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
58462	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.1495	1.3065	0.8798	[X:[1.5122], M:[0.6828, 0.7317], q:[0.8373, 0.3984], qb:[0.3821, 0.9188], phi:[0.2439]]	[X:[[0, 2]], M:[[0, -11], [0, -3]], q:[[-1, 1], [-1, 11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.05 + 2*t^2.19 + t^2.34 + t^3.07 + t^3.66 + t^4.1 + 2*t^4.24 + 4*t^4.39 + 3*t^4.54 + t^4.68 + t^5.12 + 3*t^5.27 + t^5.42 + 2*t^5.63 + t^5.71 + 2*t^5.78 + t^5.85 - 2*t^6. + t^6.14 + 2*t^6.29 + 4*t^6.44 + 7*t^6.58 + 6*t^6.73 + 3*t^6.88 + t^7.03 + t^7.17 + 3*t^7.32 + 5*t^7.46 + 2*t^7.61 + 2*t^7.68 + t^7.75 + t^7.76 + 4*t^7.83 + t^7.9 + 4*t^7.98 - t^8.05 + 2*t^8.12 - t^8.19 + 4*t^8.49 - 2*t^8.56 + 7*t^8.63 + 9*t^8.78 + 2*t^8.85 + 6*t^8.93 + t^8.19/y^2 - t^8.78/y^2 - (2*t^8.93)/y^2 - t^3.73/y - t^4.46/y - t^5.78/y - (2*t^5.93)/y - t^6.07/y - t^6.51/y - (2*t^6.66)/y - t^6.81/y + (2*t^7.24)/y + t^7.39/y + (2*t^7.54)/y - t^7.83/y - (2*t^7.97)/y - (3*t^8.12)/y + t^8.27/y + t^8.42/y - t^8.56/y - t^8.71/y - (2*t^8.85)/y - t^3.73*y - t^4.46*y - t^5.78*y - 2*t^5.93*y - t^6.07*y - t^6.51*y - 2*t^6.66*y - t^6.81*y + 2*t^7.24*y + t^7.39*y + 2*t^7.54*y - t^7.83*y - 2*t^7.97*y - 3*t^8.12*y + t^8.27*y + t^8.42*y - t^8.56*y - t^8.71*y - 2*t^8.85*y + t^8.19*y^2 - t^8.78*y^2 - 2*t^8.93*y^2	t^2.05/g2^11 + (2*t^2.19)/g2^3 + g2^5*t^2.34 + g2^4*t^3.07 + t^3.66/g2^5 + t^4.1/g2^22 + (2*t^4.24)/g2^14 + (4*t^4.39)/g2^6 + 3*g2^2*t^4.54 + g2^10*t^4.68 + t^5.12/g2^7 + 3*g2*t^5.27 + g2^9*t^5.42 + (g1^3*t^5.63)/g2^21 + (g2^22*t^5.63)/g1^3 + t^5.71/g2^16 + (g1^3*t^5.78)/g2^13 + (g2^30*t^5.78)/g1^3 + t^5.85/g2^8 - 2*t^6. + t^6.14/g2^33 + (2*t^6.29)/g2^25 + (4*t^6.44)/g2^17 + (7*t^6.58)/g2^9 + (6*t^6.73)/g2 + 3*g2^7*t^6.88 + g2^15*t^7.03 + t^7.17/g2^18 + (3*t^7.32)/g2^10 + (5*t^7.46)/g2^2 + 2*g2^6*t^7.61 + (g1^3*t^7.68)/g2^32 + (g2^11*t^7.68)/g1^3 + t^7.75/g2^27 + g2^14*t^7.76 + (2*g1^3*t^7.83)/g2^24 + (2*g2^19*t^7.83)/g1^3 + t^7.9/g2^19 + (2*g1^3*t^7.98)/g2^16 + (2*g2^27*t^7.98)/g1^3 - t^8.05/g2^11 + (g1^3*t^8.12)/g2^8 + (g2^35*t^8.12)/g1^3 + t^8.19/g2^44 - (2*t^8.19)/g2^3 + (2*t^8.34)/g2^36 - 2*g2^5*t^8.34 + (4*t^8.49)/g2^28 - (g1^3*t^8.56)/g2^25 - (g2^18*t^8.56)/g1^3 + (7*t^8.63)/g2^20 + (9*t^8.78)/g2^12 + (g1^3*t^8.85)/g2^9 + (g2^34*t^8.85)/g1^3 + (6*t^8.93)/g2^4 + t^8.19/(g2^3*y^2) - t^8.78/(g2^12*y^2) - (2*t^8.93)/(g2^4*y^2) - t^3.73/(g2*y) - t^4.46/(g2^2*y) - t^5.78/(g2^12*y) - (2*t^5.93)/(g2^4*y) - (g2^4*t^6.07)/y - t^6.51/(g2^13*y) - (2*t^6.66)/(g2^5*y) - (g2^3*t^6.81)/y + (2*t^7.24)/(g2^14*y) + t^7.39/(g2^6*y) + (2*g2^2*t^7.54)/y - t^7.83/(g2^23*y) - (2*t^7.97)/(g2^15*y) - (3*t^8.12)/(g2^7*y) + (g2*t^8.27)/y + (g2^9*t^8.42)/y - t^8.56/(g2^24*y) - t^8.71/(g2^16*y) - (2*t^8.85)/(g2^8*y) - (t^3.73*y)/g2 - (t^4.46*y)/g2^2 - (t^5.78*y)/g2^12 - (2*t^5.93*y)/g2^4 - g2^4*t^6.07*y - (t^6.51*y)/g2^13 - (2*t^6.66*y)/g2^5 - g2^3*t^6.81*y + (2*t^7.24*y)/g2^14 + (t^7.39*y)/g2^6 + 2*g2^2*t^7.54*y - (t^7.83*y)/g2^23 - (2*t^7.97*y)/g2^15 - (3*t^8.12*y)/g2^7 + g2*t^8.27*y + g2^9*t^8.42*y - (t^8.56*y)/g2^24 - (t^8.71*y)/g2^16 - (2*t^8.85*y)/g2^8 + (t^8.19*y^2)/g2^3 - (t^8.78*y^2)/g2^12 - (2*t^8.93*y^2)/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
61171	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	1.1462	1.3025	0.88	[X:[1.5], M:[0.75, 0.75], q:[0.875, 0.375], qb:[0.375, 0.875], phi:[0.25]]	4*t^2.25 + t^3. + t^3.75 + 11*t^4.5 + 5*t^5.25 + 4*t^5.62 - t^3.75/y - t^4.5/y - (4*t^6.)/y - t^3.75*y - t^4.5*y - 4*t^6.*y	detail	{a: 4695/4096, c: 5335/4096, X1: 3/2, M1: 3/4, M2: 3/4, q1: 7/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/4}

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
57375	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	1.1298	1.2701	0.8896	[X:[1.5111], M:[0.6891], q:[0.8408, 0.3962], qb:[0.3815, 0.9147], phi:[0.2445]]	t^2.067 + t^2.2 + t^2.333 + t^3.066 + t^3.667 + t^3.8 + t^4.134 + t^4.267 + 2*t^4.4 + 2*t^4.533 + t^4.666 + t^5.134 + 2*t^5.267 + t^5.4 + 2*t^5.633 + t^5.734 + 2*t^5.766 + t^5.867 - t^6. - t^3.733/y - t^4.467/y - t^5.801/y - t^5.934/y - t^3.733*y - t^4.467*y - t^5.801*y - t^5.934*y	detail