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
3096	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$	0.637	0.7874	0.8089	[X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.8144, 0.8504, 1.1137], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]]	[X:[[12]], M:[[-12], [4], [6], [-24], [-4], [-14], [24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-3	t^2.335 + 2*t^2.443 + t^2.551 + 2*t^3.341 + t^3.665 + t^3.773 + t^3.989 + t^4.563 + 2*t^4.67 + t^4.778 + 5*t^4.886 + 2*t^4.994 + t^5.676 + 5*t^5.784 + t^5.892 - 3*t^6. + 2*t^6.108 + 2*t^6.216 + 2*t^6.432 + t^6.54 + 3*t^6.682 - 2*t^6.898 + 4*t^7.006 + 3*t^7.114 + 7*t^7.33 + 5*t^7.437 - t^7.545 + t^7.653 + t^7.761 + 2*t^7.904 + t^7.977 + 2*t^8.011 - t^8.119 + 8*t^8.227 + t^8.335 - 8*t^8.443 + 4*t^8.659 - t^8.767 + 3*t^8.875 + 2*t^8.983 - t^4.222/y - t^6.557/y - t^6.665/y - t^6.773/y + t^7.67/y + (3*t^7.778)/y + (3*t^7.886)/y + (2*t^7.994)/y + (2*t^8.676)/y + (4*t^8.784)/y + t^8.892/y - t^4.222*y - t^6.557*y - t^6.665*y - t^6.773*y + t^7.67*y + 3*t^7.778*y + 3*t^7.886*y + 2*t^7.994*y + 2*t^8.676*y + 4*t^8.784*y + t^8.892*y	g1^6*t^2.335 + (2*t^2.443)/g1^4 + t^2.551/g1^14 + 2*g1^24*t^3.341 + t^3.665/g1^6 + t^3.773/g1^16 + t^3.989/g1^36 + g1^22*t^4.563 + 2*g1^12*t^4.67 + g1^2*t^4.778 + (5*t^4.886)/g1^8 + (2*t^4.994)/g1^18 + g1^30*t^5.676 + 5*g1^20*t^5.784 + g1^10*t^5.892 - 3*t^6. + (2*t^6.108)/g1^10 + (2*t^6.216)/g1^20 + (2*t^6.432)/g1^40 + t^6.54/g1^50 + 3*g1^48*t^6.682 - 2*g1^28*t^6.898 + 4*g1^18*t^7.006 + 3*g1^8*t^7.114 + (7*t^7.33)/g1^12 + (5*t^7.437)/g1^22 - t^7.545/g1^32 + t^7.653/g1^42 + t^7.761/g1^52 + 2*g1^46*t^7.904 + t^7.977/g1^72 + 2*g1^36*t^8.011 - g1^26*t^8.119 + 8*g1^16*t^8.227 + g1^6*t^8.335 - (8*t^8.443)/g1^4 + (4*t^8.659)/g1^24 - t^8.767/g1^34 + (3*t^8.875)/g1^44 + (2*t^8.983)/g1^54 - t^4.222/(g1^2*y) - (g1^4*t^6.557)/y - t^6.665/(g1^6*y) - t^6.773/(g1^16*y) + (g1^12*t^7.67)/y + (3*g1^2*t^7.778)/y + (3*t^7.886)/(g1^8*y) + (2*t^7.994)/(g1^18*y) + (2*g1^30*t^8.676)/y + (4*g1^20*t^8.784)/y + (g1^10*t^8.892)/y - (t^4.222*y)/g1^2 - g1^4*t^6.557*y - (t^6.665*y)/g1^6 - (t^6.773*y)/g1^16 + g1^12*t^7.67*y + 3*g1^2*t^7.778*y + (3*t^7.886*y)/g1^8 + (2*t^7.994*y)/g1^18 + 2*g1^30*t^8.676*y + 4*g1^20*t^8.784*y + g1^10*t^8.892*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
4962	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$	0.6565	0.8236	0.7971	[X:[1.5507], M:[0.4493, 1.1836, 0.7753, 0.8986, 0.8164, 0.8575, 1.1014, 0.7342], q:[0.7959, 0.7548], qb:[0.4699, 0.3466], phi:[0.4082]]	t^2.203 + t^2.326 + 2*t^2.449 + t^2.573 + 2*t^3.304 + t^3.674 + t^4.044 + t^4.405 + 2*t^4.529 + 4*t^4.652 + 2*t^4.775 + 5*t^4.899 + 2*t^5.022 + 2*t^5.507 + t^5.63 + 5*t^5.753 + 2*t^5.877 - 3*t^6. - t^4.225/y - t^4.225*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
2030	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6489	0.8087	0.8024	[X:[1.5766], M:[0.4234, 1.1922, 0.7883, 0.8467, 0.8078, 0.8273], q:[0.7981, 0.7786], qb:[0.4331, 0.3747], phi:[0.4039]]	t^2.365 + 2*t^2.423 + t^2.482 + t^2.54 + t^3.46 + t^3.635 + t^3.693 + t^3.81 + t^4.671 + 2*t^4.73 + t^4.788 + 5*t^4.847 + 3*t^4.905 + 2*t^4.964 + t^5.022 + t^5.08 + 3*t^5.883 - 2*t^6. - t^4.212/y - t^4.212*y	detail