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
3089	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6548	0.8694	0.7531	[M:[0.9458, 1.1627, 0.9458, 0.8373, 0.7289, 0.744, 0.8373], q:[0.7364, 0.3178], qb:[0.4262, 0.4111], phi:[0.5271]]	[M:[[4], [-12], [4], [12], [20], [-18], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-2	2*t^2.187 + 2*t^2.232 + 2*t^2.512 + 2*t^2.837 + t^3.443 + t^3.488 + t^4.048 + t^4.093 + t^4.139 + 3*t^4.373 + 4*t^4.419 + 3*t^4.464 + 4*t^4.699 + 4*t^4.744 + 7*t^5.024 + 4*t^5.069 + 4*t^5.349 + 2*t^5.629 + 5*t^5.675 + t^5.72 + t^5.955 - 2*t^6. - t^6.045 + 2*t^6.235 + 4*t^6.28 + 2*t^6.325 + 2*t^6.371 + 6*t^6.56 + 6*t^6.605 + 6*t^6.651 + 4*t^6.696 + 8*t^6.885 + 8*t^6.931 + 6*t^6.976 + 11*t^7.211 + 10*t^7.256 + 4*t^7.301 + t^7.491 + 11*t^7.536 + 5*t^7.581 - t^7.627 + 3*t^7.816 + 12*t^7.861 + 4*t^7.907 + t^7.952 + t^8.096 + 3*t^8.141 + t^8.187 - 7*t^8.232 - t^8.277 + 3*t^8.421 + 8*t^8.467 + t^8.512 - t^8.557 + 3*t^8.603 + 9*t^8.747 + 10*t^8.792 - 2*t^8.837 + 6*t^8.883 + 5*t^8.928 - t^4.581/y - t^6.768/y - t^6.813/y - t^7.093/y + t^7.373/y + (3*t^7.419)/y + t^7.464/y + (4*t^7.699)/y + (5*t^7.744)/y + (5*t^8.024)/y + (5*t^8.069)/y + (5*t^8.349)/y + t^8.395/y + (2*t^8.629)/y + (5*t^8.675)/y + (2*t^8.72)/y + t^8.955/y - t^4.581*y - t^6.768*y - t^6.813*y - t^7.093*y + t^7.373*y + 3*t^7.419*y + t^7.464*y + 4*t^7.699*y + 5*t^7.744*y + 5*t^8.024*y + 5*t^8.069*y + 5*t^8.349*y + t^8.395*y + 2*t^8.629*y + 5*t^8.675*y + 2*t^8.72*y + t^8.955*y	2*g1^20*t^2.187 + (2*t^2.232)/g1^18 + 2*g1^12*t^2.512 + 2*g1^4*t^2.837 + g1^26*t^3.443 + t^3.488/g1^12 + g1^48*t^4.048 + g1^10*t^4.093 + t^4.139/g1^28 + 3*g1^40*t^4.373 + 4*g1^2*t^4.419 + (3*t^4.464)/g1^36 + 4*g1^32*t^4.699 + (4*t^4.744)/g1^6 + 7*g1^24*t^5.024 + (4*t^5.069)/g1^14 + 4*g1^16*t^5.349 + 2*g1^46*t^5.629 + 5*g1^8*t^5.675 + t^5.72/g1^30 + g1^38*t^5.955 - 2*t^6. - t^6.045/g1^38 + 2*g1^68*t^6.235 + 4*g1^30*t^6.28 + (2*t^6.325)/g1^8 + (2*t^6.371)/g1^46 + 6*g1^60*t^6.56 + 6*g1^22*t^6.605 + (6*t^6.651)/g1^16 + (4*t^6.696)/g1^54 + 8*g1^52*t^6.885 + 8*g1^14*t^6.931 + (6*t^6.976)/g1^24 + 11*g1^44*t^7.211 + 10*g1^6*t^7.256 + (4*t^7.301)/g1^32 + g1^74*t^7.491 + 11*g1^36*t^7.536 + (5*t^7.581)/g1^2 - t^7.627/g1^40 + 3*g1^66*t^7.816 + 12*g1^28*t^7.861 + (4*t^7.907)/g1^10 + t^7.952/g1^48 + g1^96*t^8.096 + 3*g1^58*t^8.141 + g1^20*t^8.187 - (7*t^8.232)/g1^18 - t^8.277/g1^56 + 3*g1^88*t^8.421 + 8*g1^50*t^8.467 + g1^12*t^8.512 - t^8.557/g1^26 + (3*t^8.603)/g1^64 + 9*g1^80*t^8.747 + 10*g1^42*t^8.792 - 2*g1^4*t^8.837 + (6*t^8.883)/g1^34 + (5*t^8.928)/g1^72 - t^4.581/(g1^2*y) - (g1^18*t^6.768)/y - t^6.813/(g1^20*y) - (g1^10*t^7.093)/y + (g1^40*t^7.373)/y + (3*g1^2*t^7.419)/y + t^7.464/(g1^36*y) + (4*g1^32*t^7.699)/y + (5*t^7.744)/(g1^6*y) + (5*g1^24*t^8.024)/y + (5*t^8.069)/(g1^14*y) + (5*g1^16*t^8.349)/y + t^8.395/(g1^22*y) + (2*g1^46*t^8.629)/y + (5*g1^8*t^8.675)/y + (2*t^8.72)/(g1^30*y) + (g1^38*t^8.955)/y - (t^4.581*y)/g1^2 - g1^18*t^6.768*y - (t^6.813*y)/g1^20 - g1^10*t^7.093*y + g1^40*t^7.373*y + 3*g1^2*t^7.419*y + (t^7.464*y)/g1^36 + 4*g1^32*t^7.699*y + (5*t^7.744*y)/g1^6 + 5*g1^24*t^8.024*y + (5*t^8.069*y)/g1^14 + 5*g1^16*t^8.349*y + (t^8.395*y)/g1^22 + 2*g1^46*t^8.629*y + 5*g1^8*t^8.675*y + (2*t^8.72*y)/g1^30 + g1^38*t^8.955*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
4956	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6477	0.857	0.7558	[M:[0.9565, 1.1304, 0.9565, 0.8696, 0.7826, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]]	2*t^2.087 + 2*t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + t^3.652 + t^3.913 + 4*t^4.174 + 5*t^4.435 + 7*t^4.696 + 8*t^4.957 + 7*t^5.217 + 5*t^5.478 + 4*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y	detail	{a: 126093/194672, c: 83413/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23}
4958	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6686	0.8921	0.7495	[M:[0.9494, 1.1518, 0.9494, 0.8482, 0.747, 0.7277, 0.8482, 0.8289], q:[0.7374, 0.3132], qb:[0.4144, 0.4338], phi:[0.5253]]	2*t^2.183 + 2*t^2.241 + t^2.487 + 2*t^2.545 + 2*t^2.848 + t^3.455 + t^4.063 + t^4.121 + t^4.178 + 3*t^4.366 + 4*t^4.424 + 3*t^4.482 + 2*t^4.67 + 6*t^4.728 + 4*t^4.786 + t^4.973 + 6*t^5.031 + 7*t^5.089 + 2*t^5.335 + 4*t^5.393 + t^5.638 + 3*t^5.696 - 2*t^6. - t^4.576/y - t^4.576*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
2024	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6559	0.8685	0.7552	[M:[0.9574, 1.1279, 0.9574, 0.8721, 0.7258, 0.7529, 0.811], q:[0.7393, 0.3033], qb:[0.4496, 0.4225], phi:[0.5213]]	2*t^2.177 + 2*t^2.259 + t^2.433 + t^2.616 + 2*t^2.872 + t^3.384 + t^3.486 + t^4.099 + t^4.18 + t^4.262 + 3*t^4.355 + 4*t^4.436 + 3*t^4.518 + 2*t^4.61 + 2*t^4.692 + 2*t^4.794 + t^4.866 + 2*t^4.875 + 5*t^5.049 + 4*t^5.131 + t^5.233 + 2*t^5.305 + 2*t^5.489 + t^5.561 + t^5.642 + 2*t^5.663 + 4*t^5.744 + t^5.817 - 3*t^6. - t^4.564/y - t^4.564*y	detail