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
50756	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6654	0.8413	0.7909	[M:[1.1857, 0.8143, 0.8143, 0.7667, 0.7428, 0.8381], q:[0.3833, 0.431], qb:[0.8024, 0.8024], phi:[0.3952]]	[M:[[-6], [6], [6], [-14], [-24], [16]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$	${}M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$	1	t^2.229 + t^2.3 + t^2.371 + 2*t^2.443 + t^2.514 + t^3.557 + t^3.629 + t^3.7 + t^4.457 + t^4.528 + 2*t^4.6 + 3*t^4.671 + 4*t^4.743 + 4*t^4.814 + 4*t^4.886 + 2*t^4.957 + t^5.029 + t^5.786 + t^5.857 + t^5.929 + t^6. + 2*t^6.071 + 2*t^6.143 + t^6.214 + t^6.686 + t^6.757 + 2*t^6.828 + 4*t^6.9 + 5*t^6.971 + 6*t^7.043 + 7*t^7.114 + 6*t^7.186 + 6*t^7.257 + 6*t^7.329 + 4*t^7.4 + 2*t^7.472 + t^7.543 + t^8.014 + t^8.086 + t^8.157 - t^8.3 - t^8.371 - t^8.443 + 2*t^8.586 + 2*t^8.657 + t^8.729 + t^8.914 + t^8.985 - t^4.186/y - t^6.414/y - t^6.486/y - t^6.557/y - t^6.629/y - t^6.7/y + t^7.528/y + t^7.6/y + (4*t^7.671)/y + (4*t^7.743)/y + (4*t^7.814)/y + (3*t^7.886)/y + (3*t^7.957)/y - t^8.643/y - t^8.714/y - t^8.786/y - t^4.186*y - t^6.414*y - t^6.486*y - t^6.557*y - t^6.629*y - t^6.7*y + t^7.528*y + t^7.6*y + 4*t^7.671*y + 4*t^7.743*y + 4*t^7.814*y + 3*t^7.886*y + 3*t^7.957*y - t^8.643*y - t^8.714*y - t^8.786*y	t^2.229/g1^24 + t^2.3/g1^14 + t^2.371/g1^4 + 2*g1^6*t^2.443 + g1^16*t^2.514 + t^3.557/g1^6 + g1^4*t^3.629 + g1^14*t^3.7 + t^4.457/g1^48 + t^4.528/g1^38 + (2*t^4.6)/g1^28 + (3*t^4.671)/g1^18 + (4*t^4.743)/g1^8 + 4*g1^2*t^4.814 + 4*g1^12*t^4.886 + 2*g1^22*t^4.957 + g1^32*t^5.029 + t^5.786/g1^30 + t^5.857/g1^20 + t^5.929/g1^10 + t^6. + 2*g1^10*t^6.071 + 2*g1^20*t^6.143 + g1^30*t^6.214 + t^6.686/g1^72 + t^6.757/g1^62 + (2*t^6.828)/g1^52 + (4*t^6.9)/g1^42 + (5*t^6.971)/g1^32 + (6*t^7.043)/g1^22 + (7*t^7.114)/g1^12 + (6*t^7.186)/g1^2 + 6*g1^8*t^7.257 + 6*g1^18*t^7.329 + 4*g1^28*t^7.4 + 2*g1^38*t^7.472 + g1^48*t^7.543 + t^8.014/g1^54 + t^8.086/g1^44 + t^8.157/g1^34 - t^8.3/g1^14 - t^8.371/g1^4 - g1^6*t^8.443 + 2*g1^26*t^8.586 + 2*g1^36*t^8.657 + g1^46*t^8.729 + t^8.914/g1^96 + t^8.985/g1^86 - t^4.186/(g1^2*y) - t^6.414/(g1^26*y) - t^6.486/(g1^16*y) - t^6.557/(g1^6*y) - (g1^4*t^6.629)/y - (g1^14*t^6.7)/y + t^7.528/(g1^38*y) + t^7.6/(g1^28*y) + (4*t^7.671)/(g1^18*y) + (4*t^7.743)/(g1^8*y) + (4*g1^2*t^7.814)/y + (3*g1^12*t^7.886)/y + (3*g1^22*t^7.957)/y - t^8.643/(g1^50*y) - t^8.714/(g1^40*y) - t^8.786/(g1^30*y) - (t^4.186*y)/g1^2 - (t^6.414*y)/g1^26 - (t^6.486*y)/g1^16 - (t^6.557*y)/g1^6 - g1^4*t^6.629*y - g1^14*t^6.7*y + (t^7.528*y)/g1^38 + (t^7.6*y)/g1^28 + (4*t^7.671*y)/g1^18 + (4*t^7.743*y)/g1^8 + 4*g1^2*t^7.814*y + 3*g1^12*t^7.886*y + 3*g1^22*t^7.957*y - (t^8.643*y)/g1^50 - (t^8.714*y)/g1^40 - (t^8.786*y)/g1^30

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
56046	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{7}$	0.6811	0.8686	0.7841	[M:[1.1884, 0.8116, 0.8116, 0.773, 0.7537, 0.8309, 0.8116], q:[0.3865, 0.4251], qb:[0.8019, 0.8019], phi:[0.3961]]	t^2.261 + t^2.319 + t^2.377 + 3*t^2.435 + t^2.493 + t^3.623 + t^3.681 + t^4.522 + t^4.58 + 2*t^4.638 + 4*t^4.696 + 5*t^4.754 + 5*t^4.812 + 7*t^4.869 + 3*t^4.927 + t^4.985 - t^6. - t^4.188/y - t^4.188*y	detail
56047	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$	0.6825	0.8716	0.783	[M:[1.1841, 0.8159, 0.8159, 0.7629, 0.7365, 0.8423, 0.7894], q:[0.3815, 0.4344], qb:[0.8026, 0.8026], phi:[0.3947]]	t^2.209 + t^2.289 + 2*t^2.368 + 2*t^2.448 + t^2.527 + t^3.552 + t^3.711 + t^4.419 + t^4.498 + 3*t^4.578 + 4*t^4.657 + 6*t^4.736 + 6*t^4.816 + 5*t^4.895 + 2*t^4.975 + t^5.054 + t^5.762 + t^5.921 - t^4.184/y - t^4.184*y	detail
56045	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.6483	0.8111	0.7993	[M:[1.1873, 0.8127, 0.8127, 0.7704, 0.7493, 0.8338, 1.2084], q:[0.3852, 0.4275], qb:[0.8021, 0.8021], phi:[0.3958]]	t^2.248 + t^2.311 + 2*t^2.438 + t^2.501 + t^3.562 + 2*t^3.625 + t^3.689 + t^4.496 + t^4.559 + t^4.623 + 2*t^4.686 + 3*t^4.749 + 2*t^4.813 + 3*t^4.876 + 2*t^4.939 + t^5.003 + t^5.81 + 2*t^5.873 + t^5.937 - t^4.187/y - t^4.187*y	detail
56048	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	0.6839	0.8753	0.7814	[M:[1.1814, 0.8186, 0.8186, 0.7566, 0.7256, 0.8496, 0.7566], q:[0.3783, 0.4403], qb:[0.8031, 0.8031], phi:[0.3938]]	t^2.177 + 2*t^2.27 + t^2.363 + 2*t^2.456 + t^2.549 + t^3.544 + t^3.637 + t^4.354 + 2*t^4.447 + 4*t^4.54 + 4*t^4.633 + 6*t^4.726 + 5*t^4.819 + 4*t^4.912 + 2*t^5.005 + t^5.098 + t^5.721 + 2*t^5.814 + t^5.907 - t^4.181/y - t^4.181*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
47088	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6724	0.8509	0.7902	[M:[1.1435, 0.7153, 0.8565, 0.8094, 0.7153, 0.8094], q:[0.4047, 0.4518], qb:[0.88, 0.7388], phi:[0.3812]]	2*t^2.146 + t^2.287 + 2*t^2.428 + t^2.569 + t^3.431 + t^3.713 + t^3.995 + 3*t^4.292 + 2*t^4.433 + 5*t^4.574 + 4*t^4.715 + 5*t^4.856 + 2*t^4.998 + t^5.139 + 2*t^5.576 + 2*t^5.859 - t^6. - t^4.144/y - t^4.144*y	detail