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
55970	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$	0.5549	0.6908	0.8033	[X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]]	[X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 54015/97336, c: 8405/12167, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, phi1: 10/23}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	1	t^2.087 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + t^4.957 + 3*t^5.217 + t^5.478 + 3*t^5.739 + t^6. + 4*t^6.261 + 2*t^6.522 + 4*t^6.783 + t^7.043 + 5*t^7.304 + t^7.565 + 4*t^7.826 + 4*t^8.348 + 3*t^8.87 - t^4.304/y - t^6.913/y + (2*t^7.696)/y + t^7.957/y + (2*t^8.217)/y + (2*t^8.478)/y + (4*t^8.739)/y - t^4.304*y - t^6.913*y + 2*t^7.696*y + t^7.957*y + 2*t^8.217*y + 2*t^8.478*y + 4*t^8.739*y	t^2.087 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + t^4.957 + 3*t^5.217 + t^5.478 + 3*t^5.739 + t^6. + 4*t^6.261 + 2*t^6.522 + 4*t^6.783 + t^7.043 + 5*t^7.304 + t^7.565 + 4*t^7.826 + 4*t^8.348 + 3*t^8.87 - t^4.304/y - t^6.913/y + (2*t^7.696)/y + t^7.957/y + (2*t^8.217)/y + (2*t^8.478)/y + (4*t^8.739)/y - t^4.304*y - t^6.913*y + 2*t^7.696*y + t^7.957*y + 2*t^8.217*y + 2*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
57739	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$	0.5509	0.684	0.8053	[X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565, 1.0435], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]]	t^2.087 + t^2.609 + 3*t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.696 + 4*t^5.217 + 3*t^5.739 - t^6. - t^4.304/y - t^4.304*y	detail	{a: 107241/194672, c: 66581/97336, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, M6: 24/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, phi1: 10/23}
57741	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.5665	0.7106	0.7973	[X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565, 0.8696], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]]	t^2.087 + 2*t^2.609 + t^2.87 + 2*t^3.13 + 2*t^3.652 + t^3.913 + t^4.174 + 3*t^4.696 + t^4.957 + 5*t^5.217 + t^5.478 + 5*t^5.739 - t^4.304/y - t^4.304*y	detail	{a: 110289/194672, c: 69163/97336, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, M6: 20/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, phi1: 10/23}
57737	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$	0.5433	0.671	0.8097	[X:[1.5652], M:[0.4348, 1.0435, 1.3043, 0.6957, 0.9565, 1.1304], q:[0.6522, 0.913], qb:[0.3043, 0.3913], phi:[0.4348]]	t^2.087 + t^2.87 + 2*t^3.13 + 2*t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + t^4.696 + t^4.957 + 2*t^5.217 + t^5.478 + t^5.739 - t^4.304/y - t^4.304*y	detail	{a: 105771/194672, c: 65317/97336, X1: 36/23, M1: 10/23, M2: 24/23, M3: 30/23, M4: 16/23, M5: 22/23, M6: 26/23, q1: 15/23, q2: 21/23, qb1: 7/23, qb2: 9/23, 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
48231	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6412	0.7986	0.8029	[X:[1.6182], M:[0.3818, 0.6726, 1.1454, 0.8546, 0.7181], q:[0.8773, 0.7409], qb:[0.45, 0.4045], phi:[0.3818]]	t^2.018 + t^2.154 + t^2.291 + t^2.564 + t^3.436 + 2*t^3.573 + t^3.709 + t^3.846 + t^4.036 + t^4.172 + 2*t^4.309 + t^4.445 + 2*t^4.582 + t^4.718 + 2*t^4.855 + t^5.128 + t^5.454 + 3*t^5.591 + 3*t^5.727 + 2*t^5.864 - t^4.145/y - t^4.145*y	detail