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
47950	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.3239	1.4959	0.885	[X:[1.3746], q:[0.354, 0.7285], qb:[0.646, 0.3952], phi:[0.3127]]	[X:[[0, 2]], q:[[-1, 4], [-1, 6]], qb:[[1, -4], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$	${}\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1	t^2.247 + t^2.814 + t^3. + t^3.186 + t^3.371 + t^3.938 + 3*t^4.124 + t^4.309 + t^4.495 + 2*t^5.062 + 3*t^5.247 + t^5.433 + t^5.619 + t^5.629 + t^6. + 4*t^6.186 + 7*t^6.371 + 2*t^6.557 + 2*t^6.742 - t^6.753 + t^6.938 + 3*t^7.124 + 6*t^7.309 + 7*t^7.495 + 2*t^7.68 - t^7.691 + t^7.866 + 7*t^8.247 + 9*t^8.433 + t^8.443 + 10*t^8.619 + 2*t^8.804 + 2*t^8.99 + t^8.814/y^2 - t^3.938/y - t^4.876/y - t^6.186/y - t^6.753/y - t^6.938/y - t^7.124/y - t^7.309/y - t^7.691/y - t^7.876/y - t^8.062/y + t^8.619/y + t^8.814/y - t^3.938*y - t^4.876*y - t^6.186*y - t^6.753*y - t^6.938*y - t^7.124*y - t^7.309*y - t^7.691*y - t^7.876*y - t^8.062*y + t^8.619*y + t^8.814*y + t^8.814*y^2	g2^4*t^2.247 + t^2.814/g2^3 + t^3. + g2^3*t^3.186 + g2^6*t^3.371 + t^3.938/g2 + 3*g2^2*t^4.124 + g2^5*t^4.309 + g2^8*t^4.495 + 2*g2*t^5.062 + (g1^3*t^5.247)/g2^5 + g2^4*t^5.247 + (g2^13*t^5.247)/g1^3 + g2^7*t^5.433 + g2^10*t^5.619 + t^5.629/g2^6 - t^6. + (g1^3*t^6.)/g2^9 + (g2^9*t^6.)/g1^3 + (g1^3*t^6.186)/g2^6 + 2*g2^3*t^6.186 + (g2^12*t^6.186)/g1^3 + (g1^3*t^6.371)/g2^3 + 5*g2^6*t^6.371 + (g2^15*t^6.371)/g1^3 + 2*g2^9*t^6.557 + 2*g2^12*t^6.742 - t^6.753/g2^4 + t^6.938/g2 + 3*g2^2*t^7.124 + 6*g2^5*t^7.309 + (g1^3*t^7.495)/g2 + 5*g2^8*t^7.495 + (g2^17*t^7.495)/g1^3 + 2*g2^11*t^7.68 - t^7.691/g2^5 + g2^14*t^7.866 - (g1^3*t^7.876)/g2^11 + (2*t^7.876)/g2^2 - (g2^7*t^7.876)/g1^3 - (g1^3*t^8.062)/g2^8 + 2*g2*t^8.062 - (g2^10*t^8.062)/g1^3 + (g1^3*t^8.247)/g2^5 + 5*g2^4*t^8.247 + (g2^13*t^8.247)/g1^3 + (2*g1^3*t^8.433)/g2^2 + 5*g2^7*t^8.433 + (2*g2^16*t^8.433)/g1^3 + t^8.443/g2^9 + 2*g1^3*g2*t^8.619 + 6*g2^10*t^8.619 + (2*g2^19*t^8.619)/g1^3 + 2*g2^13*t^8.804 + 2*g2^16*t^8.99 + t^8.814/(g2^3*y^2) - t^3.938/(g2*y) - t^4.876/(g2^2*y) - (g2^3*t^6.186)/y - t^6.753/(g2^4*y) - t^6.938/(g2*y) - (g2^2*t^7.124)/y - (g2^5*t^7.309)/y - t^7.691/(g2^5*y) - t^7.876/(g2^2*y) - (g2*t^8.062)/y + (g2^10*t^8.619)/y + t^8.814/(g2^3*y) - (t^3.938*y)/g2 - (t^4.876*y)/g2^2 - g2^3*t^6.186*y - (t^6.753*y)/g2^4 - (t^6.938*y)/g2 - g2^2*t^7.124*y - g2^5*t^7.309*y - (t^7.691*y)/g2^5 - (t^7.876*y)/g2^2 - g2*t^8.062*y + g2^10*t^8.619*y + (t^8.814*y)/g2^3 + (t^8.814*y^2)/g2^3

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
57727	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$	1.3446	1.5364	0.8752	[X:[1.3741], M:[0.6871], q:[0.3537, 0.7279], qb:[0.6463, 0.3946], phi:[0.3129]]	t^2.06 + t^2.24 + t^2.82 + t^3. + t^3.18 + t^3.37 + 4*t^4.12 + 2*t^4.31 + t^4.49 + t^4.88 + 3*t^5.06 + 4*t^5.24 + 2*t^5.43 + t^5.61 + t^5.63 + t^6. - t^3.94/y - t^4.88/y - t^6./y - t^3.94*y - t^4.88*y - t^6.*y	detail
57726	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$	1.3059	1.4577	0.8959	[X:[1.4286], M:[], q:[0.381, 0.8095], qb:[0.619, 0.4762], phi:[0.2857]]	2*t^2.57 + t^3. + t^3.43 + 2*t^3.86 + 3*t^4.29 + t^4.71 + 4*t^5.14 + 3*t^5.57 + 2*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y	detail	{a: 7167/5488, c: 500/343, X1: 10/7, q1: 8/21, q2: 17/21, qb1: 13/21, qb2: 10/21, phi1: 2/7}
57724	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	1.041	1.1035	0.9434	[X:[1.6, 1.4], M:[], q:[0.4667, 1.0667], qb:[0.5333, 0.7333], phi:[0.2]]	t^3. + 2*t^3.6 + 2*t^4.2 + 2*t^4.8 - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y	detail	{a: 1041/1000, c: 2207/2000, X1: 8/5, X2: 7/5, q1: 7/15, q2: 16/15, qb1: 8/15, qb2: 11/15, phi1: 1/5}
57725	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.3	1.4599	0.8905	[X:[1.407], M:[], q:[0.3082, 0.7152], qb:[0.6918, 0.5058], phi:[0.2965]]	t^2.44 + t^2.67 + t^3. + t^3.33 + t^3.66 + t^3.89 + 3*t^4.22 + t^4.55 + 2*t^4.88 + 2*t^5.11 + t^5.34 + 2*t^5.44 + 2*t^5.77 - t^3.89/y - t^4.78/y - t^3.89*y - t^4.78*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
47873	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$	1.4741	1.6841	0.8753	[q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]]	t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y	detail