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
79554	Sp2s2nf1	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{2}q_{2}^{2}S_{2}$	2.2266	2.3829	0.9344	[X:[], M:[1.0, 0.8333], q:[0.686, 0.314], qb:[], phi:[], S:[0.628, 0.5387], Sb:[], A:[], Ab:[]]	[X:[], M:[[0], [0]], q:[[1], [-1]], qb:[], phi:[], S:[[-2], [2]], Sb:[], A:[], Ab:[]]	1	{a: 31921/14336, c: 34161/14336, M1: 1, M2: 5/6, q1: 461/672, q2: 211/672, S1: 211/336, S2: 181/336}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }S_{1}^{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }M_{2}^{2}$, ${ }q_{2}^{2}S_{1}S_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}S_{2}^{2}$	${}M_{2}S_{1}S_{2}$	-1	t^2.5 + t^3. + t^3.232 + t^3.5 + 2*t^3.768 + t^4.616 + t^5. + t^5.384 + t^5.5 + t^5.732 - t^6. + 2*t^6.232 + 2*t^6.464 + 2*t^6.5 + 3*t^6.732 + 2*t^6.768 + 7*t^7. - t^7.116 + 5*t^7.268 - t^7.384 + t^7.5 + 5*t^7.536 - t^7.616 + 2*t^7.848 - t^7.884 + t^8. + 3*t^8.116 - t^8.152 + 4*t^8.384 - t^8.5 + 3*t^8.616 - t^8.732 + 3*t^8.884 + 2*t^8.964 - t^4.616/y - t^4.884/y - t^7.616/y - (2*t^7.848)/y - t^7.884/y - (3*t^8.116)/y - (4*t^8.384)/y + t^8.5/y - (3*t^8.652)/y + t^8.732/y - t^4.616*y - t^4.884*y - t^7.616*y - 2*t^7.848*y - t^7.884*y - 3*t^8.116*y - 4*t^8.384*y + t^8.5*y - 3*t^8.652*y + t^8.732*y	t^2.5 + t^3. + g1^4*t^3.232 + t^3.5 + (2*t^3.768)/g1^4 + g1^2*t^4.616 + t^5. + t^5.384/g1^2 + t^5.5 + g1^4*t^5.732 - t^6. + 2*g1^4*t^6.232 + 2*g1^8*t^6.464 + 2*t^6.5 + 3*g1^4*t^6.732 + (2*t^6.768)/g1^4 + 7*t^7. - g1^2*t^7.116 + (5*t^7.268)/g1^4 - t^7.384/g1^2 + t^7.5 + (5*t^7.536)/g1^8 - g1^2*t^7.616 + 2*g1^6*t^7.848 - t^7.884/g1^2 + t^8. + 3*g1^2*t^8.116 - t^8.152/g1^6 + (4*t^8.384)/g1^2 - t^8.5 + 3*g1^2*t^8.616 - g1^4*t^8.732 + (3*t^8.884)/g1^2 + 2*g1^8*t^8.964 - (g1^2*t^4.616)/y - t^4.884/(g1^2*y) - (g1^2*t^7.616)/y - (2*g1^6*t^7.848)/y - t^7.884/(g1^2*y) - (3*g1^2*t^8.116)/y - (4*t^8.384)/(g1^2*y) + t^8.5/y - (3*t^8.652)/(g1^6*y) + (g1^4*t^8.732)/y - g1^2*t^4.616*y - (t^4.884*y)/g1^2 - g1^2*t^7.616*y - 2*g1^6*t^7.848*y - (t^7.884*y)/g1^2 - 3*g1^2*t^8.116*y - (4*t^8.384*y)/g1^2 + t^8.5*y - (3*t^8.652*y)/g1^6 + g1^4*t^8.732*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
79661	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{2}q_{2}^{2}S_{2}$ + ${ }M_{2}S_{2}^{2}$	2.2109	2.3672	0.934	[X:[], M:[1.0, 0.8333], q:[0.7083, 0.2917], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]]	t^2.5 + t^3. + 4*t^3.5 + t^4.75 + t^5. + t^5.25 + t^5.5 - (2*t^4.75)/y - 2*t^4.75*y	detail	{a: 283/128, c: 303/128, M1: 1, M2: 5/6, q1: 17/24, q2: 7/24, S1: 7/12, S2: 7/12}
79657	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{2}q_{2}^{2}S_{2}$ + ${ }M_{3}q_{2}^{2}S_{1}$	2.2461	2.4189	0.9286	[X:[], M:[1.0, 0.8333, 0.7353], q:[0.6838, 0.3162], qb:[], phi:[], S:[0.6324, 0.5343], Sb:[], A:[], Ab:[]]	t^2.206 + t^2.5 + t^3. + t^3.206 + t^3.5 + t^3.794 + t^4.412 + t^4.603 + t^4.706 + t^5. + t^5.206 + t^5.397 + t^5.412 + t^5.5 + 2*t^5.706 - t^4.603/y - t^4.897/y - t^4.603*y - t^4.897*y	detail
79652	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{2}q_{2}^{2}S_{2}$ + ${ }M_{3}S_{1}S_{2}$	2.241	2.4076	0.9308	[X:[], M:[1.0, 0.8333, 0.8333], q:[0.686, 0.314], qb:[], phi:[], S:[0.628, 0.5387], Sb:[], A:[], Ab:[]]	2*t^2.5 + t^3. + t^3.232 + 2*t^3.768 + t^4.616 + 3*t^5. + t^5.384 + 2*t^5.5 + 2*t^5.732 - 2*t^6. - t^4.616/y - t^4.884/y - t^4.616*y - t^4.884*y	detail	{a: 96379/43008, c: 103547/43008, M1: 1, M2: 5/6, M3: 5/6, q1: 461/672, q2: 211/672, S1: 211/336, S2: 181/336}
79645	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ + ${ }M_{2}q_{2}^{2}S_{2}$ + ${ }q_{2}^{2}S_{1}S_{2}$ + ${ }S_{2}^{2}X_{1}$	1.8737	2.0091	0.9326	[X:[1.3333], M:[1.0, 0.8333], q:[0.5833, 0.4167], qb:[], phi:[], S:[0.8333, 0.3333], Sb:[], A:[], Ab:[]]	t^2.5 + t^3. + t^3.5 + 3*t^4. + 4*t^5. + 3*t^5.5 + t^6. - t^4./y - t^5.5/y - t^6./y - t^4.*y - t^5.5*y - t^6.*y	detail	{a: 1439/768, c: 1543/768, X1: 4/3, M1: 1, M2: 5/6, q1: 7/12, q2: 5/12, S1: 5/6, S2: 1/3}

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
79516	Sp2s2nf1	${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$	2.2123	2.3581	0.9382	[X:[], M:[1.0], q:[0.686, 0.314], qb:[], phi:[], S:[0.628, 0.5387], Sb:[], A:[], Ab:[]]	t^3. + t^3.232 + 2*t^3.5 + 2*t^3.768 + t^4.616 + t^5.384 - 2*t^6. - t^4.616/y - t^4.884/y - t^4.616*y - t^4.884*y	detail	{a: 95147/43008, c: 101419/43008, M1: 1, q1: 461/672, q2: 211/672, S1: 211/336, S2: 181/336}