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
4544	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{8}$	0.7069	0.8759	0.8071	[M:[1.0856, 0.8717, 0.9144, 1.0428, 1.0, 0.9572, 0.9144, 0.9572], q:[0.5, 0.4144], qb:[0.5856, 0.5428], phi:[0.4893]]	[M:[[8], [-12], [-8], [4], [0], [-4], [-8], [-4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-3	t^2.615 + 2*t^2.743 + 2*t^2.872 + t^2.936 + t^3. + t^3.955 + t^4.211 + t^4.34 + 2*t^4.468 + t^4.596 + 2*t^4.725 + t^4.853 + t^4.981 + t^5.23 + 2*t^5.358 + 4*t^5.487 + t^5.551 + 4*t^5.615 + 2*t^5.679 + 3*t^5.743 + 2*t^5.808 + t^5.872 + t^5.936 - 3*t^6. - 3*t^6.128 - 2*t^6.257 - t^6.385 - t^6.513 + t^6.57 + 2*t^6.698 + 3*t^6.826 + t^6.89 + 3*t^6.955 - t^7.019 + 4*t^7.083 + t^7.147 + 5*t^7.211 + 5*t^7.34 + t^7.404 + 4*t^7.468 - t^7.532 + 3*t^7.596 + t^7.66 + 2*t^7.725 - t^7.789 + t^7.845 + t^7.909 + 2*t^7.973 - t^7.981 - t^8.045 + 4*t^8.102 - t^8.11 + 2*t^8.166 + 6*t^8.23 + 3*t^8.294 + 5*t^8.358 + 6*t^8.423 + 4*t^8.487 + 5*t^8.551 + 6*t^8.679 - 7*t^8.743 + 3*t^8.808 - 12*t^8.872 + t^8.936 - t^4.468/y - t^7.083/y - t^7.211/y - t^7.34/y - t^7.404/y + t^7.532/y + t^7.596/y + t^7.725/y + t^7.853/y + (2*t^8.358)/y + (3*t^8.487)/y + t^8.551/y + (5*t^8.615)/y + (2*t^8.679)/y + (3*t^8.743)/y + (2*t^8.808)/y + (2*t^8.872)/y + t^8.936/y - t^4.468*y - t^7.083*y - t^7.211*y - t^7.34*y - t^7.404*y + t^7.532*y + t^7.596*y + t^7.725*y + t^7.853*y + 2*t^8.358*y + 3*t^8.487*y + t^8.551*y + 5*t^8.615*y + 2*t^8.679*y + 3*t^8.743*y + 2*t^8.808*y + 2*t^8.872*y + t^8.936*y	t^2.615/g1^12 + (2*t^2.743)/g1^8 + (2*t^2.872)/g1^4 + t^2.936/g1^2 + t^3. + t^3.955/g1^17 + t^4.211/g1^9 + t^4.34/g1^5 + (2*t^4.468)/g1 + g1^3*t^4.596 + 2*g1^7*t^4.725 + g1^11*t^4.853 + g1^15*t^4.981 + t^5.23/g1^24 + (2*t^5.358)/g1^20 + (4*t^5.487)/g1^16 + t^5.551/g1^14 + (4*t^5.615)/g1^12 + (2*t^5.679)/g1^10 + (3*t^5.743)/g1^8 + (2*t^5.808)/g1^6 + t^5.872/g1^4 + t^5.936/g1^2 - 3*t^6. - 3*g1^4*t^6.128 - 2*g1^8*t^6.257 - g1^12*t^6.385 - g1^16*t^6.513 + t^6.57/g1^29 + (2*t^6.698)/g1^25 + (3*t^6.826)/g1^21 + t^6.89/g1^19 + (3*t^6.955)/g1^17 - t^7.019/g1^15 + (4*t^7.083)/g1^13 + t^7.147/g1^11 + (5*t^7.211)/g1^9 + (5*t^7.34)/g1^5 + t^7.404/g1^3 + (4*t^7.468)/g1 - g1*t^7.532 + 3*g1^3*t^7.596 + g1^5*t^7.66 + 2*g1^7*t^7.725 - g1^9*t^7.789 + t^7.845/g1^36 + t^7.909/g1^34 + (2*t^7.973)/g1^32 - g1^15*t^7.981 - g1^17*t^8.045 + (4*t^8.102)/g1^28 - g1^19*t^8.11 + (2*t^8.166)/g1^26 + (6*t^8.23)/g1^24 + (3*t^8.294)/g1^22 + (5*t^8.358)/g1^20 + (6*t^8.423)/g1^18 + (4*t^8.487)/g1^16 + (5*t^8.551)/g1^14 + (6*t^8.679)/g1^10 - (7*t^8.743)/g1^8 + (3*t^8.808)/g1^6 - (12*t^8.872)/g1^4 + t^8.936/g1^2 - t^4.468/(g1*y) - t^7.083/(g1^13*y) - t^7.211/(g1^9*y) - t^7.34/(g1^5*y) - t^7.404/(g1^3*y) + (g1*t^7.532)/y + (g1^3*t^7.596)/y + (g1^7*t^7.725)/y + (g1^11*t^7.853)/y + (2*t^8.358)/(g1^20*y) + (3*t^8.487)/(g1^16*y) + t^8.551/(g1^14*y) + (5*t^8.615)/(g1^12*y) + (2*t^8.679)/(g1^10*y) + (3*t^8.743)/(g1^8*y) + (2*t^8.808)/(g1^6*y) + (2*t^8.872)/(g1^4*y) + t^8.936/(g1^2*y) - (t^4.468*y)/g1 - (t^7.083*y)/g1^13 - (t^7.211*y)/g1^9 - (t^7.34*y)/g1^5 - (t^7.404*y)/g1^3 + g1*t^7.532*y + g1^3*t^7.596*y + g1^7*t^7.725*y + g1^11*t^7.853*y + (2*t^8.358*y)/g1^20 + (3*t^8.487*y)/g1^16 + (t^8.551*y)/g1^14 + (5*t^8.615*y)/g1^12 + (2*t^8.679*y)/g1^10 + (3*t^8.743*y)/g1^8 + (2*t^8.808*y)/g1^6 + (2*t^8.872*y)/g1^4 + (t^8.936*y)/g1^2

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
6041	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$	0.7277	0.9165	0.794	[M:[1.083, 0.8755, 0.917, 1.0415, 1.0, 0.9585, 0.917, 0.9585, 0.6763], q:[0.5, 0.417], qb:[0.583, 0.5415], phi:[0.4896]]	t^2.029 + t^2.627 + 2*t^2.751 + 2*t^2.876 + t^2.938 + t^3. + t^4.058 + t^4.22 + t^4.344 + 2*t^4.469 + t^4.593 + t^4.656 + 2*t^4.718 + 2*t^4.78 + t^4.842 + 2*t^4.905 + 2*t^4.967 + t^5.029 + t^5.253 + 2*t^5.378 + 4*t^5.502 + t^5.564 + 4*t^5.627 + 2*t^5.689 + 3*t^5.751 + 2*t^5.813 + t^5.876 + t^5.938 - 3*t^6. - t^4.469/y - t^4.469*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
2501	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$	0.7032	0.8682	0.8099	[M:[1.0751, 0.8874, 0.9249, 1.0375, 1.0, 0.9625, 0.9249], q:[0.5, 0.4249], qb:[0.5751, 0.5375], phi:[0.4906]]	t^2.662 + 2*t^2.775 + t^2.887 + t^2.944 + t^3. + t^3.113 + t^4.021 + t^4.247 + t^4.359 + 2*t^4.472 + t^4.584 + 2*t^4.697 + t^4.81 + t^4.922 + t^5.324 + 2*t^5.437 + 3*t^5.55 + t^5.606 + 2*t^5.662 + 2*t^5.719 + 2*t^5.775 + t^5.831 + 2*t^5.887 + t^5.944 - 2*t^6. - t^4.472/y - t^4.472*y	detail