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
46389	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$	0.6231	0.8106	0.7687	[M:[0.9565, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	[M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 121293/194672, c: 78897/97336, M1: 22/23, M2: 18/23, M3: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	3	t^2.087 + 2*t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 5*t^4.957 + 6*t^5.217 + 4*t^5.478 + 3*t^5.739 + 3*t^6. + 5*t^6.261 + 7*t^6.522 + 8*t^6.783 + 10*t^7.043 + 10*t^7.304 + 11*t^7.565 + 11*t^7.826 + 7*t^8.087 + 6*t^8.348 + 6*t^8.609 + 8*t^8.87 - t^4.565/y - t^6.913/y - t^7.174/y + (2*t^7.435)/y + (3*t^7.696)/y + (6*t^7.957)/y + (5*t^8.217)/y + (5*t^8.478)/y + (5*t^8.739)/y - t^4.565*y - t^6.913*y - t^7.174*y + 2*t^7.435*y + 3*t^7.696*y + 6*t^7.957*y + 5*t^8.217*y + 5*t^8.478*y + 5*t^8.739*y	t^2.087 + 2*t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 5*t^4.696 + 5*t^4.957 + 6*t^5.217 + 4*t^5.478 + 3*t^5.739 + 3*t^6. + 5*t^6.261 + 7*t^6.522 + 8*t^6.783 + 10*t^7.043 + 10*t^7.304 + 11*t^7.565 + 11*t^7.826 + 7*t^8.087 + 6*t^8.348 + 6*t^8.609 + 8*t^8.87 - t^4.565/y - t^6.913/y - t^7.174/y + (2*t^7.435)/y + (3*t^7.696)/y + (6*t^7.957)/y + (5*t^8.217)/y + (5*t^8.478)/y + (5*t^8.739)/y - t^4.565*y - t^6.913*y - t^7.174*y + 2*t^7.435*y + 3*t^7.696*y + 6*t^7.957*y + 5*t^8.217*y + 5*t^8.478*y + 5*t^8.739*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
47002	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{4}$	0.6115	0.7908	0.7732	[M:[0.9565, 0.7826, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 2*t^2.348 + t^2.609 + t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 4*t^4.696 + 3*t^4.957 + 4*t^5.217 + 4*t^5.478 + 4*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y	detail	{a: 59517/97336, c: 38487/48668, M1: 22/23, M2: 18/23, M3: 20/23, M4: 26/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
48128	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6347	0.8303	0.7644	[M:[0.9565, 0.7826, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 2*t^2.348 + 3*t^2.609 + t^2.87 + t^3.13 + t^3.652 + 2*t^3.913 + 2*t^4.174 + 3*t^4.435 + 6*t^4.696 + 7*t^4.957 + 9*t^5.217 + 4*t^5.478 + 2*t^5.739 + t^6. - t^4.565/y - t^4.565*y	detail	{a: 7722/12167, c: 20205/24334, M1: 22/23, M2: 18/23, M3: 20/23, M4: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
46876	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6437	0.8502	0.7571	[M:[0.9565, 0.7826, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	2*t^2.087 + 2*t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 7*t^4.696 + 6*t^4.957 + 7*t^5.217 + 5*t^5.478 + 4*t^5.739 + 3*t^6. - t^4.565/y - t^4.565*y	detail	{a: 681/1058, c: 1799/2116, M1: 22/23, M2: 18/23, M3: 20/23, M4: 16/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
47152	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6406	0.8416	0.7611	[M:[0.9565, 0.7826, 0.8696, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	t^2.087 + 3*t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + 2*t^3.913 + 2*t^4.174 + 4*t^4.435 + 8*t^4.696 + 7*t^4.957 + 7*t^5.217 + 5*t^5.478 + 3*t^5.739 + t^6. - t^4.565/y - t^4.565*y	detail	{a: 62349/97336, c: 40961/48668, M1: 22/23, M2: 18/23, M3: 20/23, M4: 18/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}

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
46167	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6281	0.8156	0.7701	[M:[0.9794, 0.7655, 0.8068], q:[0.7448, 0.2758], qb:[0.4484, 0.4897], phi:[0.5103]]	t^2.173 + 2*t^2.296 + t^2.42 + t^2.814 + t^2.938 + t^3.062 + t^3.186 + t^3.704 + t^3.827 + t^4.221 + 2*t^4.345 + 3*t^4.469 + 4*t^4.593 + 2*t^4.717 + t^4.841 + t^4.987 + 3*t^5.111 + 4*t^5.235 + 3*t^5.358 + 2*t^5.482 + t^5.606 + t^5.628 + t^5.752 + t^5.876 + t^6. - t^4.531/y - t^4.531*y	detail