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
249	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6426	0.819	0.7847	[M:[1.1534, 1.1608, 0.6858, 0.6783], q:[0.75, 0.4358], qb:[0.4108, 0.4034], phi:[0.5]]	[M:[[0, 1], [1, 0], [-1, -1], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	${}$	-2	t^2.035 + t^2.057 + t^2.443 + t^3. + 2*t^3.46 + 2*t^3.482 + t^3.557 + t^3.92 + t^4.018 + t^4.04 + t^4.07 + t^4.092 + 2*t^4.115 + t^4.478 + t^4.5 + t^4.885 + t^5.035 + t^5.057 + t^5.443 + 2*t^5.495 + 4*t^5.518 + 2*t^5.54 + t^5.592 + t^5.615 + t^5.903 + t^5.925 + t^5.955 - 2*t^6. - t^6.022 + t^6.053 + t^6.075 + t^6.105 + t^6.127 + 2*t^6.15 + 2*t^6.172 + t^6.363 + t^6.46 + t^6.482 + t^6.513 + t^6.535 + t^6.557 + 4*t^6.92 + 3*t^6.943 + 2*t^6.965 + t^7.018 + t^7.04 + t^7.07 + t^7.092 + 2*t^7.115 + t^7.328 + 2*t^7.381 - 2*t^7.425 + 2*t^7.478 + t^7.5 + 2*t^7.53 + 4*t^7.553 + 5*t^7.575 + 3*t^7.597 + t^7.627 + t^7.65 + 2*t^7.672 + t^7.841 + 2*t^7.938 + t^7.96 - t^7.982 + t^7.99 - t^8.035 - 4*t^8.057 - t^8.08 + t^8.088 + t^8.11 + t^8.132 + t^8.14 + t^8.155 + t^8.162 + 2*t^8.185 + 2*t^8.207 + 3*t^8.229 + t^8.345 + t^8.368 + t^8.398 - 2*t^8.443 - t^8.465 + t^8.495 + t^8.518 + t^8.548 + t^8.57 + t^8.592 + t^8.615 + t^8.806 + 4*t^8.955 + 5*t^8.978 - t^4.5/y - t^6.535/y - t^6.557/y + t^7.018/y + t^7.04/y + t^7.092/y + t^7.478/y + t^7.5/y - t^7.96/y - t^7.982/y + t^8.035/y + t^8.057/y + (2*t^8.443)/y + t^8.465/y + (2*t^8.495)/y + (4*t^8.518)/y + (2*t^8.54)/y - t^8.57/y + (2*t^8.903)/y + (2*t^8.925)/y + t^8.955/y + t^8.978/y - t^4.5*y - t^6.535*y - t^6.557*y + t^7.018*y + t^7.04*y + t^7.092*y + t^7.478*y + t^7.5*y - t^7.96*y - t^7.982*y + t^8.035*y + t^8.057*y + 2*t^8.443*y + t^8.465*y + 2*t^8.495*y + 4*t^8.518*y + 2*t^8.54*y - t^8.57*y + 2*t^8.903*y + 2*t^8.925*y + t^8.955*y + t^8.978*y	t^2.035/g1^2 + t^2.057/(g1*g2) + g1*g2*t^2.443 + t^3. + 2*g2*t^3.46 + 2*g1*t^3.482 + t^3.557/(g1*g2) + g2^2*t^3.92 + t^4.018/g1 + t^4.04/g2 + t^4.07/g1^4 + t^4.092/(g1^3*g2) + (2*t^4.115)/(g1^2*g2^2) + (g2*t^4.478)/g1 + t^4.5 + g1^2*g2^2*t^4.885 + t^5.035/g1^2 + t^5.057/(g1*g2) + g1*g2*t^5.443 + (2*g2*t^5.495)/g1^2 + (4*t^5.518)/g1 + (2*t^5.54)/g2 + t^5.592/(g1^3*g2) + t^5.615/(g1^2*g2^2) + g1*g2^2*t^5.903 + g1^2*g2*t^5.925 + (g2^2*t^5.955)/g1^2 - 2*t^6. - (g1*t^6.022)/g2 + t^6.053/g1^3 + t^6.075/(g1^2*g2) + t^6.105/g1^6 + t^6.127/(g1^5*g2) + (2*t^6.15)/(g1^4*g2^2) + (2*t^6.172)/(g1^3*g2^3) + g1*g2^3*t^6.363 + g2*t^6.46 + g1*t^6.482 + (g2*t^6.513)/g1^3 + t^6.535/g1^2 + t^6.557/(g1*g2) + 4*g2^2*t^6.92 + 3*g1*g2*t^6.943 + 2*g1^2*t^6.965 + t^7.018/g1 + t^7.04/g2 + t^7.07/g1^4 + t^7.092/(g1^3*g2) + (2*t^7.115)/(g1^2*g2^2) + g1^3*g2^3*t^7.328 + 2*g2^3*t^7.381 - 2*g1^2*g2*t^7.425 + (2*g2*t^7.478)/g1 + t^7.5 + (2*g2*t^7.53)/g1^4 + (4*t^7.553)/g1^3 + (5*t^7.575)/(g1^2*g2) + (3*t^7.597)/(g1*g2^2) + t^7.627/(g1^5*g2) + t^7.65/(g1^4*g2^2) + (2*t^7.672)/(g1^3*g2^3) + g2^4*t^7.841 + (2*g2^2*t^7.938)/g1 + g2*t^7.96 - g1*t^7.982 + (g2^2*t^7.99)/g1^4 - t^8.035/g1^2 - (4*t^8.057)/(g1*g2) - t^8.08/g2^2 + t^8.088/g1^5 + t^8.11/(g1^4*g2) + t^8.132/(g1^3*g2^2) + t^8.14/g1^8 + t^8.155/(g1^2*g2^3) + t^8.162/(g1^7*g2) + (2*t^8.185)/(g1^6*g2^2) + (2*t^8.207)/(g1^5*g2^3) + (3*t^8.229)/(g1^4*g2^4) + g1^2*g2^3*t^8.345 + g1^3*g2^2*t^8.368 + (g2^3*t^8.398)/g1 - 2*g1*g2*t^8.443 - g1^2*t^8.465 + (g2*t^8.495)/g1^2 + t^8.518/g1 + (g2*t^8.548)/g1^5 + t^8.57/g1^4 + t^8.592/(g1^3*g2) + t^8.615/(g1^2*g2^2) + g1^2*g2^4*t^8.806 + (4*g2^2*t^8.955)/g1^2 + (5*g2*t^8.978)/g1 - t^4.5/y - t^6.535/(g1^2*y) - t^6.557/(g1*g2*y) + t^7.018/(g1*y) + t^7.04/(g2*y) + t^7.092/(g1^3*g2*y) + (g2*t^7.478)/(g1*y) + t^7.5/y - (g2*t^7.96)/y - (g1*t^7.982)/y + t^8.035/(g1^2*y) + t^8.057/(g1*g2*y) + (2*g1*g2*t^8.443)/y + (g1^2*t^8.465)/y + (2*g2*t^8.495)/(g1^2*y) + (4*t^8.518)/(g1*y) + (2*t^8.54)/(g2*y) - t^8.57/(g1^4*y) + (2*g1*g2^2*t^8.903)/y + (2*g1^2*g2*t^8.925)/y + (g2^2*t^8.955)/(g1^2*y) + (g2*t^8.978)/(g1*y) - t^4.5*y - (t^6.535*y)/g1^2 - (t^6.557*y)/(g1*g2) + (t^7.018*y)/g1 + (t^7.04*y)/g2 + (t^7.092*y)/(g1^3*g2) + (g2*t^7.478*y)/g1 + t^7.5*y - g2*t^7.96*y - g1*t^7.982*y + (t^8.035*y)/g1^2 + (t^8.057*y)/(g1*g2) + 2*g1*g2*t^8.443*y + g1^2*t^8.465*y + (2*g2*t^8.495*y)/g1^2 + (4*t^8.518*y)/g1 + (2*t^8.54*y)/g2 - (t^8.57*y)/g1^4 + 2*g1*g2^2*t^8.903*y + 2*g1^2*g2*t^8.925*y + (g2^2*t^8.955*y)/g1^2 + (g2*t^8.978*y)/g1

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
398	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$	0.6341	0.8036	0.7891	[M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]]	t^2.05 + t^2.367 + t^2.45 + t^3. + 2*t^3.317 + t^3.55 + 2*t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + t^4.417 + t^4.5 + t^4.734 + t^4.817 + t^4.899 + t^5.05 + 3*t^5.367 + t^5.45 + t^5.601 + 3*t^5.683 + t^5.766 + t^5.917 - t^4.5/y - t^4.5*y	detail
1761	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}q_{1}q_{2}$	0.6352	0.809	0.7853	[M:[1.1103, 1.1397, 0.75, 0.7206], q:[0.75, 0.5], qb:[0.3897, 0.3603], phi:[0.5]]	t^2.162 + 2*t^2.25 + t^3. + 2*t^3.331 + 2*t^3.419 + t^3.662 + t^3.75 + t^4.081 + t^4.169 + t^4.324 + 2*t^4.412 + 4*t^4.5 + t^5.162 + 2*t^5.25 + 2*t^5.493 + 5*t^5.581 + 3*t^5.669 + t^5.824 + 2*t^5.912 - t^6. - t^4.5/y - t^4.5*y	detail
399	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6633	0.8593	0.772	[M:[1.1588, 1.1588, 0.6825, 0.6825, 0.6825], q:[0.75, 0.4325], qb:[0.4088, 0.4088], phi:[0.5]]	3*t^2.047 + t^2.453 + t^3. + 4*t^3.476 + t^3.547 + 2*t^4.024 + 7*t^4.095 + 3*t^4.5 + t^4.905 + 3*t^5.047 + t^5.453 + 12*t^5.524 + 3*t^5.595 + 2*t^5.929 - 4*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
157	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6218	0.7781	0.7992	[M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]]	t^2.063 + t^2.437 + t^3. + 4*t^3.468 + t^3.563 + 2*t^3.937 + 2*t^4.032 + 2*t^4.127 + t^4.5 + t^4.873 + t^5.063 + t^5.437 + 4*t^5.532 + t^5.627 + 2*t^5.905 - 2*t^6. - t^4.5/y - t^4.5*y	detail