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
4640	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}^{2}$	0.6191	0.7555	0.8195	[X:[1.2727], M:[1.0909, 0.7273, 1.0, 0.8182, 1.1818, 0.8182, 1.1818], q:[0.5455, 0.3636], qb:[0.4545, 0.8182], phi:[0.4545]]	[X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 13185/21296, c: 16089/21296, X1: 14/11, M1: 12/11, M2: 8/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 13/11, q1: 6/11, q2: 4/11, qb1: 5/11, qb2: 9/11, phi1: 5/11}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$	${}M_{6}M_{7}$	-1	t^2.455 + t^2.727 + t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + 3*t^4.091 + t^4.364 + t^4.909 + t^5.182 + 2*t^5.455 - t^6. + 3*t^6.273 + 4*t^6.545 + 4*t^6.818 + 5*t^7.091 + 2*t^7.364 + 6*t^7.636 + 5*t^7.909 + 4*t^8.182 - 2*t^8.727 - t^4.364/y + t^8.182/y + t^8.455/y + (2*t^8.727)/y - t^4.364*y + t^8.182*y + t^8.455*y + 2*t^8.727*y	t^2.455 + t^2.727 + t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + 3*t^4.091 + t^4.364 + t^4.909 + t^5.182 + 2*t^5.455 - t^6. + 3*t^6.273 + 4*t^6.545 + 4*t^6.818 + 5*t^7.091 + 2*t^7.364 + 6*t^7.636 + 5*t^7.909 + 4*t^8.182 - 2*t^8.727 - t^4.364/y + t^8.182/y + t^8.455/y + (2*t^8.727)/y - t^4.364*y + t^8.182*y + 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
6221	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{8}$	0.6274	0.7695	0.8154	[X:[1.2727], M:[1.0909, 0.7273, 1.0, 0.8182, 1.1818, 0.8182, 1.1818, 0.9091], q:[0.5455, 0.3636], qb:[0.4545, 0.8182], phi:[0.4545]]	t^2.455 + 2*t^2.727 + t^3. + 2*t^3.545 + 2*t^3.818 + 3*t^4.091 + t^4.364 + t^4.909 + 2*t^5.182 + 4*t^5.455 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 6681/10648, c: 16387/21296, X1: 14/11, M1: 12/11, M2: 8/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 13/11, M8: 10/11, q1: 6/11, q2: 4/11, qb1: 5/11, qb2: 9/11, phi1: 5/11}
6222	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.639	0.7924	0.8064	[X:[1.2727], M:[1.0909, 0.7273, 1.0, 0.8182, 1.1818, 0.8182, 1.1818, 0.7273], q:[0.5455, 0.3636], qb:[0.4545, 0.8182], phi:[0.4545]]	t^2.182 + t^2.455 + t^2.727 + t^3. + t^3.273 + 2*t^3.545 + t^3.818 + 3*t^4.091 + 2*t^4.364 + t^4.636 + 2*t^4.909 + 2*t^5.182 + 3*t^5.455 + 2*t^5.727 - t^4.364/y - t^4.364*y	detail	{a: 1701/2662, c: 16875/21296, X1: 14/11, M1: 12/11, M2: 8/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 13/11, M8: 8/11, q1: 6/11, q2: 4/11, qb1: 5/11, qb2: 9/11, phi1: 5/11}
6219	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{8}\phi_{1}^{2}$	0.6108	0.7415	0.8238	[X:[1.2727], M:[1.0909, 0.7273, 1.0, 0.8182, 1.1818, 0.8182, 1.1818, 1.0909], q:[0.5455, 0.3636], qb:[0.4545, 0.8182], phi:[0.4545]]	t^2.455 + t^3. + 2*t^3.273 + 2*t^3.545 + 2*t^3.818 + 3*t^4.091 + t^4.364 + t^4.909 + t^5.455 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 813/1331, c: 15791/21296, X1: 14/11, M1: 12/11, M2: 8/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 13/11, M8: 12/11, q1: 6/11, q2: 4/11, qb1: 5/11, qb2: 9/11, 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
2564	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$	0.6366	0.7762	0.8202	[X:[1.3502], M:[1.1167, 0.6498, 0.8579, 0.9086, 1.0914, 0.9086, 1.0914], q:[0.5584, 0.3249], qb:[0.5837, 0.7665], phi:[0.4416]]	t^2.574 + t^2.65 + t^2.726 + 2*t^3.274 + t^3.35 + 2*t^3.975 + 2*t^4.051 + t^4.599 + t^4.751 + t^4.827 + t^5.148 + 2*t^5.3 + t^5.376 + 2*t^5.848 + 3*t^5.924 - 2*t^6. - t^4.325/y - t^4.325*y	detail