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
47896	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$	0.9308	1.1183	0.8323	[X:[1.4226, 1.5774, 1.4226, 1.5774], q:[0.3849, 0.2302], qb:[0.1925, 0.1925], phi:[0.5]]	[X:[[0, -3], [-3, 0], [3, 0], [0, 3]], q:[[-1, 1], [2, -2]], qb:[[1, 2], [-2, -1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	1	2*t^2.768 + t^3. + 4*t^3.232 + t^4.036 + 4*t^4.268 + 2*t^4.5 + 6*t^4.732 + 3*t^5.536 + t^6. + 4*t^6.232 + 7*t^6.464 + t^6.572 + 2*t^6.804 + 8*t^7.036 + 4*t^7.268 + 16*t^7.5 + 4*t^7.732 + 16*t^7.964 + 4*t^8.304 + 8*t^8.536 - 2*t^8.768 - t^4.5/y - t^6./y + t^7.5/y + t^8.536/y - (2*t^8.768)/y - t^4.5*y - t^6.*y + t^7.5*y + t^8.536*y - 2*t^8.768*y	g1^3*t^2.768 + t^2.768/g2^3 + t^3. + (2*t^3.232)/g1^3 + 2*g2^3*t^3.232 + (g1^3*t^4.036)/g2^3 + 2*g1^3*t^4.268 + (2*t^4.268)/g2^3 + 2*t^4.5 + (3*t^4.732)/g1^3 + 3*g2^3*t^4.732 + g1^6*t^5.536 + t^5.536/g2^6 + (g1^3*t^5.536)/g2^3 - t^6. + t^6./(g1^3*g2^3) + g1^3*g2^3*t^6. + t^6.232/g1^3 + t^6.232/(g1^6*g2^3) + g2^3*t^6.232 + g1^3*g2^6*t^6.232 + (3*t^6.464)/g1^6 + (g2^3*t^6.464)/g1^3 + 3*g2^6*t^6.464 + (g1^6*t^6.572)/g2^6 + (g1^3*t^6.804)/g2^6 + (g1^6*t^6.804)/g2^3 + 2*g1^6*t^7.036 + (2*t^7.036)/g2^6 + (4*g1^3*t^7.036)/g2^3 + 2*g1^3*t^7.268 + (2*t^7.268)/g2^3 + 8*t^7.5 + (4*t^7.5)/(g1^3*g2^3) + 4*g1^3*g2^3*t^7.5 + (3*t^7.732)/g1^3 - t^7.732/(g1^6*g2^3) + 3*g2^3*t^7.732 - g1^3*g2^6*t^7.732 + (4*t^7.964)/g1^6 + (8*g2^3*t^7.964)/g1^3 + 4*g2^6*t^7.964 + g1^9*t^8.304 + t^8.304/g2^9 + (g1^3*t^8.304)/g2^6 + (g1^6*t^8.304)/g2^3 + 3*g1^6*t^8.536 + (3*t^8.536)/g2^6 + (2*g1^3*t^8.536)/g2^3 - 2*g1^3*t^8.768 + t^8.768/(g1^3*g2^6) - (2*t^8.768)/g2^3 + g1^6*g2^3*t^8.768 - t^4.5/y - t^6./y + t^7.5/y + (g1^3*t^8.536)/(g2^3*y) - (g1^3*t^8.768)/y - t^8.768/(g2^3*y) - t^4.5*y - t^6.*y + t^7.5*y + (g1^3*t^8.536*y)/g2^3 - g1^3*t^8.768*y - (t^8.768*y)/g2^3

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
57477	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$	0.9393	1.1336	0.8286	[X:[1.426, 1.6092, 1.3908, 1.574], M:[0.8908], q:[0.3944, 0.2112], qb:[0.1796, 0.2148], phi:[0.5]]	2*t^2.67 + t^2.78 + t^3. + 2*t^3.22 + t^3.33 + t^3.95 + 2*t^4.17 + 2*t^4.28 + 2*t^4.5 + 3*t^4.72 + 3*t^4.83 + 3*t^5.34 + 2*t^5.45 + t^5.56 + t^5.67 + 3*t^5.89 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail
57442	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	0.9141	1.1016	0.8298	[X:[1.5, 1.5, 1.5, 1.5], q:[0.3333, 0.3333], qb:[0.1667, 0.1667], phi:[0.5]]	7*t^3. + 13*t^4.5 + 15*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail	{a: 117/128, c: 141/128, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, q1: 1/3, q2: 1/3, qb1: 1/6, qb2: 1/6, phi1: 1/2}
57435	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$	0.9229	1.1104	0.8311	[X:[1.4167, 1.5, 1.5, 1.5833], q:[0.3611, 0.2778], qb:[0.2222, 0.1389], phi:[0.5]]	t^2.75 + 4*t^3. + 2*t^3.25 + 3*t^4.25 + 7*t^4.5 + 3*t^4.75 + t^5.5 + 3*t^5.75 + 4*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail	{a: 945/1024, c: 1137/1024, X1: 17/12, X2: 3/2, X3: 3/2, X4: 19/12, q1: 13/36, q2: 5/18, qb1: 2/9, qb2: 5/36, phi1: 1/2}

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
47877	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$	0.9668	1.1543	0.8376	[X:[1.5, 1.5, 1.5, 1.5], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]]	5*t^3. + 4*t^3.75 + 9*t^4.5 + 4*t^5.25 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail	{a: 495/512, c: 591/512, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2}