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
57575	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}X_{1}$	0.6574	0.8249	0.797	[X:[1.36], M:[1.2, 1.04, 0.8, 0.88, 0.64, 0.8], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]]	[X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 32871/50000, c: 20623/25000, X1: 34/25, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 16/25, M6: 4/5, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$	${}$	0	2*t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 4*t^5.04 + 5*t^5.28 + 3*t^5.52 + t^5.76 + 3*t^6.24 + 6*t^6.48 + 5*t^6.72 + 4*t^6.96 + 4*t^7.2 + 5*t^7.44 + 9*t^7.68 + 9*t^7.92 + 5*t^8.16 + t^8.4 + 5*t^8.88 - t^4.44/y - t^6.84/y - t^7.08/y + (2*t^7.8)/y + (5*t^8.04)/y + (3*t^8.28)/y + (4*t^8.52)/y + (2*t^8.76)/y - t^4.44*y - t^6.84*y - t^7.08*y + 2*t^7.8*y + 5*t^8.04*y + 3*t^8.28*y + 4*t^8.52*y + 2*t^8.76*y	2*t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 4*t^5.04 + 5*t^5.28 + 3*t^5.52 + t^5.76 + 3*t^6.24 + 6*t^6.48 + 5*t^6.72 + 4*t^6.96 + 4*t^7.2 + 5*t^7.44 + 9*t^7.68 + 9*t^7.92 + 5*t^8.16 + t^8.4 + 5*t^8.88 - t^4.44/y - t^6.84/y - t^7.08/y + (2*t^7.8)/y + (5*t^8.04)/y + (3*t^8.28)/y + (4*t^8.52)/y + (2*t^8.76)/y - t^4.44*y - t^6.84*y - t^7.08*y + 2*t^7.8*y + 5*t^8.04*y + 3*t^8.28*y + 4*t^8.52*y + 2*t^8.76*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
58770	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{1}M_{7}$	0.6739	0.8539	0.7892	[X:[1.36], M:[1.2, 1.04, 0.8, 0.88, 0.64, 0.8, 0.8], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]]	3*t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 6*t^4.8 + 6*t^5.04 + 6*t^5.28 + 4*t^5.52 + t^5.76 - 2*t^6. - t^4.44/y - t^4.44*y	detail	{a: 2106/3125, c: 5337/6250, X1: 34/25, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 16/25, M6: 4/5, M7: 4/5, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25}

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
55917	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$	0.6888	0.8731	0.7889	[M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]]	t^2.101 + 2*t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + t^3.6 + t^3.75 + 2*t^4.202 + t^4.351 + 3*t^4.501 + t^4.65 + 4*t^4.8 + 3*t^4.95 + 3*t^5.099 + 2*t^5.103 + 2*t^5.249 + t^5.398 + 2*t^5.402 + t^5.548 + t^5.551 + t^5.697 + 2*t^5.701 + t^5.85 - t^6. - t^4.35/y - t^4.35*y	detail