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
2916	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6254	0.8161	0.7663	[M:[0.9488, 1.1536, 1.0512, 0.8464, 0.7304, 0.8464], q:[0.7372, 0.314], qb:[0.43, 0.4164], phi:[0.5256]]	[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
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-1	2*t^2.191 + t^2.232 + 2*t^2.539 + 2*t^3.154 + t^3.461 + t^3.502 + t^3.768 + t^4.075 + t^4.116 + t^4.157 + 3*t^4.382 + 2*t^4.423 + t^4.464 + 4*t^4.73 + 2*t^4.771 + 3*t^5.078 + 4*t^5.345 + 2*t^5.386 + t^5.652 + 5*t^5.693 + t^5.734 + t^5.959 - t^6. + t^6.041 + 2*t^6.266 + 4*t^6.307 + t^6.348 + t^6.389 + 4*t^6.573 + 5*t^6.614 + 4*t^6.655 + 3*t^6.696 + 6*t^6.922 + 2*t^6.962 + 2*t^7.003 + t^7.229 + 5*t^7.27 + 4*t^7.311 + 6*t^7.536 + t^7.577 + 5*t^7.618 + t^7.659 + 2*t^7.843 + 6*t^7.884 + 3*t^7.925 + t^7.966 + 2*t^8.15 - 4*t^8.191 + 4*t^8.232 + 2*t^8.273 + t^8.314 + 3*t^8.457 + 5*t^8.498 - 2*t^8.539 + 2*t^8.58 + t^8.621 + 5*t^8.765 + 6*t^8.806 + 7*t^8.846 + 4*t^8.887 + 3*t^8.928 - t^4.577/y - t^6.768/y - t^7.116/y + t^7.382/y + (3*t^7.423)/y + (3*t^7.73)/y + (2*t^7.771)/y + t^8.038/y + t^8.078/y + (4*t^8.345)/y + (3*t^8.386)/y + (2*t^8.652)/y + (7*t^8.693)/y + t^8.734/y + t^8.959/y - t^4.577*y - t^6.768*y - t^7.116*y + t^7.382*y + 3*t^7.423*y + 3*t^7.73*y + 2*t^7.771*y + t^8.038*y + t^8.078*y + 4*t^8.345*y + 3*t^8.386*y + 2*t^8.652*y + 7*t^8.693*y + t^8.734*y + t^8.959*y	2*g1^18*t^2.191 + t^2.232/g1^20 + (2*t^2.539)/g1^12 + 2*g1^4*t^3.154 + g1^12*t^3.461 + t^3.502/g1^26 + g1^20*t^3.768 + g1^28*t^4.075 + t^4.116/g1^10 + t^4.157/g1^48 + 3*g1^36*t^4.382 + (2*t^4.423)/g1^2 + t^4.464/g1^40 + 4*g1^6*t^4.73 + (2*t^4.771)/g1^32 + (3*t^5.078)/g1^24 + 4*g1^22*t^5.345 + (2*t^5.386)/g1^16 + g1^30*t^5.652 + (5*t^5.693)/g1^8 + t^5.734/g1^46 + g1^38*t^5.959 - t^6. + t^6.041/g1^38 + 2*g1^46*t^6.266 + 4*g1^8*t^6.307 + t^6.348/g1^30 + t^6.389/g1^68 + 4*g1^54*t^6.573 + 5*g1^16*t^6.614 + (4*t^6.655)/g1^22 + (3*t^6.696)/g1^60 + 6*g1^24*t^6.922 + (2*t^6.962)/g1^14 + (2*t^7.003)/g1^52 + g1^32*t^7.229 + (5*t^7.27)/g1^6 + (4*t^7.311)/g1^44 + 6*g1^40*t^7.536 + g1^2*t^7.577 + (5*t^7.618)/g1^36 + t^7.659/g1^74 + 2*g1^48*t^7.843 + 6*g1^10*t^7.884 + (3*t^7.925)/g1^28 + t^7.966/g1^66 + 2*g1^56*t^8.15 - 4*g1^18*t^8.191 + (4*t^8.232)/g1^20 + (2*t^8.273)/g1^58 + t^8.314/g1^96 + 3*g1^64*t^8.457 + 5*g1^26*t^8.498 - (2*t^8.539)/g1^12 + (2*t^8.58)/g1^50 + t^8.621/g1^88 + 5*g1^72*t^8.765 + 6*g1^34*t^8.806 + (7*t^8.846)/g1^4 + (4*t^8.887)/g1^42 + (3*t^8.928)/g1^80 - (g1^2*t^4.577)/y - (g1^20*t^6.768)/y - t^7.116/(g1^10*y) + (g1^36*t^7.382)/y + (3*t^7.423)/(g1^2*y) + (3*g1^6*t^7.73)/y + (2*t^7.771)/(g1^32*y) + (g1^14*t^8.038)/y + t^8.078/(g1^24*y) + (4*g1^22*t^8.345)/y + (3*t^8.386)/(g1^16*y) + (2*g1^30*t^8.652)/y + (7*t^8.693)/(g1^8*y) + t^8.734/(g1^46*y) + (g1^38*t^8.959)/y - g1^2*t^4.577*y - g1^20*t^6.768*y - (t^7.116*y)/g1^10 + g1^36*t^7.382*y + (3*t^7.423*y)/g1^2 + 3*g1^6*t^7.73*y + (2*t^7.771*y)/g1^32 + g1^14*t^8.038*y + (t^8.078*y)/g1^24 + 4*g1^22*t^8.345*y + (3*t^8.386*y)/g1^16 + 2*g1^30*t^8.652*y + (7*t^8.693*y)/g1^8 + (t^8.734*y)/g1^46 + g1^38*t^8.959*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
3501	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6406	0.843	0.7599	[M:[0.9525, 1.1425, 1.0475, 0.8575, 0.7138, 0.8575, 0.8088], q:[0.7381, 0.3094], qb:[0.4531, 0.4044], phi:[0.5238]]	2*t^2.141 + t^2.287 + t^2.426 + 2*t^2.572 + 2*t^3.143 + t^3.428 + t^3.713 + t^3.998 + t^4.144 + 3*t^4.283 + t^4.29 + 2*t^4.429 + 2*t^4.568 + t^4.575 + 5*t^4.714 + t^4.853 + 2*t^4.86 + 2*t^4.999 + 3*t^5.145 + 4*t^5.284 + 2*t^5.43 + 3*t^5.569 + 3*t^5.715 + 2*t^5.854 - t^6. - t^4.571/y - t^4.571*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
1893	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6295	0.8188	0.7688	[M:[0.9716, 1.0851, 1.0284, 0.9149, 0.7478, 0.7947], q:[0.7429, 0.2855], qb:[0.4525, 0.4624], phi:[0.5142]]	t^2.214 + 2*t^2.244 + t^2.384 + t^2.745 + 2*t^3.085 + t^3.255 + t^3.586 + t^3.786 + t^4.258 + t^4.287 + t^4.317 + t^4.428 + 2*t^4.457 + 3*t^4.487 + t^4.598 + 2*t^4.628 + t^4.768 + t^4.959 + 2*t^4.988 + t^5.129 + 2*t^5.299 + 4*t^5.329 + 2*t^5.469 + t^5.489 + t^5.499 + t^5.639 + t^5.8 + 3*t^5.83 - 2*t^6. - t^4.543/y - t^4.543*y	detail