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
2794	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$	0.6191	0.8066	0.7675	[M:[0.9622, 1.1133, 0.9622, 0.8867, 0.6699], q:[0.7406, 0.2972], qb:[0.4811, 0.4056], phi:[0.5189]]	[M:[[4], [-12], [4], [12], [-18]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.01 + t^2.108 + t^2.335 + t^2.66 + 2*t^2.887 + t^3.34 + t^3.438 + 2*t^3.665 + t^3.892 + t^4.02 + t^4.118 + 2*t^4.217 + t^4.345 + 2*t^4.443 + 2*t^4.67 + t^4.769 + 2*t^4.896 + 3*t^4.995 + 2*t^5.222 + t^5.32 + t^5.35 + t^5.448 + 3*t^5.547 + 2*t^5.675 + 4*t^5.773 + t^5.901 + t^6.029 + t^6.099 + t^6.128 + 2*t^6.227 + 4*t^6.325 + t^6.354 + 2*t^6.453 + 4*t^6.552 + 3*t^6.68 + 2*t^6.778 + 2*t^6.877 + 2*t^6.906 + 3*t^7.005 + 6*t^7.104 + 2*t^7.231 + 4*t^7.33 + t^7.359 + t^7.429 + t^7.458 + 3*t^7.557 + 4*t^7.655 + 2*t^7.685 + 3*t^7.783 + 5*t^7.882 + t^7.911 + t^7.98 + t^8.039 + 2*t^8.108 + t^8.138 + 3*t^8.207 + 2*t^8.236 + t^8.335 + t^8.364 + 6*t^8.434 + 2*t^8.463 + 2*t^8.562 + 4*t^8.66 + 3*t^8.689 + t^8.759 + 2*t^8.788 - 2*t^8.887 + 2*t^8.916 + 4*t^8.985 - t^4.557/y - t^6.566/y + t^7.118/y + t^7.345/y + (2*t^7.67)/y + t^7.769/y + (2*t^7.896)/y + (3*t^7.995)/y + (2*t^8.222)/y + t^8.35/y + (2*t^8.448)/y + (4*t^8.547)/y - t^8.576/y + (3*t^8.675)/y + (4*t^8.773)/y + t^8.901/y - t^4.557*y - t^6.566*y + t^7.118*y + t^7.345*y + 2*t^7.67*y + t^7.769*y + 2*t^7.896*y + 3*t^7.995*y + 2*t^8.222*y + t^8.35*y + 2*t^8.448*y + 4*t^8.547*y - t^8.576*y + 3*t^8.675*y + 4*t^8.773*y + t^8.901*y	t^2.01/g1^18 + g1^5*t^2.108 + t^2.335/g1^3 + g1^12*t^2.66 + 2*g1^4*t^2.887 + t^3.34/g1^12 + g1^11*t^3.438 + 2*g1^3*t^3.665 + t^3.892/g1^5 + t^4.02/g1^36 + t^4.118/g1^13 + 2*g1^10*t^4.217 + t^4.345/g1^21 + 2*g1^2*t^4.443 + (2*t^4.67)/g1^6 + g1^17*t^4.769 + (2*t^4.896)/g1^14 + 3*g1^9*t^4.995 + 2*g1*t^5.222 + g1^24*t^5.32 + t^5.35/g1^30 + t^5.448/g1^7 + 3*g1^16*t^5.547 + (2*t^5.675)/g1^15 + 4*g1^8*t^5.773 + t^5.901/g1^23 + t^6.029/g1^54 + g1^23*t^6.099 + t^6.128/g1^31 + (2*t^6.227)/g1^8 + 4*g1^15*t^6.325 + t^6.354/g1^39 + (2*t^6.453)/g1^16 + 4*g1^7*t^6.552 + (3*t^6.68)/g1^24 + (2*t^6.778)/g1 + 2*g1^22*t^6.877 + (2*t^6.906)/g1^32 + (3*t^7.005)/g1^9 + 6*g1^14*t^7.104 + (2*t^7.231)/g1^17 + 4*g1^6*t^7.33 + t^7.359/g1^48 + g1^29*t^7.429 + t^7.458/g1^25 + (3*t^7.557)/g1^2 + 4*g1^21*t^7.655 + (2*t^7.685)/g1^33 + (3*t^7.783)/g1^10 + 5*g1^13*t^7.882 + t^7.911/g1^41 + g1^36*t^7.98 + t^8.039/g1^72 + 2*g1^5*t^8.108 + t^8.138/g1^49 + 3*g1^28*t^8.207 + (2*t^8.236)/g1^26 + t^8.335/g1^3 + t^8.364/g1^57 + 6*g1^20*t^8.434 + (2*t^8.463)/g1^34 + (2*t^8.562)/g1^11 + 4*g1^12*t^8.66 + (3*t^8.689)/g1^42 + g1^35*t^8.759 + (2*t^8.788)/g1^19 - 2*g1^4*t^8.887 + (2*t^8.916)/g1^50 + 4*g1^27*t^8.985 - t^4.557/(g1^2*y) - t^6.566/(g1^20*y) + t^7.118/(g1^13*y) + t^7.345/(g1^21*y) + (2*t^7.67)/(g1^6*y) + (g1^17*t^7.769)/y + (2*t^7.896)/(g1^14*y) + (3*g1^9*t^7.995)/y + (2*g1*t^8.222)/y + t^8.35/(g1^30*y) + (2*t^8.448)/(g1^7*y) + (4*g1^16*t^8.547)/y - t^8.576/(g1^38*y) + (3*t^8.675)/(g1^15*y) + (4*g1^8*t^8.773)/y + t^8.901/(g1^23*y) - (t^4.557*y)/g1^2 - (t^6.566*y)/g1^20 + (t^7.118*y)/g1^13 + (t^7.345*y)/g1^21 + (2*t^7.67*y)/g1^6 + g1^17*t^7.769*y + (2*t^7.896*y)/g1^14 + 3*g1^9*t^7.995*y + 2*g1*t^8.222*y + (t^8.35*y)/g1^30 + (2*t^8.448*y)/g1^7 + 4*g1^16*t^8.547*y - (t^8.576*y)/g1^38 + (3*t^8.675*y)/g1^15 + 4*g1^8*t^8.773*y + (t^8.901*y)/g1^23

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
3314	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6186	0.8061	0.7674	[M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]]	2*t^2.087 + t^2.348 + t^2.609 + 2*t^2.87 + 2*t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 3*t^4.696 + 5*t^4.957 + 3*t^5.217 + 5*t^5.478 + 6*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 120429/194672, c: 78465/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23}
3315	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6303	0.8264	0.7627	[M:[0.954, 1.138, 0.954, 0.862, 0.707, 0.862], q:[0.7385, 0.3075], qb:[0.477, 0.385], phi:[0.523]]	t^2.078 + t^2.121 + t^2.353 + 2*t^2.586 + 2*t^2.862 + t^3.371 + 2*t^3.647 + t^3.922 + 2*t^4.155 + t^4.198 + t^4.242 + 2*t^4.431 + t^4.474 + 2*t^4.664 + 3*t^4.707 + 4*t^4.94 + 2*t^4.983 + 3*t^5.172 + 2*t^5.216 + 5*t^5.448 + 4*t^5.724 + t^5.767 + 2*t^5.957 - t^6. - t^4.569/y - t^4.569*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
1784	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	0.5983	0.7653	0.7818	[M:[0.9618, 1.1147, 0.9618, 0.8853], q:[0.7404, 0.2978], qb:[0.4809, 0.4044], phi:[0.5191]]	t^2.107 + t^2.336 + t^2.656 + 2*t^2.885 + t^3.344 + t^3.435 + 2*t^3.664 + t^3.893 + t^3.984 + 2*t^4.213 + 2*t^4.443 + t^4.672 + t^4.763 + 3*t^4.992 + 2*t^5.221 + t^5.312 + 3*t^5.541 + 4*t^5.771 - t^4.557/y - t^4.557*y	detail