^8.83)/y - (t^3.69*y)/g2 - (t^4.37*y)/g2^2 - (t^5.74*y)/(g1*g2^5) - (t^5.74*y)/g2^4 - g2^4*t^6.26*y - (t^6.43*y)/(g1*g2^6) - (2*t^6.43*y)/g2^5 + (t^7.11*y)/(g1*g2^7) - (t^7.11*y)/g2^6 + g2^2*t^7.63*y - (t^7.8*y)/(g1^2*g2^9) + g1*g2^2*t^8.31*y - (t^8.32*y)/g1 - (2*t^8.48*y)/g2^8 - (t^8.49*y)/(g1^2*g2^10) - (2*t^8.49*y)/(g1*g2^9) - g2^9*t^8.83*y + (t^8.06*y^2)/g2^3 - (t^8.74*y^2)/(g1*g2^5) - (t^8.74*y^2)/g2^4

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
61204	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$	1.1156	1.2301	0.9069	[X:[1.5419], M:[0.9161, 0.6875, 1.3129], q:[0.8757, 0.4172], qb:[0.8953, 0.4376], phi:[0.229]]	t^2.06 + t^2.56 + t^2.75 + 3*t^3.94 + t^4.12 + 2*t^4.63 + t^4.81 + t^5.13 + 2*t^5.31 + t^5.5 + 2*t^5.82 - t^3.69/y - t^4.37/y - t^5.75/y - t^3.69*y - t^4.37*y - t^5.75*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
57323	SU3adj1nf2	${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.1157	1.2303	0.9068	[X:[1.5413], M:[0.9173], q:[0.8853, 0.416], qb:[0.8853, 0.4373], phi:[0.2293]]	t^2.064 + t^2.56 + t^2.752 + t^3.904 + t^3.936 + t^3.968 + t^4.128 + 2*t^4.624 + t^4.816 + t^5.12 + 2*t^5.312 + t^5.504 + t^5.808 + t^5.84 + t^5.968 - t^6. - t^3.688/y - t^4.376/y - t^5.752/y - t^3.688*y - t^4.376*y - t^5.752*y	detail