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
2999	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.5941	0.7418	0.8009	[X:[1.5908, 1.3633], M:[1.0, 0.6367, 0.4092, 1.2275, 0.7725, 0.6825], q:[0.6817, 0.3183], qb:[0.9092, 0.4541], phi:[0.4092]]	[X:[[1], [4]], M:[[0], [-4], [-1], [-3], [3], [-9]], q:[[2], [-2]], qb:[[-1], [5]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$	0	t^2.048 + t^2.317 + t^2.455 + t^3. + t^3.138 + t^3.407 + t^3.545 + t^3.683 + t^4.09 + t^4.095 + t^4.365 + t^4.503 + t^4.635 + 2*t^4.772 + t^4.91 + t^5.048 + t^5.185 + t^5.317 + 2*t^5.455 + t^5.593 + t^5.725 + t^5.73 + t^5.862 + 2*t^6.138 + t^6.143 + t^6.275 + t^6.407 + t^6.413 + t^6.545 + t^6.55 + t^6.683 + t^6.815 + 2*t^6.82 + t^6.952 + t^6.958 + t^7.09 + t^7.095 + t^7.228 + t^7.233 + 2*t^7.365 + 2*t^7.503 + t^7.64 + 2*t^7.772 + t^7.778 + t^7.91 + t^8.042 + 2*t^8.18 + 2*t^8.185 + t^8.19 - t^8.317 + t^8.323 + t^8.455 + t^8.46 + t^8.593 + t^8.598 + t^8.73 + 2*t^8.868 - t^4.228/y - t^6.275/y - t^6.683/y + t^7.365/y + t^7.503/y + (2*t^7.772)/y + t^8.048/y + t^8.18/y + t^8.185/y + t^8.317/y - t^8.323/y + (3*t^8.455)/y + (2*t^8.593)/y + t^8.725/y + (2*t^8.862)/y - t^4.228*y - t^6.275*y - t^6.683*y + t^7.365*y + t^7.503*y + 2*t^7.772*y + t^8.048*y + t^8.18*y + t^8.185*y + t^8.317*y - t^8.323*y + 3*t^8.455*y + 2*t^8.593*y + t^8.725*y + 2*t^8.862*y	t^2.048/g1^9 + g1^3*t^2.317 + t^2.455/g1^2 + t^3. + t^3.138/g1^5 + g1^7*t^3.407 + g1^2*t^3.545 + t^3.683/g1^3 + g1^4*t^4.09 + t^4.095/g1^18 + t^4.365/g1^6 + t^4.503/g1^11 + g1^6*t^4.635 + 2*g1*t^4.772 + t^4.91/g1^4 + t^5.048/g1^9 + t^5.185/g1^14 + g1^3*t^5.317 + (2*t^5.455)/g1^2 + t^5.593/g1^7 + g1^10*t^5.725 + t^5.73/g1^12 + g1^5*t^5.862 + (2*t^6.138)/g1^5 + t^6.143/g1^27 + t^6.275/g1^10 + g1^7*t^6.407 + t^6.413/g1^15 + g1^2*t^6.545 + t^6.55/g1^20 + t^6.683/g1^3 + g1^14*t^6.815 + (2*t^6.82)/g1^8 + g1^9*t^6.952 + t^6.958/g1^13 + g1^4*t^7.09 + t^7.095/g1^18 + t^7.228/g1 + t^7.233/g1^23 + (2*t^7.365)/g1^6 + (2*t^7.503)/g1^11 + t^7.64/g1^16 + 2*g1*t^7.772 + t^7.778/g1^21 + t^7.91/g1^4 + g1^13*t^8.042 + 2*g1^8*t^8.18 + (2*t^8.185)/g1^14 + t^8.19/g1^36 - g1^3*t^8.317 + t^8.323/g1^19 + t^8.455/g1^2 + t^8.46/g1^24 + t^8.593/g1^7 + t^8.598/g1^29 + t^8.73/g1^12 + (2*t^8.868)/g1^17 - t^4.228/(g1*y) - t^6.275/(g1^10*y) - t^6.683/(g1^3*y) + t^7.365/(g1^6*y) + t^7.503/(g1^11*y) + (2*g1*t^7.772)/y + t^8.048/(g1^9*y) + (g1^8*t^8.18)/y + t^8.185/(g1^14*y) + (g1^3*t^8.317)/y - t^8.323/(g1^19*y) + (3*t^8.455)/(g1^2*y) + (2*t^8.593)/(g1^7*y) + (g1^10*t^8.725)/y + (2*g1^5*t^8.862)/y - (t^4.228*y)/g1 - (t^6.275*y)/g1^10 - (t^6.683*y)/g1^3 + (t^7.365*y)/g1^6 + (t^7.503*y)/g1^11 + 2*g1*t^7.772*y + (t^8.048*y)/g1^9 + g1^8*t^8.18*y + (t^8.185*y)/g1^14 + g1^3*t^8.317*y - (t^8.323*y)/g1^19 + (3*t^8.455*y)/g1^2 + (2*t^8.593*y)/g1^7 + g1^10*t^8.725*y + 2*g1^5*t^8.862*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
3626	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$	0.6095	0.769	0.7926	[X:[1.592, 1.3682], M:[1.0, 0.6318, 0.408, 1.2239, 0.7761, 0.6716, 0.8159], q:[0.6841, 0.3159], qb:[0.908, 0.4602], phi:[0.408]]	t^2.015 + t^2.328 + 2*t^2.448 + t^3. + t^3.119 + t^3.433 + t^3.672 + t^4.029 + t^4.105 + t^4.343 + 2*t^4.462 + t^4.657 + 3*t^4.776 + 3*t^4.895 + t^5.015 + t^5.134 + t^5.328 + 3*t^5.448 + t^5.567 + t^5.686 + t^5.761 + t^5.881 - t^6. - t^4.224/y - t^4.224*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
1952	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$	0.5734	0.7016	0.8172	[X:[1.5896, 1.3583], M:[1.0, 0.6417, 0.4104, 1.2312, 0.7688], q:[0.6792, 0.3208], qb:[0.9104, 0.4479], phi:[0.4104]]	t^2.306 + t^2.462 + t^3. + t^3.156 + t^3.381 + t^3.538 + t^3.694 + t^3.919 + t^4.075 + t^4.613 + 2*t^4.769 + t^4.925 + t^5.306 + t^5.462 + t^5.688 + t^5.844 - t^4.231/y - t^4.231*y	detail