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
56557	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$	0.6171	0.7931	0.7781	[X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.8571, 0.7557, 0.7143], q:[0.6936, 0.8779], qb:[0.3064, 0.4079], phi:[0.4286]]	[X:[[0]], M:[[0], [0], [0], [0], [0], [-2], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-2	2*t^2.143 + t^2.267 + 2*t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.553 + 3*t^4.286 + 2*t^4.41 + t^4.534 + 5*t^4.714 + 2*t^4.839 + 5*t^5.143 + 3*t^5.267 + t^5.391 + 2*t^5.447 + 2*t^5.571 + 3*t^5.696 + t^5.82 + t^5.876 - 2*t^6. + 2*t^6.124 + t^6.249 + 3*t^6.429 + 3*t^6.553 + t^6.609 + 3*t^6.677 - t^6.733 + t^6.801 + 5*t^6.857 + 3*t^6.981 + 3*t^7.106 - 2*t^7.161 + 8*t^7.286 + 7*t^7.41 + 3*t^7.534 + 2*t^7.59 + t^7.659 + 7*t^7.714 + 7*t^7.839 + 3*t^7.963 + 2*t^8.019 + t^8.087 - 4*t^8.143 + 3*t^8.267 + 4*t^8.391 + t^8.516 - 2*t^8.571 + 4*t^8.696 + 2*t^8.751 + 6*t^8.82 - 3*t^8.876 + 3*t^8.944 - t^4.286/y - t^6.429/y - t^6.553/y - (2*t^6.857)/y + t^7.286/y + (2*t^7.41)/y + (6*t^7.714)/y + (2*t^7.839)/y + t^8.019/y + (4*t^8.143)/y + (3*t^8.267)/y + t^8.391/y + (2*t^8.447)/y + (2*t^8.571)/y + (3*t^8.696)/y + (2*t^8.876)/y - t^4.286*y - t^6.429*y - t^6.553*y - 2*t^6.857*y + t^7.286*y + 2*t^7.41*y + 6*t^7.714*y + 2*t^7.839*y + t^8.019*y + 4*t^8.143*y + 3*t^8.267*y + t^8.391*y + 2*t^8.447*y + 2*t^8.571*y + 3*t^8.696*y + 2*t^8.876*y	2*t^2.143 + t^2.267/g1^2 + 2*t^2.571 + t^3. + t^3.124/g1^2 + g1^2*t^3.304 + t^3.553/g1^2 + 3*t^4.286 + (2*t^4.41)/g1^2 + t^4.534/g1^4 + 5*t^4.714 + (2*t^4.839)/g1^2 + 5*t^5.143 + (3*t^5.267)/g1^2 + t^5.391/g1^4 + 2*g1^2*t^5.447 + 2*t^5.571 + (3*t^5.696)/g1^2 + t^5.82/g1^4 + g1^2*t^5.876 - 2*t^6. + (2*t^6.124)/g1^2 + t^6.249/g1^4 + 3*t^6.429 + (3*t^6.553)/g1^2 + g1^4*t^6.609 + (3*t^6.677)/g1^4 - g1^2*t^6.733 + t^6.801/g1^6 + 5*t^6.857 + (3*t^6.981)/g1^2 + (3*t^7.106)/g1^4 - 2*g1^2*t^7.161 + 8*t^7.286 + (7*t^7.41)/g1^2 + (3*t^7.534)/g1^4 + 2*g1^2*t^7.59 + t^7.659/g1^6 + 7*t^7.714 + (7*t^7.839)/g1^2 + (3*t^7.963)/g1^4 + 2*g1^2*t^8.019 + t^8.087/g1^6 - 4*t^8.143 + (3*t^8.267)/g1^2 + (4*t^8.391)/g1^4 + t^8.516/g1^6 - 2*t^8.571 + (4*t^8.696)/g1^2 + 2*g1^4*t^8.751 + (6*t^8.82)/g1^4 - 3*g1^2*t^8.876 + (3*t^8.944)/g1^6 - t^4.286/y - t^6.429/y - t^6.553/(g1^2*y) - (2*t^6.857)/y + t^7.286/y + (2*t^7.41)/(g1^2*y) + (6*t^7.714)/y + (2*t^7.839)/(g1^2*y) + (g1^2*t^8.019)/y + (4*t^8.143)/y + (3*t^8.267)/(g1^2*y) + t^8.391/(g1^4*y) + (2*g1^2*t^8.447)/y + (2*t^8.571)/y + (3*t^8.696)/(g1^2*y) + (2*g1^2*t^8.876)/y - t^4.286*y - t^6.429*y - (t^6.553*y)/g1^2 - 2*t^6.857*y + t^7.286*y + (2*t^7.41*y)/g1^2 + 6*t^7.714*y + (2*t^7.839*y)/g1^2 + g1^2*t^8.019*y + 4*t^8.143*y + (3*t^8.267*y)/g1^2 + (t^8.391*y)/g1^4 + 2*g1^2*t^8.447*y + 2*t^8.571*y + (3*t^8.696*y)/g1^2 + 2*g1^2*t^8.876*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
58835	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6232	0.8018	0.7773	[X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.8571, 0.8036, 0.7143, 0.9107], q:[0.6696, 0.9018], qb:[0.3304, 0.3839], phi:[0.4286]]	2*t^2.143 + t^2.411 + 2*t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.696 + 3*t^4.286 + 2*t^4.554 + 5*t^4.714 + t^4.821 + 2*t^4.875 + 2*t^4.982 + 6*t^5.143 + 4*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + 2*t^5.732 + t^5.839 + t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y	detail	{a: 54723/87808, c: 70403/87808, X1: 11/7, M1: 3/7, M2: 1, M3: 9/7, M4: 5/7, M5: 6/7, M6: 45/56, M7: 5/7, M8: 51/56, q1: 75/112, q2: 101/112, qb1: 37/112, qb2: 43/112, phi1: 3/7}

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
54291	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.5969	0.755	0.7906	[X:[1.5714], M:[0.4286, 1.0, 1.2857, 0.7143, 0.8571, 0.7557], q:[0.6936, 0.8779], qb:[0.3064, 0.4079], phi:[0.4286]]	t^2.143 + t^2.267 + 2*t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.553 + t^3.857 + t^4.286 + t^4.41 + t^4.534 + 3*t^4.714 + 2*t^4.839 + 4*t^5.143 + 2*t^5.267 + t^5.391 + t^5.447 + 2*t^5.571 + 2*t^5.696 + t^5.82 + t^5.876 - t^6. - t^4.286/y - t^4.286*y	detail