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
46372	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6683	0.8627	0.7747	[M:[1.1103, 0.7206, 0.7794, 0.7794], q:[0.75, 0.4191], qb:[0.3603, 0.4706], phi:[0.5]]	[M:[[1], [2], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$	${}$	-2	t^2.162 + 3*t^2.338 + t^2.493 + t^3. + 2*t^3.331 + t^3.507 + t^3.993 + t^4.015 + t^4.169 + 2*t^4.323 + 3*t^4.5 + t^4.654 + 6*t^4.677 + 3*t^4.831 + t^4.985 + t^5.162 + 3*t^5.338 + 3*t^5.493 + 6*t^5.669 + t^5.823 + 2*t^5.846 - 2*t^6. + 3*t^6.331 + 3*t^6.353 + 3*t^6.485 + 3*t^6.507 + 7*t^6.662 + 2*t^6.816 + 6*t^6.838 + 2*t^6.993 + 11*t^7.015 + t^7.147 + 3*t^7.169 + 4*t^7.323 + t^7.478 + 2*t^7.5 + t^7.522 + 3*t^7.654 + 4*t^7.677 + 6*t^7.831 + 2*t^7.985 + 10*t^8.007 + t^8.03 - t^8.162 + 4*t^8.184 + 2*t^8.316 - 6*t^8.338 - t^8.493 + 3*t^8.647 + 4*t^8.669 + 6*t^8.691 + 8*t^8.823 + 5*t^8.846 + 3*t^8.978 - t^4.5/y - t^6.662/y - (2*t^6.838)/y + t^7.169/y + (3*t^7.5)/y + t^7.654/y + (3*t^7.677)/y + (2*t^7.831)/y + (3*t^8.162)/y + (4*t^8.338)/y + (3*t^8.493)/y + (7*t^8.669)/y + t^8.823/y + (3*t^8.846)/y - t^4.5*y - t^6.662*y - 2*t^6.838*y + t^7.169*y + 3*t^7.5*y + t^7.654*y + 3*t^7.677*y + 2*t^7.831*y + 3*t^8.162*y + 4*t^8.338*y + 3*t^8.493*y + 7*t^8.669*y + t^8.823*y + 3*t^8.846*y	g1^2*t^2.162 + (3*t^2.338)/g1^2 + g1^3*t^2.493 + t^3. + 2*g1*t^3.331 + t^3.507/g1^3 + g1^3*t^3.993 + t^4.015/g1^6 + t^4.169/g1 + 2*g1^4*t^4.323 + 3*t^4.5 + g1^5*t^4.654 + (6*t^4.677)/g1^4 + 3*g1*t^4.831 + g1^6*t^4.985 + g1^2*t^5.162 + (3*t^5.338)/g1^2 + 3*g1^3*t^5.493 + (6*t^5.669)/g1 + g1^4*t^5.823 + (2*t^5.846)/g1^5 - 2*t^6. + 3*g1*t^6.331 + (3*t^6.353)/g1^8 + 3*g1^6*t^6.485 + (3*t^6.507)/g1^3 + 7*g1^2*t^6.662 + 2*g1^7*t^6.816 + (6*t^6.838)/g1^2 + 2*g1^3*t^6.993 + (11*t^7.015)/g1^6 + g1^8*t^7.147 + (3*t^7.169)/g1 + 4*g1^4*t^7.323 + g1^9*t^7.478 + 2*t^7.5 + t^7.522/g1^9 + 3*g1^5*t^7.654 + (4*t^7.677)/g1^4 + 6*g1*t^7.831 + 2*g1^6*t^7.985 + (10*t^8.007)/g1^3 + t^8.03/g1^12 - g1^2*t^8.162 + (4*t^8.184)/g1^7 + 2*g1^7*t^8.316 - (6*t^8.338)/g1^2 - g1^3*t^8.493 + 3*g1^8*t^8.647 + (4*t^8.669)/g1 + (6*t^8.691)/g1^10 + 8*g1^4*t^8.823 + (5*t^8.846)/g1^5 + 3*g1^9*t^8.978 - t^4.5/y - (g1^2*t^6.662)/y - (2*t^6.838)/(g1^2*y) + t^7.169/(g1*y) + (3*t^7.5)/y + (g1^5*t^7.654)/y + (3*t^7.677)/(g1^4*y) + (2*g1*t^7.831)/y + (3*g1^2*t^8.162)/y + (4*t^8.338)/(g1^2*y) + (3*g1^3*t^8.493)/y + (7*t^8.669)/(g1*y) + (g1^4*t^8.823)/y + (3*t^8.846)/(g1^5*y) - t^4.5*y - g1^2*t^6.662*y - (2*t^6.838*y)/g1^2 + (t^7.169*y)/g1 + 3*t^7.5*y + g1^5*t^7.654*y + (3*t^7.677*y)/g1^4 + 2*g1*t^7.831*y + 3*g1^2*t^8.162*y + (4*t^8.338*y)/g1^2 + 3*g1^3*t^8.493*y + (7*t^8.669*y)/g1 + g1^4*t^8.823*y + (3*t^8.846*y)/g1^5

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
47138	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6891	0.9042	0.7621	[M:[1.1104, 0.7208, 0.7792, 0.7792, 0.6688], q:[0.75, 0.4188], qb:[0.3604, 0.4708], phi:[0.5]]	t^2.006 + t^2.162 + 3*t^2.338 + t^2.494 + t^3. + 2*t^3.331 + t^3.506 + 2*t^4.013 + 2*t^4.169 + 2*t^4.325 + 3*t^4.344 + 4*t^4.5 + t^4.656 + 6*t^4.675 + 3*t^4.831 + t^4.987 + t^5.006 + t^5.162 + 5*t^5.338 + 3*t^5.494 + t^5.513 + 6*t^5.669 + t^5.825 + 2*t^5.844 - 2*t^6. - t^4.5/y - t^4.5*y	detail

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
46130	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$	0.6508	0.8317	0.7826	[M:[1.1068, 0.7136, 0.7864], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]]	t^2.141 + 2*t^2.359 + t^2.461 + t^3. + 2*t^3.32 + t^3.539 + t^3.641 + t^3.961 + t^4.078 + t^4.18 + 2*t^4.281 + 2*t^4.5 + t^4.602 + 3*t^4.719 + 2*t^4.82 + t^4.922 + t^5.141 + 2*t^5.359 + 3*t^5.461 + 4*t^5.68 + 2*t^5.781 + t^5.898 - t^4.5/y - t^4.5*y	detail