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
56048	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$	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]]	[M:[[-6], [6], [6], [-14], [-24], [16], [-14]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$	${}M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$	0	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^6.093 + t^6.53 + 2*t^6.623 + 4*t^6.716 + 8*t^6.809 + 9*t^6.902 + 12*t^6.995 + 12*t^7.088 + 10*t^7.181 + 7*t^7.274 + 6*t^7.367 + 3*t^7.46 + 2*t^7.553 + t^7.646 + t^7.898 + 2*t^7.991 + 2*t^8.084 - 3*t^8.27 - 3*t^8.363 - 5*t^8.456 - 4*t^8.549 - 2*t^8.642 + t^8.707 + 2*t^8.8 + 4*t^8.893 + 8*t^8.986 - t^4.181/y - t^6.358/y - (2*t^6.451)/y - t^6.544/y - t^6.637/y - t^6.73/y + (2*t^7.447)/y + (2*t^7.54)/y + (5*t^7.633)/y + (6*t^7.726)/y + (5*t^7.819)/y + (4*t^7.912)/y + (3*t^8.005)/y - t^8.535/y - (2*t^8.628)/y - (3*t^8.721)/y - t^8.907/y - t^4.181*y - t^6.358*y - 2*t^6.451*y - t^6.544*y - t^6.637*y - t^6.73*y + 2*t^7.447*y + 2*t^7.54*y + 5*t^7.633*y + 6*t^7.726*y + 5*t^7.819*y + 4*t^7.912*y + 3*t^8.005*y - t^8.535*y - 2*t^8.628*y - 3*t^8.721*y - t^8.907*y	t^2.177/g1^24 + (2*t^2.27)/g1^14 + t^2.363/g1^4 + 2*g1^6*t^2.456 + g1^16*t^2.549 + t^3.544/g1^6 + g1^4*t^3.637 + t^4.354/g1^48 + (2*t^4.447)/g1^38 + (4*t^4.54)/g1^28 + (4*t^4.633)/g1^18 + (6*t^4.726)/g1^8 + 5*g1^2*t^4.819 + 4*g1^12*t^4.912 + 2*g1^22*t^5.005 + g1^32*t^5.098 + t^5.721/g1^30 + (2*t^5.814)/g1^20 + t^5.907/g1^10 + g1^10*t^6.093 + t^6.53/g1^72 + (2*t^6.623)/g1^62 + (4*t^6.716)/g1^52 + (8*t^6.809)/g1^42 + (9*t^6.902)/g1^32 + (12*t^6.995)/g1^22 + (12*t^7.088)/g1^12 + (10*t^7.181)/g1^2 + 7*g1^8*t^7.274 + 6*g1^18*t^7.367 + 3*g1^28*t^7.46 + 2*g1^38*t^7.553 + g1^48*t^7.646 + t^7.898/g1^54 + (2*t^7.991)/g1^44 + (2*t^8.084)/g1^34 - (3*t^8.27)/g1^14 - (3*t^8.363)/g1^4 - 5*g1^6*t^8.456 - 4*g1^16*t^8.549 - 2*g1^26*t^8.642 + t^8.707/g1^96 + (2*t^8.8)/g1^86 + (4*t^8.893)/g1^76 + (8*t^8.986)/g1^66 - t^4.181/(g1^2*y) - t^6.358/(g1^26*y) - (2*t^6.451)/(g1^16*y) - t^6.544/(g1^6*y) - (g1^4*t^6.637)/y - (g1^14*t^6.73)/y + (2*t^7.447)/(g1^38*y) + (2*t^7.54)/(g1^28*y) + (5*t^7.633)/(g1^18*y) + (6*t^7.726)/(g1^8*y) + (5*g1^2*t^7.819)/y + (4*g1^12*t^7.912)/y + (3*g1^22*t^8.005)/y - t^8.535/(g1^50*y) - (2*t^8.628)/(g1^40*y) - (3*t^8.721)/(g1^30*y) - t^8.907/(g1^10*y) - (t^4.181*y)/g1^2 - (t^6.358*y)/g1^26 - (2*t^6.451*y)/g1^16 - (t^6.544*y)/g1^6 - g1^4*t^6.637*y - g1^14*t^6.73*y + (2*t^7.447*y)/g1^38 + (2*t^7.54*y)/g1^28 + (5*t^7.633*y)/g1^18 + (6*t^7.726*y)/g1^8 + 5*g1^2*t^7.819*y + 4*g1^12*t^7.912*y + 3*g1^22*t^8.005*y - (t^8.535*y)/g1^50 - (2*t^8.628*y)/g1^40 - (3*t^8.721*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
58133	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$	0.6993	0.9017	0.7756	[M:[1.1839, 0.8161, 0.8161, 0.7625, 0.7356, 0.8429, 0.7625, 0.8161], q:[0.3812, 0.4349], qb:[0.8027, 0.8027], phi:[0.3946]]	t^2.207 + 2*t^2.287 + t^2.368 + 3*t^2.448 + t^2.529 + t^3.632 + t^4.414 + 2*t^4.494 + 4*t^4.575 + 5*t^4.655 + 8*t^4.736 + 6*t^4.816 + 7*t^4.897 + 3*t^4.977 + t^5.057 - 2*t^6. - t^4.184/y - t^4.184*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
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]]	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. - t^4.186/y - t^4.186*y	detail