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
674	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6477	0.8126	0.797	[M:[0.7807, 1.2, 0.8193, 0.8, 0.7613], q:[0.8, 0.4193], qb:[0.8, 0.3807], phi:[0.4]]	[M:[[1], [0], [-1], [0], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$	1	t^2.284 + t^2.342 + 2*t^2.4 + t^2.458 + t^3.484 + t^3.542 + t^3.6 + t^3.658 + t^4.568 + t^4.626 + 3*t^4.684 + 3*t^4.742 + 5*t^4.8 + 2*t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 + t^6. + t^6.058 + t^6.852 + t^6.91 + 4*t^6.968 + 5*t^7.026 + 7*t^7.084 + 5*t^7.142 + 6*t^7.2 + 2*t^7.258 + t^7.316 + t^7.374 + t^8.052 + 2*t^8.11 + 4*t^8.168 + 5*t^8.226 + 4*t^8.284 + t^8.342 - t^8.4 - 2*t^8.458 - 2*t^8.516 - t^4.2/y - t^6.484/y - t^6.542/y - t^6.6/y - t^6.658/y + t^7.626/y + (2*t^7.684)/y + (4*t^7.742)/y + (3*t^7.8)/y + (3*t^7.858)/y + t^7.916/y + t^8.826/y + (2*t^8.884)/y + (3*t^8.942)/y - t^4.2*y - t^6.484*y - t^6.542*y - t^6.6*y - t^6.658*y + t^7.626*y + 2*t^7.684*y + 4*t^7.742*y + 3*t^7.8*y + 3*t^7.858*y + t^7.916*y + t^8.826*y + 2*t^8.884*y + 3*t^8.942*y	g1^2*t^2.284 + g1*t^2.342 + 2*t^2.4 + t^2.458/g1 + g1^2*t^3.484 + g1*t^3.542 + t^3.6 + t^3.658/g1 + g1^4*t^4.568 + g1^3*t^4.626 + 3*g1^2*t^4.684 + 3*g1*t^4.742 + 5*t^4.8 + (2*t^4.858)/g1 + t^4.916/g1^2 + g1^4*t^5.768 + 2*g1^3*t^5.826 + 3*g1^2*t^5.884 + 3*g1*t^5.942 + t^6. + t^6.058/g1 + g1^6*t^6.852 + g1^5*t^6.91 + 4*g1^4*t^6.968 + 5*g1^3*t^7.026 + 7*g1^2*t^7.084 + 5*g1*t^7.142 + 6*t^7.2 + (2*t^7.258)/g1 + t^7.316/g1^2 + t^7.374/g1^3 + g1^6*t^8.052 + 2*g1^5*t^8.11 + 4*g1^4*t^8.168 + 5*g1^3*t^8.226 + 4*g1^2*t^8.284 + g1*t^8.342 - t^8.4 - (2*t^8.458)/g1 - (2*t^8.516)/g1^2 - t^4.2/y - (g1^2*t^6.484)/y - (g1*t^6.542)/y - t^6.6/y - t^6.658/(g1*y) + (g1^3*t^7.626)/y + (2*g1^2*t^7.684)/y + (4*g1*t^7.742)/y + (3*t^7.8)/y + (3*t^7.858)/(g1*y) + t^7.916/(g1^2*y) + (g1^3*t^8.826)/y + (2*g1^2*t^8.884)/y + (3*g1*t^8.942)/y - t^4.2*y - g1^2*t^6.484*y - g1*t^6.542*y - t^6.6*y - (t^6.658*y)/g1 + g1^3*t^7.626*y + 2*g1^2*t^7.684*y + 4*g1*t^7.742*y + 3*t^7.8*y + (3*t^7.858*y)/g1 + (t^7.916*y)/g1^2 + g1^3*t^8.826*y + 2*g1^2*t^8.884*y + 3*g1*t^8.942*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
1083	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$	0.6327	0.7884	0.8026	[M:[0.7698, 1.2, 0.8302, 0.8, 0.7397, 1.1698], q:[0.8, 0.4302], qb:[0.8, 0.3698], phi:[0.4]]	t^2.219 + t^2.309 + 2*t^2.4 + t^3.419 + 2*t^3.509 + t^3.6 + t^3.691 + t^4.438 + t^4.528 + 3*t^4.619 + 2*t^4.709 + 4*t^4.8 + t^5.638 + 3*t^5.728 + 4*t^5.819 + 4*t^5.909 - t^4.2/y - t^4.2*y	detail
1080	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$	0.6064	0.7564	0.8017	[M:[0.9, 1.2, 0.7, 0.8, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]]	t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + 2*t^4.2 + 2*t^4.5 + 5*t^4.8 + 3*t^5.1 + 3*t^5.4 + 2*t^5.7 + 2*t^6. - t^4.2/y - t^4.2*y	detail	{a: 4851/8000, c: 6051/8000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5}

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
413	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$	0.63	0.78	0.8077	[M:[0.8, 1.2, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]]	4*t^2.4 + 5*t^3.6 + 11*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y	detail	{a: 63/100, c: 39/50, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5}