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
46441	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$	0.7331	0.8939	0.8201	[M:[1.0, 0.8539, 0.8539, 1.1461, 0.8539, 0.8539], q:[0.5, 0.5], qb:[0.6461, 0.6461], phi:[0.427]]	[M:[[0, 0, 0], [1, -4, 0], [1, 0, -4], [0, 2, 2], [-1, 0, -4], [-1, -4, 0]], q:[[-1, 0, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$	-3	4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. + t^6.438 + 8*t^6.843 + t^6.876 + 12*t^7.281 + t^7.315 + 20*t^7.685 + 8*t^7.719 + t^7.753 - 3*t^8.124 - t^8.157 - 13*t^8.562 - t^4.281/y - (4*t^6.843)/y + (4*t^7.719)/y + (6*t^8.124)/y + (4*t^8.562)/y - t^4.281*y - 4*t^6.843*y + 4*t^7.719*y + 6*t^8.124*y + 4*t^8.562*y	t^2.562/(g1*g2^4) + (g1*t^2.562)/g2^4 + t^2.562/(g1*g3^4) + (g1*t^2.562)/g3^4 + t^3. + g2^2*g3^2*t^3.438 + g2^4*g3^4*t^3.876 + t^4.281/(g2*g3) + t^4.281/(g1^2*g2*g3) + (g1^2*t^4.281)/(g2*g3) + (g2^3*t^4.719)/(g1*g3) + (g1*g2^3*t^4.719)/g3 + (g3^3*t^4.719)/(g1*g2) + (g1*g3^3*t^4.719)/g2 + t^5.124/g2^8 + t^5.124/(g1^2*g2^8) + (g1^2*t^5.124)/g2^8 + t^5.124/g3^8 + t^5.124/(g1^2*g3^8) + (g1^2*t^5.124)/g3^8 + (2*t^5.124)/(g2^4*g3^4) + t^5.124/(g1^2*g2^4*g3^4) + (g1^2*t^5.124)/(g2^4*g3^4) + (g2^7*t^5.157)/g3 + g2^3*g3^3*t^5.157 + (g3^7*t^5.157)/g2 - 3*t^6. - t^6./g1^2 - g1^2*t^6. - (g2^4*t^6.)/g3^4 + (g2^2*t^6.)/(g1*g3^2) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (g1*g3^2*t^6.)/g2^2 - (g3^4*t^6.)/g2^4 + g2^2*g3^2*t^6.438 + t^6.843/(g1^3*g2*g3^5) + t^6.843/(g1*g2*g3^5) + (g1*t^6.843)/(g2*g3^5) + (g1^3*t^6.843)/(g2*g3^5) + t^6.843/(g1^3*g2^5*g3) + t^6.843/(g1*g2^5*g3) + (g1*t^6.843)/(g2^5*g3) + (g1^3*t^6.843)/(g2^5*g3) + g2^4*g3^4*t^6.876 + (g2^3*t^7.281)/g3^5 + (g2^3*t^7.281)/(g1^2*g3^5) + (g1^2*g2^3*t^7.281)/g3^5 + (2*t^7.281)/(g2*g3) + (2*t^7.281)/(g1^2*g2*g3) + (2*g1^2*t^7.281)/(g2*g3) + (g3^3*t^7.281)/g2^5 + (g3^3*t^7.281)/(g1^2*g2^5) + (g1^2*g3^3*t^7.281)/g2^5 + g2^6*g3^6*t^7.315 + t^7.685/(g1^3*g2^12) + t^7.685/(g1*g2^12) + (g1*t^7.685)/g2^12 + (g1^3*t^7.685)/g2^12 + t^7.685/(g1^3*g3^12) + t^7.685/(g1*g3^12) + (g1*t^7.685)/g3^12 + (g1^3*t^7.685)/g3^12 + t^7.685/(g1^3*g2^4*g3^8) + (2*t^7.685)/(g1*g2^4*g3^8) + (2*g1*t^7.685)/(g2^4*g3^8) + (g1^3*t^7.685)/(g2^4*g3^8) + t^7.685/(g1^3*g2^8*g3^4) + (2*t^7.685)/(g1*g2^8*g3^4) + (2*g1*t^7.685)/(g2^8*g3^4) + (g1^3*t^7.685)/(g2^8*g3^4) + (g2^7*t^7.719)/(g1*g3^5) + (g1*g2^7*t^7.719)/g3^5 + (g2^3*t^7.719)/(g1*g3) + (g1*g2^3*t^7.719)/g3 + (g3^3*t^7.719)/(g1*g2) + (g1*g3^3*t^7.719)/g2 + (g3^7*t^7.719)/(g1*g2^5) + (g1*g3^7*t^7.719)/g2^5 + g2^8*g3^8*t^7.753 - t^8.124/(g2^4*g3^4) - t^8.124/(g1^2*g2^4*g3^4) - (g1^2*t^8.124)/(g2^4*g3^4) - g2^3*g3^3*t^8.157 - t^8.562/(g1^3*g2^4) - (5*t^8.562)/(g1*g2^4) - (5*g1*t^8.562)/g2^4 - (g1^3*t^8.562)/g2^4 - (g2^4*t^8.562)/(g1*g3^8) - (g1*g2^4*t^8.562)/g3^8 + (g2^2*t^8.562)/g3^6 + (g2^2*t^8.562)/(g1^2*g3^6) + (g1^2*g2^2*t^8.562)/g3^6 - t^8.562/(g1^3*g3^4) - (5*t^8.562)/(g1*g3^4) - (5*g1*t^8.562)/g3^4 - (g1^3*t^8.562)/g3^4 + (3*t^8.562)/(g2^2*g3^2) + t^8.562/(g1^4*g2^2*g3^2) + (2*t^8.562)/(g1^2*g2^2*g3^2) + (2*g1^2*t^8.562)/(g2^2*g3^2) + (g1^4*t^8.562)/(g2^2*g3^2) + (g3^2*t^8.562)/g2^6 + (g3^2*t^8.562)/(g1^2*g2^6) + (g1^2*g3^2*t^8.562)/g2^6 - (g3^4*t^8.562)/(g1*g2^8) - (g1*g3^4*t^8.562)/g2^8 - t^4.281/(g2*g3*y) - t^6.843/(g1*g2*g3^5*y) - (g1*t^6.843)/(g2*g3^5*y) - t^6.843/(g1*g2^5*g3*y) - (g1*t^6.843)/(g2^5*g3*y) + (g2^3*t^7.719)/(g1*g3*y) + (g1*g2^3*t^7.719)/(g3*y) + (g3^3*t^7.719)/(g1*g2*y) + (g1*g3^3*t^7.719)/(g2*y) + t^8.124/(g2^8*y) + t^8.124/(g3^8*y) + (2*t^8.124)/(g2^4*g3^4*y) + t^8.124/(g1^2*g2^4*g3^4*y) + (g1^2*t^8.124)/(g2^4*g3^4*y) + t^8.562/(g1*g2^4*y) + (g1*t^8.562)/(g2^4*y) + t^8.562/(g1*g3^4*y) + (g1*t^8.562)/(g3^4*y) - (t^4.281*y)/(g2*g3) - (t^6.843*y)/(g1*g2*g3^5) - (g1*t^6.843*y)/(g2*g3^5) - (t^6.843*y)/(g1*g2^5*g3) - (g1*t^6.843*y)/(g2^5*g3) + (g2^3*t^7.719*y)/(g1*g3) + (g1*g2^3*t^7.719*y)/g3 + (g3^3*t^7.719*y)/(g1*g2) + (g1*g3^3*t^7.719*y)/g2 + (t^8.124*y)/g2^8 + (t^8.124*y)/g3^8 + (2*t^8.124*y)/(g2^4*g3^4) + (t^8.124*y)/(g1^2*g2^4*g3^4) + (g1^2*t^8.124*y)/(g2^4*g3^4) + (t^8.562*y)/(g1*g2^4) + (g1*t^8.562*y)/g2^4 + (t^8.562*y)/(g1*g3^4) + (g1*t^8.562*y)/g3^4

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
47015	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$	0.7124	0.8709	0.818	[M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]]	2*t^2.573 + 3*t^3. + t^3.214 + t^3.427 + t^3.966 + 3*t^4.393 + 6*t^4.82 + 3*t^5.146 + 3*t^5.573 + 2*t^5.786 - 2*t^6. - t^4.393/y - t^4.393*y	detail
47202	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{6}$	0.7138	0.8725	0.8181	[M:[1.0, 1.0, 0.8436, 1.0782, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]]	2*t^2.531 + 3*t^3. + t^3.235 + t^3.469 + 6*t^4.383 + 3*t^4.852 + 3*t^5.061 + t^5.321 + 3*t^5.531 + 2*t^5.765 - 2*t^6. - t^4.383/y - t^4.383*y	detail
47164	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}^{2}$	0.7198	0.8791	0.8188	[M:[1.0, 1.0, 0.8933, 1.0979, 0.8041, 0.9108], q:[0.4554, 0.5446], qb:[0.5446, 0.6513], phi:[0.451]]	t^2.412 + t^2.68 + t^2.732 + 2*t^3. + t^3.294 + t^3.588 + t^4.085 + 2*t^4.353 + 3*t^4.621 + t^4.673 + t^4.825 + 2*t^4.941 + t^5.092 + t^5.145 + t^5.261 + t^5.36 + 2*t^5.412 + t^5.465 + t^5.706 + t^5.974 - 2*t^6. - t^4.353/y - t^4.353*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
46114	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.7729	0.9519	0.812	[M:[0.7473, 0.7777, 0.7777, 1.2223, 0.7777, 0.7777], q:[0.6263, 0.6263], qb:[0.596, 0.596], phi:[0.3888]]	t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y	detail