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
2709	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.6466	0.8276	0.7814	[M:[1.105, 0.75, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]]	[M:[[1], [0], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$	${}$	-2	3*t^2.25 + t^2.565 + t^3. + 2*t^3.315 + t^3.435 + t^3.63 + t^3.87 + t^4.065 + t^4.185 + 7*t^4.5 + 3*t^4.815 + t^5.13 + 3*t^5.25 + 6*t^5.565 + 2*t^5.685 + 4*t^5.88 - 2*t^6. + 2*t^6.12 + t^6.195 + 2*t^6.315 + 2*t^6.435 + 4*t^6.63 + 12*t^6.75 + t^6.87 + 2*t^6.945 + 5*t^7.065 - t^7.185 + t^7.26 + t^7.305 + 3*t^7.38 + 5*t^7.5 - t^7.62 + 2*t^7.695 + t^7.74 + 11*t^7.815 + t^7.935 + t^8.055 + 10*t^8.13 - 8*t^8.25 + 4*t^8.37 + 4*t^8.445 + t^8.565 + 2*t^8.685 + t^8.76 + 8*t^8.88 - t^4.5/y - (2*t^6.75)/y + t^7.185/y + (3*t^7.5)/y + (2*t^7.815)/y + (5*t^8.25)/y + (7*t^8.565)/y + (3*t^8.685)/y + (5*t^8.88)/y - t^4.5*y - 2*t^6.75*y + t^7.185*y + 3*t^7.5*y + 2*t^7.815*y + 5*t^8.25*y + 7*t^8.565*y + 3*t^8.685*y + 5*t^8.88*y	3*t^2.25 + g1*t^2.565 + t^3. + 2*g1*t^3.315 + t^3.435/g1 + g1^2*t^3.63 + t^3.87/g1^2 + g1*t^4.065 + t^4.185/g1 + 7*t^4.5 + 3*g1*t^4.815 + g1^2*t^5.13 + 3*t^5.25 + 6*g1*t^5.565 + (2*t^5.685)/g1 + 4*g1^2*t^5.88 - 2*t^6. + (2*t^6.12)/g1^2 + g1^3*t^6.195 + 2*g1*t^6.315 + (2*t^6.435)/g1 + 4*g1^2*t^6.63 + 12*t^6.75 + t^6.87/g1^2 + 2*g1^3*t^6.945 + 5*g1*t^7.065 - t^7.185/g1 + g1^4*t^7.26 + t^7.305/g1^3 + 3*g1^2*t^7.38 + 5*t^7.5 - t^7.62/g1^2 + 2*g1^3*t^7.695 + t^7.74/g1^4 + 11*g1*t^7.815 + t^7.935/g1 + t^8.055/g1^3 + 10*g1^2*t^8.13 - 8*t^8.25 + (4*t^8.37)/g1^2 + 4*g1^3*t^8.445 + g1*t^8.565 + (2*t^8.685)/g1 + g1^4*t^8.76 + 8*g1^2*t^8.88 - t^4.5/y - (2*t^6.75)/y + t^7.185/(g1*y) + (3*t^7.5)/y + (2*g1*t^7.815)/y + (5*t^8.25)/y + (7*g1*t^8.565)/y + (3*t^8.685)/(g1*y) + (5*g1^2*t^8.88)/y - t^4.5*y - 2*t^6.75*y + (t^7.185*y)/g1 + 3*t^7.5*y + 2*g1*t^7.815*y + 5*t^8.25*y + 7*g1*t^8.565*y + (3*t^8.685*y)/g1 + 5*g1^2*t^8.88*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
3217	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$	0.657	0.8445	0.778	[M:[1.125, 0.75, 0.75, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]]	3*t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 2*t^3.75 + 2*t^4.125 + 7*t^4.5 + 6*t^4.875 + 6*t^5.25 + 6*t^5.625 + 5*t^6. - t^4.5/y - t^4.5*y	detail	{a: 2691/4096, c: 3459/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2}
3216	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6671	0.8676	0.7689	[M:[1.0975, 0.75, 0.75, 0.6949], q:[0.75, 0.4025], qb:[0.5, 0.3475], phi:[0.5]]	t^2.085 + 3*t^2.25 + t^2.542 + t^3. + 2*t^3.292 + t^3.458 + t^3.585 + t^4.042 + t^4.17 + t^4.208 + 3*t^4.335 + 7*t^4.5 + t^4.627 + 3*t^4.792 + 2*t^5.085 + 3*t^5.25 + 2*t^5.377 + 7*t^5.542 + t^5.67 + 2*t^5.708 + 4*t^5.835 - 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
1713	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$	0.6276	0.7929	0.7915	[M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.5, 0.355], phi:[0.5]]	2*t^2.25 + t^2.565 + t^3. + 2*t^3.315 + t^3.435 + t^3.63 + t^3.75 + t^3.87 + t^4.065 + t^4.185 + 4*t^4.5 + 2*t^4.815 + t^5.13 + 2*t^5.25 + 4*t^5.565 + t^5.685 + 3*t^5.88 - t^4.5/y - t^4.5*y	detail