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
1219	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.667	0.8452	0.7893	[M:[0.8186, 0.7565, 1.1814, 0.8497, 0.7876, 0.7254], q:[0.8031, 0.8031], qb:[0.3783, 0.4404], phi:[0.3938]]	[M:[[6], [-14], [-6], [16], [-4], [-24]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$	${}M_{2}q_{1}\tilde{q}_{2}$	0	t^2.176 + t^2.27 + 2*t^2.363 + t^2.456 + t^2.549 + 2*t^3.544 + t^3.73 + t^4.353 + t^4.446 + 3*t^4.539 + 3*t^4.632 + 5*t^4.725 + 4*t^4.819 + 3*t^4.912 + t^5.005 + t^5.098 + 2*t^5.72 + t^5.814 + 3*t^5.907 + 2*t^6.093 + t^6.28 + t^6.529 + t^6.622 + 3*t^6.715 + 4*t^6.809 + 7*t^6.902 + 7*t^6.995 + 11*t^7.088 + 5*t^7.181 + 5*t^7.275 + 2*t^7.368 + 3*t^7.461 + t^7.554 + t^7.647 + 2*t^7.897 + t^7.99 + 4*t^8.083 + 2*t^8.27 - 2*t^8.363 - t^8.456 - 3*t^8.549 + t^8.642 + t^8.705 + t^8.798 + t^8.829 + 3*t^8.892 + 4*t^8.985 - t^4.181/y - t^6.358/y - t^6.451/y - (2*t^6.544)/y - t^6.73/y + t^7.446/y + (2*t^7.539)/y + (4*t^7.632)/y + (3*t^7.725)/y + (5*t^7.819)/y + (3*t^7.912)/y + (2*t^8.005)/y - t^8.534/y - t^8.627/y - t^8.72/y + t^8.907/y - t^4.181*y - t^6.358*y - t^6.451*y - 2*t^6.544*y - t^6.73*y + t^7.446*y + 2*t^7.539*y + 4*t^7.632*y + 3*t^7.725*y + 5*t^7.819*y + 3*t^7.912*y + 2*t^8.005*y - t^8.534*y - t^8.627*y - t^8.72*y + t^8.907*y	t^2.176/g1^24 + t^2.27/g1^14 + (2*t^2.363)/g1^4 + g1^6*t^2.456 + g1^16*t^2.549 + (2*t^3.544)/g1^6 + g1^14*t^3.73 + t^4.353/g1^48 + t^4.446/g1^38 + (3*t^4.539)/g1^28 + (3*t^4.632)/g1^18 + (5*t^4.725)/g1^8 + 4*g1^2*t^4.819 + 3*g1^12*t^4.912 + g1^22*t^5.005 + g1^32*t^5.098 + (2*t^5.72)/g1^30 + t^5.814/g1^20 + (3*t^5.907)/g1^10 + 2*g1^10*t^6.093 + g1^30*t^6.28 + t^6.529/g1^72 + t^6.622/g1^62 + (3*t^6.715)/g1^52 + (4*t^6.809)/g1^42 + (7*t^6.902)/g1^32 + (7*t^6.995)/g1^22 + (11*t^7.088)/g1^12 + (5*t^7.181)/g1^2 + 5*g1^8*t^7.275 + 2*g1^18*t^7.368 + 3*g1^28*t^7.461 + g1^38*t^7.554 + g1^48*t^7.647 + (2*t^7.897)/g1^54 + t^7.99/g1^44 + (4*t^8.083)/g1^34 + (2*t^8.27)/g1^14 - (2*t^8.363)/g1^4 - g1^6*t^8.456 - 3*g1^16*t^8.549 + g1^26*t^8.642 + t^8.705/g1^96 + t^8.798/g1^86 + g1^46*t^8.829 + (3*t^8.892)/g1^76 + (4*t^8.985)/g1^66 - t^4.181/(g1^2*y) - t^6.358/(g1^26*y) - t^6.451/(g1^16*y) - (2*t^6.544)/(g1^6*y) - (g1^14*t^6.73)/y + t^7.446/(g1^38*y) + (2*t^7.539)/(g1^28*y) + (4*t^7.632)/(g1^18*y) + (3*t^7.725)/(g1^8*y) + (5*g1^2*t^7.819)/y + (3*g1^12*t^7.912)/y + (2*g1^22*t^8.005)/y - t^8.534/(g1^50*y) - t^8.627/(g1^40*y) - t^8.72/(g1^30*y) + t^8.907/(g1^10*y) - (t^4.181*y)/g1^2 - (t^6.358*y)/g1^26 - (t^6.451*y)/g1^16 - (2*t^6.544*y)/g1^6 - g1^14*t^6.73*y + (t^7.446*y)/g1^38 + (2*t^7.539*y)/g1^28 + (4*t^7.632*y)/g1^18 + (3*t^7.725*y)/g1^8 + 5*g1^2*t^7.819*y + 3*g1^12*t^7.912*y + 2*g1^22*t^8.005*y - (t^8.534*y)/g1^50 - (t^8.627*y)/g1^40 - (t^8.72*y)/g1^30 + (t^8.907*y)/g1^10

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
2268	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$	0.6825	0.8716	0.783	[M:[0.8159, 0.7629, 1.1841, 0.8423, 0.7894, 0.7365, 0.8159], q:[0.8026, 0.8026], qb:[0.3815, 0.4344], 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
2269	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.686	0.8806	0.7791	[M:[0.8225, 0.7474, 1.1775, 0.8601, 0.785, 0.7098, 0.7474], q:[0.8038, 0.8038], qb:[0.3737, 0.4488], phi:[0.3925]]	t^2.129 + 2*t^2.242 + 2*t^2.355 + t^2.468 + t^2.58 + 2*t^3.532 + t^4.259 + 2*t^4.372 + 5*t^4.484 + 5*t^4.597 + 6*t^4.71 + 5*t^4.823 + 3*t^4.935 + t^5.048 + t^5.161 + 2*t^5.662 + 3*t^5.775 + 2*t^5.887 - t^6. - t^4.177/y - t^4.177*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
742	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6476	0.8091	0.8003	[M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]]	t^2.321 + 2*t^2.377 + t^2.434 + t^2.49 + 2*t^3.566 + t^3.679 + t^3.736 + t^4.642 + 2*t^4.698 + 4*t^4.755 + 4*t^4.811 + 3*t^4.868 + t^4.924 + t^4.981 + t^5.887 + 2*t^5.943 - t^4.189/y - t^4.189*y	detail