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
57408	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$	1.2814	1.5064	0.8506	[X:[1.4], q:[0.6273, 0.3455], qb:[0.3727, 0.2545], phi:[0.4]]	[X:[[0]], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]]	1	{a: 225531/176000, c: 265131/176000, X1: 7/5, q1: 69/110, q2: 19/55, qb1: 41/110, qb2: 14/55, phi1: 2/5}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	${3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	3	t^2.155 + t^2.4 + t^2.645 + 2*t^3. + t^3.355 + t^3.6 + 2*t^3.845 + 4*t^4.2 + t^4.309 + 2*t^4.555 + 2*t^4.8 + 3*t^5.045 + 2*t^5.155 + t^5.291 + 4*t^5.4 + t^5.509 + t^5.645 + 2*t^5.755 + t^5.891 + 3*t^6. + 4*t^6.245 + 5*t^6.355 + t^6.464 + 2*t^6.491 + 6*t^6.6 + 4*t^6.709 + 4*t^6.845 + 4*t^6.955 + 10*t^7.2 + 2*t^7.309 + 4*t^7.445 + 8*t^7.555 + t^7.664 + 5*t^7.691 + 5*t^7.8 + 3*t^7.909 + t^7.936 + 9*t^8.045 + 2*t^8.155 + t^8.291 + 16*t^8.4 + 4*t^8.509 + t^8.536 + t^8.618 + 3*t^8.645 + 9*t^8.755 + 4*t^8.864 + 8*t^8.891 - t^4.2/y - t^5.4/y - t^6.355/y - t^6.6/y - t^6.845/y - t^7.2/y + (2*t^8.155)/y - t^8.4/y + (2*t^8.645)/y - t^4.2*y - t^5.4*y - t^6.355*y - t^6.6*y - t^6.845*y - t^7.2*y + 2*t^8.155*y - t^8.4*y + 2*t^8.645*y	t^2.155/g1^3 + t^2.4 + g1^3*t^2.645 + 2*t^3. + t^3.355/g1^3 + t^3.6 + 2*g1^3*t^3.845 + 4*t^4.2 + t^4.309/g1^6 + (2*t^4.555)/g1^3 + 2*t^4.8 + 3*g1^3*t^5.045 + (2*t^5.155)/g1^3 + g1^6*t^5.291 + 4*t^5.4 + t^5.509/g1^6 + g1^3*t^5.645 + (2*t^5.755)/g1^3 + g1^6*t^5.891 + 3*t^6. + 4*g1^3*t^6.245 + (5*t^6.355)/g1^3 + t^6.464/g1^9 + 2*g1^6*t^6.491 + 6*t^6.6 + (4*t^6.709)/g1^6 + 4*g1^3*t^6.845 + (4*t^6.955)/g1^3 + 10*t^7.2 + (2*t^7.309)/g1^6 + 4*g1^3*t^7.445 + (8*t^7.555)/g1^3 + t^7.664/g1^9 + 5*g1^6*t^7.691 + 5*t^7.8 + (3*t^7.909)/g1^6 + g1^9*t^7.936 + 9*g1^3*t^8.045 + (2*t^8.155)/g1^3 + g1^6*t^8.291 + 16*t^8.4 + (4*t^8.509)/g1^6 + g1^9*t^8.536 + t^8.618/g1^12 + 3*g1^3*t^8.645 + (9*t^8.755)/g1^3 + (4*t^8.864)/g1^9 + 8*g1^6*t^8.891 - t^4.2/y - t^5.4/y - t^6.355/(g1^3*y) - t^6.6/y - (g1^3*t^6.845)/y - t^7.2/y + (2*t^8.155)/(g1^3*y) - t^8.4/y + (2*g1^3*t^8.645)/y - t^4.2*y - t^5.4*y - (t^6.355*y)/g1^3 - t^6.6*y - g1^3*t^6.845*y - t^7.2*y + (2*t^8.155*y)/g1^3 - t^8.4*y + 2*g1^3*t^8.645*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
58775	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.2614	1.4693	0.8585	[X:[1.4], M:[1.2736], q:[0.6245, 0.3509], qb:[0.3755, 0.2491], phi:[0.4]]	t^2.4 + t^2.62 + 2*t^3. + t^3.38 + t^3.6 + 3*t^3.82 + 4*t^4.2 + t^4.58 + t^4.8 + 3*t^5.02 + t^5.24 + 4*t^5.4 + t^5.62 + t^5.78 + t^5.84 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail
59443	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$	1.269	1.494	0.8494	[X:[1.4], M:[], q:[0.6, 0.4], qb:[0.4, 0.2], phi:[0.4]]	3*t^2.4 + 2*t^3. + 4*t^3.6 + 4*t^4.2 + 9*t^4.8 + 8*t^5.4 + 12*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 1269/1000, c: 747/500, X1: 7/5, q1: 3/5, q2: 2/5, qb1: 2/5, qb2: 1/5, phi1: 2/5}
60785	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$	1.2808	1.5058	0.8506	[X:[1.4], M:[], q:[0.6333, 0.3333], qb:[0.3667, 0.2667], phi:[0.4]]	t^2.1 + t^2.4 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 5*t^4.2 + 2*t^4.5 + 2*t^4.8 + 5*t^5.1 + 6*t^5.4 + 3*t^5.7 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y	detail	{a: 20493/16000, c: 24093/16000, X1: 7/5, q1: 19/30, q2: 1/3, qb1: 11/30, 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}