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
60194	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$	1.4001	1.594	0.8783	[X:[1.3468], M:[0.7964, 1.0201], q:[0.3602, 0.6868], qb:[0.4765, 0.5168], phi:[0.3266]]	[X:[[0, 4]], M:[[0, -11], [0, 6]], q:[[-1, 13], [-1, 11]], qb:[[1, -12], [1, 0]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$	${}$	-2	t^2.39 + t^2.51 + t^2.63 + t^3.06 + 2*t^3.49 + t^3.61 + t^4.04 + 2*t^4.47 + 2*t^4.59 + t^4.78 + t^4.9 + t^5.02 + t^5.14 + t^5.2 + t^5.26 + t^5.39 + 2*t^5.45 + t^5.51 + 2*t^5.57 + t^5.69 + t^5.88 - 2*t^6. + 3*t^6.12 + 3*t^6.18 + t^6.24 + t^6.37 + t^6.43 + t^6.49 + 3*t^6.55 + 2*t^6.67 + t^6.86 - t^6.92 + 2*t^6.98 + 6*t^7.1 + 2*t^7.16 + t^7.17 + 3*t^7.22 + t^7.23 + t^7.29 + t^7.35 + t^7.41 + t^7.47 + 4*t^7.53 + 3*t^7.65 - t^7.71 + t^7.77 + t^7.83 + t^7.84 + t^7.89 - t^7.9 + 4*t^7.96 + t^8.02 + 8*t^8.08 + 2*t^8.14 + 4*t^8.2 + t^8.26 + t^8.27 + t^8.32 - 2*t^8.39 + t^8.45 - t^8.51 + t^8.57 - t^8.63 + 2*t^8.69 + 3*t^8.75 - t^8.76 + 4*t^8.81 + t^8.82 + t^8.87 + 7*t^8.94 + t^8.94/y^2 - t^3.98/y - t^4.96/y - t^6.37/y - t^6.49/y - t^6.61/y - t^7.04/y - t^7.35/y - (2*t^7.47)/y - t^7.59/y + t^7.9/y + t^8.14/y - t^8.45/y + t^8.69/y - t^8.76/y + t^8.88/y - t^3.98*y - t^4.96*y - t^6.37*y - t^6.49*y - t^6.61*y - t^7.04*y - t^7.35*y - 2*t^7.47*y - t^7.59*y + t^7.9*y + t^8.14*y - t^8.45*y + t^8.69*y - t^8.76*y + t^8.88*y + t^8.94*y^2	t^2.39/g2^11 + g2*t^2.51 + g2^13*t^2.63 + g2^6*t^3.06 + (2*t^3.49)/g2 + g2^11*t^3.61 + g2^4*t^4.04 + (2*t^4.47)/g2^3 + 2*g2^9*t^4.59 + t^4.78/g2^22 + t^4.9/g2^10 + g2^2*t^5.02 + g2^14*t^5.14 + (g2^35*t^5.2)/g1^3 + g2^26*t^5.26 + (g1^3*t^5.39)/g2^26 + (2*t^5.45)/g2^5 + (g1^3*t^5.51)/g2^14 + 2*g2^7*t^5.57 + g2^19*t^5.69 + t^5.88/g2^12 - 2*t^6. + 3*g2^12*t^6.12 + (3*g2^33*t^6.18)/g1^3 + g2^24*t^6.24 + (g1^3*t^6.37)/g2^28 + t^6.43/g2^7 + (g1^3*t^6.49)/g2^16 + 3*g2^5*t^6.55 + 2*g2^17*t^6.67 + t^6.86/g2^14 - (g1^3*t^6.92)/g2^23 + (2*t^6.98)/g2^2 + 6*g2^10*t^7.1 + (2*g2^31*t^7.16)/g1^3 + t^7.17/g2^33 + 3*g2^22*t^7.22 + (g1^3*t^7.23)/g2^42 + t^7.29/g2^21 + (g1^3*t^7.35)/g2^30 + t^7.41/g2^9 + (g1^3*t^7.47)/g2^18 + 4*g2^3*t^7.53 + (g1^3*t^7.59)/g2^6 - (g2^24*t^7.59)/g1^3 + 3*g2^15*t^7.65 - (g2^36*t^7.71)/g1^3 + g2^27*t^7.77 + (g2^48*t^7.83)/g1^3 + t^7.84/g2^16 + g2^39*t^7.89 - (g1^3*t^7.9)/g2^25 + (4*t^7.96)/g2^4 + (g1^3*t^8.02)/g2^13 + 8*g2^8*t^8.08 + (g1^3*t^8.14)/g2 + (g2^29*t^8.14)/g1^3 + 4*g2^20*t^8.2 + (g2^41*t^8.26)/g1^3 + t^8.27/g2^23 + g2^32*t^8.32 - (2*t^8.39)/g2^11 + (g1^3*t^8.45)/g2^20 - g2*t^8.51 + (g1^3*t^8.57)/g2^8 - g2^13*t^8.63 + (2*g2^34*t^8.69)/g1^3 + 3*g2^25*t^8.75 - (g1^3*t^8.76)/g2^39 + (4*g2^46*t^8.81)/g1^3 + t^8.82/g2^18 + g2^37*t^8.87 + (7*t^8.94)/g2^6 + t^8.94/(g2^6*y^2) - t^3.98/(g2^2*y) - t^4.96/(g2^4*y) - t^6.37/(g2^13*y) - t^6.49/(g2*y) - (g2^11*t^6.61)/y - (g2^4*t^7.04)/y - t^7.35/(g2^15*y) - (2*t^7.47)/(g2^3*y) - (g2^9*t^7.59)/y + t^7.9/(g2^10*y) + (g2^14*t^8.14)/y - t^8.45/(g2^5*y) + (g2^19*t^8.69)/y - t^8.76/(g2^24*y) + t^8.88/(g2^12*y) - (t^3.98*y)/g2^2 - (t^4.96*y)/g2^4 - (t^6.37*y)/g2^13 - (t^6.49*y)/g2 - g2^11*t^6.61*y - g2^4*t^7.04*y - (t^7.35*y)/g2^15 - (2*t^7.47*y)/g2^3 - g2^9*t^7.59*y + (t^7.9*y)/g2^10 + g2^14*t^8.14*y - (t^8.45*y)/g2^5 + g2^19*t^8.69*y - (t^8.76*y)/g2^24 + (t^8.88*y)/g2^12 + (t^8.94*y^2)/g2^6

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
61084	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.3951	1.5826	0.8815	[X:[1.3684], M:[0.7368, 1.0526], q:[0.3801, 0.6959], qb:[0.462, 0.5673], phi:[0.3158]]	t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 3*t^4.74 + t^5.05 + t^5.32 + 3*t^5.37 + t^5.42 + 4*t^5.68 + t^5.74 - t^6. - t^3.95/y - t^4.89/y - t^3.95*y - t^4.89*y	detail	{a: 153099/109744, c: 43419/27436, X1: 26/19, M1: 14/19, M2: 20/19, q1: 65/171, q2: 119/171, qb1: 79/171, qb2: 97/171, phi1: 6/19}

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
57731	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4024	1.5963	0.8785	[X:[1.3532], M:[0.7786], q:[0.3662, 0.6896], qb:[0.4721, 0.5317], phi:[0.3234]]	t^2.34 + t^2.51 + t^2.69 + t^2.91 + 2*t^3.49 + t^3.66 + t^4.06 + 2*t^4.46 + 2*t^4.63 + t^4.67 + t^4.85 + t^5.03 + t^5.21 + t^5.24 + t^5.25 + t^5.39 + t^5.4 + 2*t^5.43 + t^5.58 + 2*t^5.6 + 2*t^5.82 - 2*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y	detail