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
56944	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$	0.6452	0.8111	0.7955	[M:[1.037, 0.7685, 1.1543, 0.7315, 0.8457, 1.0, 0.9228], q:[0.6744, 0.2886], qb:[0.5571, 0.7886], phi:[0.4228]]	[M:[[-12], [-6], [4], [6], [-4], [0], [-2]], q:[[11], [1]], qb:[[-5], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{7}$	${}$	-2	t^2.195 + t^2.305 + 2*t^2.537 + t^2.768 + t^3. + t^3.111 + t^4.037 + t^4.158 + 2*t^4.389 + t^4.5 + 2*t^4.611 + 2*t^4.732 + t^4.842 + 2*t^4.963 + 4*t^5.074 + 4*t^5.305 + t^5.315 + t^5.416 + 3*t^5.537 + t^5.648 + t^5.879 - 2*t^6. + t^6.222 + t^6.232 - t^6.463 + t^6.574 + 2*t^6.584 + 2*t^6.695 + 2*t^6.805 + t^6.916 + 3*t^6.926 + t^7.037 + 4*t^7.148 + 3*t^7.158 + 3*t^7.268 + 3*t^7.379 + 4*t^7.5 + t^7.51 + 7*t^7.611 - t^7.621 + 2*t^7.722 + 2*t^7.732 + 5*t^7.842 + t^7.852 + t^7.953 - 2*t^7.963 + 6*t^8.074 + t^8.084 + 2*t^8.185 - 4*t^8.195 - t^8.305 + t^8.315 + 2*t^8.416 + t^8.426 + t^8.527 - 4*t^8.537 + 2*t^8.648 - t^8.658 + t^8.759 - 4*t^8.768 + 2*t^8.778 - t^8.879 + t^8.99 - t^4.268/y - t^6.463/y - t^6.574/y - t^6.805/y - t^7.037/y + t^7.158/y - t^7.379/y + (2*t^7.5)/y + (3*t^7.732)/y + (2*t^7.842)/y + (2*t^7.963)/y + (3*t^8.074)/y + t^8.195/y + (4*t^8.305)/y + t^8.416/y + (2*t^8.537)/y + (2*t^8.648)/y - t^8.658/y - t^4.268*y - t^6.463*y - t^6.574*y - t^6.805*y - t^7.037*y + t^7.158*y - t^7.379*y + 2*t^7.5*y + 3*t^7.732*y + 2*t^7.842*y + 2*t^7.963*y + 3*t^8.074*y + t^8.195*y + 4*t^8.305*y + t^8.416*y + 2*t^8.537*y + 2*t^8.648*y - t^8.658*y	g1^6*t^2.195 + t^2.305/g1^6 + (2*t^2.537)/g1^4 + t^2.768/g1^2 + t^3. + t^3.111/g1^12 + t^4.037/g1^4 + g1^10*t^4.158 + 2*g1^12*t^4.389 + t^4.5 + (2*t^4.611)/g1^12 + 2*g1^2*t^4.732 + t^4.842/g1^10 + 2*g1^4*t^4.963 + (4*t^5.074)/g1^8 + (4*t^5.305)/g1^6 + g1^20*t^5.315 + t^5.416/g1^18 + (3*t^5.537)/g1^4 + t^5.648/g1^16 + t^5.879/g1^14 - 2*t^6. + t^6.222/g1^24 + g1^2*t^6.232 - g1^4*t^6.463 + t^6.574/g1^8 + 2*g1^18*t^6.584 + 2*g1^6*t^6.695 + (2*t^6.805)/g1^6 + t^6.916/g1^18 + 3*g1^8*t^6.926 + t^7.037/g1^4 + (4*t^7.148)/g1^16 + 3*g1^10*t^7.158 + (3*t^7.268)/g1^2 + (3*t^7.379)/g1^14 + 4*t^7.5 + g1^26*t^7.51 + (7*t^7.611)/g1^12 - g1^14*t^7.621 + (2*t^7.722)/g1^24 + 2*g1^2*t^7.732 + (5*t^7.842)/g1^10 + g1^16*t^7.852 + t^7.953/g1^22 - 2*g1^4*t^7.963 + (6*t^8.074)/g1^8 + g1^18*t^8.084 + (2*t^8.185)/g1^20 - 4*g1^6*t^8.195 - t^8.305/g1^6 + g1^20*t^8.315 + (2*t^8.416)/g1^18 + g1^8*t^8.426 + t^8.527/g1^30 - (4*t^8.537)/g1^4 + (2*t^8.648)/g1^16 - g1^10*t^8.658 + t^8.759/g1^28 - (4*t^8.768)/g1^2 + 2*g1^24*t^8.778 - t^8.879/g1^14 + t^8.99/g1^26 - t^4.268/(g1^2*y) - (g1^4*t^6.463)/y - t^6.574/(g1^8*y) - t^6.805/(g1^6*y) - t^7.037/(g1^4*y) + (g1^10*t^7.158)/y - t^7.379/(g1^14*y) + (2*t^7.5)/y + (3*g1^2*t^7.732)/y + (2*t^7.842)/(g1^10*y) + (2*g1^4*t^7.963)/y + (3*t^8.074)/(g1^8*y) + (g1^6*t^8.195)/y + (4*t^8.305)/(g1^6*y) + t^8.416/(g1^18*y) + (2*t^8.537)/(g1^4*y) + (2*t^8.648)/(g1^16*y) - (g1^10*t^8.658)/y - (t^4.268*y)/g1^2 - g1^4*t^6.463*y - (t^6.574*y)/g1^8 - (t^6.805*y)/g1^6 - (t^7.037*y)/g1^4 + g1^10*t^7.158*y - (t^7.379*y)/g1^14 + 2*t^7.5*y + 3*g1^2*t^7.732*y + (2*t^7.842*y)/g1^10 + 2*g1^4*t^7.963*y + (3*t^8.074*y)/g1^8 + g1^6*t^8.195*y + (4*t^8.305*y)/g1^6 + (t^8.416*y)/g1^18 + (2*t^8.537*y)/g1^4 + (2*t^8.648*y)/g1^16 - g1^10*t^8.658*y

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
58653	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$	0.6443	0.8095	0.796	[M:[1.0714, 0.7857, 1.1429, 0.7143, 0.8571, 1.0, 0.9286], q:[0.6429, 0.2857], qb:[0.5714, 0.7857], phi:[0.4286]]	t^2.143 + t^2.357 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^4.071 + 2*t^4.286 + t^4.5 + 4*t^4.714 + 3*t^4.929 + 5*t^5.143 + 4*t^5.357 + 4*t^5.571 + t^5.786 - t^6. - t^4.286/y - t^4.286*y	detail	{a: 56577/87808, c: 71081/87808, M1: 15/14, M2: 11/14, M3: 8/7, M4: 5/7, M5: 6/7, M6: 1, M7: 13/14, q1: 9/14, q2: 2/7, qb1: 4/7, qb2: 11/14, phi1: 3/7}

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
55288	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$	0.6382	0.7991	0.7986	[M:[1.0473, 0.7736, 1.1509, 0.7264, 0.8491, 1.0], q:[0.665, 0.2877], qb:[0.5614, 0.7877], phi:[0.4245]]	t^2.179 + t^2.321 + 2*t^2.547 + t^3. + t^3.142 + t^3.226 + t^4.047 + t^4.132 + 2*t^4.358 + t^4.5 + 2*t^4.642 + 2*t^4.726 + t^4.868 + t^4.953 + 3*t^5.095 + t^5.264 + 2*t^5.321 + t^5.405 + t^5.463 + 3*t^5.547 + t^5.689 + t^5.774 - 2*t^6. - t^4.274/y - t^4.274*y	detail