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
4052	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{3}M_{8}$	0.709	0.8935	0.7935	[M:[1.0223, 1.1166, 0.9528, 0.675, 0.8834, 0.7444, 0.8139, 1.0472], q:[0.7792, 0.4069], qb:[0.5708, 0.4764], phi:[0.4417]]	[M:[[32], [-12], [22], [-18], [12], [-8], [2], [-22]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.025 + t^2.233 + t^2.442 + 2*t^2.65 + t^3.067 + t^3.142 + t^3.767 + 2*t^4.05 + t^4.183 + 2*t^4.258 + 3*t^4.467 + 3*t^4.675 + t^4.75 + 3*t^4.883 + 3*t^5.092 + t^5.166 + 4*t^5.3 + t^5.375 + t^5.583 + t^5.717 + 2*t^5.792 - 2*t^6. + 2*t^6.075 + t^6.134 + t^6.208 + 3*t^6.283 + 2*t^6.417 + 4*t^6.492 + 6*t^6.7 + t^6.775 + 2*t^6.834 + 6*t^6.908 + t^6.983 - t^7.042 + 5*t^7.117 + 3*t^7.191 + t^7.25 + 6*t^7.325 + 3*t^7.4 + 5*t^7.533 + t^7.608 + 3*t^7.742 + 2*t^7.817 + t^7.891 + 5*t^7.95 - t^8.025 + 2*t^8.1 - t^8.233 + 3*t^8.308 + 3*t^8.367 - t^8.442 + 6*t^8.516 + t^8.575 - 4*t^8.65 + 6*t^8.725 + t^8.784 + 2*t^8.8 + 9*t^8.933 - t^4.325/y - t^6.35/y - t^6.558/y - t^6.767/y - t^6.975/y + (2*t^7.258)/y - t^7.392/y + t^7.467/y + (4*t^7.675)/y + (3*t^7.883)/y + (4*t^8.092)/y + t^8.166/y + (3*t^8.3)/y + t^8.508/y + (2*t^8.717)/y + t^8.792/y - t^4.325*y - t^6.35*y - t^6.558*y - t^6.767*y - t^6.975*y + 2*t^7.258*y - t^7.392*y + t^7.467*y + 4*t^7.675*y + 3*t^7.883*y + 4*t^8.092*y + t^8.166*y + 3*t^8.3*y + t^8.508*y + 2*t^8.717*y + t^8.792*y	t^2.025/g1^18 + t^2.233/g1^8 + g1^2*t^2.442 + 2*g1^12*t^2.65 + g1^32*t^3.067 + t^3.142/g1^22 + g1^8*t^3.767 + (2*t^4.05)/g1^36 + g1^28*t^4.183 + (2*t^4.258)/g1^26 + (3*t^4.467)/g1^16 + (3*t^4.675)/g1^6 + t^4.75/g1^60 + 3*g1^4*t^4.883 + 3*g1^14*t^5.092 + t^5.166/g1^40 + 4*g1^24*t^5.3 + t^5.375/g1^30 + t^5.583/g1^20 + g1^44*t^5.717 + (2*t^5.792)/g1^10 - 2*t^6. + (2*t^6.075)/g1^54 + g1^64*t^6.134 + g1^10*t^6.208 + (3*t^6.283)/g1^44 + 2*g1^20*t^6.417 + (4*t^6.492)/g1^34 + (6*t^6.7)/g1^24 + t^6.775/g1^78 + 2*g1^40*t^6.834 + (6*t^6.908)/g1^14 + t^6.983/g1^68 - g1^50*t^7.042 + (5*t^7.117)/g1^4 + (3*t^7.191)/g1^58 + g1^60*t^7.25 + 6*g1^6*t^7.325 + (3*t^7.4)/g1^48 + 5*g1^16*t^7.533 + t^7.608/g1^38 + 3*g1^26*t^7.742 + (2*t^7.817)/g1^28 + t^7.891/g1^82 + 5*g1^36*t^7.95 - t^8.025/g1^18 + (2*t^8.1)/g1^72 - t^8.233/g1^8 + (3*t^8.308)/g1^62 + 3*g1^56*t^8.367 - g1^2*t^8.442 + (6*t^8.516)/g1^52 + g1^66*t^8.575 - 4*g1^12*t^8.65 + (6*t^8.725)/g1^42 + g1^76*t^8.784 + (2*t^8.8)/g1^96 + (9*t^8.933)/g1^32 - (g1^6*t^4.325)/y - t^6.35/(g1^12*y) - t^6.558/(g1^2*y) - (g1^8*t^6.767)/y - (g1^18*t^6.975)/y + (2*t^7.258)/(g1^26*y) - (g1^38*t^7.392)/y + t^7.467/(g1^16*y) + (4*t^7.675)/(g1^6*y) + (3*g1^4*t^7.883)/y + (4*g1^14*t^8.092)/y + t^8.166/(g1^40*y) + (3*g1^24*t^8.3)/y + (g1^34*t^8.508)/y + (2*g1^44*t^8.717)/y + t^8.792/(g1^10*y) - g1^6*t^4.325*y - (t^6.35*y)/g1^12 - (t^6.558*y)/g1^2 - g1^8*t^6.767*y - g1^18*t^6.975*y + (2*t^7.258*y)/g1^26 - g1^38*t^7.392*y + (t^7.467*y)/g1^16 + (4*t^7.675*y)/g1^6 + 3*g1^4*t^7.883*y + 4*g1^14*t^8.092*y + (t^8.166*y)/g1^40 + 3*g1^24*t^8.3*y + g1^34*t^8.508*y + 2*g1^44*t^8.717*y + (t^8.792*y)/g1^10

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
5611	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$	0.7282	0.929	0.7839	[M:[1.027, 1.1149, 0.956, 0.6723, 0.8851, 0.7433, 0.8142, 1.044, 0.7433], q:[0.7787, 0.4071], qb:[0.5659, 0.478], phi:[0.4426]]	t^2.017 + 2*t^2.23 + t^2.443 + 2*t^2.655 + t^3.081 + t^3.132 + 2*t^4.034 + t^4.196 + 3*t^4.247 + 5*t^4.46 + 4*t^4.672 + t^4.723 + 5*t^4.885 + 3*t^5.098 + t^5.149 + 5*t^5.311 + 2*t^5.362 + t^5.574 + t^5.736 + t^5.787 - 3*t^6. - t^4.328/y - t^4.328*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
1653	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$	0.7143	0.9018	0.7921	[M:[0.9912, 1.1283, 0.9315, 0.6924, 0.8717, 0.7522, 0.812], q:[0.7821, 0.406], qb:[0.6028, 0.4657], phi:[0.4359]]	t^2.077 + t^2.257 + t^2.436 + 2*t^2.615 + t^2.794 + t^2.974 + t^3.743 + t^4.102 + 2*t^4.155 + 2*t^4.334 + 3*t^4.513 + 3*t^4.692 + 4*t^4.872 + t^4.924 + 4*t^5.051 + 5*t^5.23 + 2*t^5.409 + 2*t^5.589 + t^5.768 + t^5.947 - 2*t^6. - t^4.308/y - t^4.308*y	detail