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
46903	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$	0.5966	0.7557	0.7895	[X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]]	[X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 105/176, c: 133/176, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + t^3.818 + 2*t^4.091 + t^4.364 + 2*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 2*t^5.727 - 2*t^6. + 3*t^6.273 + 5*t^6.545 + 3*t^6.818 + 5*t^7.091 + 6*t^7.364 + 11*t^7.636 + 10*t^7.909 + 4*t^8.182 - t^8.455 - 4*t^8.727 - t^4.364/y - t^6.545/y - t^7.091/y + (3*t^7.636)/y + (3*t^7.909)/y + (6*t^8.182)/y + (3*t^8.455)/y + (2*t^8.727)/y - t^4.364*y - t^6.545*y - t^7.091*y + 3*t^7.636*y + 3*t^7.909*y + 6*t^8.182*y + 3*t^8.455*y + 2*t^8.727*y	t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + t^3.818 + 2*t^4.091 + t^4.364 + 2*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 2*t^5.727 - 2*t^6. + 3*t^6.273 + 5*t^6.545 + 3*t^6.818 + 5*t^7.091 + 6*t^7.364 + 11*t^7.636 + 10*t^7.909 + 4*t^8.182 - t^8.455 - 4*t^8.727 - t^4.364/y - t^6.545/y - t^7.091/y + (3*t^7.636)/y + (3*t^7.909)/y + (6*t^8.182)/y + (3*t^8.455)/y + (2*t^8.727)/y - t^4.364*y - t^6.545*y - t^7.091*y + 3*t^7.636*y + 3*t^7.909*y + 6*t^8.182*y + 3*t^8.455*y + 2*t^8.727*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
55328	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{4}M_{5}$	0.5767	0.7188	0.8024	[X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 1.2727], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]]	2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + 2*t^3.818 + 2*t^4.091 + 4*t^4.909 + 4*t^5.182 + 5*t^5.455 + t^5.727 - 3*t^6. - t^4.364/y - t^4.364*y	detail	{a: 6141/10648, c: 15307/21296, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 14/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11}
55315	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6165	0.7926	0.7778	[X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 0.7273], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]]	2*t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + 2*t^4.091 + 3*t^4.364 + 4*t^4.636 + 8*t^4.909 + 6*t^5.182 + 5*t^5.455 + 3*t^5.727 - 3*t^6. - t^4.364/y - t^4.364*y	detail	{a: 1641/2662, c: 16879/21296, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 8/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11}
55111	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.5883	0.7417	0.7932	[X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 1.0909], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]]	t^2.182 + 2*t^2.455 + t^2.727 + t^3. + t^3.273 + t^3.545 + t^3.818 + 2*t^4.091 + t^4.364 + 2*t^4.636 + 5*t^4.909 + 3*t^5.182 + 4*t^5.455 + 3*t^5.727 - t^6. - t^4.364/y - t^4.364*y	detail	{a: 783/1331, c: 15795/21296, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 12/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11}
55399	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.6119	0.7824	0.7821	[X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273, 0.8182], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]]	t^2.182 + 3*t^2.455 + 2*t^2.727 + t^3. + t^3.818 + 2*t^4.091 + t^4.364 + 3*t^4.636 + 9*t^4.909 + 7*t^5.182 + 6*t^5.455 + t^5.727 - 4*t^6. - t^4.364/y - t^4.364*y	detail	{a: 1629/2662, c: 8331/10648, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, M5: 9/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11}

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
46729	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$	0.6196	0.8021	0.7724	[X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]]	t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. - t^4.381/y - t^4.381*y	detail