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
3054	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6436	0.8457	0.761	[M:[1.0, 1.0122, 0.9756, 0.7408, 0.7531, 1.0244, 0.7286], q:[0.7531, 0.2469], qb:[0.5183, 0.5061], phi:[0.4939]]	[M:[[0], [4], [-8], [-3], [1], [8], [-7]], q:[[1], [-1]], qb:[[6], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{4}$	${}$	-1	t^2.186 + t^2.223 + 2*t^2.259 + t^2.296 + t^2.963 + t^3. + t^3.037 + t^3.073 + t^3.777 + t^4.372 + t^4.408 + 3*t^4.445 + 3*t^4.482 + 5*t^4.518 + 3*t^4.555 + 2*t^4.592 + t^5.149 + t^5.186 + 3*t^5.223 + 5*t^5.259 + 4*t^5.296 + 3*t^5.332 + t^5.369 + t^5.927 - t^6. + 2*t^6.037 + 2*t^6.073 + t^6.11 + t^6.147 + t^6.558 + t^6.594 + 3*t^6.631 + 3*t^6.668 + 5*t^6.704 + 6*t^6.741 + 8*t^6.777 + 6*t^6.814 + 5*t^6.851 + 2*t^6.887 + t^7.335 + t^7.372 + 3*t^7.408 + 4*t^7.445 + 6*t^7.482 + 8*t^7.518 + 10*t^7.555 + 8*t^7.592 + 4*t^7.628 + 2*t^7.665 + t^8.113 - 2*t^8.186 - 2*t^8.223 - 4*t^8.259 + t^8.296 + 4*t^8.332 + 5*t^8.369 + 3*t^8.406 + t^8.442 + t^8.744 + t^8.78 + 3*t^8.817 + 3*t^8.853 + 7*t^8.89 + 5*t^8.927 + 5*t^8.963 - t^4.482/y - t^6.668/y - t^6.704/y - t^6.741/y + t^7.408/y + (2*t^7.445)/y + (3*t^7.482)/y + (2*t^7.518)/y + (2*t^7.555)/y + t^8.149/y + (2*t^8.186)/y + (5*t^8.223)/y + (6*t^8.259)/y + (5*t^8.296)/y + (3*t^8.332)/y + t^8.369/y - t^8.853/y - t^8.89/y - (2*t^8.927)/y + t^8.963/y - t^4.482*y - t^6.668*y - t^6.704*y - t^6.741*y + t^7.408*y + 2*t^7.445*y + 3*t^7.482*y + 2*t^7.518*y + 2*t^7.555*y + t^8.149*y + 2*t^8.186*y + 5*t^8.223*y + 6*t^8.259*y + 5*t^8.296*y + 3*t^8.332*y + t^8.369*y - t^8.853*y - t^8.89*y - 2*t^8.927*y + t^8.963*y	t^2.186/g1^7 + t^2.223/g1^3 + 2*g1*t^2.259 + g1^5*t^2.296 + t^2.963/g1^4 + t^3. + g1^4*t^3.037 + g1^8*t^3.073 + g1^3*t^3.777 + t^4.372/g1^14 + t^4.408/g1^10 + (3*t^4.445)/g1^6 + (3*t^4.482)/g1^2 + 5*g1^2*t^4.518 + 3*g1^6*t^4.555 + 2*g1^10*t^4.592 + t^5.149/g1^11 + t^5.186/g1^7 + (3*t^5.223)/g1^3 + 5*g1*t^5.259 + 4*g1^5*t^5.296 + 3*g1^9*t^5.332 + g1^13*t^5.369 + t^5.927/g1^8 - t^6. + 2*g1^4*t^6.037 + 2*g1^8*t^6.073 + g1^12*t^6.11 + g1^16*t^6.147 + t^6.558/g1^21 + t^6.594/g1^17 + (3*t^6.631)/g1^13 + (3*t^6.668)/g1^9 + (5*t^6.704)/g1^5 + (6*t^6.741)/g1 + 8*g1^3*t^6.777 + 6*g1^7*t^6.814 + 5*g1^11*t^6.851 + 2*g1^15*t^6.887 + t^7.335/g1^18 + t^7.372/g1^14 + (3*t^7.408)/g1^10 + (4*t^7.445)/g1^6 + (6*t^7.482)/g1^2 + 8*g1^2*t^7.518 + 10*g1^6*t^7.555 + 8*g1^10*t^7.592 + 4*g1^14*t^7.628 + 2*g1^18*t^7.665 + t^8.113/g1^15 - (2*t^8.186)/g1^7 - (2*t^8.223)/g1^3 - 4*g1*t^8.259 + g1^5*t^8.296 + 4*g1^9*t^8.332 + 5*g1^13*t^8.369 + 3*g1^17*t^8.406 + g1^21*t^8.442 + t^8.744/g1^28 + t^8.78/g1^24 + (3*t^8.817)/g1^20 + (3*t^8.853)/g1^16 + (7*t^8.89)/g1^12 + (5*t^8.927)/g1^8 + (5*t^8.963)/g1^4 - t^4.482/(g1^2*y) - t^6.668/(g1^9*y) - t^6.704/(g1^5*y) - t^6.741/(g1*y) + t^7.408/(g1^10*y) + (2*t^7.445)/(g1^6*y) + (3*t^7.482)/(g1^2*y) + (2*g1^2*t^7.518)/y + (2*g1^6*t^7.555)/y + t^8.149/(g1^11*y) + (2*t^8.186)/(g1^7*y) + (5*t^8.223)/(g1^3*y) + (6*g1*t^8.259)/y + (5*g1^5*t^8.296)/y + (3*g1^9*t^8.332)/y + (g1^13*t^8.369)/y - t^8.853/(g1^16*y) - t^8.89/(g1^12*y) - (2*t^8.927)/(g1^8*y) + t^8.963/(g1^4*y) - (t^4.482*y)/g1^2 - (t^6.668*y)/g1^9 - (t^6.704*y)/g1^5 - (t^6.741*y)/g1 + (t^7.408*y)/g1^10 + (2*t^7.445*y)/g1^6 + (3*t^7.482*y)/g1^2 + 2*g1^2*t^7.518*y + 2*g1^6*t^7.555*y + (t^8.149*y)/g1^11 + (2*t^8.186*y)/g1^7 + (5*t^8.223*y)/g1^3 + 6*g1*t^8.259*y + 5*g1^5*t^8.296*y + 3*g1^9*t^8.332*y + g1^13*t^8.369*y - (t^8.853*y)/g1^16 - (t^8.89*y)/g1^12 - (2*t^8.927*y)/g1^8 + (t^8.963*y)/g1^4

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
4914	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$	0.6242	0.8107	0.7699	[M:[1.0, 1.0078, 0.9844, 0.7441, 0.752, 1.0156, 0.7363, 1.2559], q:[0.752, 0.248], qb:[0.5117, 0.5039], phi:[0.4961]]	t^2.209 + 2*t^2.256 + t^2.279 + t^2.977 + t^3. + t^3.023 + t^3.047 + 2*t^3.768 + t^4.418 + 2*t^4.465 + t^4.488 + 4*t^4.512 + 3*t^4.535 + 2*t^4.559 + t^5.185 + 2*t^5.232 + 4*t^5.256 + 3*t^5.279 + 3*t^5.303 + t^5.326 + t^5.953 + t^5.977 - 2*t^6. - t^4.488/y - t^4.488*y	detail
4915	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.6431	0.8465	0.7597	[M:[1.0, 0.998, 1.004, 0.7515, 0.7495, 0.996, 0.7535, 0.998], q:[0.7495, 0.2505], qb:[0.497, 0.499], phi:[0.501]]	t^2.243 + 2*t^2.249 + t^2.254 + t^2.26 + t^2.988 + 2*t^2.994 + t^3. + t^3.746 + 2*t^4.485 + 3*t^4.491 + 5*t^4.497 + 3*t^4.503 + 3*t^4.509 + t^4.515 + t^4.521 + t^5.231 + 4*t^5.237 + 6*t^5.243 + 5*t^5.249 + 2*t^5.254 + t^5.976 + 2*t^5.982 + 4*t^5.988 + 2*t^5.994 - 2*t^6. - t^4.503/y - t^4.503*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
2009	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6436	0.8459	0.7608	[M:[1.0, 1.0114, 0.9772, 0.7396, 0.7547, 1.0228, 0.7282], q:[0.7529, 0.2471], qb:[0.519, 0.5038], phi:[0.4943]]	t^2.185 + t^2.219 + t^2.253 + t^2.264 + t^2.298 + t^2.966 + t^3. + t^3.034 + t^3.068 + t^3.77 + t^4.369 + t^4.403 + 2*t^4.437 + t^4.449 + t^4.472 + 2*t^4.483 + 2*t^4.506 + 2*t^4.517 + t^4.528 + 2*t^4.551 + t^4.563 + 2*t^4.597 + t^5.15 + t^5.185 + 3*t^5.219 + 3*t^5.253 + 2*t^5.264 + 2*t^5.287 + 2*t^5.298 + t^5.321 + 2*t^5.333 + t^5.367 + t^5.932 + t^5.989 - 2*t^6. - t^4.483/y - t^4.483*y	detail