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
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]]	[X:[[0, 2]], M:[[0, -11]], 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
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$	${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$	-1	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^6.133 + t^6.202 + t^6.335 + 2*t^6.467 + 3*t^6.6 + 3*t^6.733 + 3*t^6.866 + t^6.999 + t^7.201 + 2*t^7.334 + 3*t^7.467 + 2*t^7.6 + 2*t^7.7 + t^7.733 + t^7.801 + 2*t^7.833 + t^7.934 + 2*t^7.966 - t^8.067 + 2*t^8.099 + 2*t^8.2 + t^8.269 + t^8.402 + t^8.466 + 2*t^8.535 - 2*t^8.567 + 3*t^8.668 + 2*t^8.801 + 2*t^8.833 + 3*t^8.934 + t^8.2/y^2 - t^8.801/y^2 - t^8.934/y^2 - t^3.733/y - t^4.467/y - t^5.801/y - t^5.934/y - t^6.066/y - t^6.534/y - t^6.667/y - t^6.8/y + t^7.267/y - t^7.868/y - t^8.001/y - t^8.134/y + t^8.4/y - t^8.601/y - t^3.733*y - t^4.467*y - t^5.801*y - t^5.934*y - t^6.066*y - t^6.534*y - t^6.667*y - t^6.8*y + t^7.267*y - t^7.868*y - t^8.001*y - t^8.134*y + t^8.4*y - t^8.601*y + t^8.2*y^2 - t^8.801*y^2 - t^8.934*y^2	t^2.067/g2^11 + t^2.2/g2^3 + g2^5*t^2.333 + g2^4*t^3.066 + t^3.667/g2^5 + g2^3*t^3.8 + t^4.134/g2^22 + t^4.267/g2^14 + (2*t^4.4)/g2^6 + 2*g2^2*t^4.533 + g2^10*t^4.666 + t^5.134/g2^7 + 2*g2*t^5.267 + g2^9*t^5.4 + (g1^3*t^5.633)/g2^21 + (g2^22*t^5.633)/g1^3 + t^5.734/g2^16 + (g1^3*t^5.766)/g2^13 + (g2^30*t^5.766)/g1^3 + t^5.867/g2^8 - t^6. + g2^8*t^6.133 + t^6.202/g2^33 + t^6.335/g2^25 + (2*t^6.467)/g2^17 + (3*t^6.6)/g2^9 + (3*t^6.733)/g2 + 3*g2^7*t^6.866 + g2^15*t^6.999 + t^7.201/g2^18 + (2*t^7.334)/g2^10 + (3*t^7.467)/g2^2 + 2*g2^6*t^7.6 + (g1^3*t^7.7)/g2^32 + (g2^11*t^7.7)/g1^3 + g2^14*t^7.733 + t^7.801/g2^27 + (g1^3*t^7.833)/g2^24 + (g2^19*t^7.833)/g1^3 + t^7.934/g2^19 + (g1^3*t^7.966)/g2^16 + (g2^27*t^7.966)/g1^3 - t^8.067/g2^11 + (g1^3*t^8.099)/g2^8 + (g2^35*t^8.099)/g1^3 + (2*t^8.2)/g2^3 + t^8.269/g2^44 + t^8.402/g2^36 + g2^13*t^8.466 + (2*t^8.535)/g2^28 - (g1^3*t^8.567)/g2^25 - (g2^18*t^8.567)/g1^3 + (3*t^8.668)/g2^20 + (2*t^8.801)/g2^12 + (g1^3*t^8.833)/g2^9 + (g2^34*t^8.833)/g1^3 + (3*t^8.934)/g2^4 + t^8.2/(g2^3*y^2) - t^8.801/(g2^12*y^2) - t^8.934/(g2^4*y^2) - t^3.733/(g2*y) - t^4.467/(g2^2*y) - t^5.801/(g2^12*y) - t^5.934/(g2^4*y) - (g2^4*t^6.066)/y - t^6.534/(g2^13*y) - t^6.667/(g2^5*y) - (g2^3*t^6.8)/y + t^7.267/(g2^14*y) - t^7.868/(g2^23*y) - t^8.001/(g2^15*y) - t^8.134/(g2^7*y) + (g2^9*t^8.4)/y - t^8.601/(g2^24*y) - (t^3.733*y)/g2 - (t^4.467*y)/g2^2 - (t^5.801*y)/g2^12 - (t^5.934*y)/g2^4 - g2^4*t^6.066*y - (t^6.534*y)/g2^13 - (t^6.667*y)/g2^5 - g2^3*t^6.8*y + (t^7.267*y)/g2^14 - (t^7.868*y)/g2^23 - (t^8.001*y)/g2^15 - (t^8.134*y)/g2^7 + g2^9*t^8.4*y - (t^8.601*y)/g2^24 + (t^8.2*y^2)/g2^3 - (t^8.801*y^2)/g2^12 - (t^8.934*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
58459	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.1272	1.2678	0.8891	[X:[1.5], M:[0.75], q:[0.875, 0.375], qb:[0.375, 0.875], phi:[0.25]]	3*t^2.25 + t^3. + 2*t^3.75 + 7*t^4.5 + 4*t^5.25 + 4*t^5.62 + 2*t^6. - t^3.75/y - t^4.5/y - (3*t^6.)/y - t^3.75*y - t^4.5*y - 3*t^6.*y	detail	{a: 4617/4096, c: 5193/4096, X1: 3/2, M1: 3/4, q1: 7/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/4}
58462	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{1}$	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]]	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^3.73/y - t^4.46/y - t^5.78/y - (2*t^5.93)/y - t^3.73*y - t^4.46*y - t^5.78*y - 2*t^5.93*y	detail
58457	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$	1.1237	1.2639	0.889	[X:[1.512], M:[0.6843], q:[0.7975, 0.3572], qb:[0.4226, 0.9585], phi:[0.244]]	t^2.05 + t^2.2 + t^2.34 + t^3.07 + t^3.66 + t^3.8 + t^4.11 + t^4.25 + 2*t^4.39 + 2*t^4.54 + t^4.68 + t^5.12 + 3*t^5.27 + 2*t^5.41 + t^5.71 + t^5.86 - t^3.73/y - t^4.46/y - t^5.78/y - t^5.93/y - t^3.73*y - t^4.46*y - t^5.78*y - t^5.93*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
47886	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4552	1.6417	0.8864	[X:[1.3445], M:[0.9482], q:[0.49, 0.5268], qb:[0.4916, 0.525], phi:[0.3278]]	t^2.845 + t^2.945 + t^2.95 + t^3.045 + t^3.055 + t^3.928 + t^4.028 + t^4.033 + t^4.038 + t^4.139 + t^4.911 + t^5.012 + t^5.022 + t^5.122 + t^5.504 + t^5.508 + t^5.608 + t^5.614 + t^5.689 + t^5.789 + t^5.794 + t^5.89 + t^5.895 + t^5.9 + t^5.99 + t^5.995 - 3*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y	detail