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
4619	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$	0.6235	0.7843	0.7951	[X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]]	[X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 1711/2744, c: 269/343, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	${}M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0	2*t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^4.857 + 3*t^5.143 + 3*t^5.429 + 4*t^5.714 + 6*t^6.286 + 4*t^6.571 + 8*t^6.857 + 4*t^7.143 + 6*t^7.429 + 4*t^7.714 + 9*t^8. + t^8.286 + 6*t^8.571 + 2*t^8.857 - t^4.429/y - t^6.714/y + t^7.571/y + (2*t^7.857)/y + (3*t^8.143)/y + (3*t^8.429)/y + (5*t^8.714)/y - t^4.429*y - t^6.714*y + t^7.571*y + 2*t^7.857*y + 3*t^8.143*y + 3*t^8.429*y + 5*t^8.714*y	2*t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^4.857 + 3*t^5.143 + 3*t^5.429 + 4*t^5.714 + 6*t^6.286 + 4*t^6.571 + 8*t^6.857 + 4*t^7.143 + 6*t^7.429 + 4*t^7.714 + 9*t^8. + t^8.286 + 6*t^8.571 + 2*t^8.857 - t^4.429/y - t^6.714/y + t^7.571/y + (2*t^7.857)/y + (3*t^8.143)/y + (3*t^8.429)/y + (5*t^8.714)/y - t^4.429*y - t^6.714*y + t^7.571*y + 2*t^7.857*y + 3*t^8.143*y + 3*t^8.429*y + 5*t^8.714*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
6170	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{1}M_{8}$	0.628	0.7917	0.7932	[X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619, 0.9524], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]]	2*t^2.286 + t^2.571 + 2*t^2.857 + 2*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^4.857 + 5*t^5.143 + 2*t^5.429 + 5*t^5.714 - t^6. - t^4.429/y - t^4.429*y	detail	{a: 211/336, c: 19/24, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, M8: 20/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21}
6168	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{2}M_{8}$	0.611	0.7628	0.801	[X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619, 1.1429], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]]	2*t^2.286 + t^2.857 + t^3.143 + 3*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^5.143 + 2*t^5.429 + 5*t^5.714 - 2*t^6. - t^4.429/y - t^4.429*y	detail	{a: 479/784, c: 299/392, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, M8: 8/7, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21}
6171	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.6421	0.8177	0.7852	[X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619, 0.7619], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]]	3*t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + 3*t^4. + t^4.286 + 6*t^4.571 + 3*t^4.857 + 4*t^5.143 + 4*t^5.429 + 6*t^5.714 - 2*t^6. - t^4.429/y - t^4.429*y	detail	{a: 10571/16464, c: 6731/8232, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, M8: 16/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21}
6169	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}X_{1}$ + ${ }M_{8}\phi_{1}^{2}$	0.6191	0.7768	0.797	[X:[1.3333], M:[1.0476, 0.8571, 1.1429, 0.7619, 1.2381, 0.6667, 0.7619, 1.0476], q:[0.5238, 0.4286], qb:[0.3333, 0.8095], phi:[0.4762]]	2*t^2.286 + t^2.571 + 2*t^3.143 + 2*t^3.429 + t^3.714 + 3*t^4. + t^4.286 + 3*t^4.571 + 2*t^4.857 + t^5.143 + 4*t^5.429 + 4*t^5.714 - t^6. - t^4.429/y - t^4.429*y	detail	{a: 10193/16464, c: 6395/8232, X1: 4/3, M1: 22/21, M2: 6/7, M3: 8/7, M4: 16/21, M5: 26/21, M6: 2/3, M7: 16/21, M8: 22/21, q1: 11/21, q2: 3/7, qb1: 1/3, qb2: 17/21, phi1: 10/21}

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
2555	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$	0.7151	0.8924	0.8013	[M:[1.0817, 0.7548, 0.887, 0.9495, 1.0505, 0.7861, 0.9495], q:[0.5409, 0.3774], qb:[0.5721, 0.6731], phi:[0.4591]]	t^2.264 + t^2.358 + t^2.661 + t^2.755 + 2*t^2.849 + t^3.245 + t^3.642 + t^4.132 + t^4.226 + 2*t^4.529 + 2*t^4.623 + 2*t^4.716 + t^4.81 + t^4.926 + 3*t^5.019 + 3*t^5.113 + 2*t^5.207 + t^5.322 + t^5.416 + 3*t^5.51 + 2*t^5.603 + 2*t^5.697 + t^5.906 - 2*t^6. - t^4.377/y - t^4.377*y	detail