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
4701	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.6835	0.8746	0.7815	[M:[1.0571, 0.8737, 1.1263, 0.8045, 1.1955, 0.782, 0.8045, 0.7128], q:[0.506, 0.4368], qb:[0.3677, 0.7586], phi:[0.4827]]	[M:[[-38], [14], [-14], [-10], [10], [40], [-10], [16]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{8}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.138 + t^2.346 + 2*t^2.414 + t^2.621 + t^2.896 + t^3.171 + t^3.379 + t^3.794 + 2*t^4.069 + 2*t^4.277 + 2*t^4.484 + 2*t^4.552 + t^4.692 + 3*t^4.759 + 3*t^4.827 + t^4.967 + 3*t^5.035 + 2*t^5.242 + 3*t^5.31 + 3*t^5.517 + t^5.585 + t^5.725 + 2*t^5.792 + t^5.932 - 2*t^6. + t^6.068 + t^6.14 + t^6.208 + t^6.343 + 4*t^6.415 + 2*t^6.483 + t^6.55 + 3*t^6.623 + 5*t^6.69 - t^6.758 + 2*t^6.83 + 5*t^6.898 + 4*t^6.965 - t^7.033 + t^7.038 + 4*t^7.105 + 5*t^7.173 + 3*t^7.241 + t^7.313 + 4*t^7.38 + 5*t^7.448 + 2*t^7.588 + 5*t^7.656 + 3*t^7.723 + 4*t^7.863 + 3*t^7.931 + t^7.998 + 2*t^8.071 + t^8.138 + 3*t^8.206 + 2*t^8.278 - t^8.346 - 3*t^8.414 + 2*t^8.481 + t^8.486 + 5*t^8.553 - 3*t^8.621 + 2*t^8.689 + t^8.756 + 6*t^8.761 + 4*t^8.829 - t^8.896 + 2*t^8.964 + 4*t^8.968 - t^4.448/y - t^6.586/y - t^6.794/y - t^6.862/y + t^7.277/y - t^7.344/y + t^7.484/y + (3*t^7.552)/y - t^7.62/y + (3*t^7.759)/y + t^7.827/y + t^7.967/y + (4*t^8.035)/y + t^8.102/y + t^8.242/y + (4*t^8.31)/y + (3*t^8.517)/y + (2*t^8.585)/y + (3*t^8.792)/y - t^4.448*y - t^6.586*y - t^6.794*y - t^6.862*y + t^7.277*y - t^7.344*y + t^7.484*y + 3*t^7.552*y - t^7.62*y + 3*t^7.759*y + t^7.827*y + t^7.967*y + 4*t^8.035*y + t^8.102*y + t^8.242*y + 4*t^8.31*y + 3*t^8.517*y + 2*t^8.585*y + 3*t^8.792*y	g1^16*t^2.138 + g1^40*t^2.346 + (2*t^2.414)/g1^10 + g1^14*t^2.621 + t^2.896/g1^12 + t^3.171/g1^38 + t^3.379/g1^14 + g1^34*t^3.794 + 2*g1^8*t^4.069 + 2*g1^32*t^4.277 + 2*g1^56*t^4.484 + 2*g1^6*t^4.552 + g1^80*t^4.692 + 3*g1^30*t^4.759 + (3*t^4.827)/g1^20 + g1^54*t^4.967 + 3*g1^4*t^5.035 + 2*g1^28*t^5.242 + (3*t^5.31)/g1^22 + 3*g1^2*t^5.517 + t^5.585/g1^48 + g1^26*t^5.725 + (2*t^5.792)/g1^24 + g1^50*t^5.932 - 2*t^6. + t^6.068/g1^50 + g1^74*t^6.14 + g1^24*t^6.208 + t^6.343/g1^76 + 4*g1^48*t^6.415 + (2*t^6.483)/g1^2 + t^6.55/g1^52 + 3*g1^72*t^6.623 + 5*g1^22*t^6.69 - t^6.758/g1^28 + 2*g1^96*t^6.83 + 5*g1^46*t^6.898 + (4*t^6.965)/g1^4 - t^7.033/g1^54 + g1^120*t^7.038 + 4*g1^70*t^7.105 + 5*g1^20*t^7.173 + (3*t^7.241)/g1^30 + g1^94*t^7.313 + 4*g1^44*t^7.38 + (5*t^7.448)/g1^6 + 2*g1^68*t^7.588 + 5*g1^18*t^7.656 + (3*t^7.723)/g1^32 + 4*g1^42*t^7.863 + (3*t^7.931)/g1^8 + t^7.998/g1^58 + 2*g1^66*t^8.071 + g1^16*t^8.138 + (3*t^8.206)/g1^34 + 2*g1^90*t^8.278 - g1^40*t^8.346 - (3*t^8.414)/g1^10 + (2*t^8.481)/g1^60 + g1^114*t^8.486 + 5*g1^64*t^8.553 - 3*g1^14*t^8.621 + (2*t^8.689)/g1^36 + t^8.756/g1^86 + 6*g1^88*t^8.761 + 4*g1^38*t^8.829 - t^8.896/g1^12 + (2*t^8.964)/g1^62 + 4*g1^112*t^8.968 - t^4.448/(g1^6*y) - (g1^10*t^6.586)/y - (g1^34*t^6.794)/y - t^6.862/(g1^16*y) + (g1^32*t^7.277)/y - t^7.344/(g1^18*y) + (g1^56*t^7.484)/y + (3*g1^6*t^7.552)/y - t^7.62/(g1^44*y) + (3*g1^30*t^7.759)/y + t^7.827/(g1^20*y) + (g1^54*t^7.967)/y + (4*g1^4*t^8.035)/y + t^8.102/(g1^46*y) + (g1^28*t^8.242)/y + (4*t^8.31)/(g1^22*y) + (3*g1^2*t^8.517)/y + (2*t^8.585)/(g1^48*y) + (3*t^8.792)/(g1^24*y) - (t^4.448*y)/g1^6 - g1^10*t^6.586*y - g1^34*t^6.794*y - (t^6.862*y)/g1^16 + g1^32*t^7.277*y - (t^7.344*y)/g1^18 + g1^56*t^7.484*y + 3*g1^6*t^7.552*y - (t^7.62*y)/g1^44 + 3*g1^30*t^7.759*y + (t^7.827*y)/g1^20 + g1^54*t^7.967*y + 4*g1^4*t^8.035*y + (t^8.102*y)/g1^46 + g1^28*t^8.242*y + (4*t^8.31*y)/g1^22 + 3*g1^2*t^8.517*y + (2*t^8.585*y)/g1^48 + (3*t^8.792*y)/g1^24

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
6271	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$	0.6415	0.8196	0.7827	[M:[0.85, 0.95, 1.05, 0.75, 1.25, 1.0, 0.75, 0.8], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]]	2*t^2.25 + t^2.4 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.65 + 3*t^4.8 + 3*t^4.95 + 4*t^5.1 + 4*t^5.25 + 4*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.85 - t^6. - t^4.35/y - t^4.35*y	detail	{a: 164223/256000, c: 209823/256000, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 1, M7: 3/4, M8: 4/5, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20}

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
2609	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{7}$	0.6633	0.8362	0.7932	[M:[1.0521, 0.8756, 1.1244, 0.8032, 1.1968, 0.7873, 0.8032], q:[0.5102, 0.4378], qb:[0.3654, 0.759], phi:[0.4819]]	t^2.362 + 2*t^2.41 + t^2.627 + t^2.891 + t^3.156 + t^3.373 + t^3.808 + t^3.855 + 2*t^4.072 + t^4.29 + t^4.507 + t^4.724 + 2*t^4.771 + 3*t^4.819 + t^4.989 + 2*t^5.036 + 2*t^5.253 + 2*t^5.301 + 2*t^5.518 + t^5.566 + t^5.735 + 2*t^5.783 - 2*t^6. - t^4.446/y - t^4.446*y	detail