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
2924	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.6366	0.8478	0.7509	[M:[0.9242, 1.2275, 0.7725, 0.7725, 0.8412, 0.7725], q:[0.731, 0.3448], qb:[0.3448, 0.4277], phi:[0.5379]]	[M:[[4], [-12], [12], [12], [-18], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$	${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$	1	t^2.069 + 4*t^2.318 + t^2.524 + t^2.773 + 2*t^3.227 + t^3.682 + 2*t^3.931 + t^4.137 + t^4.18 + 4*t^4.386 + t^4.592 + 10*t^4.635 + 5*t^4.841 + t^5.047 + 4*t^5.09 + 3*t^5.296 + 8*t^5.545 + t^5.751 + t^6. + 2*t^6.206 + 6*t^6.249 + 5*t^6.455 + 4*t^6.498 + t^6.661 + 10*t^6.704 + 4*t^6.91 + 20*t^6.953 + t^7.116 + 12*t^7.159 + 5*t^7.365 + 10*t^7.408 + t^7.571 + 6*t^7.614 + 2*t^7.82 + 18*t^7.863 + t^8.069 + 2*t^8.112 + 2*t^8.275 - 4*t^8.318 + t^8.36 + 2*t^8.524 + 12*t^8.566 + 2*t^8.73 + 6*t^8.773 + 10*t^8.815 + 2*t^8.979 - t^4.614/y - (2*t^6.931)/y - t^7.137/y + (4*t^7.386)/y + t^7.592/y + (6*t^7.635)/y + (5*t^7.841)/y + (5*t^8.09)/y + (5*t^8.296)/y + (8*t^8.545)/y + (3*t^8.751)/y - t^4.614*y - 2*t^6.931*y - t^7.137*y + 4*t^7.386*y + t^7.592*y + 6*t^7.635*y + 5*t^7.841*y + 5*t^8.09*y + 5*t^8.296*y + 8*t^8.545*y + 3*t^8.751*y	t^2.069/g1^10 + 4*g1^12*t^2.318 + t^2.524/g1^18 + g1^4*t^2.773 + (2*t^3.227)/g1^4 + t^3.682/g1^12 + 2*g1^10*t^3.931 + t^4.137/g1^20 + g1^32*t^4.18 + 4*g1^2*t^4.386 + t^4.592/g1^28 + 10*g1^24*t^4.635 + (5*t^4.841)/g1^6 + t^5.047/g1^36 + 4*g1^16*t^5.09 + (3*t^5.296)/g1^14 + 8*g1^8*t^5.545 + t^5.751/g1^22 + t^6. + (2*t^6.206)/g1^30 + 6*g1^22*t^6.249 + (5*t^6.455)/g1^8 + 4*g1^44*t^6.498 + t^6.661/g1^38 + 10*g1^14*t^6.704 + (4*t^6.91)/g1^16 + 20*g1^36*t^6.953 + t^7.116/g1^46 + 12*g1^6*t^7.159 + (5*t^7.365)/g1^24 + 10*g1^28*t^7.408 + t^7.571/g1^54 + (6*t^7.614)/g1^2 + (2*t^7.82)/g1^32 + 18*g1^20*t^7.863 + t^8.069/g1^10 + 2*g1^42*t^8.112 + (2*t^8.275)/g1^40 - 4*g1^12*t^8.318 + g1^64*t^8.36 + (2*t^8.524)/g1^18 + 12*g1^34*t^8.566 + (2*t^8.73)/g1^48 + 6*g1^4*t^8.773 + 10*g1^56*t^8.815 + (2*t^8.979)/g1^26 - t^4.614/(g1^2*y) - (2*g1^10*t^6.931)/y - t^7.137/(g1^20*y) + (4*g1^2*t^7.386)/y + t^7.592/(g1^28*y) + (6*g1^24*t^7.635)/y + (5*t^7.841)/(g1^6*y) + (5*g1^16*t^8.09)/y + (5*t^8.296)/(g1^14*y) + (8*g1^8*t^8.545)/y + (3*t^8.751)/(g1^22*y) - (t^4.614*y)/g1^2 - 2*g1^10*t^6.931*y - (t^7.137*y)/g1^20 + 4*g1^2*t^7.386*y + (t^7.592*y)/g1^28 + 6*g1^24*t^7.635*y + (5*t^7.841*y)/g1^6 + 5*g1^16*t^8.09*y + (5*t^8.296*y)/g1^14 + 8*g1^8*t^8.545*y + (3*t^8.751*y)/g1^22

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
3510	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6548	0.8815	0.7428	[M:[0.9216, 1.2352, 0.7648, 0.7648, 0.8527, 0.7648, 0.7648], q:[0.7304, 0.348], qb:[0.348, 0.4169], phi:[0.5392]]	t^2.088 + 5*t^2.295 + t^2.558 + t^2.765 + 2*t^3.235 + 2*t^3.912 + t^4.119 + t^4.176 + 5*t^4.382 + 15*t^4.589 + t^4.646 + 6*t^4.853 + 5*t^5.059 + t^5.116 + 3*t^5.323 + 10*t^5.53 - 3*t^6. - t^4.618/y - t^4.618*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
1900	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6188	0.8154	0.7589	[M:[0.9271, 1.2187, 0.7813, 0.7813, 0.828], q:[0.7318, 0.3411], qb:[0.3411, 0.4402], phi:[0.5364]]	t^2.047 + 3*t^2.344 + t^2.484 + t^2.781 + 2*t^3.219 + 2*t^3.656 + 2*t^3.953 + t^4.093 + t^4.251 + 3*t^4.391 + t^4.531 + 6*t^4.688 + 4*t^4.828 + t^4.968 + 3*t^5.125 + 3*t^5.265 + 6*t^5.563 + 2*t^5.703 + 3*t^6. - t^4.609/y - t^4.609*y	detail