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
4362	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.5706	0.7117	0.8018	[X:[1.3642], M:[0.6358, 1.1571, 1.05, 0.7357, 0.95, 1.2643, 0.95, 0.7429], q:[0.9464, 0.4178], qb:[0.3179, 0.6321], phi:[0.4214]]	[X:[[22]], M:[[-22], [4], [14], [6], [-14], [-6], [-14], [-32]], q:[[5], [17]], qb:[[-11], [-3]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-2	t^2.207 + t^2.229 + 2*t^2.85 + t^3.172 + 2*t^3.471 + t^3.793 + t^4.093 + t^4.414 + t^4.436 + t^4.458 + t^4.736 + 2*t^5.057 + 2*t^5.079 + t^5.4 + t^5.679 + 4*t^5.7 - 2*t^6. + 3*t^6.022 + 3*t^6.321 + t^6.343 - t^6.621 + 3*t^6.643 + t^6.665 + t^6.686 + 2*t^6.943 + t^6.964 - t^7.243 + 2*t^7.264 + 2*t^7.286 + 2*t^7.308 + t^7.586 + t^7.629 + 3*t^7.907 + 4*t^7.929 + t^8.185 - 2*t^8.207 - 2*t^8.229 + 3*t^8.25 - t^8.507 + t^8.529 + 5*t^8.55 + t^8.572 - t^8.828 - 6*t^8.85 + 5*t^8.872 + t^8.893 + t^8.915 - t^4.264/y - t^6.493/y - t^7.114/y + t^7.414/y + t^7.436/y + t^8.036/y + (2*t^8.057)/y + (2*t^8.079)/y + t^8.379/y + t^8.4/y + (2*t^8.679)/y + (3*t^8.7)/y - t^8.722/y - t^4.264*y - t^6.493*y - t^7.114*y + t^7.414*y + t^7.436*y + t^8.036*y + 2*t^8.057*y + 2*t^8.079*y + t^8.379*y + t^8.4*y + 2*t^8.679*y + 3*t^8.7*y - t^8.722*y	g1^6*t^2.207 + t^2.229/g1^32 + (2*t^2.85)/g1^14 + t^3.172/g1^24 + 2*g1^4*t^3.471 + t^3.793/g1^6 + g1^22*t^4.093 + g1^12*t^4.414 + t^4.436/g1^26 + t^4.458/g1^64 + g1^2*t^4.736 + (2*t^5.057)/g1^8 + (2*t^5.079)/g1^46 + t^5.4/g1^56 + g1^10*t^5.679 + (4*t^5.7)/g1^28 - 2*t^6. + (3*t^6.022)/g1^38 + (3*t^6.321)/g1^10 + t^6.343/g1^48 - g1^18*t^6.621 + (3*t^6.643)/g1^20 + t^6.665/g1^58 + t^6.686/g1^96 + 2*g1^8*t^6.943 + t^6.964/g1^30 - g1^36*t^7.243 + (2*t^7.264)/g1^2 + (2*t^7.286)/g1^40 + (2*t^7.308)/g1^78 + t^7.586/g1^12 + t^7.629/g1^88 + (3*t^7.907)/g1^22 + (4*t^7.929)/g1^60 + g1^44*t^8.185 - 2*g1^6*t^8.207 - (2*t^8.229)/g1^32 + (3*t^8.25)/g1^70 - g1^34*t^8.507 + t^8.529/g1^4 + (5*t^8.55)/g1^42 + t^8.572/g1^80 - g1^24*t^8.828 - (6*t^8.85)/g1^14 + (5*t^8.872)/g1^52 + t^8.893/g1^90 + t^8.915/g1^128 - t^4.264/(g1^2*y) - t^6.493/(g1^34*y) - t^7.114/(g1^16*y) + (g1^12*t^7.414)/y + t^7.436/(g1^26*y) + (g1^30*t^8.036)/y + (2*t^8.057)/(g1^8*y) + (2*t^8.079)/(g1^46*y) + t^8.379/(g1^18*y) + t^8.4/(g1^56*y) + (2*g1^10*t^8.679)/y + (3*t^8.7)/(g1^28*y) - t^8.722/(g1^66*y) - (t^4.264*y)/g1^2 - (t^6.493*y)/g1^34 - (t^7.114*y)/g1^16 + g1^12*t^7.414*y + (t^7.436*y)/g1^26 + g1^30*t^8.036*y + (2*t^8.057*y)/g1^8 + (2*t^8.079*y)/g1^46 + (t^8.379*y)/g1^18 + (t^8.4*y)/g1^56 + 2*g1^10*t^8.679*y + (3*t^8.7*y)/g1^28 - (t^8.722*y)/g1^66

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
5818	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{9}$	0.5902	0.7476	0.7895	[X:[1.3608], M:[0.6392, 1.1565, 1.0478, 0.7348, 0.9522, 1.2652, 0.9522, 0.7479, 0.7348], q:[0.9456, 0.4152], qb:[0.3196, 0.6326], phi:[0.4217]]	2*t^2.204 + t^2.244 + 2*t^2.857 + t^3.183 + 2*t^3.47 + t^4.082 + 3*t^4.409 + 2*t^4.448 + t^4.487 + t^4.735 + 4*t^5.061 + 2*t^5.1 + t^5.387 + t^5.426 + 3*t^5.674 + 4*t^5.713 - 3*t^6. - t^4.265/y - t^4.265*y	detail
5837	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}^{2}$	0.5318	0.6568	0.8097	[X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0625, 1.0], q:[0.9063, 0.2813], qb:[0.4063, 0.6563], phi:[0.4375]]	t^2.063 + t^3. + 2*t^3.188 + 2*t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.688 + t^5.063 + 2*t^5.25 + t^5.438 - t^6. - t^4.313/y - t^4.313*y	detail	{a: 34851/65536, c: 43043/65536, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 17/16, M8: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16}

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
2366	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$	0.5521	0.6771	0.8154	[X:[1.3342], M:[0.6658, 1.1517, 1.0309, 0.7275, 0.9691, 1.2725, 0.9691], q:[0.9396, 0.3946], qb:[0.3329, 0.6362], phi:[0.4242]]	t^2.183 + 2*t^2.907 + t^3.27 + 2*t^3.455 + t^3.64 + t^3.817 + t^4.003 + t^4.365 + t^4.728 + 2*t^5.09 + t^5.638 + 2*t^5.815 + t^5.823 - 2*t^6. - t^4.272/y - t^4.272*y	detail