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
1909	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6992	0.8783	0.796	[M:[0.6856, 1.1048, 1.1048, 0.6856, 0.7904], q:[0.7762, 0.5382], qb:[0.4618, 0.4334], phi:[0.4476]]	[M:[[-12], [4], [4], [-12], [-8]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	${}$	-2	2*t^2.057 + t^2.371 + t^2.915 + t^3. + 2*t^3.314 + t^3.714 + t^4.028 + 4*t^4.113 + t^4.258 + t^4.343 + 2*t^4.428 + t^4.572 + t^4.742 + 2*t^4.972 + 2*t^5.057 + t^5.286 + 5*t^5.371 + t^5.686 + t^5.771 + t^5.83 - 2*t^6. + 2*t^6.085 + 6*t^6.17 + t^6.229 + 2*t^6.314 + 2*t^6.399 + 4*t^6.484 + 5*t^6.629 + t^6.714 + 2*t^6.799 + 4*t^7.028 + 4*t^7.113 + t^7.173 - t^7.258 + 2*t^7.343 + 9*t^7.428 + t^7.487 + t^7.572 + 3*t^7.742 + 2*t^7.827 + 2*t^7.887 - t^7.972 - 3*t^8.057 + 3*t^8.142 + 9*t^8.227 + t^8.286 + t^8.371 + 4*t^8.456 + 6*t^8.541 + 8*t^8.686 + t^8.745 + 2*t^8.771 + t^8.83 + 4*t^8.856 - 2*t^8.915 - t^4.343/y - (2*t^6.399)/y - t^6.714/y + t^7.028/y + t^7.113/y + (2*t^7.428)/y - t^7.657/y + (3*t^7.972)/y + (2*t^8.057)/y + (3*t^8.286)/y + (5*t^8.371)/y - (3*t^8.456)/y + (2*t^8.686)/y + t^8.915/y - t^4.343*y - 2*t^6.399*y - t^6.714*y + t^7.028*y + t^7.113*y + 2*t^7.428*y - t^7.657*y + 3*t^7.972*y + 2*t^8.057*y + 3*t^8.286*y + 5*t^8.371*y - 3*t^8.456*y + 2*t^8.686*y + t^8.915*y	(2*t^2.057)/g1^12 + t^2.371/g1^8 + g1^18*t^2.915 + t^3. + 2*g1^4*t^3.314 + t^3.714/g1^10 + t^4.028/g1^6 + (4*t^4.113)/g1^24 + g1^16*t^4.258 + t^4.343/g1^2 + (2*t^4.428)/g1^20 + g1^20*t^4.572 + t^4.742/g1^16 + 2*g1^6*t^4.972 + (2*t^5.057)/g1^12 + g1^10*t^5.286 + (5*t^5.371)/g1^8 + t^5.686/g1^4 + t^5.771/g1^22 + g1^36*t^5.83 - 2*t^6. + (2*t^6.085)/g1^18 + (6*t^6.17)/g1^36 + g1^22*t^6.229 + 2*g1^4*t^6.314 + (2*t^6.399)/g1^14 + (4*t^6.484)/g1^32 + 5*g1^8*t^6.629 + t^6.714/g1^10 + (2*t^6.799)/g1^28 + (4*t^7.028)/g1^6 + (4*t^7.113)/g1^24 + g1^34*t^7.173 - g1^16*t^7.258 + (2*t^7.343)/g1^2 + (9*t^7.428)/g1^20 + g1^38*t^7.487 + g1^20*t^7.572 + (3*t^7.742)/g1^16 + (2*t^7.827)/g1^34 + 2*g1^24*t^7.887 - g1^6*t^7.972 - (3*t^8.057)/g1^12 + (3*t^8.142)/g1^30 + (9*t^8.227)/g1^48 + g1^10*t^8.286 + t^8.371/g1^8 + (4*t^8.456)/g1^26 + (6*t^8.541)/g1^44 + (8*t^8.686)/g1^4 + g1^54*t^8.745 + (2*t^8.771)/g1^22 + g1^36*t^8.83 + (4*t^8.856)/g1^40 - 2*g1^18*t^8.915 - t^4.343/(g1^2*y) - (2*t^6.399)/(g1^14*y) - t^6.714/(g1^10*y) + t^7.028/(g1^6*y) + t^7.113/(g1^24*y) + (2*t^7.428)/(g1^20*y) - (g1^2*t^7.657)/y + (3*g1^6*t^7.972)/y + (2*t^8.057)/(g1^12*y) + (3*g1^10*t^8.286)/y + (5*t^8.371)/(g1^8*y) - (3*t^8.456)/(g1^26*y) + (2*t^8.686)/(g1^4*y) + (g1^18*t^8.915)/y - (t^4.343*y)/g1^2 - (2*t^6.399*y)/g1^14 - (t^6.714*y)/g1^10 + (t^7.028*y)/g1^6 + (t^7.113*y)/g1^24 + (2*t^7.428*y)/g1^20 - g1^2*t^7.657*y + 3*g1^6*t^7.972*y + (2*t^8.057*y)/g1^12 + 3*g1^10*t^8.286*y + (5*t^8.371*y)/g1^8 - (3*t^8.456*y)/g1^26 + (2*t^8.686*y)/g1^4 + g1^18*t^8.915*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
2941	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6951	0.8712	0.7978	[M:[0.7273, 1.0909, 1.0909, 0.7273, 0.8182], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]]	2*t^2.182 + t^2.455 + t^2.727 + t^3. + 2*t^3.273 + t^3.818 + 2*t^4.091 + 6*t^4.364 + 2*t^4.636 + 3*t^4.909 + 3*t^5.182 + 6*t^5.455 + t^5.727 - t^4.364/y - t^4.364*y	detail	{a: 7401/10648, c: 18553/21296, M1: 8/11, M2: 12/11, M3: 12/11, M4: 8/11, M5: 9/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11}

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
554	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.6822	0.8481	0.8045	[M:[0.6938, 1.1021, 1.1021, 0.6938], q:[0.7755, 0.5307], qb:[0.4693, 0.4286], phi:[0.449]]	2*t^2.081 + t^2.878 + t^3. + 2*t^3.306 + t^3.612 + t^3.735 + t^4.041 + 4*t^4.163 + t^4.225 + t^4.347 + t^4.531 + 2*t^4.959 + 2*t^5.081 + 4*t^5.388 + t^5.694 + t^5.756 + t^5.816 - 2*t^6. - t^4.347/y - t^4.347*y	detail