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
2796	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6309	0.822	0.7676	[M:[0.9715, 1.0856, 0.9144, 0.7714, 0.7714], q:[0.7429, 0.2857], qb:[0.4287, 0.4857], phi:[0.5143]]	[M:[[4], [-12], [12], [-3], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$	${}M_{3}\phi_{1}q_{2}^{2}$	-1	t^2.143 + 3*t^2.314 + t^2.743 + t^2.914 + t^3.086 + t^3.257 + t^3.515 + t^3.857 + t^4.115 + 2*t^4.286 + 4*t^4.457 + 6*t^4.628 + t^4.886 + 4*t^5.057 + 4*t^5.229 + 3*t^5.4 + t^5.487 + 2*t^5.571 + 2*t^5.658 + 3*t^5.829 - t^6. + 2*t^6.171 + 2*t^6.258 + t^6.342 + 4*t^6.429 + t^6.513 + 5*t^6.6 + 7*t^6.771 + t^6.858 + 8*t^6.943 + 3*t^7.029 + 5*t^7.201 + 8*t^7.372 + 6*t^7.543 + 2*t^7.63 + 5*t^7.714 + 5*t^7.801 + 3*t^7.885 + 4*t^7.972 + 2*t^8.143 + 2*t^8.23 - 5*t^8.314 + 4*t^8.401 + 2*t^8.485 + 8*t^8.572 + 2*t^8.656 + 6*t^8.743 + 2*t^8.828 + 3*t^8.914 - t^4.543/y - (2*t^6.857)/y + (3*t^7.457)/y + (3*t^7.628)/y + t^7.886/y + (4*t^8.057)/y + (6*t^8.229)/y + (4*t^8.4)/y + (3*t^8.571)/y + (2*t^8.658)/y + (4*t^8.829)/y - t^4.543*y - 2*t^6.857*y + 3*t^7.457*y + 3*t^7.628*y + t^7.886*y + 4*t^8.057*y + 6*t^8.229*y + 4*t^8.4*y + 3*t^8.571*y + 2*t^8.658*y + 4*t^8.829*y	g1^5*t^2.143 + (3*t^2.314)/g1^3 + g1^12*t^2.743 + g1^4*t^2.914 + t^3.086/g1^4 + t^3.257/g1^12 + g1^11*t^3.515 + t^3.857/g1^5 + g1^18*t^4.115 + 2*g1^10*t^4.286 + 4*g1^2*t^4.457 + (6*t^4.628)/g1^6 + g1^17*t^4.886 + 4*g1^9*t^5.057 + 4*g1*t^5.229 + (3*t^5.4)/g1^7 + g1^24*t^5.487 + (2*t^5.571)/g1^15 + 2*g1^16*t^5.658 + 3*g1^8*t^5.829 - t^6. + (2*t^6.171)/g1^8 + 2*g1^23*t^6.258 + t^6.342/g1^16 + 4*g1^15*t^6.429 + t^6.513/g1^24 + 5*g1^7*t^6.6 + (7*t^6.771)/g1 + g1^30*t^6.858 + (8*t^6.943)/g1^9 + 3*g1^22*t^7.029 + 5*g1^14*t^7.201 + 8*g1^6*t^7.372 + (6*t^7.543)/g1^2 + 2*g1^29*t^7.63 + (5*t^7.714)/g1^10 + 5*g1^21*t^7.801 + (3*t^7.885)/g1^18 + 4*g1^13*t^7.972 + 2*g1^5*t^8.143 + 2*g1^36*t^8.23 - (5*t^8.314)/g1^3 + 4*g1^28*t^8.401 + (2*t^8.485)/g1^11 + 8*g1^20*t^8.572 + (2*t^8.656)/g1^19 + 6*g1^12*t^8.743 + (2*t^8.828)/g1^27 + 3*g1^4*t^8.914 - t^4.543/(g1^2*y) - (2*t^6.857)/(g1^5*y) + (3*g1^2*t^7.457)/y + (3*t^7.628)/(g1^6*y) + (g1^17*t^7.886)/y + (4*g1^9*t^8.057)/y + (6*g1*t^8.229)/y + (4*t^8.4)/(g1^7*y) + (3*t^8.571)/(g1^15*y) + (2*g1^16*t^8.658)/y + (4*g1^8*t^8.829)/y - (t^4.543*y)/g1^2 - (2*t^6.857*y)/g1^5 + 3*g1^2*t^7.457*y + (3*t^7.628*y)/g1^6 + g1^17*t^7.886*y + 4*g1^9*t^8.057*y + 6*g1*t^8.229*y + (4*t^8.4*y)/g1^7 + (3*t^8.571*y)/g1^15 + 2*g1^16*t^8.658*y + 4*g1^8*t^8.829*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
3318	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.5697	0.7498	0.7597	[M:[1.0588, 0.8235, 1.1765, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]]	3*t^2.118 + 2*t^2.471 + t^2.824 + t^3.176 + 2*t^3.529 + 7*t^4.235 + 6*t^4.588 + 6*t^4.941 + 6*t^5.294 + 6*t^5.647 - t^4.412/y - t^4.412*y	detail	{a: 44781/78608, c: 29471/39304, M1: 18/17, M2: 14/17, M3: 20/17, M4: 12/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17}

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
1786	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6129	0.79	0.7758	[M:[0.9693, 1.092, 0.908, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]]	t^2.135 + 2*t^2.319 + t^2.724 + t^2.908 + t^3.092 + t^3.276 + t^3.497 + t^3.681 + t^3.865 + t^4.086 + 2*t^4.27 + 3*t^4.454 + 3*t^4.638 + t^4.859 + 3*t^5.043 + 3*t^5.227 + 2*t^5.411 + t^5.448 + t^5.595 + 2*t^5.632 + 3*t^5.816 + t^6. - t^4.546/y - t^4.546*y	detail