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
59041	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.0052	1.2248	0.8207	[X:[1.4988, 1.4861, 1.5139, 1.5012], M:[0.7494, 0.7367], q:[0.246, 0.2587], qb:[0.2553, 0.2401], phi:[0.5]]	[X:[[0, -2], [-3, 0], [3, 0], [0, 2]], M:[[0, -1], [-3, 1]], q:[[-1, 1], [2, -1]], qb:[[1, 1], [-2, -1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{4}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.21 + t^2.25 + t^2.96 + 3*t^3. + t^3.04 + t^3.71 + t^3.75 + t^4.42 + 3*t^4.46 + 6*t^4.5 + 2*t^4.54 + t^5.17 + 5*t^5.21 + t^5.24 + 5*t^5.25 + 2*t^5.29 + 2*t^5.92 + t^5.95 + t^5.96 + t^5.99 - t^6. + t^6.01 + t^6.08 + t^6.63 + 2*t^6.66 + 3*t^6.67 + t^6.7 + 10*t^6.71 + 3*t^6.74 + 4*t^6.75 + t^6.76 + t^6.79 + t^6.8 + t^6.83 + t^7.38 + t^7.41 + 7*t^7.42 + 6*t^7.45 + 10*t^7.46 + 3*t^7.49 + 14*t^7.5 + 2*t^7.51 + 6*t^7.54 + 3*t^7.55 + 2*t^7.58 + 2*t^8.13 + 2*t^8.16 + t^8.17 + 3*t^8.2 - t^8.21 + t^8.22 + t^8.24 - 2*t^8.25 + t^8.26 - 2*t^8.29 - t^8.3 - t^8.33 + t^8.84 + 3*t^8.87 + 3*t^8.88 + 4*t^8.91 + 13*t^8.92 + 8*t^8.95 + 3*t^8.96 + t^8.97 + 7*t^8.99 - t^4.5/y - t^6./y - t^6.71/y - t^6.75/y + t^7.46/y + t^7.5/y + t^8.17/y + (3*t^8.21)/y + t^8.24/y + (3*t^8.25)/y + (2*t^8.29)/y + (2*t^8.95)/y - t^4.5*y - t^6.*y - t^6.71*y - t^6.75*y + t^7.46*y + t^7.5*y + t^8.17*y + 3*t^8.21*y + t^8.24*y + 3*t^8.25*y + 2*t^8.29*y + 2*t^8.95*y	(g2*t^2.21)/g1^3 + t^2.25/g2 + t^2.96/g1^3 + t^3. + t^3./g2^2 + g2^2*t^3. + g1^3*t^3.04 + t^3.71/(g1^3*g2) + g2*t^3.75 + (g2^2*t^4.42)/g1^6 + (3*t^4.46)/g1^3 + t^4.5 + (3*t^4.5)/g2^2 + 2*g2^2*t^4.5 + 2*g1^3*t^4.54 + (g2*t^5.17)/g1^6 + (3*t^5.21)/(g1^3*g2) + (g2*t^5.21)/g1^3 + (g2^3*t^5.21)/g1^3 + t^5.24/g2^3 + t^5.25/g2 + 4*g2*t^5.25 + (2*g1^3*t^5.29)/g2 + (2*t^5.92)/g1^6 + t^5.95/(g1^3*g2^2) + (g2^2*t^5.96)/g1^3 + t^5.99/g2^4 - t^6. + g2^4*t^6.01 + g1^6*t^6.08 + (g2^3*t^6.63)/g1^9 + t^6.66/(g1^6*g2^3) + t^6.66/(g1^6*g2) + (3*g2*t^6.67)/g1^6 + t^6.7/(g1^3*g2^3) + (6*t^6.71)/(g1^3*g2) + (g2*t^6.71)/g1^3 + (3*g2^3*t^6.71)/g1^3 + (3*t^6.74)/g2^3 - t^6.75/g2 + 5*g2*t^6.75 + g2^3*t^6.76 + (2*g1^3*t^6.79)/g2 - g1^3*g2*t^6.79 + g1^3*g2^3*t^6.8 + (g1^6*t^6.83)/g2^3 + (g2^2*t^7.38)/g1^9 + t^7.41/(g1^6*g2^2) + (5*t^7.42)/g1^6 + (g2^2*t^7.42)/g1^6 + (g2^4*t^7.42)/g1^6 + (6*t^7.45)/(g1^3*g2^2) + (3*t^7.46)/g1^3 + (7*g2^2*t^7.46)/g1^3 + (3*t^7.49)/g2^4 + 10*t^7.5 + (2*t^7.5)/g2^2 + 2*g2^2*t^7.5 + 2*g2^4*t^7.51 + g1^3*t^7.54 + (5*g1^3*t^7.54)/g2^2 + 3*g1^3*g2^2*t^7.55 + 2*g1^6*t^7.58 + (2*g2*t^8.13)/g1^9 - t^8.16/(g1^6*g2^3) + (3*t^8.16)/(g1^6*g2) + (g2^3*t^8.17)/g1^6 + (3*t^8.2)/(g1^3*g2^3) - (g2^3*t^8.21)/g1^3 + (g2^5*t^8.22)/g1^3 + t^8.24/g2^5 - t^8.25/g2 - g2*t^8.25 + g2^3*t^8.26 - (g1^3*t^8.29)/g2^3 - (g1^3*t^8.29)/g2 - g1^3*g2^3*t^8.3 - (g1^6*t^8.33)/g2^3 + (g2^4*t^8.84)/g1^12 + (2*t^8.87)/g1^9 + t^8.87/(g1^9*g2^2) + (3*g2^2*t^8.88)/g1^9 + t^8.91/(g1^6*g2^4) + (3*t^8.91)/(g1^6*g2^2) + (9*t^8.92)/g1^6 + (g2^2*t^8.92)/g1^6 + (3*g2^4*t^8.92)/g1^6 + t^8.95/(g1^3*g2^4) + (7*t^8.95)/(g1^3*g2^2) - (4*t^8.96)/g1^3 + (7*g2^2*t^8.96)/g1^3 + (g2^4*t^8.97)/g1^3 + t^8.99/g2^6 + (6*t^8.99)/g2^4 - t^4.5/y - t^6./y - (g2*t^6.71)/(g1^3*y) - t^6.75/(g2*y) + t^7.46/(g1^3*y) + t^7.5/y + (g2*t^8.17)/(g1^6*y) + (2*t^8.21)/(g1^3*g2*y) + (g2^3*t^8.21)/(g1^3*y) + t^8.24/(g2^3*y) + (3*g2*t^8.25)/y + (2*g1^3*t^8.29)/(g2*y) + t^8.92/(g1^6*y) - (g2^2*t^8.92)/(g1^6*y) + (2*t^8.95)/(g1^3*g2^2*y) - (2*t^8.96)/(g1^3*y) + (2*g2^2*t^8.96)/(g1^3*y) - t^4.5*y - t^6.*y - (g2*t^6.71*y)/g1^3 - (t^6.75*y)/g2 + (t^7.46*y)/g1^3 + t^7.5*y + (g2*t^8.17*y)/g1^6 + (2*t^8.21*y)/(g1^3*g2) + (g2^3*t^8.21*y)/g1^3 + (t^8.24*y)/g2^3 + 3*g2*t^8.25*y + (2*g1^3*t^8.29*y)/g2 + (t^8.92*y)/g1^6 - (g2^2*t^8.92*y)/g1^6 + (2*t^8.95*y)/(g1^3*g2^2) - (2*t^8.96*y)/g1^3 + (2*g2^2*t^8.96*y)/g1^3

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
61196	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	0.9366	1.1439	0.8187	[X:[1.6347, 1.6826, 1.3174, 1.3653], M:[0.8174, 0.8653], q:[0.2435, 0.1956], qb:[0.1218, 0.4391], phi:[0.5]]	2*t^2.45 + 2*t^2.6 + t^3. + t^3.4 + 2*t^3.55 + 2*t^3.95 + 2*t^4.1 + 2*t^4.5 + 6*t^4.9 + 7*t^5.05 + 3*t^5.19 + t^5.45 + 2*t^5.6 + t^5.86 + t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*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
57747	SU3adj1nf2	${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$	1.0062	1.2289	0.8188	[X:[1.5, 1.5, 1.5, 1.5], M:[0.7183, 0.7183], q:[0.2606, 0.2606], qb:[0.2394, 0.2394], phi:[0.5]]	2*t^2.15 + 5*t^3. + 2*t^3.65 + 3*t^4.31 + 9*t^4.5 + 12*t^5.15 + 2*t^5.35 + 4*t^5.81 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y	detail