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
79493	Sp2s2nf1	${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$	2.406	2.5501	0.9435	[X:[], M:[0.8374, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5813, 0.5616], Sb:[], A:[], Ab:[]]	[X:[], M:[[0, 2], [0, 0]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{1}S_{2}^{2}$, ${ }M_{2}S_{2}^{2}$	${}$	-4	t^2.512 + t^2.571 + t^3.369 + t^3.429 + t^5.024 + t^5.084 + 3*t^5.113 + t^5.143 + 3*t^5.172 + t^5.881 + t^5.941 - 4*t^6. - t^6.059 + 2*t^6.739 + 3*t^6.798 + 7*t^6.857 + 2*t^6.916 + t^6.976 + t^7.536 + t^7.596 + 3*t^7.625 + t^7.655 - t^7.685 + t^7.714 - 4*t^7.744 + t^8.394 + t^8.453 + 6*t^8.483 - 4*t^8.512 + 13*t^8.542 - t^8.571 + 10*t^8.601 - t^8.631 + 3*t^8.66 - t^4.685/y - t^4.744/y - t^7.197/y - t^7.256/y - (2*t^8.054)/y + t^8.084/y - (3*t^8.113)/y - (2*t^8.172)/y - t^8.232/y + t^8.881/y + (2*t^8.941)/y - t^4.685*y - t^4.744*y - t^7.197*y - t^7.256*y - 2*t^8.054*y + t^8.084*y - 3*t^8.113*y - 2*t^8.172*y - t^8.232*y + t^8.881*y + 2*t^8.941*y	g2^2*t^2.512 + t^2.571 + g2^2*t^3.369 + t^3.429 + g2^4*t^5.024 + g2^2*t^5.084 + g2*t^5.113 + (g2*t^5.113)/g1^2 + g1^2*g2*t^5.113 + t^5.143 + t^5.172/g2 + t^5.172/(g1^2*g2) + (g1^2*t^5.172)/g2 + g2^4*t^5.881 + g2^2*t^5.941 - 2*t^6. - t^6./g1^2 - g1^2*t^6. - t^6.059/g2^2 + 2*g2^4*t^6.739 + 3*g2^2*t^6.798 + 5*t^6.857 + t^6.857/g1^2 + g1^2*t^6.857 + (2*t^6.916)/g2^2 + t^6.976/g2^4 + g2^6*t^7.536 + g2^4*t^7.596 + g2^3*t^7.625 + (g2^3*t^7.625)/g1^2 + g1^2*g2^3*t^7.625 + g2^2*t^7.655 - g2*t^7.685 + t^7.714 - (2*t^7.744)/g2 - t^7.744/(g1^2*g2) - (g1^2*t^7.744)/g2 + g2^6*t^8.394 + g2^4*t^8.453 + 2*g2^3*t^8.483 + (2*g2^3*t^8.483)/g1^2 + 2*g1^2*g2^3*t^8.483 - 2*g2^2*t^8.512 - (g2^2*t^8.512)/g1^2 - g1^2*g2^2*t^8.512 + 5*g2*t^8.542 + (4*g2*t^8.542)/g1^2 + 4*g1^2*g2*t^8.542 - t^8.571 + (4*t^8.601)/g2 + (3*t^8.601)/(g1^2*g2) + (3*g1^2*t^8.601)/g2 - t^8.631/g2^2 + t^8.66/g2^3 + t^8.66/(g1^2*g2^3) + (g1^2*t^8.66)/g2^3 - (g2*t^4.685)/y - t^4.744/(g2*y) - (g2^3*t^7.197)/y - (g2*t^7.256)/y - (2*g2^3*t^8.054)/y + (g2^2*t^8.084)/y - (3*g2*t^8.113)/y - (2*t^8.172)/(g2*y) - t^8.232/(g2^3*y) + (g2^4*t^8.881)/y + (2*g2^2*t^8.941)/y - g2*t^4.685*y - (t^4.744*y)/g2 - g2^3*t^7.197*y - g2*t^7.256*y - 2*g2^3*t^8.054*y + g2^2*t^8.084*y - 3*g2*t^8.113*y - (2*t^8.172*y)/g2 - (t^8.232*y)/g2^3 + g2^4*t^8.881*y + 2*g2^2*t^8.941*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
79549	${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{1}M_{2}$	2.2325	2.3575	0.947	[X:[], M:[1.1429, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.4286, 0.7143], Sb:[], A:[], Ab:[]]	t^2.571 + 2*t^3.429 + t^4.286 + 3*t^4.714 + t^5.143 + 3*t^5.571 - t^6. - t^4.286/y - t^5.143/y - t^4.286*y - t^5.143*y	detail	{a: 3063/1372, c: 6469/2744, M1: 8/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 3/7, S2: 5/7}
79541	${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{1}^{2}$	2.3558	2.4897	0.9462	[X:[], M:[1.0, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5, 0.6429], Sb:[], A:[], Ab:[]]	t^2.571 + t^3. + t^3.429 + t^3.857 + 3*t^4.929 + t^5.143 + 3*t^5.357 - 2*t^6. - t^4.5/y - t^4.929/y - t^4.5*y - t^4.929*y	detail	{a: 25857/10976, c: 27327/10976, M1: 1, M2: 6/7, q1: 4/7, q2: 4/7, S1: 1/2, S2: 9/14}
79576	${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{2}M_{3}$	2.3934	2.5286	0.9465	[X:[], M:[0.8374, 0.8571, 1.1429], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5813, 0.5616], Sb:[], A:[], Ab:[]]	t^2.512 + t^3.369 + 2*t^3.429 + t^5.024 + 3*t^5.113 + 3*t^5.172 + t^5.881 + t^5.941 - 5*t^6. - t^4.685/y - t^4.744/y - t^4.685*y - t^4.744*y	detail
79579	${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{2}^{2}$	2.4178	2.5696	0.9409	[X:[], M:[0.8571, 0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]]	3*t^2.571 + t^3.429 + 12*t^5.143 - 4*t^6. - (2*t^4.714)/y - 2*t^4.714*y	detail	{a: 13269/5488, c: 7051/2744, M1: 6/7, M2: 6/7, M3: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7}

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
79483	Sp2s2nf1	${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$	2.418	2.5513	0.9477	[X:[], M:[0.8558, 0.7417], q:[0.6292, 0.6292], qb:[], phi:[], S:[0.5721, 0.5515], Sb:[], A:[], Ab:[]]	t^2.225 + t^2.567 + t^3.309 + t^3.371 + t^4.45 + t^4.792 + t^5.135 + 3*t^5.429 + 3*t^5.491 + t^5.534 + t^5.596 + t^5.876 - 5*t^6. - t^4.655/y - t^4.716/y - t^4.655*y - t^4.716*y	detail