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
2909	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6351	0.8325	0.7629	[M:[0.9472, 1.1585, 0.9472, 0.8415, 0.7377, 0.8415], q:[0.7368, 0.316], qb:[0.4198, 0.4217], phi:[0.5264]]	[M:[[-4], [12], [-4], [-12], [18], [-12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$	${}M_{4}\phi_{1}q_{2}^{2}$	-1	t^2.208 + 2*t^2.213 + 2*t^2.525 + 2*t^2.842 + t^3.47 + t^3.475 + t^3.792 + t^4.098 + t^4.104 + t^4.109 + t^4.415 + 2*t^4.421 + 3*t^4.426 + 2*t^4.732 + 4*t^4.738 + 5*t^5.049 + 4*t^5.055 + 4*t^5.366 + t^5.678 + 4*t^5.683 + t^5.689 + t^5.994 - t^6. + t^6.006 + t^6.306 + 3*t^6.311 + 3*t^6.317 + 2*t^6.322 + 3*t^6.623 + 2*t^6.628 + 5*t^6.634 + 4*t^6.639 + 4*t^6.94 + 4*t^6.945 + 6*t^6.951 + 4*t^7.257 + 7*t^7.262 + 5*t^7.268 + t^7.568 + 7*t^7.574 + 5*t^7.579 + t^7.885 + 8*t^7.891 + 4*t^7.896 + 2*t^7.902 + t^8.197 + 2*t^8.202 + 4*t^8.208 - 4*t^8.213 + 2*t^8.219 + t^8.514 + 4*t^8.519 + t^8.525 + t^8.53 + 3*t^8.536 + 3*t^8.831 + 4*t^8.836 - 3*t^8.842 + 6*t^8.847 + 5*t^8.853 - t^4.579/y - t^6.792/y - t^7.104/y + t^7.421/y + t^7.426/y + (2*t^7.732)/y + (5*t^7.738)/y + (3*t^8.049)/y + (5*t^8.055)/y + (5*t^8.366)/y + t^8.678/y + (4*t^8.683)/y + (2*t^8.689)/y + (2*t^8.994)/y - t^4.579*y - t^6.792*y - t^7.104*y + t^7.421*y + t^7.426*y + 2*t^7.732*y + 5*t^7.738*y + 3*t^8.049*y + 5*t^8.055*y + 5*t^8.366*y + t^8.678*y + 4*t^8.683*y + 2*t^8.689*y + 2*t^8.994*y	t^2.208/g1^20 + 2*g1^18*t^2.213 + (2*t^2.525)/g1^12 + (2*t^2.842)/g1^4 + t^3.47/g1^26 + g1^12*t^3.475 + g1^20*t^3.792 + t^4.098/g1^48 + t^4.104/g1^10 + g1^28*t^4.109 + t^4.415/g1^40 + (2*t^4.421)/g1^2 + 3*g1^36*t^4.426 + (2*t^4.732)/g1^32 + 4*g1^6*t^4.738 + (5*t^5.049)/g1^24 + 4*g1^14*t^5.055 + (4*t^5.366)/g1^16 + t^5.678/g1^46 + (4*t^5.683)/g1^8 + g1^30*t^5.689 + t^5.994/g1^38 - t^6. + g1^38*t^6.006 + t^6.306/g1^68 + (3*t^6.311)/g1^30 + 3*g1^8*t^6.317 + 2*g1^46*t^6.322 + (3*t^6.623)/g1^60 + (2*t^6.628)/g1^22 + 5*g1^16*t^6.634 + 4*g1^54*t^6.639 + (4*t^6.94)/g1^52 + (4*t^6.945)/g1^14 + 6*g1^24*t^6.951 + (4*t^7.257)/g1^44 + (7*t^7.262)/g1^6 + 5*g1^32*t^7.268 + t^7.568/g1^74 + (7*t^7.574)/g1^36 + 5*g1^2*t^7.579 + t^7.885/g1^66 + (8*t^7.891)/g1^28 + 4*g1^10*t^7.896 + 2*g1^48*t^7.902 + t^8.197/g1^96 + (2*t^8.202)/g1^58 + (4*t^8.208)/g1^20 - 4*g1^18*t^8.213 + 2*g1^56*t^8.219 + t^8.514/g1^88 + (4*t^8.519)/g1^50 + t^8.525/g1^12 + g1^26*t^8.53 + 3*g1^64*t^8.536 + (3*t^8.831)/g1^80 + (4*t^8.836)/g1^42 - (3*t^8.842)/g1^4 + 6*g1^34*t^8.847 + 5*g1^72*t^8.853 - (g1^2*t^4.579)/y - (g1^20*t^6.792)/y - t^7.104/(g1^10*y) + t^7.421/(g1^2*y) + (g1^36*t^7.426)/y + (2*t^7.732)/(g1^32*y) + (5*g1^6*t^7.738)/y + (3*t^8.049)/(g1^24*y) + (5*g1^14*t^8.055)/y + (5*t^8.366)/(g1^16*y) + t^8.678/(g1^46*y) + (4*t^8.683)/(g1^8*y) + (2*g1^30*t^8.689)/y + (2*t^8.994)/(g1^38*y) - g1^2*t^4.579*y - g1^20*t^6.792*y - (t^7.104*y)/g1^10 + (t^7.421*y)/g1^2 + g1^36*t^7.426*y + (2*t^7.732*y)/g1^32 + 5*g1^6*t^7.738*y + (3*t^8.049*y)/g1^24 + 5*g1^14*t^8.055*y + (5*t^8.366*y)/g1^16 + (t^8.678*y)/g1^46 + (4*t^8.683*y)/g1^8 + 2*g1^30*t^8.689*y + (2*t^8.994*y)/g1^38

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
3497	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6496	0.8576	0.7574	[M:[0.951, 1.147, 0.951, 0.853, 0.7205, 0.853, 0.8184], q:[0.7378, 0.3112], qb:[0.4438, 0.4092], phi:[0.5245]]	2*t^2.161 + t^2.265 + t^2.455 + 2*t^2.559 + 2*t^2.853 + t^3.441 + t^3.735 + t^4.029 + t^4.133 + t^4.236 + 3*t^4.323 + 2*t^4.427 + t^4.53 + 2*t^4.617 + 5*t^4.72 + 2*t^4.824 + t^4.911 + 6*t^5.014 + 5*t^5.118 + 2*t^5.308 + 4*t^5.412 + t^5.602 + 2*t^5.706 + 2*t^5.896 - t^6. - t^4.573/y - t^4.573*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
1887	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.636	0.8314	0.765	[M:[0.9582, 1.1254, 0.9582, 0.8746, 0.7463, 0.8164], q:[0.7395, 0.3023], qb:[0.4305, 0.4441], phi:[0.5209]]	t^2.198 + 2*t^2.239 + t^2.449 + t^2.624 + 2*t^2.875 + t^3.376 + t^3.51 + t^3.802 + t^4.146 + t^4.186 + t^4.227 + t^4.396 + 2*t^4.437 + 3*t^4.478 + t^4.647 + 2*t^4.688 + t^4.822 + 2*t^4.863 + t^4.898 + 3*t^5.073 + 4*t^5.114 + t^5.247 + 2*t^5.324 + 2*t^5.498 + t^5.615 + t^5.708 + 4*t^5.749 + t^5.825 - 2*t^6. - t^4.563/y - t^4.563*y	detail