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
4666	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$	0.6324	0.8142	0.7767	[M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]]	[M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 13467/21296, c: 17339/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}^{2}$	-1	3*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^4.091 + 7*t^4.364 + 2*t^4.636 + 6*t^4.909 + 3*t^5.182 + 7*t^5.455 + 5*t^5.727 - t^6. + 4*t^6.273 + 13*t^6.545 + 4*t^6.818 + 12*t^7.091 + 6*t^7.364 + 15*t^7.636 + 9*t^7.909 - t^8.182 + 7*t^8.455 + 16*t^8.727 - t^4.364/y - (2*t^6.545)/y - t^6.818/y + (3*t^7.364)/y + (3*t^7.636)/y + (4*t^7.909)/y + (6*t^8.182)/y + (7*t^8.455)/y + (3*t^8.727)/y - t^4.364*y - 2*t^6.545*y - t^6.818*y + 3*t^7.364*y + 3*t^7.636*y + 4*t^7.909*y + 6*t^8.182*y + 7*t^8.455*y + 3*t^8.727*y	3*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^4.091 + 7*t^4.364 + 2*t^4.636 + 6*t^4.909 + 3*t^5.182 + 7*t^5.455 + 5*t^5.727 - t^6. + 4*t^6.273 + 13*t^6.545 + 4*t^6.818 + 12*t^7.091 + 6*t^7.364 + 15*t^7.636 + 9*t^7.909 - t^8.182 + 7*t^8.455 + 16*t^8.727 - t^4.364/y - (2*t^6.545)/y - t^6.818/y + (3*t^7.364)/y + (3*t^7.636)/y + (4*t^7.909)/y + (6*t^8.182)/y + (7*t^8.455)/y + (3*t^8.727)/y - t^4.364*y - 2*t^6.545*y - t^6.818*y + 3*t^7.364*y + 3*t^7.636*y + 4*t^7.909*y + 6*t^8.182*y + 7*t^8.455*y + 3*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
6196	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{8}$	0.6407	0.8282	0.7736	[M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 0.9091], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]]	3*t^2.182 + t^2.455 + 2*t^2.727 + t^3. + t^3.273 + t^3.545 + t^4.091 + 7*t^4.364 + 2*t^4.636 + 9*t^4.909 + 4*t^5.182 + 6*t^5.455 + 5*t^5.727 - t^6. - t^4.364/y - t^4.364*y	detail	{a: 3411/5324, c: 17637/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 10/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11}
6193	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}M_{8}$	0.6125	0.7773	0.788	[M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 1.2727], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]]	2*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.545 + t^3.818 + t^4.091 + 4*t^4.364 + t^4.636 + 5*t^4.909 + 2*t^5.182 + 5*t^5.455 + 4*t^5.727 + t^6. - t^4.364/y - t^4.364*y	detail	{a: 3261/5324, c: 16553/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 14/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11}
6197	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.6477	0.8409	0.7703	[M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 0.8182], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]]	3*t^2.182 + 2*t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^4.091 + 7*t^4.364 + 5*t^4.636 + 8*t^4.909 + 4*t^5.182 + 8*t^5.455 + 4*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 57/88, c: 37/44, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 9/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11}
6195	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}^{2}$	0.6241	0.8002	0.7799	[M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 1.0909], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]]	3*t^2.182 + t^2.455 + t^3. + 3*t^3.273 + t^3.545 + t^4.091 + 7*t^4.364 + 2*t^4.636 + 3*t^4.909 + 2*t^5.182 + 9*t^5.455 + 5*t^5.727 - 3*t^6. - t^4.364/y - t^4.364*y	detail	{a: 6645/10648, c: 17041/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 12/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, 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
2587	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$	0.6951	0.8732	0.796	[M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]]	t^2.103 + t^2.481 + t^2.551 + 3*t^2.622 + t^3. + t^3.897 + t^4.205 + 2*t^4.276 + t^4.416 + t^4.584 + 2*t^4.654 + 2*t^4.724 + t^4.795 + t^4.962 + t^5.032 + 4*t^5.103 + 5*t^5.173 + 5*t^5.243 + 2*t^5.551 + t^5.622 + t^5.93 - 3*t^6. - t^4.276/y - t^4.276*y	detail