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
3228	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6777	0.8835	0.7671	[M:[1.1039, 0.7922, 0.75, 0.8539, 0.7078], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]]	[M:[[1], [-2], [0], [1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-1	t^2.123 + 2*t^2.25 + t^2.377 + 2*t^2.562 + t^3. + 2*t^3.312 + t^3.75 + t^4.062 + t^4.188 + t^4.247 + 2*t^4.373 + 5*t^4.5 + 2*t^4.627 + 2*t^4.685 + t^4.753 + 4*t^4.812 + 2*t^4.938 + 4*t^5.123 + 2*t^5.25 + t^5.377 + 2*t^5.435 + 5*t^5.562 + t^5.688 + 4*t^5.873 - t^6. + t^6.185 + 4*t^6.312 + t^6.37 + 2*t^6.497 + t^6.565 + 9*t^6.623 + 7*t^6.75 + 2*t^6.808 + 4*t^6.877 + 4*t^6.935 + 2*t^7.003 + 9*t^7.062 + t^7.13 + t^7.188 + 4*t^7.247 + 2*t^7.315 + 8*t^7.373 + 5*t^7.5 + 2*t^7.558 + 9*t^7.685 + t^7.753 + 8*t^7.812 + 4*t^7.997 + t^8.065 + 6*t^8.123 - 2*t^8.25 + t^8.308 - 3*t^8.377 + 8*t^8.435 + t^8.493 - t^8.562 + 2*t^8.62 - t^8.688 + 9*t^8.747 + 13*t^8.873 + 2*t^8.931 + t^8.942 - t^4.5/y - t^6.623/y - t^6.75/y - t^6.877/y - t^7.062/y + t^7.188/y + (2*t^7.373)/y + (2*t^7.5)/y + (2*t^7.627)/y + (2*t^7.685)/y + (3*t^7.812)/y + (3*t^7.938)/y + (3*t^8.123)/y + (3*t^8.25)/y + (2*t^8.377)/y + (2*t^8.435)/y + (6*t^8.562)/y + (2*t^8.688)/y - t^8.747/y + (4*t^8.873)/y - t^4.5*y - t^6.623*y - t^6.75*y - t^6.877*y - t^7.062*y + t^7.188*y + 2*t^7.373*y + 2*t^7.5*y + 2*t^7.627*y + 2*t^7.685*y + 3*t^7.812*y + 3*t^7.938*y + 3*t^8.123*y + 3*t^8.25*y + 2*t^8.377*y + 2*t^8.435*y + 6*t^8.562*y + 2*t^8.688*y - t^8.747*y + 4*t^8.873*y	g1^2*t^2.123 + 2*t^2.25 + t^2.377/g1^2 + 2*g1*t^2.562 + t^3. + 2*g1*t^3.312 + t^3.75 + g1*t^4.062 + t^4.188/g1 + g1^4*t^4.247 + 2*g1^2*t^4.373 + 5*t^4.5 + (2*t^4.627)/g1^2 + 2*g1^3*t^4.685 + t^4.753/g1^4 + 4*g1*t^4.812 + (2*t^4.938)/g1 + 4*g1^2*t^5.123 + 2*t^5.25 + t^5.377/g1^2 + 2*g1^3*t^5.435 + 5*g1*t^5.562 + t^5.688/g1 + 4*g1^2*t^5.873 - t^6. + g1^3*t^6.185 + 4*g1*t^6.312 + g1^6*t^6.37 + 2*g1^4*t^6.497 + t^6.565/g1^3 + 9*g1^2*t^6.623 + 7*t^6.75 + 2*g1^5*t^6.808 + (4*t^6.877)/g1^2 + 4*g1^3*t^6.935 + (2*t^7.003)/g1^4 + 9*g1*t^7.062 + t^7.13/g1^6 + t^7.188/g1 + 4*g1^4*t^7.247 + (2*t^7.315)/g1^3 + 8*g1^2*t^7.373 + 5*t^7.5 + 2*g1^5*t^7.558 + 9*g1^3*t^7.685 + t^7.753/g1^4 + 8*g1*t^7.812 + 4*g1^4*t^7.997 + t^8.065/g1^3 + 6*g1^2*t^8.123 - 2*t^8.25 + g1^5*t^8.308 - (3*t^8.377)/g1^2 + 8*g1^3*t^8.435 + g1^8*t^8.493 - g1*t^8.562 + 2*g1^6*t^8.62 - t^8.688/g1 + 9*g1^4*t^8.747 + 13*g1^2*t^8.873 + 2*g1^7*t^8.931 + t^8.942/g1^5 - t^4.5/y - (g1^2*t^6.623)/y - t^6.75/y - t^6.877/(g1^2*y) - (g1*t^7.062)/y + t^7.188/(g1*y) + (2*g1^2*t^7.373)/y + (2*t^7.5)/y + (2*t^7.627)/(g1^2*y) + (2*g1^3*t^7.685)/y + (3*g1*t^7.812)/y + (3*t^7.938)/(g1*y) + (3*g1^2*t^8.123)/y + (3*t^8.25)/y + (2*t^8.377)/(g1^2*y) + (2*g1^3*t^8.435)/y + (6*g1*t^8.562)/y + (2*t^8.688)/(g1*y) - (g1^4*t^8.747)/y + (4*g1^2*t^8.873)/y - t^4.5*y - g1^2*t^6.623*y - t^6.75*y - (t^6.877*y)/g1^2 - g1*t^7.062*y + (t^7.188*y)/g1 + 2*g1^2*t^7.373*y + 2*t^7.5*y + (2*t^7.627*y)/g1^2 + 2*g1^3*t^7.685*y + 3*g1*t^7.812*y + (3*t^7.938*y)/g1 + 3*g1^2*t^8.123*y + 3*t^8.25*y + (2*t^8.377*y)/g1^2 + 2*g1^3*t^8.435*y + 6*g1*t^8.562*y + (2*t^8.688*y)/g1 - g1^4*t^8.747*y + 4*g1^2*t^8.873*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
3648	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$	0.676	0.8792	0.769	[M:[1.125, 0.75, 0.75, 0.875, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]]	4*t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + t^3.75 + 2*t^4.125 + 11*t^4.5 + 8*t^4.875 + 7*t^5.25 + 8*t^5.625 + 3*t^6. - t^4.5/y - t^4.5*y	detail	{a: 2769/4096, c: 3601/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2}
3649	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6968	0.9182	0.7589	[M:[1.1039, 0.7922, 0.75, 0.8539, 0.7078, 0.75], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]]	t^2.123 + 3*t^2.25 + t^2.377 + 2*t^2.562 + t^3. + 2*t^3.312 + t^4.062 + t^4.188 + t^4.247 + 3*t^4.373 + 8*t^4.5 + 3*t^4.627 + 2*t^4.685 + t^4.753 + 6*t^4.812 + 2*t^4.938 + 4*t^5.123 + 3*t^5.25 + t^5.377 + 2*t^5.435 + 7*t^5.562 + t^5.688 + 3*t^5.873 - 3*t^6. - t^4.5/y - t^4.5*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
2717	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}q_{2}$	0.6575	0.845	0.7781	[M:[1.1114, 0.7771, 0.75, 0.8614], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]]	2*t^2.25 + t^2.331 + 2*t^2.584 + t^3. + 2*t^3.334 + t^3.75 + t^3.831 + t^4.084 + t^4.166 + 4*t^4.5 + 2*t^4.581 + t^4.663 + 4*t^4.834 + 2*t^4.916 + 3*t^5.169 + 2*t^5.25 + t^5.331 + 5*t^5.584 + t^5.666 + 3*t^5.919 - t^6. - t^4.5/y - t^4.5*y	detail