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
2414	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6424	0.8636	0.7438	[M:[0.9213, 1.236, 0.9213, 0.764, 0.6967, 0.6967, 0.9213], q:[0.7303, 0.3483], qb:[0.3483, 0.4157], phi:[0.5393]]	[M:[[4], [-12], [4], [12], [-10], [-10], [4]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$	${}M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$	-1	3*t^2.09 + 2*t^2.292 + 3*t^2.764 + t^3.438 + 3*t^3.708 + t^4.112 + 6*t^4.18 + 6*t^4.382 + 3*t^4.584 + 9*t^4.854 + 6*t^5.056 + 8*t^5.528 + 2*t^5.73 + 7*t^5.798 - t^6. + 3*t^6.202 + 10*t^6.27 + 2*t^6.404 + 16*t^6.472 + 6*t^6.674 + 7*t^6.876 + 15*t^6.944 + 15*t^7.146 + 7*t^7.348 + 3*t^7.416 + t^7.55 + 13*t^7.618 + 13*t^7.82 + 12*t^7.888 + 3*t^8.022 - 7*t^8.09 + t^8.224 + 8*t^8.292 + 15*t^8.36 + 6*t^8.494 + 26*t^8.562 + 3*t^8.696 - 2*t^8.764 + 12*t^8.966 - t^4.618/y - (2*t^6.708)/y + (3*t^7.18)/y + (4*t^7.382)/y + t^7.584/y + (11*t^7.854)/y + (6*t^8.056)/y + (8*t^8.528)/y + (2*t^8.73)/y + (6*t^8.798)/y - t^4.618*y - 2*t^6.708*y + 3*t^7.18*y + 4*t^7.382*y + t^7.584*y + 11*t^7.854*y + 6*t^8.056*y + 8*t^8.528*y + 2*t^8.73*y + 6*t^8.798*y	(3*t^2.09)/g1^10 + 2*g1^12*t^2.292 + 3*g1^4*t^2.764 + g1^18*t^3.438 + (3*t^3.708)/g1^12 + g1^32*t^4.112 + (6*t^4.18)/g1^20 + 6*g1^2*t^4.382 + 3*g1^24*t^4.584 + (9*t^4.854)/g1^6 + 6*g1^16*t^5.056 + 8*g1^8*t^5.528 + 2*g1^30*t^5.73 + (7*t^5.798)/g1^22 - t^6. + 3*g1^22*t^6.202 + (10*t^6.27)/g1^30 + 2*g1^44*t^6.404 + (16*t^6.472)/g1^8 + 6*g1^14*t^6.674 + 7*g1^36*t^6.876 + (15*t^6.944)/g1^16 + 15*g1^6*t^7.146 + 7*g1^28*t^7.348 + (3*t^7.416)/g1^24 + g1^50*t^7.55 + (13*t^7.618)/g1^2 + 13*g1^20*t^7.82 + (12*t^7.888)/g1^32 + 3*g1^42*t^8.022 - (7*t^8.09)/g1^10 + g1^64*t^8.224 + 8*g1^12*t^8.292 + (15*t^8.36)/g1^40 + 6*g1^34*t^8.494 + (26*t^8.562)/g1^18 + 3*g1^56*t^8.696 - 2*g1^4*t^8.764 + 12*g1^26*t^8.966 - t^4.618/(g1^2*y) - (2*t^6.708)/(g1^12*y) + (3*t^7.18)/(g1^20*y) + (4*g1^2*t^7.382)/y + (g1^24*t^7.584)/y + (11*t^7.854)/(g1^6*y) + (6*g1^16*t^8.056)/y + (8*g1^8*t^8.528)/y + (2*g1^30*t^8.73)/y + (6*t^8.798)/(g1^22*y) - (t^4.618*y)/g1^2 - (2*t^6.708*y)/g1^12 + (3*t^7.18*y)/g1^20 + 4*g1^2*t^7.382*y + g1^24*t^7.584*y + (11*t^7.854*y)/g1^6 + 6*g1^16*t^8.056*y + 8*g1^8*t^8.528*y + 2*g1^30*t^8.73*y + (6*t^8.798*y)/g1^22

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
4453	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{8}$	0.661	0.8975	0.7365	[M:[0.9187, 1.2438, 0.9187, 0.7562, 0.7032, 0.7032, 0.9187, 0.7562], q:[0.7297, 0.3516], qb:[0.3516, 0.4046], phi:[0.5406]]	3*t^2.11 + 3*t^2.269 + 3*t^2.756 + t^3.403 + 2*t^3.731 + t^4.049 + 6*t^4.219 + 9*t^4.378 + 6*t^4.537 + 9*t^4.866 + 9*t^5.025 + 8*t^5.512 + 3*t^5.671 + 4*t^5.841 - t^6. - t^4.622/y - t^4.622*y	detail
4452	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6562	0.8881	0.7389	[M:[0.9276, 1.2173, 0.9276, 0.7827, 0.6811, 0.6811, 0.9276, 0.826], q:[0.7319, 0.3406], qb:[0.3406, 0.4421], phi:[0.5362]]	3*t^2.043 + 2*t^2.348 + t^2.478 + 3*t^2.783 + 3*t^3.652 + 6*t^4.087 + t^4.261 + 6*t^4.391 + 3*t^4.521 + 3*t^4.696 + 11*t^4.826 + t^4.956 + 6*t^5.131 + 3*t^5.261 + 5*t^5.565 + 7*t^5.695 - t^6. - t^4.609/y - t^4.609*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
1352	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6352	0.8516	0.7459	[M:[0.9231, 1.2307, 0.9231, 0.7693, 0.6922, 0.6922], q:[0.7308, 0.3461], qb:[0.3461, 0.4232], phi:[0.5384]]	3*t^2.077 + 2*t^2.308 + 2*t^2.769 + t^3.231 + t^3.462 + 3*t^3.692 + 6*t^4.153 + t^4.155 + 6*t^4.385 + 3*t^4.616 + 6*t^4.846 + 4*t^5.077 + 3*t^5.307 + 7*t^5.539 + 7*t^5.769 + 2*t^5.77 + t^6. - t^4.615/y - t^4.615*y	detail