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
4391	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	0.5649	0.7089	0.7968	[M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]]	[M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 109965/194672, c: 69001/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$	1	t^2.087 + t^2.348 + 2*t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 2*t^4.696 + 2*t^4.957 + 3*t^5.217 + 2*t^5.478 + 4*t^5.739 + t^6. + 4*t^6.261 + 2*t^6.522 + 4*t^6.783 + 3*t^7.043 + 3*t^7.304 + 4*t^7.565 + 3*t^7.826 + 4*t^8.087 + t^8.348 + 5*t^8.609 - t^4.304/y - t^6.652/y - t^7.174/y + (2*t^7.435)/y + (3*t^7.957)/y + (3*t^8.217)/y + (3*t^8.478)/y + (4*t^8.739)/y - t^4.304*y - t^6.652*y - t^7.174*y + 2*t^7.435*y + 3*t^7.957*y + 3*t^8.217*y + 3*t^8.478*y + 4*t^8.739*y	t^2.087 + t^2.348 + 2*t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 2*t^4.696 + 2*t^4.957 + 3*t^5.217 + 2*t^5.478 + 4*t^5.739 + t^6. + 4*t^6.261 + 2*t^6.522 + 4*t^6.783 + 3*t^7.043 + 3*t^7.304 + 4*t^7.565 + 3*t^7.826 + 4*t^8.087 + t^8.348 + 5*t^8.609 - t^4.304/y - t^6.652/y - t^7.174/y + (2*t^7.435)/y + (3*t^7.957)/y + (3*t^8.217)/y + (3*t^8.478)/y + (4*t^8.739)/y - t^4.304*y - t^6.652*y - t^7.174*y + 2*t^7.435*y + 3*t^7.957*y + 3*t^8.217*y + 3*t^8.478*y + 4*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
5878	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$	0.5855	0.7485	0.7822	[M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]]	2*t^2.087 + t^2.348 + 2*t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + 3*t^4.174 + 2*t^4.435 + 2*t^4.696 + 4*t^4.957 + 4*t^5.217 + 4*t^5.478 + 5*t^5.739 - t^4.304/y - t^4.304*y	detail	{a: 14247/24334, c: 36429/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, M8: 16/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23}
5876	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.5689	0.7157	0.795	[M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]]	t^2.087 + t^2.348 + 3*t^2.87 + 2*t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 2*t^4.696 + 3*t^4.957 + 3*t^5.217 + t^5.478 + 7*t^5.739 - t^6. - t^4.304/y - t^4.304*y	detail	{a: 55377/97336, c: 17415/24334, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, M8: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23}
5877	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.5824	0.74	0.787	[M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565, 0.7826], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]]	t^2.087 + 2*t^2.348 + 2*t^2.87 + t^3.13 + 2*t^3.391 + t^3.913 + t^4.174 + 2*t^4.435 + 4*t^4.696 + 2*t^4.957 + 5*t^5.217 + 3*t^5.478 + 5*t^5.739 - t^4.304/y - t^4.304*y	detail	{a: 56685/97336, c: 36013/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, M8: 18/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23}

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
2380	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.5702	0.713	0.7996	[M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]]	t^2.142 + t^2.147 + 2*t^2.997 + t^3.422 + 2*t^3.428 + t^3.434 + t^3.858 + t^4.283 + t^4.289 + t^4.295 + t^4.714 + 2*t^5.139 + 2*t^5.145 + t^5.563 + 2*t^5.569 + 2*t^5.575 + t^5.581 + 2*t^5.994 - 2*t^6. - t^4.286/y - t^4.286*y	detail