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
57574	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.4383	1.6268	0.8841	[X:[1.3334], M:[0.9834], q:[0.4279, 0.4611], qb:[0.5555, 0.5557], phi:[0.3333]]	[X:[[0, 6]], M:[[-1, 5]], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	0	3*t^2.95 + t^3. + t^3.05 + 2*t^3.95 + t^4. + 2*t^4.05 + 3*t^4.95 + 3*t^5.05 + 5*t^5.9 + 4*t^5.95 + 2*t^6.05 + t^6.85 + 5*t^6.9 + 6*t^6.95 + 4*t^7. + 4*t^7.05 + t^7.1 + t^7.15 + 9*t^7.9 + 2*t^7.95 + 12*t^8. + 2*t^8.05 + 3*t^8.1 + 7*t^8.85 + 12*t^8.9 - 5*t^8.95 - t^4./y - t^5./y - (3*t^6.95)/y - t^7./y - t^7.05/y - (3*t^7.95)/y - t^8./y - t^8.05/y + (3*t^8.9)/y + t^8.95/y - t^4.*y - t^5.*y - 3*t^6.95*y - t^7.*y - t^7.05*y - 3*t^7.95*y - t^8.*y - t^8.05*y + 3*t^8.9*y + t^8.95*y	(2*g2^5*t^2.95)/g1 + (g2^23*t^2.95)/g1 + t^3./g2^9 + g1*g2^13*t^3.05 + (g2^2*t^3.95)/g1 + (g2^20*t^3.95)/g1 + g2^6*t^4. + (g1*t^4.05)/g2^8 + g1*g2^10*t^4.05 + t^4.95/(g1*g2) + (2*g2^17*t^4.95)/g1 + (g1*t^5.05)/g2^11 + 2*g1*g2^7*t^5.05 + (2*g2^10*t^5.9)/g1^2 + (2*g2^28*t^5.9)/g1^2 + (g2^46*t^5.9)/g1^2 + (2*t^5.95)/(g1*g2^4) + (2*g2^14*t^5.95)/g1 - 3*t^6. + 2*g2^18*t^6. + g2^36*t^6. + 2*g1*g2^4*t^6.05 - (g1^2*t^6.1)/g2^10 + g1^2*g2^26*t^6.1 + (g2^21*t^6.85)/g1^3 + (g2^7*t^6.9)/g1^2 + (3*g2^25*t^6.9)/g1^2 + (g2^43*t^6.9)/g1^2 + t^6.95/(g1*g2^7) + (4*g2^11*t^6.95)/g1 + (g2^29*t^6.95)/g1 - t^7./g2^21 + 3*g2^15*t^7. + 2*g2^33*t^7. + (g1*t^7.05)/g2^17 + 2*g1*g2*t^7.05 + g1*g2^19*t^7.05 - (g1^2*t^7.1)/g2^13 + g1^2*g2^5*t^7.1 + g1^2*g2^23*t^7.1 + (g1^3*t^7.15)/g2^9 + (g2^4*t^7.9)/g1^2 + (5*g2^22*t^7.9)/g1^2 + (3*g2^40*t^7.9)/g1^2 + t^7.95/(g1*g2^10) + (g2^8*t^7.95)/g1 + 6*g2^12*t^8. + 6*g2^30*t^8. + (g1*t^8.05)/g2^20 + (g1*t^8.05)/g2^2 - (g1^2*t^8.1)/g2^16 + g1^2*g2^2*t^8.1 + 3*g1^2*g2^20*t^8.1 + (2*g2^15*t^8.85)/g1^3 + (2*g2^33*t^8.85)/g1^3 + (2*g2^51*t^8.85)/g1^3 + (g2^69*t^8.85)/g1^3 + (2*g2*t^8.9)/g1^2 + (6*g2^19*t^8.9)/g1^2 + (4*g2^37*t^8.9)/g1^2 - (6*g2^5*t^8.95)/g1 - (2*g2^23*t^8.95)/g1 + (2*g2^41*t^8.95)/g1 + (g2^59*t^8.95)/g1 - t^4./(g2^3*y) - t^5./(g2^6*y) - (2*g2^2*t^6.95)/(g1*y) - (g2^20*t^6.95)/(g1*y) - t^7./(g2^12*y) - (g1*g2^10*t^7.05)/y - (2*t^7.95)/(g1*g2*y) - (g2^17*t^7.95)/(g1*y) - t^8./(g2^15*y) - (g1*g2^7*t^8.05)/y + (g2^10*t^8.9)/(g1^2*y) + (2*g2^28*t^8.9)/(g1^2*y) + t^8.95/(g1*g2^4*y) - (t^4.*y)/g2^3 - (t^5.*y)/g2^6 - (2*g2^2*t^6.95*y)/g1 - (g2^20*t^6.95*y)/g1 - (t^7.*y)/g2^12 - g1*g2^10*t^7.05*y - (2*t^7.95*y)/(g1*g2) - (g2^17*t^7.95*y)/g1 - (t^8.*y)/g2^15 - g1*g2^7*t^8.05*y + (g2^10*t^8.9*y)/g1^2 + (2*g2^28*t^8.9*y)/g1^2 + (t^8.95*y)/(g1*g2^4)

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
59410	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4388	1.631	0.8822	[X:[1.3256], M:[0.9836, 0.9883], q:[0.4215, 0.4544], qb:[0.562, 0.5387], phi:[0.3372]]	t^2.88 + 2*t^2.95 + t^2.97 + t^2.98 + t^3.89 + t^3.96 + t^3.98 + t^3.99 + t^4.06 + 2*t^4.9 + t^4.97 + 2*t^5. + t^5.07 + t^5.76 + 2*t^5.83 + t^5.85 + t^5.86 + 2*t^5.9 + 3*t^5.92 + 3*t^5.93 + t^5.94 + t^5.96 - 3*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
59368	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$	1.1244	1.2582	0.8937	[X:[1.5129], M:[0.7822], q:[0.3762, 0.8119], qb:[0.4059, 0.9446], phi:[0.2436]]	t^2.19 + 2*t^2.35 + t^3.08 + t^3.81 + t^3.96 + t^4.38 + 3*t^4.54 + 3*t^4.69 + 2*t^5.27 + 3*t^5.42 + t^5.58 - t^6. - t^3.73/y - t^4.46/y - t^5.92/y - t^3.73*y - t^4.46*y - t^5.92*y	detail
59430	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.8776	0.9301	0.9436	[X:[1.5912, 1.3868], M:[1.2264], q:[0.8858, 0.4329], qb:[0.3407, 1.1142], phi:[0.2044]]	t^2.93 + t^3.55 + t^3.68 + t^4.16 + t^4.77 + t^4.91 + t^5.74 + t^5.87 - 2*t^6. - t^3.61/y - t^4.23/y - t^3.61*y - t^4.23*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
47924	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4375	1.625	0.8846	[X:[1.3333], q:[0.4444, 0.4444], qb:[0.5556, 0.5556], phi:[0.3333]]	5*t^3. + 5*t^4. + 6*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 23/16, c: 13/8, X1: 4/3, q1: 4/9, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 1/3}