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
46658	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6772	0.8843	0.7658	[M:[1.1628, 0.6744, 0.6744, 0.6744], q:[0.75, 0.4128], qb:[0.4128, 0.4244], phi:[0.5]]	[M:[[-1], [2], [2], [2]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	-1	3*t^2.023 + t^2.477 + t^2.512 + t^3. + 3*t^3.488 + t^3.523 + 2*t^4.012 + 7*t^4.046 + 3*t^4.5 + 3*t^4.535 + t^4.954 + t^4.988 + 4*t^5.023 + t^5.477 + 10*t^5.512 + 3*t^5.546 + t^5.965 - t^6. + 5*t^6.035 + 13*t^6.07 + t^6.488 + 8*t^6.523 + 7*t^6.558 + 5*t^6.977 + 4*t^7.012 + 10*t^7.046 + t^7.43 - 3*t^7.465 + 2*t^7.5 + 23*t^7.535 + 7*t^7.57 - 3*t^8.023 + 11*t^8.058 + 22*t^8.093 + t^8.442 - 3*t^8.477 + 15*t^8.546 + 13*t^8.581 - t^8.965 - t^4.5/y - (3*t^6.523)/y + t^7.012/y + (3*t^7.046)/y + (3*t^7.5)/y + (3*t^7.535)/y + (3*t^8.023)/y + (4*t^8.477)/y + (10*t^8.512)/y - (3*t^8.546)/y + (3*t^8.965)/y - t^4.5*y - 3*t^6.523*y + t^7.012*y + 3*t^7.046*y + 3*t^7.5*y + 3*t^7.535*y + 3*t^8.023*y + 4*t^8.477*y + 10*t^8.512*y - 3*t^8.546*y + 3*t^8.965*y	3*g1^2*t^2.023 + t^2.477/g1^2 + g1*t^2.512 + t^3. + (3*t^3.488)/g1 + g1^2*t^3.523 + 2*g1*t^4.012 + 7*g1^4*t^4.046 + 3*t^4.5 + 3*g1^3*t^4.535 + t^4.954/g1^4 + t^4.988/g1 + 4*g1^2*t^5.023 + t^5.477/g1^2 + 10*g1*t^5.512 + 3*g1^4*t^5.546 + t^5.965/g1^3 - t^6. + 5*g1^3*t^6.035 + 13*g1^6*t^6.07 + t^6.488/g1 + 8*g1^2*t^6.523 + 7*g1^5*t^6.558 + (5*t^6.977)/g1^2 + 4*g1*t^7.012 + 10*g1^4*t^7.046 + t^7.43/g1^6 - (3*t^7.465)/g1^3 + 2*t^7.5 + 23*g1^3*t^7.535 + 7*g1^6*t^7.57 - 3*g1^2*t^8.023 + 11*g1^5*t^8.058 + 22*g1^8*t^8.093 + t^8.442/g1^5 - (3*t^8.477)/g1^2 + 15*g1^4*t^8.546 + 13*g1^7*t^8.581 - t^8.965/g1^3 - t^4.5/y - (3*g1^2*t^6.523)/y + (g1*t^7.012)/y + (3*g1^4*t^7.046)/y + (3*t^7.5)/y + (3*g1^3*t^7.535)/y + (3*g1^2*t^8.023)/y + (4*t^8.477)/(g1^2*y) + (10*g1*t^8.512)/y - (3*g1^4*t^8.546)/y + (3*t^8.965)/(g1^3*y) - t^4.5*y - 3*g1^2*t^6.523*y + g1*t^7.012*y + 3*g1^4*t^7.046*y + 3*t^7.5*y + 3*g1^3*t^7.535*y + 3*g1^2*t^8.023*y + (4*t^8.477*y)/g1^2 + 10*g1*t^8.512*y - 3*g1^4*t^8.546*y + (3*t^8.965*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
46844	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6649	0.8602	0.7729	[M:[1.125, 0.75, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]]	4*t^2.25 + t^2.625 + t^3. + 3*t^3.375 + t^3.75 + 2*t^4.125 + 11*t^4.5 + 4*t^4.875 + 5*t^5.25 + 11*t^5.625 + 2*t^6. - t^4.5/y - t^4.5*y	detail	{a: 10893/16384, c: 14093/16384, M1: 9/8, M2: 3/4, M3: 3/4, M4: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2}

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
46283	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	0.6564	0.8431	0.7786	[M:[1.1623, 0.6755, 0.6755], q:[0.75, 0.4123], qb:[0.4123, 0.4255], phi:[0.5]]	2*t^2.026 + t^2.474 + t^2.513 + t^3. + 3*t^3.487 + t^3.526 + t^3.974 + 2*t^4.013 + 4*t^4.053 + 2*t^4.5 + 2*t^4.54 + t^4.947 + t^4.987 + 3*t^5.026 + t^5.474 + 7*t^5.513 + 2*t^5.553 + t^5.96 + t^6. - t^4.5/y - t^4.5*y	detail