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
57409	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$	1.3232	1.5482	0.8547	[X:[1.4], q:[0.5259, 0.337], qb:[0.4741, 0.263], phi:[0.4]]	[X:[[0]], q:[[2], [-1]], qb:[[-2], [1]], phi:[[0]]]	1	{a: 21171/16000, c: 24771/16000, X1: 7/5, q1: 71/135, q2: 91/270, qb1: 64/135, qb2: 71/270, phi1: 2/5}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$	3	t^2.367 + t^2.4 + t^2.433 + 2*t^3. + t^3.567 + t^3.6 + t^3.633 + 4*t^4.2 + t^4.733 + 2*t^4.767 + 3*t^4.8 + 3*t^4.833 + t^4.867 + 2*t^5.367 + 4*t^5.4 + t^5.433 + t^5.933 + 3*t^5.967 + 3*t^6. + 3*t^6.033 + t^6.067 + 5*t^6.567 + 6*t^6.6 + 4*t^6.633 + t^7.1 + 3*t^7.133 + 3*t^7.167 + 11*t^7.2 + 6*t^7.233 + 4*t^7.267 + t^7.3 + 2*t^7.733 + 8*t^7.767 + 6*t^7.8 + 6*t^7.833 + 2*t^7.867 + t^8.3 + 5*t^8.333 + 2*t^8.367 + 15*t^8.4 + 3*t^8.433 + 4*t^8.467 + t^8.5 + 4*t^8.933 + 11*t^8.967 - t^4.2/y - t^5.4/y - t^6.567/y - t^6.6/y - t^6.633/y - t^7.2/y + (2*t^8.367)/y - t^8.4/y + (2*t^8.433)/y - t^4.2*y - t^5.4*y - t^6.567*y - t^6.6*y - t^6.633*y - t^7.2*y + 2*t^8.367*y - t^8.4*y + 2*t^8.433*y	g1^3*t^2.367 + t^2.4 + t^2.433/g1^3 + 2*t^3. + g1^3*t^3.567 + t^3.6 + t^3.633/g1^3 + 4*t^4.2 + g1^6*t^4.733 + 2*g1^3*t^4.767 + 3*t^4.8 + (3*t^4.833)/g1^3 + t^4.867/g1^6 + 2*g1^3*t^5.367 + 4*t^5.4 + t^5.433/g1^3 + g1^6*t^5.933 + 3*g1^3*t^5.967 + 3*t^6. + (3*t^6.033)/g1^3 + t^6.067/g1^6 + 5*g1^3*t^6.567 + 6*t^6.6 + (4*t^6.633)/g1^3 + g1^9*t^7.1 + 3*g1^6*t^7.133 + 3*g1^3*t^7.167 + 11*t^7.2 + (6*t^7.233)/g1^3 + (4*t^7.267)/g1^6 + t^7.3/g1^9 + 2*g1^6*t^7.733 + 8*g1^3*t^7.767 + 6*t^7.8 + (6*t^7.833)/g1^3 + (2*t^7.867)/g1^6 + g1^9*t^8.3 + 5*g1^6*t^8.333 + 2*g1^3*t^8.367 + 15*t^8.4 + (3*t^8.433)/g1^3 + (4*t^8.467)/g1^6 + t^8.5/g1^9 + 4*g1^6*t^8.933 + 11*g1^3*t^8.967 - t^4.2/y - t^5.4/y - (g1^3*t^6.567)/y - t^6.6/y - t^6.633/(g1^3*y) - t^7.2/y + (2*g1^3*t^8.367)/y - t^8.4/y + (2*t^8.433)/(g1^3*y) - t^4.2*y - t^5.4*y - g1^3*t^6.567*y - t^6.6*y - (t^6.633*y)/g1^3 - t^7.2*y + 2*g1^3*t^8.367*y - t^8.4*y + (2*t^8.433*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
59658	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.3397	1.5772	0.8494	[X:[1.4], M:[0.8], q:[0.5259, 0.337], qb:[0.4741, 0.263], phi:[0.4]]	t^2.37 + 2*t^2.4 + t^2.43 + 2*t^3. + t^3.57 + t^3.63 + 4*t^4.2 + t^4.73 + 3*t^4.77 + 5*t^4.8 + 4*t^4.83 + t^4.87 + 2*t^5.37 + 6*t^5.4 + t^5.43 + t^5.93 + 3*t^5.97 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 4287/3200, c: 5047/3200, X1: 7/5, M1: 4/5, q1: 71/135, q2: 91/270, qb1: 64/135, qb2: 71/270, phi1: 2/5}
59050	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	1.323	1.548	0.8547	[X:[1.4], M:[], q:[0.5333, 0.3333], qb:[0.4667, 0.2667], phi:[0.4]]	3*t^2.4 + 2*t^3. + 3*t^3.6 + 4*t^4.2 + 10*t^4.8 + 7*t^5.4 + 11*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 1323/1000, c: 387/250, X1: 7/5, q1: 8/15, q2: 1/3, qb1: 7/15, qb2: 4/15, phi1: 2/5}

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
47898	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$	1.3298	1.5548	0.8553	[X:[1.4], q:[0.5, 0.3], qb:[0.5, 0.3], phi:[0.4]]	3*t^2.4 + 2*t^3. + 3*t^3.6 + 3*t^4.2 + 2*t^4.5 + 8*t^4.8 + 2*t^5.1 + 5*t^5.4 + 2*t^5.7 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 5319/4000, c: 6219/4000, X1: 7/5, q1: 1/2, q2: 3/10, qb1: 1/2, qb2: 3/10, phi1: 2/5}