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
57703	SU3adj1nf2	${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.3382	1.4989	0.8928	[X:[1.4286], M:[0.8571], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]]	[X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 459/343, c: 4113/2744, X1: 10/7, M1: 6/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$	${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	1	3*t^2.57 + 2*t^3.43 + 5*t^4.29 + 7*t^5.14 + 2*t^5.57 + t^6. + 6*t^6.43 + 11*t^6.86 + 19*t^7.71 - 2*t^8.14 + 12*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (3*t^6.43)/y - (4*t^7.29)/y - t^3.86*y - t^4.71*y - 3*t^6.43*y - 4*t^7.29*y + t^8.57*y^2	3*t^2.57 + (g1*t^3.43)/g2 + (g2*t^3.43)/g1 + 3*t^4.29 + (g1*t^4.29)/g2 + (g2*t^4.29)/g1 + 7*t^5.14 + t^5.57/(g1*g2^2) + g1*g2^2*t^5.57 - 3*t^6. + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + t^6.43/g2^3 + t^6.43/(g1*g2^2) + t^6.43/(g1^2*g2) + g1^2*g2*t^6.43 + g1*g2^2*t^6.43 + g2^3*t^6.43 + 7*t^6.86 + (g1^2*t^6.86)/g2^2 + (g1*t^6.86)/g2 + (g2*t^6.86)/g1 + (g2^2*t^6.86)/g1^2 + 13*t^7.71 + (g1^2*t^7.71)/g2^2 + (2*g1*t^7.71)/g2 + (2*g2*t^7.71)/g1 + (g2^2*t^7.71)/g1^2 - t^8.14/g2^3 + t^8.14/(g1*g2^2) - t^8.14/(g1^2*g2) - g1^2*g2*t^8.14 + g1*g2^2*t^8.14 - g2^3*t^8.14 - 2*t^8.57 + (g1^2*t^8.57)/g2^2 + (6*g1*t^8.57)/g2 + (6*g2*t^8.57)/g1 + (g2^2*t^8.57)/g1^2 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (3*t^6.43)/y - (2*t^7.29)/y - (g1*t^7.29)/(g2*y) - (g2*t^7.29)/(g1*y) + (2*t^8.14)/y - (g1*t^8.14)/(g2*y) - (g2*t^8.14)/(g1*y) - t^3.86*y - t^4.71*y - 3*t^6.43*y - 2*t^7.29*y - (g1*t^7.29*y)/g2 - (g2*t^7.29*y)/g1 + 2*t^8.14*y - (g1*t^8.14*y)/g2 - (g2*t^8.14*y)/g1 + t^8.57*y^2

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
58627	${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.3521	1.5239	0.8873	[X:[1.4286], M:[0.8571, 0.8223], q:[0.6911, 0.4402], qb:[0.7375, 0.417], phi:[0.2857]]	t^2.47 + 3*t^2.57 + t^3.32 + t^4.18 + 3*t^4.29 + t^4.39 + t^4.93 + 3*t^5.04 + 7*t^5.14 + 2*t^5.57 + t^5.79 + 2*t^5.9 - 3*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*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
47945	SU3adj1nf2	${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	1.3256	1.4774	0.8973	[X:[1.4286], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]]	2*t^2.571 + 3*t^3.429 + 5*t^4.286 + 4*t^5.143 + 2*t^5.571 + t^6. - t^3.857/y - t^4.714/y - t^3.857*y - t^4.714*y	detail	{a: 7275/5488, c: 2027/1372, X1: 10/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7}