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
61050	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	1.1946	1.4249	0.8383	[X:[1.5939], M:[1.1878, 0.7816, 0.8122], q:[0.2242, 0.5385], qb:[0.6186, 0.1819], phi:[0.4061]]	[X:[[0, 1]], M:[[0, 2], [0, 3], [0, -2]], q:[[-1, -1], [-1, 13]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{2}\phi_{1}^{3}$	-3	t^2.16 + t^2.34 + 2*t^2.44 + t^2.53 + t^3.38 + t^3.47 + t^3.66 + t^3.75 + t^4.17 + t^4.18 + t^4.32 + t^4.51 + 3*t^4.6 + 2*t^4.69 + 3*t^4.78 + 4*t^4.87 + 3*t^4.97 + t^5.12 + t^5.29 + t^5.38 + t^5.4 + t^5.48 + t^5.54 + t^5.63 + t^5.67 + t^5.72 + 4*t^5.82 + 4*t^5.91 - 3*t^6. + 3*t^6.09 + 3*t^6.18 + t^6.33 + 2*t^6.34 - t^6.43 + t^6.48 + t^6.51 + t^6.52 + 3*t^6.6 + 3*t^6.62 + t^6.67 + t^6.69 + 4*t^6.76 - t^6.79 + 3*t^6.85 + 3*t^6.94 + 8*t^7.03 + 7*t^7.13 + 3*t^7.22 + t^7.28 + 7*t^7.31 + 6*t^7.4 + t^7.45 + t^7.47 + t^7.49 + 2*t^7.55 + 4*t^7.56 + t^7.64 + t^7.7 + t^7.73 - t^7.74 + t^7.79 + 4*t^7.82 + 3*t^7.83 + t^7.89 + 3*t^7.91 + t^7.93 + 5*t^7.98 - t^8. - t^8.02 + 6*t^8.07 + 2*t^8.11 - t^8.16 + t^8.2 + 10*t^8.25 + t^8.33 + 6*t^8.34 + t^8.36 - 6*t^8.44 + t^8.49 + 4*t^8.5 + t^8.53 - t^8.59 + 6*t^8.62 + t^8.65 + 2*t^8.67 + t^8.69 + t^8.71 + 5*t^8.76 + 5*t^8.78 - t^8.8 + t^8.83 + t^8.86 + 4*t^8.92 + t^8.95 - t^4.22/y - t^5.44/y - t^6.38/y - t^6.56/y - t^6.66/y - t^6.75/y + t^7.51/y + t^7.6/y + (2*t^7.78)/y + t^7.97/y + t^8.63/y + (2*t^8.82)/y + (3*t^8.91)/y - t^4.22*y - t^5.44*y - t^6.38*y - t^6.56*y - t^6.66*y - t^6.75*y + t^7.51*y + t^7.6*y + 2*t^7.78*y + t^7.97*y + t^8.63*y + 2*t^8.82*y + 3*t^8.91*y	g2^13*t^2.16 + g2^3*t^2.34 + (2*t^2.44)/g2^2 + t^2.53/g2^7 + g2^12*t^3.38 + g2^7*t^3.47 + t^3.66/g2^3 + t^3.75/g2^8 + (g1^3*t^4.17)/g2^7 + (g2^10*t^4.18)/g1^3 + g2^26*t^4.32 + g2^16*t^4.51 + 3*g2^11*t^4.6 + 2*g2^6*t^4.69 + 3*g2*t^4.78 + (4*t^4.87)/g2^4 + (3*t^4.97)/g2^9 + (g2^24*t^5.12)/g1^3 + (g1^3*t^5.29)/g2^3 + (g1^3*t^5.38)/g2^8 + (g2^9*t^5.4)/g1^3 + (g1^3*t^5.48)/g2^13 + g2^25*t^5.54 + g2^20*t^5.63 + t^5.67/(g1^3*g2^6) + g2^15*t^5.72 + 4*g2^10*t^5.82 + 4*g2^5*t^5.91 - 3*t^6. + (3*t^6.09)/g2^5 + (3*t^6.18)/g2^10 + g1^3*g2^6*t^6.33 + (2*g2^23*t^6.34)/g1^3 - (g2^18*t^6.43)/g1^3 + g2^39*t^6.48 + (g1^3*t^6.51)/g2^4 + (g2^13*t^6.52)/g1^3 + (3*g1^3*t^6.6)/g2^9 + (3*g2^8*t^6.62)/g1^3 + g2^29*t^6.67 + (g1^3*t^6.69)/g2^14 + 4*g2^24*t^6.76 - (g1^3*t^6.79)/g2^19 + 3*g2^19*t^6.85 + 3*g2^14*t^6.94 + 8*g2^9*t^7.03 + 7*g2^4*t^7.13 + (3*t^7.22)/g2 + (g2^37*t^7.28)/g1^3 + (7*t^7.31)/g2^6 + (6*t^7.4)/g2^11 + g1^3*g2^10*t^7.45 + (g2^27*t^7.47)/g1^3 + t^7.49/g2^16 + 2*g1^3*g2^5*t^7.55 + (4*g2^22*t^7.56)/g1^3 + g1^3*t^7.64 + g2^38*t^7.7 + (g1^3*t^7.73)/g2^5 - (g2^12*t^7.74)/g1^3 + g2^33*t^7.79 + (4*g1^3*t^7.82)/g2^10 + (3*g2^7*t^7.83)/g1^3 + g2^28*t^7.89 + (3*g1^3*t^7.91)/g2^15 + (g2^2*t^7.93)/g1^3 + 5*g2^23*t^7.98 - (g1^3*t^8.)/g2^20 - t^8.02/(g1^3*g2^3) + 6*g2^18*t^8.07 + (2*t^8.11)/(g1^3*g2^8) - g2^13*t^8.16 + t^8.2/(g1^3*g2^13) + 10*g2^8*t^8.25 + (g1^6*t^8.33)/g2^14 + 6*g2^3*t^8.34 + (g2^20*t^8.36)/g1^6 - (6*t^8.44)/g2^2 + g1^3*g2^19*t^8.49 + (4*g2^36*t^8.5)/g1^3 + t^8.53/g2^7 - (g2^31*t^8.59)/g1^3 + (6*t^8.62)/g2^12 + g2^52*t^8.65 + 2*g1^3*g2^9*t^8.67 + (g2^26*t^8.69)/g1^3 + t^8.71/g2^17 + 5*g1^3*g2^4*t^8.76 + (5*g2^21*t^8.78)/g1^3 - t^8.8/g2^22 + g2^42*t^8.83 + (g1^3*t^8.86)/g2 + 4*g2^37*t^8.92 + (g1^3*t^8.95)/g2^6 - t^4.22/(g2*y) - t^5.44/(g2^2*y) - (g2^12*t^6.38)/y - (g2^2*t^6.56)/y - t^6.66/(g2^3*y) - t^6.75/(g2^8*y) + (g2^16*t^7.51)/y + (g2^11*t^7.6)/y + (2*g2*t^7.78)/y + t^7.97/(g2^9*y) + (g2^20*t^8.63)/y + (2*g2^10*t^8.82)/y + (3*g2^5*t^8.91)/y - (t^4.22*y)/g2 - (t^5.44*y)/g2^2 - g2^12*t^6.38*y - g2^2*t^6.56*y - (t^6.66*y)/g2^3 - (t^6.75*y)/g2^8 + g2^16*t^7.51*y + g2^11*t^7.6*y + 2*g2*t^7.78*y + (t^7.97*y)/g2^9 + g2^20*t^8.63*y + 2*g2^10*t^8.82*y + 3*g2^5*t^8.91*y

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

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
58880	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{2}$	1.1789	1.3978	0.8433	[X:[1.5935], M:[1.187, 0.7806], q:[0.2257, 0.535], qb:[0.6196, 0.1808], phi:[0.4065]]	t^2.15 + t^2.34 + t^2.44 + t^2.54 + t^3.37 + t^3.46 + t^3.56 + t^3.66 + t^3.76 + t^4.16 + t^4.18 + t^4.29 + t^4.49 + 2*t^4.59 + 2*t^4.68 + 2*t^4.78 + 2*t^4.88 + 2*t^4.97 + t^5.11 + t^5.29 + t^5.38 + t^5.4 + t^5.48 + t^5.51 + t^5.61 + t^5.69 + 2*t^5.71 + 3*t^5.81 + 4*t^5.9 - 2*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*y	detail