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
47227	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6854	0.8464	0.8098	[X:[1.3333], M:[0.6667, 1.1111, 0.7985, 0.9792, 0.757], q:[0.7778, 0.5556], qb:[0.4237, 0.4652], phi:[0.4444]]	[X:[[0]], M:[[0], [0], [1], [-1], [-1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	${}$	-2	t^2.271 + t^2.396 + t^2.667 + 2*t^2.938 + t^3.333 + t^3.875 + 2*t^4. + t^4.125 + t^4.271 + t^4.396 + t^4.542 + 2*t^4.667 + t^4.791 + t^4.938 + t^5.062 + 2*t^5.209 + 3*t^5.333 + 2*t^5.604 + 2*t^5.875 - 2*t^6. - t^6.125 + t^6.147 + 3*t^6.271 + t^6.396 + t^6.52 + 2*t^6.542 + 2*t^6.667 + 2*t^6.791 + 3*t^6.813 + 4*t^6.938 + 2*t^7.062 + t^7.187 + 2*t^7.209 + 2*t^7.333 + 2*t^7.48 + 3*t^7.604 + t^7.729 + t^7.751 + 3*t^7.875 + 3*t^8. + t^8.125 + 3*t^8.147 + t^8.249 + t^8.271 - 4*t^8.396 + t^8.418 + 4*t^8.542 + t^8.791 + 4*t^8.813 + t^8.916 - 2*t^8.938 - t^4.333/y - t^6.604/y - t^6.729/y - t^7.271/y + t^7.396/y + t^7.667/y + (2*t^7.938)/y + (2*t^8.062)/y + (2*t^8.209)/y + (2*t^8.333)/y + (3*t^8.604)/y + t^8.729/y - t^4.333*y - t^6.604*y - t^6.729*y - t^7.271*y + t^7.396*y + t^7.667*y + 2*t^7.938*y + 2*t^8.062*y + 2*t^8.209*y + 2*t^8.333*y + 3*t^8.604*y + t^8.729*y	t^2.271/g1 + g1*t^2.396 + t^2.667 + (2*t^2.938)/g1 + t^3.333 + t^3.875/g1^2 + 2*t^4. + g1^2*t^4.125 + t^4.271/g1 + g1*t^4.396 + t^4.542/g1^2 + 2*t^4.667 + g1^2*t^4.791 + t^4.938/g1 + g1*t^5.062 + (2*t^5.209)/g1^2 + 3*t^5.333 + (2*t^5.604)/g1 + (2*t^5.875)/g1^2 - 2*t^6. - g1^2*t^6.125 + t^6.147/g1^3 + (3*t^6.271)/g1 + g1*t^6.396 + g1^3*t^6.52 + (2*t^6.542)/g1^2 + 2*t^6.667 + 2*g1^2*t^6.791 + (3*t^6.813)/g1^3 + (4*t^6.938)/g1 + 2*g1*t^7.062 + g1^3*t^7.187 + (2*t^7.209)/g1^2 + 2*t^7.333 + (2*t^7.48)/g1^3 + (3*t^7.604)/g1 + g1*t^7.729 + t^7.751/g1^4 + (3*t^7.875)/g1^2 + 3*t^8. + g1^2*t^8.125 + (3*t^8.147)/g1^3 + g1^4*t^8.249 + t^8.271/g1 - 4*g1*t^8.396 + t^8.418/g1^4 + (4*t^8.542)/g1^2 + g1^2*t^8.791 + (4*t^8.813)/g1^3 + g1^4*t^8.916 - (2*t^8.938)/g1 - t^4.333/y - t^6.604/(g1*y) - (g1*t^6.729)/y - t^7.271/(g1*y) + (g1*t^7.396)/y + t^7.667/y + (2*t^7.938)/(g1*y) + (2*g1*t^8.062)/y + (2*t^8.209)/(g1^2*y) + (2*t^8.333)/y + (3*t^8.604)/(g1*y) + (g1*t^8.729)/y - t^4.333*y - (t^6.604*y)/g1 - g1*t^6.729*y - (t^7.271*y)/g1 + g1*t^7.396*y + t^7.667*y + (2*t^7.938*y)/g1 + 2*g1*t^8.062*y + (2*t^8.209*y)/g1^2 + 2*t^8.333*y + (3*t^8.604*y)/g1 + g1*t^8.729*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
53487	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.7059	0.8856	0.7971	[X:[1.3333], M:[0.6667, 1.1111, 0.7918, 0.9859, 0.7637, 0.6948], q:[0.7778, 0.5556], qb:[0.4304, 0.4585], phi:[0.4444]]	t^2.084 + t^2.291 + t^2.376 + t^2.667 + 2*t^2.958 + t^3.333 + 2*t^4. + t^4.084 + t^4.169 + t^4.291 + 2*t^4.376 + t^4.46 + t^4.582 + 2*t^4.667 + 2*t^4.751 + t^4.958 + 3*t^5.042 + 2*t^5.249 + 3*t^5.333 + t^5.418 + 2*t^5.624 + 2*t^5.916 - 2*t^6. - t^4.333/y - t^4.333*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
46791	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.6669	0.8127	0.8206	[X:[1.3333], M:[0.6667, 1.1111, 0.7879, 0.9899], q:[0.7778, 0.5556], qb:[0.4343, 0.4545], phi:[0.4444]]	t^2.364 + t^2.667 + 2*t^2.97 + t^3.333 + t^3.697 + t^3.939 + 2*t^4. + t^4.061 + t^4.303 + t^4.364 + t^4.667 + t^4.727 + t^5.03 + 3*t^5.333 + t^5.636 + 2*t^5.939 - 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 3169/4752, c: 1931/2376, X1: 4/3, M1: 2/3, M2: 10/9, M3: 26/33, M4: 98/99, q1: 7/9, q2: 5/9, qb1: 43/99, qb2: 5/11, phi1: 4/9}