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
43	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$	0.6076	0.7195	0.8446	[q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]]	[q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	-2	t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. + t^6.441 + 7*t^6.632 - 6*t^7.074 + 21*t^7.706 - t^8.147 + t^8.338 + t^8.588 - 3*t^8.779 - t^4.074/y - t^6.221/y + (2*t^7.926)/y - t^8.368/y - t^4.074*y - t^6.221*y + 2*t^7.926*y - t^8.368*y	t^2.147/(g1^4*g2^4) + g1^6*g2^6*t^2.779 + (g1^10*t^3.853)/g2^2 + 2*g1^7*g2*t^3.853 + g1^4*g2^4*t^3.853 + 2*g1*g2^7*t^3.853 + (g2^10*t^3.853)/g1^2 + t^4.294/(g1^8*g2^8) + 2*g1^2*g2^2*t^4.926 + g1^12*g2^12*t^5.559 - 2*t^6. + t^6.441/(g1^12*g2^12) + g1^16*g2^4*t^6.632 + 2*g1^13*g2^7*t^6.632 + g1^10*g2^10*t^6.632 + 2*g1^7*g2^13*t^6.632 + g1^4*g2^16*t^6.632 - (g1^4*t^7.074)/g2^8 - (2*g1*t^7.074)/g2^5 - (2*g2*t^7.074)/g1^5 - (g2^4*t^7.074)/g1^8 + (g1^20*t^7.706)/g2^4 + (2*g1^17*t^7.706)/g2 + 3*g1^14*g2^2*t^7.706 + 2*g1^11*g2^5*t^7.706 + 5*g1^8*g2^8*t^7.706 + 2*g1^5*g2^11*t^7.706 + 3*g1^2*g2^14*t^7.706 + (2*g2^17*t^7.706)/g1 + (g2^20*t^7.706)/g1^4 - t^8.147/(g1^4*g2^4) + g1^18*g2^18*t^8.338 + t^8.588/(g1^16*g2^16) - 3*g1^6*g2^6*t^8.779 - t^4.074/(g1^2*g2^2*y) - t^6.221/(g1^6*g2^6*y) + (2*g1^2*g2^2*t^7.926)/y - t^8.368/(g1^10*g2^10*y) - (t^4.074*y)/(g1^2*g2^2) - (t^6.221*y)/(g1^6*g2^6) + 2*g1^2*g2^2*t^7.926*y - (t^8.368*y)/(g1^10*g2^10)

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
57	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6279	0.7568	0.8297	[M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]]	2*t^2.125 + t^2.813 + 6*t^3.875 + 3*t^4.249 + 3*t^4.938 + t^5.626 + 3*t^6. - t^4.062/y - t^4.062*y	detail
63	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$	0.6281	0.7582	0.8284	[M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]]	t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y	detail
59	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.5876	0.6839	0.8592	[M:[1.274], q:[0.8185, 0.8185], qb:[0.4555, 0.4555], phi:[0.363]]	t^2.733 + 8*t^3.822 + t^4.911 + t^5.466 - 9*t^6. - t^4.089/y - t^4.089*y	detail
60	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	0.628	0.7573	0.8293	[M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]]	t^2.11 + t^2.127 + t^2.81 + t^3.84 + 2*t^3.857 + t^3.873 + t^3.89 + t^3.906 + t^4.221 + t^4.237 + t^4.254 + t^4.92 + 2*t^4.937 + t^5.62 + t^5.951 + 2*t^5.967 + t^5.984 - t^6. - t^4.063/y - t^4.063*y	detail
66	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$	0.4527	0.4986	0.9078	[X:[1.5042], q:[0.8761, 0.8761], qb:[0.8761, 0.3803], phi:[0.2479]]	t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y	detail
62	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	0.3451	0.3488	0.9895	[X:[1.6976], q:[0.9244, 0.9244], qb:[1.0756, 0.4708], phi:[0.1512]]	t^3.279 + t^4.186 - t^6. - t^3.454/y - t^3.454*y	detail
56	${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$	0.5833	0.6667	0.875	[X:[1.3333], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]]	t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y	detail	{a: 7/12, c: 2/3, X1: 4/3, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, phi1: 1/3}

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
37	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$	0.6732	0.8001	0.8414	[q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]]	t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. - t^4.219/y - t^4.219*y	detail