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
58465	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	1.404	1.6269	0.863	[X:[1.2667], M:[0.933, 0.9001], q:[0.476, 0.409], qb:[0.591, 0.3243], phi:[0.3666]]	[X:[[0, 2]], M:[[0, -8], [0, 3]], q:[[-1, 6], [-1, -2]], qb:[[1, 2], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}q_{2}\tilde{q}_{2}X_{1}$	-1	t^2.2 + t^2.4 + t^2.7 + t^2.8 + t^3. + t^3.3 + t^3.5 + t^3.8 + t^4.1 + t^4.3 + 2*t^4.4 + 2*t^4.6 + t^4.8 + t^4.82 + t^4.9 + t^4.98 + t^5. + t^5.1 + t^5.18 + 2*t^5.2 + 3*t^5.4 + 2*t^5.5 + t^5.6 + t^5.62 + 3*t^5.7 + t^5.9 + t^5.92 - t^6. + t^6.08 + t^6.1 + t^6.2 + t^6.22 + t^6.28 + 2*t^6.3 + 4*t^6.5 + 4*t^6.6 + t^6.7 + t^6.72 + 5*t^6.8 - t^6.88 + t^6.98 + 4*t^7. + 2*t^7.02 + t^7.1 + 2*t^7.18 + 3*t^7.2 + t^7.22 + 2*t^7.3 - t^7.32 + 3*t^7.38 + 4*t^7.4 + t^7.5 + 2*t^7.58 + 7*t^7.6 + 3*t^7.7 + 5*t^7.8 + 2*t^7.82 + t^7.88 + 5*t^7.9 + t^8.02 + 6*t^8.1 + 2*t^8.12 + 2*t^8.28 + 3*t^8.3 + 3*t^8.32 + 2*t^8.4 + 3*t^8.48 + 4*t^8.5 - t^8.58 + 2*t^8.6 + 2*t^8.62 + 2*t^8.68 + 5*t^8.7 - t^8.78 + 3*t^8.8 + 7*t^8.9 + 2*t^8.92 - t^4.1/y - t^5.2/y - t^6.3/y - t^6.5/y - t^6.8/y - t^6.9/y - t^7.1/y - t^7.4/y + t^8.1/y + t^8.2/y + t^8.4/y + t^8.7/y + t^8.8/y - t^4.1*y - t^5.2*y - t^6.3*y - t^6.5*y - t^6.8*y - t^6.9*y - t^7.1*y - t^7.4*y + t^8.1*y + t^8.2*y + t^8.4*y + t^8.7*y + t^8.8*y	t^2.2/g2^2 + g2^6*t^2.4 + g2^3*t^2.7 + t^2.8/g2^8 + t^3. + t^3.3/g2^3 + g2^5*t^3.5 + g2^2*t^3.8 + t^4.1/g2 + g2^7*t^4.3 + (2*t^4.4)/g2^4 + 2*g2^4*t^4.6 + g2^12*t^4.8 + g1^3*g2*t^4.82 + g2*t^4.9 + (g2*t^4.98)/g1^3 + t^5./g2^10 + g2^9*t^5.1 + (g2^9*t^5.18)/g1^3 + (2*t^5.2)/g2^2 + 3*g2^6*t^5.4 + (2*t^5.5)/g2^5 + t^5.6/g2^16 + g1^3*g2^3*t^5.62 + 3*g2^3*t^5.7 + g2^11*t^5.9 + g1^3*t^5.92 - t^6. + t^6.08/g1^3 + t^6.1/g2^11 + g2^8*t^6.2 + (g1^3*t^6.22)/g2^3 + (g2^8*t^6.28)/g1^3 + (2*t^6.3)/g2^3 + 4*g2^5*t^6.5 + (4*t^6.6)/g2^6 + g2^13*t^6.7 + g1^3*g2^2*t^6.72 + 5*g2^2*t^6.8 - (g2^2*t^6.88)/g1^3 + t^6.98/(g1^3*g2^9) + 4*g2^10*t^7. + (2*g1^3*t^7.02)/g2 + t^7.1/g2 + (2*t^7.18)/(g1^3*g2) + (2*t^7.2)/g2^12 + g2^18*t^7.2 + g1^3*g2^7*t^7.22 + 2*g2^7*t^7.3 - (g1^3*t^7.32)/g2^4 + (3*g2^7*t^7.38)/g1^3 + (4*t^7.4)/g2^4 + g2^15*t^7.5 + (2*g2^15*t^7.58)/g1^3 + 7*g2^4*t^7.6 + (3*t^7.7)/g2^7 + t^7.8/g2^18 + 4*g2^12*t^7.8 + 2*g1^3*g2*t^7.82 + (g2^12*t^7.88)/g1^3 + 5*g2*t^7.9 + g1^3*g2^9*t^8.02 + 6*g2^9*t^8.1 + (2*g1^3*t^8.12)/g2^2 + (2*t^8.28)/(g1^3*g2^2) + (2*t^8.3)/g2^13 + g2^17*t^8.3 + 3*g1^3*g2^6*t^8.32 + t^8.4/g2^24 + g2^6*t^8.4 + (3*g2^6*t^8.48)/g1^3 + (4*t^8.5)/g2^5 - t^8.58/(g1^3*g2^5) + 2*g2^14*t^8.6 + 2*g1^3*g2^3*t^8.62 + (2*g2^14*t^8.68)/g1^3 + 5*g2^3*t^8.7 - (g2^3*t^8.78)/g1^3 + (3*t^8.8)/g2^8 + t^8.9/g2^19 + 6*g2^11*t^8.9 + 2*g1^3*t^8.92 - t^4.1/(g2*y) - t^5.2/(g2^2*y) - t^6.3/(g2^3*y) - (g2^5*t^6.5)/y - (g2^2*t^6.8)/y - t^6.9/(g2^9*y) - t^7.1/(g2*y) - t^7.4/(g2^4*y) + (g2^9*t^8.1)/y + t^8.2/(g2^2*y) + (g2^6*t^8.4)/y + (g2^3*t^8.7)/y + t^8.8/(g2^8*y) - (t^4.1*y)/g2 - (t^5.2*y)/g2^2 - (t^6.3*y)/g2^3 - g2^5*t^6.5*y - g2^2*t^6.8*y - (t^6.9*y)/g2^9 - (t^7.1*y)/g2 - (t^7.4*y)/g2^4 + g2^9*t^8.1*y + (t^8.2*y)/g2^2 + g2^6*t^8.4*y + g2^3*t^8.7*y + (t^8.8*y)/g2^8

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
61029	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$	1.4237	1.6631	0.856	[X:[1.2678], M:[0.9289, 0.9017, 0.7322], q:[0.4788, 0.4077], qb:[0.5923, 0.3245], phi:[0.3661]]	2*t^2.2 + t^2.41 + t^2.71 + t^2.79 + t^3. + t^3.29 + t^3.51 + t^4.1 + t^4.31 + 4*t^4.39 + 3*t^4.61 + 2*t^4.82 + 2*t^4.9 + 3*t^4.98 + t^5.12 + t^5.19 + 3*t^5.2 + 3*t^5.41 + 3*t^5.49 + t^5.57 + t^5.63 + 4*t^5.71 + 2*t^5.92 - 2*t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*y	detail

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
57370	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4215	1.6483	0.8624	[X:[1.2487], M:[1.0053, 0.873], q:[0.4974, 0.3757], qb:[0.4974, 0.3757], phi:[0.3757]]	t^2.254 + 3*t^2.619 + t^3.016 + t^3.381 + 3*t^3.746 + t^4.111 + 2*t^4.508 + 7*t^4.873 + 9*t^5.238 + t^5.27 + 2*t^5.635 + 4*t^6. - t^4.127/y - t^5.254/y - t^4.127*y - t^5.254*y	detail