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
3232	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	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]]	[M:[[1], [-2], [0], [-1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1	{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}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	${}M_{4}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	3	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. + 6*t^6.375 + 26*t^6.75 + 18*t^7.125 + 18*t^7.5 + 20*t^7.875 + 5*t^8.25 + 8*t^8.625 - t^4.5/y - (3*t^6.75)/y + (6*t^7.5)/y + (8*t^7.875)/y + (8*t^8.25)/y + (10*t^8.625)/y - t^4.5*y - 3*t^6.75*y + 6*t^7.5*y + 8*t^7.875*y + 8*t^8.25*y + 10*t^8.625*y	2*t^2.25 + t^2.25/g1^2 + g1^2*t^2.25 + t^2.625/g1 + g1*t^2.625 + t^3. + t^3.375/g1 + g1*t^3.375 + t^3.75 + t^4.125/g1 + g1*t^4.125 + 5*t^4.5 + t^4.5/g1^4 + (2*t^4.5)/g1^2 + 2*g1^2*t^4.5 + g1^4*t^4.5 + t^4.875/g1^3 + (3*t^4.875)/g1 + 3*g1*t^4.875 + g1^3*t^4.875 + 3*t^5.25 + (2*t^5.25)/g1^2 + 2*g1^2*t^5.25 + t^5.625/g1^3 + (3*t^5.625)/g1 + 3*g1*t^5.625 + g1^3*t^5.625 + t^6. + t^6./g1^2 + g1^2*t^6. + t^6.375/g1^3 + (2*t^6.375)/g1 + 2*g1*t^6.375 + g1^3*t^6.375 + 8*t^6.75 + t^6.75/g1^6 + (2*t^6.75)/g1^4 + (6*t^6.75)/g1^2 + 6*g1^2*t^6.75 + 2*g1^4*t^6.75 + g1^6*t^6.75 + t^7.125/g1^5 + (3*t^7.125)/g1^3 + (5*t^7.125)/g1 + 5*g1*t^7.125 + 3*g1^3*t^7.125 + g1^5*t^7.125 + 6*t^7.5 + (2*t^7.5)/g1^4 + (4*t^7.5)/g1^2 + 4*g1^2*t^7.5 + 2*g1^4*t^7.5 + t^7.875/g1^5 + (4*t^7.875)/g1^3 + (5*t^7.875)/g1 + 5*g1*t^7.875 + 4*g1^3*t^7.875 + g1^5*t^7.875 + t^8.25 + t^8.25/g1^4 + t^8.25/g1^2 + g1^2*t^8.25 + g1^4*t^8.25 + t^8.625/g1^5 + (2*t^8.625)/g1^3 + t^8.625/g1 + g1*t^8.625 + 2*g1^3*t^8.625 + g1^5*t^8.625 - t^4.5/y - t^6.75/y - t^6.75/(g1^2*y) - (g1^2*t^6.75)/y + (2*t^7.5)/y + (2*t^7.5)/(g1^2*y) + (2*g1^2*t^7.5)/y + t^7.875/(g1^3*y) + (3*t^7.875)/(g1*y) + (3*g1*t^7.875)/y + (g1^3*t^7.875)/y + (4*t^8.25)/y + (2*t^8.25)/(g1^2*y) + (2*g1^2*t^8.25)/y + t^8.625/(g1^3*y) + (4*t^8.625)/(g1*y) + (4*g1*t^8.625)/y + (g1^3*t^8.625)/y - t^4.5*y - t^6.75*y - (t^6.75*y)/g1^2 - g1^2*t^6.75*y + 2*t^7.5*y + (2*t^7.5*y)/g1^2 + 2*g1^2*t^7.5*y + (t^7.875*y)/g1^3 + (3*t^7.875*y)/g1 + 3*g1*t^7.875*y + g1^3*t^7.875*y + 4*t^8.25*y + (2*t^8.25*y)/g1^2 + 2*g1^2*t^8.25*y + (t^8.625*y)/g1^3 + (4*t^8.625*y)/g1 + 4*g1*t^8.625*y + g1^3*t^8.625*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
3652	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6951	0.9138	0.7606	[M:[1.125, 0.75, 0.75, 0.875, 0.75, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]]	5*t^2.25 + 2*t^2.625 + t^3. + 2*t^3.375 + 2*t^4.125 + 16*t^4.5 + 10*t^4.875 + 8*t^5.25 + 10*t^5.625 - t^6. - t^4.5/y - t^4.5*y	detail	{a: 2847/4096, c: 3743/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 3/4, M6: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2}

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
2719	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$	0.6575	0.8468	0.7765	[M:[1.1387, 0.7226, 0.75, 0.8613], q:[0.75, 0.3613], qb:[0.5, 0.3887], phi:[0.5]]	t^2.168 + 2*t^2.25 + t^2.584 + t^2.666 + t^3. + t^3.334 + t^3.416 + t^3.668 + t^3.75 + t^4.084 + t^4.166 + t^4.336 + 2*t^4.418 + 4*t^4.5 + t^4.752 + 3*t^4.834 + 2*t^4.916 + 2*t^5.168 + 3*t^5.25 + t^5.332 + t^5.502 + 3*t^5.584 + 2*t^5.666 + t^5.836 + 3*t^5.918 + t^6. - t^4.5/y - t^4.5*y	detail