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
3341	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$	0.6122	0.7852	0.7796	[M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]]	[M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 21519/35152, c: 27603/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$	${}\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	-1	t^2.077 + t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 4*t^4.846 + 6*t^5.077 + 5*t^5.308 + 5*t^5.538 + t^5.769 - t^6. + 2*t^6.231 + 3*t^6.462 + 6*t^6.692 + 5*t^6.923 + 7*t^7.154 + 9*t^7.385 + 11*t^7.615 + 10*t^7.846 + 7*t^8.077 + 5*t^8.308 - 4*t^8.538 - t^8.769 - t^4.385/y - t^6.462/y - t^6.923/y - t^7.154/y + t^7.385/y + (3*t^7.615)/y + (5*t^7.846)/y + (4*t^8.077)/y + (6*t^8.308)/y + (2*t^8.538)/y + (3*t^8.769)/y - t^4.385*y - t^6.462*y - t^6.923*y - t^7.154*y + t^7.385*y + 3*t^7.615*y + 5*t^7.846*y + 4*t^8.077*y + 6*t^8.308*y + 2*t^8.538*y + 3*t^8.769*y	t^2.077 + t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 4*t^4.615 + 4*t^4.846 + 6*t^5.077 + 5*t^5.308 + 5*t^5.538 + t^5.769 - t^6. + 2*t^6.231 + 3*t^6.462 + 6*t^6.692 + 5*t^6.923 + 7*t^7.154 + 9*t^7.385 + 11*t^7.615 + 10*t^7.846 + 7*t^8.077 + 5*t^8.308 - 4*t^8.538 - t^8.769 - t^4.385/y - t^6.462/y - t^6.923/y - t^7.154/y + t^7.385/y + (3*t^7.615)/y + (5*t^7.846)/y + (4*t^8.077)/y + (6*t^8.308)/y + (2*t^8.538)/y + (3*t^8.769)/y - t^4.385*y - t^6.462*y - t^6.923*y - t^7.154*y + t^7.385*y + 3*t^7.615*y + 5*t^7.846*y + 4*t^8.077*y + 6*t^8.308*y + 2*t^8.538*y + 3*t^8.769*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
3782	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$	0.5915	0.7454	0.7936	[M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 1.3077], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]]	t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + 2*t^3.923 + t^4.154 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 5*t^5.308 + 5*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 20793/35152, c: 26201/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 17/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13}
3787	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$	0.6328	0.8251	0.7669	[M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]]	2*t^2.077 + t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.692 + 4*t^4.154 + 2*t^4.385 + 6*t^4.615 + 6*t^4.846 + 7*t^5.077 + 5*t^5.308 + 5*t^5.538 + 2*t^5.769 - 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 22245/35152, c: 29005/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13}
3786	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$	0.6303	0.8178	0.7707	[M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.7692], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]]	t^2.077 + 2*t^2.308 + 2*t^2.538 + 2*t^2.769 + t^3. + t^3.923 + 2*t^4.154 + 2*t^4.385 + 6*t^4.615 + 6*t^4.846 + 8*t^5.077 + 6*t^5.308 + 5*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 11079/17576, c: 28749/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 10/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13}

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
2813	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$	0.5988	0.7622	0.7855	[M:[1.0, 0.8462, 1.1538, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]]	t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 3*t^4.615 + 3*t^4.846 + 4*t^5.077 + 3*t^5.308 + 5*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y	detail	{a: 2631/4394, c: 13397/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13}