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
406	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6776	0.8842	0.7663	[M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]]	[M:[[2], [-4], [-1], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	-1	2*t^2.021 + t^2.082 + 2*t^2.479 + t^3. + 2*t^3.459 + 2*t^3.521 + 6*t^4.041 + 2*t^4.103 + t^4.164 + 4*t^4.5 + 2*t^4.562 + 3*t^4.959 + 2*t^5.021 + t^5.082 + 6*t^5.479 + 6*t^5.541 + 2*t^5.603 + 2*t^5.938 - t^6. + 8*t^6.062 + 6*t^6.123 + 2*t^6.185 + t^6.246 + 10*t^6.521 + 4*t^6.582 + 2*t^6.644 + 2*t^6.918 + 6*t^6.979 + 8*t^7.041 + 2*t^7.103 + t^7.164 + 8*t^7.5 + 14*t^7.562 + 6*t^7.623 + 2*t^7.685 + 3*t^7.959 - 4*t^8.021 + 14*t^8.082 + 8*t^8.144 + 6*t^8.205 + 2*t^8.267 + t^8.329 + 2*t^8.418 - 4*t^8.479 + 12*t^8.541 + 10*t^8.603 + 4*t^8.664 + 2*t^8.726 + 2*t^8.938 - t^4.5/y - (2*t^6.521)/y - t^6.582/y + (2*t^7.041)/y + (2*t^7.103)/y + (4*t^7.5)/y + (2*t^7.562)/y + (2*t^8.021)/y + t^8.082/y + t^8.418/y + (8*t^8.479)/y + (3*t^8.541)/y - t^8.664/y + (4*t^8.938)/y - t^4.5*y - 2*t^6.521*y - t^6.582*y + 2*t^7.041*y + 2*t^7.103*y + 4*t^7.5*y + 2*t^7.562*y + 2*t^8.021*y + t^8.082*y + t^8.418*y + 8*t^8.479*y + 3*t^8.541*y - t^8.664*y + 4*t^8.938*y	(2*t^2.021)/g1 + t^2.082/g1^4 + 2*g1*t^2.479 + t^3. + 2*g1^2*t^3.459 + (2*t^3.521)/g1 + (6*t^4.041)/g1^2 + (2*t^4.103)/g1^5 + t^4.164/g1^8 + 4*t^4.5 + (2*t^4.562)/g1^3 + 3*g1^2*t^4.959 + (2*t^5.021)/g1 + t^5.082/g1^4 + 6*g1*t^5.479 + (6*t^5.541)/g1^2 + (2*t^5.603)/g1^5 + 2*g1^3*t^5.938 - t^6. + (8*t^6.062)/g1^3 + (6*t^6.123)/g1^6 + (2*t^6.185)/g1^9 + t^6.246/g1^12 + (10*t^6.521)/g1 + (4*t^6.582)/g1^4 + (2*t^6.644)/g1^7 + 2*g1^4*t^6.918 + 6*g1*t^6.979 + (8*t^7.041)/g1^2 + (2*t^7.103)/g1^5 + t^7.164/g1^8 + 8*t^7.5 + (14*t^7.562)/g1^3 + (6*t^7.623)/g1^6 + (2*t^7.685)/g1^9 + 3*g1^2*t^7.959 - (4*t^8.021)/g1 + (14*t^8.082)/g1^4 + (8*t^8.144)/g1^7 + (6*t^8.205)/g1^10 + (2*t^8.267)/g1^13 + t^8.329/g1^16 + 2*g1^4*t^8.418 - 4*g1*t^8.479 + (12*t^8.541)/g1^2 + (10*t^8.603)/g1^5 + (4*t^8.664)/g1^8 + (2*t^8.726)/g1^11 + 2*g1^3*t^8.938 - t^4.5/y - (2*t^6.521)/(g1*y) - t^6.582/(g1^4*y) + (2*t^7.041)/(g1^2*y) + (2*t^7.103)/(g1^5*y) + (4*t^7.5)/y + (2*t^7.562)/(g1^3*y) + (2*t^8.021)/(g1*y) + t^8.082/(g1^4*y) + (g1^4*t^8.418)/y + (8*g1*t^8.479)/y + (3*t^8.541)/(g1^2*y) - t^8.664/(g1^8*y) + (4*g1^3*t^8.938)/y - t^4.5*y - (2*t^6.521*y)/g1 - (t^6.582*y)/g1^4 + (2*t^7.041*y)/g1^2 + (2*t^7.103*y)/g1^5 + 4*t^7.5*y + (2*t^7.562*y)/g1^3 + (2*t^8.021*y)/g1 + (t^8.082*y)/g1^4 + g1^4*t^8.418*y + 8*g1*t^8.479*y + (3*t^8.541*y)/g1^2 - (t^8.664*y)/g1^8 + 4*g1^3*t^8.938*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
1838	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$	0.6925	0.9093	0.7615	[M:[1.1463, 0.7074, 0.6769, 0.6769, 0.8231], q:[0.75, 0.4269], qb:[0.4269, 0.3963], phi:[0.5]]	2*t^2.031 + t^2.122 + 3*t^2.469 + t^3. + 2*t^3.439 + t^3.531 + 6*t^4.061 + 2*t^4.153 + t^4.244 + 6*t^4.5 + 3*t^4.592 + 6*t^4.939 + 2*t^5.031 + t^5.122 + 7*t^5.469 + 4*t^5.561 + t^5.653 + 4*t^5.908 - 2*t^6. - t^4.5/y - t^4.5*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
253	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6567	0.8429	0.7791	[M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]]	t^2.021 + t^2.084 + 2*t^2.479 + t^3. + 2*t^3.458 + 2*t^3.521 + t^3.979 + 4*t^4.042 + t^4.106 + t^4.169 + 2*t^4.5 + 2*t^4.563 + 3*t^4.958 + t^5.021 + t^5.084 + 4*t^5.479 + 4*t^5.542 + 2*t^5.606 + 2*t^5.937 - t^4.5/y - t^4.5*y	detail