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
5057	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.7099	0.9161	0.7749	[M:[1.0713, 0.8143, 1.0572, 0.8285, 1.1715, 0.6858, 0.7142, 0.7142], q:[0.5215, 0.4072], qb:[0.4214, 0.7643], phi:[0.4714]]	[M:[[-30], [22], [4], [-12], [12], [48], [-20], [-20]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-1	t^2.058 + 2*t^2.143 + t^2.443 + t^2.486 + t^2.829 + t^3.171 + t^3.214 + t^3.514 + t^3.9 + t^4.115 + 3*t^4.2 + t^4.243 + 3*t^4.285 + t^4.501 + 2*t^4.543 + 2*t^4.586 + 2*t^4.628 + 2*t^4.886 + t^4.929 + 3*t^4.971 + t^5.229 + 2*t^5.272 + 3*t^5.314 + 2*t^5.357 + t^5.572 + t^5.614 + 4*t^5.657 + t^5.957 - t^6. + 2*t^6.043 + t^6.173 + 3*t^6.258 + 5*t^6.343 + 3*t^6.386 + 5*t^6.428 + t^6.558 + 2*t^6.601 + 3*t^6.643 + 5*t^6.686 + 4*t^6.728 + 3*t^6.771 + 2*t^6.944 + 2*t^6.986 + 5*t^7.029 + t^7.071 + 4*t^7.114 + t^7.287 + 3*t^7.329 + 4*t^7.372 + 4*t^7.414 + 5*t^7.457 + 3*t^7.499 + t^7.629 + t^7.672 + 4*t^7.715 + 2*t^7.757 + 7*t^7.8 + t^8.015 + 2*t^8.1 - 2*t^8.143 + 3*t^8.185 + t^8.23 + 3*t^8.315 + 5*t^8.4 - t^8.443 + 7*t^8.486 + 4*t^8.528 + 7*t^8.571 + t^8.616 + 2*t^8.658 + 3*t^8.701 + 5*t^8.743 + 5*t^8.786 + 5*t^8.829 + 7*t^8.871 + 4*t^8.914 - t^4.414/y - t^6.472/y - (2*t^6.557)/y - t^6.857/y + (3*t^7.2)/y + t^7.285/y + t^7.501/y + t^7.543/y + (2*t^7.586)/y + t^7.628/y + t^7.886/y + t^7.929/y + (3*t^7.971)/y + t^8.229/y + (4*t^8.272)/y + (3*t^8.314)/y + (3*t^8.357)/y - t^8.529/y + t^8.572/y - t^8.614/y + (4*t^8.657)/y - (2*t^8.7)/y - t^8.915/y + (2*t^8.957)/y - t^4.414*y - t^6.472*y - 2*t^6.557*y - t^6.857*y + 3*t^7.2*y + t^7.285*y + t^7.501*y + t^7.543*y + 2*t^7.586*y + t^7.628*y + t^7.886*y + t^7.929*y + 3*t^7.971*y + t^8.229*y + 4*t^8.272*y + 3*t^8.314*y + 3*t^8.357*y - t^8.529*y + t^8.572*y - t^8.614*y + 4*t^8.657*y - 2*t^8.7*y - t^8.915*y + 2*t^8.957*y	g1^48*t^2.058 + (2*t^2.143)/g1^20 + g1^22*t^2.443 + t^2.486/g1^12 + t^2.829/g1^4 + g1^4*t^3.171 + t^3.214/g1^30 + g1^12*t^3.514 + t^3.9/g1^14 + g1^96*t^4.115 + 3*g1^28*t^4.2 + t^4.243/g1^6 + (3*t^4.285)/g1^40 + g1^70*t^4.501 + 2*g1^36*t^4.543 + 2*g1^2*t^4.586 + (2*t^4.628)/g1^32 + 2*g1^44*t^4.886 + g1^10*t^4.929 + (3*t^4.971)/g1^24 + g1^52*t^5.229 + 2*g1^18*t^5.272 + (3*t^5.314)/g1^16 + (2*t^5.357)/g1^50 + g1^60*t^5.572 + g1^26*t^5.614 + (4*t^5.657)/g1^8 + g1^34*t^5.957 - t^6. + (2*t^6.043)/g1^34 + g1^144*t^6.173 + 3*g1^76*t^6.258 + 5*g1^8*t^6.343 + (3*t^6.386)/g1^26 + (5*t^6.428)/g1^60 + g1^118*t^6.558 + 2*g1^84*t^6.601 + 3*g1^50*t^6.643 + 5*g1^16*t^6.686 + (4*t^6.728)/g1^18 + (3*t^6.771)/g1^52 + 2*g1^92*t^6.944 + 2*g1^58*t^6.986 + 5*g1^24*t^7.029 + t^7.071/g1^10 + (4*t^7.114)/g1^44 + g1^100*t^7.287 + 3*g1^66*t^7.329 + 4*g1^32*t^7.372 + (4*t^7.414)/g1^2 + (5*t^7.457)/g1^36 + (3*t^7.499)/g1^70 + g1^108*t^7.629 + g1^74*t^7.672 + 4*g1^40*t^7.715 + 2*g1^6*t^7.757 + (7*t^7.8)/g1^28 + g1^82*t^8.015 + 2*g1^14*t^8.1 - (2*t^8.143)/g1^20 + (3*t^8.185)/g1^54 + g1^192*t^8.23 + 3*g1^124*t^8.315 + 5*g1^56*t^8.4 - g1^22*t^8.443 + (7*t^8.486)/g1^12 + (4*t^8.528)/g1^46 + (7*t^8.571)/g1^80 + g1^166*t^8.616 + 2*g1^132*t^8.658 + 3*g1^98*t^8.701 + 5*g1^64*t^8.743 + 5*g1^30*t^8.786 + (5*t^8.829)/g1^4 + (7*t^8.871)/g1^38 + (4*t^8.914)/g1^72 - t^4.414/(g1^2*y) - (g1^46*t^6.472)/y - (2*t^6.557)/(g1^22*y) - (g1^20*t^6.857)/y + (3*g1^28*t^7.2)/y + t^7.285/(g1^40*y) + (g1^70*t^7.501)/y + (g1^36*t^7.543)/y + (2*g1^2*t^7.586)/y + t^7.628/(g1^32*y) + (g1^44*t^7.886)/y + (g1^10*t^7.929)/y + (3*t^7.971)/(g1^24*y) + (g1^52*t^8.229)/y + (4*g1^18*t^8.272)/y + (3*t^8.314)/(g1^16*y) + (3*t^8.357)/(g1^50*y) - (g1^94*t^8.529)/y + (g1^60*t^8.572)/y - (g1^26*t^8.614)/y + (4*t^8.657)/(g1^8*y) - (2*t^8.7)/(g1^42*y) - (g1^68*t^8.915)/y + (2*g1^34*t^8.957)/y - (t^4.414*y)/g1^2 - g1^46*t^6.472*y - (2*t^6.557*y)/g1^22 - g1^20*t^6.857*y + 3*g1^28*t^7.2*y + (t^7.285*y)/g1^40 + g1^70*t^7.501*y + g1^36*t^7.543*y + 2*g1^2*t^7.586*y + (t^7.628*y)/g1^32 + g1^44*t^7.886*y + g1^10*t^7.929*y + (3*t^7.971*y)/g1^24 + g1^52*t^8.229*y + 4*g1^18*t^8.272*y + (3*t^8.314*y)/g1^16 + (3*t^8.357*y)/g1^50 - g1^94*t^8.529*y + g1^60*t^8.572*y - g1^26*t^8.614*y + (4*t^8.657*y)/g1^8 - (2*t^8.7*y)/g1^42 - g1^68*t^8.915*y + 2*g1^34*t^8.957*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
6675	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$	0.7304	0.9555	0.7644	[M:[1.0734, 0.8128, 1.0569, 0.8294, 1.1706, 0.6825, 0.7156, 0.7156, 0.6991], q:[0.5202, 0.4064], qb:[0.423, 0.7642], phi:[0.4716]]	t^2.048 + t^2.097 + 2*t^2.147 + t^2.438 + t^2.488 + t^2.829 + t^3.171 + t^3.22 + t^3.512 + t^4.095 + t^4.145 + 4*t^4.194 + 3*t^4.244 + 3*t^4.294 + t^4.486 + 3*t^4.536 + 3*t^4.585 + 2*t^4.635 + 2*t^4.877 + 2*t^4.927 + 3*t^4.976 + t^5.218 + 3*t^5.268 + 4*t^5.317 + 2*t^5.367 + t^5.56 + 2*t^5.609 + 4*t^5.659 - t^6. - t^4.415/y - t^4.415*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
3177	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6897	0.8784	0.7852	[M:[1.0758, 0.8111, 1.0566, 0.8303, 1.1697, 0.6787, 0.7172], q:[0.5186, 0.4055], qb:[0.4248, 0.7641], phi:[0.4717]]	t^2.036 + t^2.152 + t^2.433 + t^2.491 + t^2.83 + t^3.17 + t^3.227 + t^3.509 + t^3.848 + t^3.906 + t^4.072 + 2*t^4.188 + t^4.245 + t^4.303 + t^4.469 + 2*t^4.527 + t^4.585 + t^4.643 + 2*t^4.866 + t^4.924 + 2*t^4.982 + t^5.206 + 2*t^5.264 + 2*t^5.321 + t^5.379 + t^5.545 + t^5.603 + 3*t^5.661 + t^5.884 + t^5.942 - t^4.415/y - t^4.415*y	detail