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
59437	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.3557	1.5979	0.8484	[X:[], M:[0.875], q:[0.5893, 0.5179], qb:[0.4107, 0.2321], phi:[0.375]]	[X:[], M:[[0]], q:[[2], [-1]], qb:[[-2], [1]], phi:[[0]]]	1	{a: 155487/114688, c: 183263/114688, M1: 7/8, q1: 33/56, q2: 29/56, qb1: 23/56, qb2: 13/56, phi1: 3/8}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$	${2}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$	2	2*t^2.25 + t^2.46 + t^2.62 + t^2.79 + t^3. + t^3.38 + t^3.59 + t^3.75 + t^3.91 + t^4.12 + t^4.29 + 4*t^4.5 + 3*t^4.71 + t^4.87 + 2*t^4.88 + t^4.93 + 3*t^5.04 + t^5.09 + 5*t^5.25 + 2*t^5.41 + t^5.46 + t^5.57 + 3*t^5.62 + 3*t^5.84 + 2*t^6. + t^6.05 + 2*t^6.16 + 2*t^6.21 + 5*t^6.38 + 4*t^6.54 + t^6.59 + t^6.7 + 9*t^6.75 + 2*t^6.91 + 6*t^6.96 + 2*t^7.07 + 4*t^7.12 + t^7.13 + 4*t^7.18 + 6*t^7.29 + 4*t^7.34 + t^7.39 + 12*t^7.5 + t^7.55 + 5*t^7.66 + 6*t^7.71 + 3*t^7.82 + 2*t^7.87 + 8*t^7.88 + t^7.93 + 5*t^8.04 + 5*t^8.09 + 3*t^8.2 + 5*t^8.25 + 4*t^8.3 + t^8.36 + 5*t^8.41 + 4*t^8.46 + t^8.52 + t^8.57 + 8*t^8.62 + 3*t^8.68 + 5*t^8.79 + 8*t^8.84 + 2*t^8.95 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - t^6.59/y - t^6.75/y - t^6.91/y - t^7.12/y - t^7.5/y + t^7.71/y + (2*t^7.88)/y + t^8.04/y + t^8.09/y + (2*t^8.25)/y + t^8.41/y + t^8.46/y - t^8.62/y + t^8.79/y - t^4.12*y - t^5.25*y - 2*t^6.38*y - t^6.59*y - t^6.75*y - t^6.91*y - t^7.12*y - t^7.5*y + t^7.71*y + 2*t^7.88*y + t^8.04*y + t^8.09*y + 2*t^8.25*y + t^8.41*y + t^8.46*y - t^8.62*y + t^8.79*y	2*t^2.25 + g1^3*t^2.46 + t^2.62 + t^2.79/g1^3 + t^3. + t^3.38 + g1^3*t^3.59 + t^3.75 + t^3.91/g1^3 + t^4.12 + t^4.29/g1^3 + 4*t^4.5 + 3*g1^3*t^4.71 + t^4.87 + 2*t^4.88 + g1^6*t^4.93 + (3*t^5.04)/g1^3 + g1^3*t^5.09 + 5*t^5.25 + (2*t^5.41)/g1^3 + g1^3*t^5.46 + t^5.57/g1^6 + 3*t^5.62 + 3*g1^3*t^5.84 + 2*t^6. + g1^6*t^6.05 + (2*t^6.16)/g1^3 + 2*g1^3*t^6.21 + 5*t^6.38 + (4*t^6.54)/g1^3 + g1^3*t^6.59 + t^6.7/g1^6 + 9*t^6.75 + (2*t^6.91)/g1^3 + 6*g1^3*t^6.96 + (2*t^7.07)/g1^6 + 4*t^7.12 + t^7.13 + 4*g1^6*t^7.18 + (6*t^7.29)/g1^3 + 4*g1^3*t^7.34 + g1^9*t^7.39 + 12*t^7.5 + g1^6*t^7.55 + (5*t^7.66)/g1^3 + 6*g1^3*t^7.71 + (3*t^7.82)/g1^6 + 2*t^7.87 + 8*t^7.88 + g1^6*t^7.93 + (5*t^8.04)/g1^3 + 5*g1^3*t^8.09 + (3*t^8.2)/g1^6 + 5*t^8.25 + 4*g1^6*t^8.3 + t^8.36/g1^9 + (5*t^8.41)/g1^3 + 4*g1^3*t^8.46 + g1^9*t^8.52 + t^8.57/g1^6 + 8*t^8.62 + 3*g1^6*t^8.68 + (5*t^8.79)/g1^3 + 8*g1^3*t^8.84 + (2*t^8.95)/g1^6 - t^4.12/y - t^5.25/y - (2*t^6.38)/y - (g1^3*t^6.59)/y - t^6.75/y - t^6.91/(g1^3*y) - t^7.12/y - t^7.5/y + (g1^3*t^7.71)/y + (2*t^7.88)/y + t^8.04/(g1^3*y) + (g1^3*t^8.09)/y + (2*t^8.25)/y + t^8.41/(g1^3*y) + (g1^3*t^8.46)/y - t^8.62/y + t^8.79/(g1^3*y) - t^4.12*y - t^5.25*y - 2*t^6.38*y - g1^3*t^6.59*y - t^6.75*y - (t^6.91*y)/g1^3 - t^7.12*y - t^7.5*y + g1^3*t^7.71*y + 2*t^7.88*y + (t^8.04*y)/g1^3 + g1^3*t^8.09*y + 2*t^8.25*y + (t^8.41*y)/g1^3 + g1^3*t^8.46*y - t^8.62*y + (t^8.79*y)/g1^3

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
61248	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$	1.2784	1.4972	0.8539	[X:[1.375], M:[0.875], q:[0.4583, 0.5833], qb:[0.5417, 0.1667], phi:[0.375]]	2*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + t^3.75 + 3*t^4.12 + 5*t^4.5 + 4*t^4.88 + 6*t^5.25 + 7*t^5.62 + 5*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 10473/8192, c: 12265/8192, X1: 11/8, M1: 7/8, q1: 11/24, q2: 7/12, qb1: 13/24, qb2: 1/6, phi1: 3/8}

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
57471	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4405	1.6827	0.8561	[X:[], M:[0.875], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]]	2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + 10*t^4.88 + 11*t^5.25 + 3*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 23601/16384, c: 27569/16384, M1: 7/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8}