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
2424	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6712	0.8493	0.7903	[X:[1.557], M:[0.443, 1.1857, 0.7785, 0.8859, 0.8143, 0.7785, 0.7427], q:[0.7964, 0.7606], qb:[0.4609, 0.3535], phi:[0.4072]]	[X:[[12]], M:[[-12], [4], [6], [-24], [-4], [6], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.228 + 2*t^2.336 + 2*t^2.443 + t^2.658 + t^3.342 + t^3.45 + t^3.987 + t^4.456 + 3*t^4.564 + 6*t^4.671 + 3*t^4.779 + 5*t^4.886 + 2*t^4.993 + t^5.101 + t^5.316 + t^5.57 + 2*t^5.678 + 5*t^5.785 + t^5.893 - 3*t^6. + 2*t^6.43 + t^6.644 + 2*t^6.684 + 4*t^6.792 + 6*t^6.899 + 9*t^7.007 + 8*t^7.114 + 5*t^7.221 + 9*t^7.329 + 2*t^7.436 + t^7.544 + 2*t^7.651 + t^7.758 + t^7.799 + 3*t^7.906 + 2*t^7.973 + 7*t^8.013 + 6*t^8.121 + t^8.228 - 6*t^8.336 - 7*t^8.443 - 3*t^8.55 - 3*t^8.658 + 4*t^8.873 + 2*t^8.913 - t^4.221/y - t^6.45/y - (2*t^6.557)/y - t^6.664/y - t^6.879/y + (3*t^7.564)/y + (3*t^7.671)/y + (5*t^7.779)/y + (4*t^7.886)/y + (3*t^7.993)/y + (2*t^8.101)/y + t^8.57/y + (2*t^8.678)/y + (2*t^8.785)/y - (2*t^8.893)/y - t^4.221*y - t^6.45*y - 2*t^6.557*y - t^6.664*y - t^6.879*y + 3*t^7.564*y + 3*t^7.671*y + 5*t^7.779*y + 4*t^7.886*y + 3*t^7.993*y + 2*t^8.101*y + t^8.57*y + 2*t^8.678*y + 2*t^8.785*y - 2*t^8.893*y	g1^16*t^2.228 + 2*g1^6*t^2.336 + (2*t^2.443)/g1^4 + t^2.658/g1^24 + g1^24*t^3.342 + g1^14*t^3.45 + t^3.987/g1^36 + g1^32*t^4.456 + 3*g1^22*t^4.564 + 6*g1^12*t^4.671 + 3*g1^2*t^4.779 + (5*t^4.886)/g1^8 + (2*t^4.993)/g1^18 + t^5.101/g1^28 + t^5.316/g1^48 + g1^40*t^5.57 + 2*g1^30*t^5.678 + 5*g1^20*t^5.785 + g1^10*t^5.893 - 3*t^6. + (2*t^6.43)/g1^40 + t^6.644/g1^60 + 2*g1^48*t^6.684 + 4*g1^38*t^6.792 + 6*g1^28*t^6.899 + 9*g1^18*t^7.007 + 8*g1^8*t^7.114 + (5*t^7.221)/g1^2 + (9*t^7.329)/g1^12 + (2*t^7.436)/g1^22 + t^7.544/g1^32 + (2*t^7.651)/g1^42 + t^7.758/g1^52 + g1^56*t^7.799 + 3*g1^46*t^7.906 + (2*t^7.973)/g1^72 + 7*g1^36*t^8.013 + 6*g1^26*t^8.121 + g1^16*t^8.228 - 6*g1^6*t^8.336 - (7*t^8.443)/g1^4 - (3*t^8.55)/g1^14 - (3*t^8.658)/g1^24 + (4*t^8.873)/g1^44 + 2*g1^64*t^8.913 - t^4.221/(g1^2*y) - (g1^14*t^6.45)/y - (2*g1^4*t^6.557)/y - t^6.664/(g1^6*y) - t^6.879/(g1^26*y) + (3*g1^22*t^7.564)/y + (3*g1^12*t^7.671)/y + (5*g1^2*t^7.779)/y + (4*t^7.886)/(g1^8*y) + (3*t^7.993)/(g1^18*y) + (2*t^8.101)/(g1^28*y) + (g1^40*t^8.57)/y + (2*g1^30*t^8.678)/y + (2*g1^20*t^8.785)/y - (2*g1^10*t^8.893)/y - (t^4.221*y)/g1^2 - g1^14*t^6.45*y - 2*g1^4*t^6.557*y - (t^6.664*y)/g1^6 - (t^6.879*y)/g1^26 + 3*g1^22*t^7.564*y + 3*g1^12*t^7.671*y + 5*g1^2*t^7.779*y + (4*t^7.886*y)/g1^8 + (3*t^7.993*y)/g1^18 + (2*t^8.101*y)/g1^28 + g1^40*t^8.57*y + 2*g1^30*t^8.678*y + 2*g1^20*t^8.785*y - 2*g1^10*t^8.893*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
4468	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{2}\tilde{q}_{2}$	0.6829	0.869	0.7858	[X:[1.5741], M:[0.4259, 1.1914, 0.7871, 0.8518, 0.8086, 0.7871, 0.7655, 0.8518], q:[0.7978, 0.7763], qb:[0.4367, 0.372], phi:[0.4043]]	t^2.296 + 2*t^2.361 + 2*t^2.426 + 2*t^2.555 + t^3.509 + t^3.833 + t^4.593 + 3*t^4.658 + 6*t^4.722 + 3*t^4.787 + 6*t^4.852 + 4*t^4.916 + 3*t^4.981 + 3*t^5.111 + 3*t^5.871 + t^5.935 - 4*t^6. - t^4.213/y - t^4.213*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
1354	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.652	0.8141	0.8009	[X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.8122, 0.7817], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]]	2*t^2.345 + 2*t^2.437 + t^2.62 + t^3.38 + t^3.472 + t^3.747 + t^3.93 + t^4.599 + 4*t^4.69 + 3*t^4.782 + 4*t^4.873 + 2*t^4.965 + t^5.056 + t^5.24 + t^5.725 + 5*t^5.817 + t^5.908 - 3*t^6. - t^4.218/y - t^4.218*y	detail