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
4601	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}^{2}$	0.6949	0.8597	0.8083	[M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.1818], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]]	[M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 14799/21296, c: 4577/5324, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 13/11, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$	${}M_{5}^{2}$, ${ }M_{6}M_{7}$	0	t^2.182 + t^2.455 + t^2.727 + 2*t^3. + t^3.273 + 2*t^3.545 + t^4.091 + 3*t^4.364 + 2*t^4.636 + 4*t^4.909 + 4*t^5.182 + 3*t^5.455 + 3*t^5.727 + 3*t^6.273 + 5*t^6.545 + 3*t^6.818 + 8*t^7.091 + 6*t^7.364 + 7*t^7.636 + 8*t^7.909 + 4*t^8.182 + 4*t^8.455 + 5*t^8.727 - t^4.364/y - t^6.545/y - t^6.818/y + t^7.636/y + (2*t^7.909)/y + (4*t^8.182)/y + (3*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - t^6.818*y + t^7.636*y + 2*t^7.909*y + 4*t^8.182*y + 3*t^8.455*y + 4*t^8.727*y	t^2.182 + t^2.455 + t^2.727 + 2*t^3. + t^3.273 + 2*t^3.545 + t^4.091 + 3*t^4.364 + 2*t^4.636 + 4*t^4.909 + 4*t^5.182 + 3*t^5.455 + 3*t^5.727 + 3*t^6.273 + 5*t^6.545 + 3*t^6.818 + 8*t^7.091 + 6*t^7.364 + 7*t^7.636 + 8*t^7.909 + 4*t^8.182 + 4*t^8.455 + 5*t^8.727 - t^4.364/y - t^6.545/y - t^6.818/y + t^7.636/y + (2*t^7.909)/y + (4*t^8.182)/y + (3*t^8.455)/y + (4*t^8.727)/y - t^4.364*y - t^6.545*y - t^6.818*y + t^7.636*y + 2*t^7.909*y + 4*t^8.182*y + 3*t^8.455*y + 4*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
6121	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}^{2}$ + ${ }M_{2}M_{8}$	0.6751	0.8228	0.8205	[M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.1818, 1.2727], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]]	t^2.455 + t^2.727 + 2*t^3. + t^3.273 + 2*t^3.545 + t^3.818 + t^4.091 + 2*t^4.364 + t^4.636 + 3*t^4.909 + 2*t^5.182 + 2*t^5.455 + t^5.727 - t^4.364/y - t^4.364*y	detail	{a: 1797/2662, c: 8761/10648, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 13/11, M8: 14/11, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11}
6122	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}^{2}$ + ${ }M_{6}M_{8}$	0.6796	0.833	0.8158	[M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.1818, 1.1818], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]]	t^2.182 + t^2.727 + 2*t^3. + t^3.273 + 3*t^3.545 + t^4.091 + 3*t^4.364 + t^4.636 + 3*t^4.909 + 3*t^5.182 + t^5.455 + 3*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y	detail	{a: 1809/2662, c: 17739/21296, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 13/11, M8: 13/11, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11}
6123	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}^{2}$ + ${ }M_{8}\phi_{1}^{2}$	0.6866	0.8457	0.8119	[M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.1818, 1.0909], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]]	t^2.182 + t^2.455 + 2*t^3. + 2*t^3.273 + 2*t^3.545 + t^4.091 + 3*t^4.364 + 2*t^4.636 + 3*t^4.909 + 3*t^5.182 + 3*t^5.455 + 2*t^5.727 - t^6. - t^4.364/y - t^4.364*y	detail	{a: 7311/10648, c: 9005/10648, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 13/11, M8: 12/11, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, 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
2552	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$	0.7003	0.8676	0.8071	[M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]]	t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y	detail