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
533	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$	0.7195	0.8802	0.8175	[M:[0.7932, 1.0909, 1.0251, 0.8434, 0.9749, 0.9749], q:[0.6405, 0.5664], qb:[0.5161, 0.4588], phi:[0.4546]]	[M:[[-4, 1, 8], [2, 0, -2], [0, -1, -4], [-4, -1, 0], [0, 1, 4], [0, 1, 4]], q:[[4, 0, 0], [0, -1, -8]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, 1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$	${}$	-4	t^2.379 + t^2.53 + 2*t^2.925 + t^3.247 + t^3.273 + t^3.298 + t^4.116 + t^4.288 + t^4.439 + t^4.46 + t^4.611 + t^4.661 + t^4.759 + t^4.762 + t^4.833 + t^4.91 + t^4.984 + t^5.06 + t^5.207 + 2*t^5.304 + t^5.455 + t^5.652 + t^5.803 + 2*t^5.849 - 4*t^6. - t^6.151 + t^6.172 + 2*t^6.197 + t^6.222 - t^6.323 - t^6.373 + t^6.495 + t^6.496 + t^6.52 + t^6.57 + t^6.595 + t^6.647 + t^6.668 + t^6.819 + t^6.84 + t^6.969 + t^6.991 + 2*t^7.041 + t^7.138 + t^7.141 + 2*t^7.213 + t^7.289 + t^7.292 + t^7.364 + 2*t^7.385 + t^7.414 + t^7.44 + t^7.536 + 2*t^7.586 + t^7.591 + 2*t^7.684 + t^7.687 + t^7.708 + 2*t^7.758 + t^7.834 + t^7.859 + t^7.959 + t^7.985 + t^8.009 + t^8.032 + 2*t^8.131 + t^8.182 - t^8.207 + 2*t^8.229 + t^8.233 + t^8.333 - 3*t^8.379 + t^8.405 + t^8.504 - 4*t^8.53 - t^8.552 + t^8.555 + 3*t^8.577 - t^8.681 - t^8.702 + 2*t^8.727 + t^8.749 - 2*t^8.753 + 2*t^8.774 + t^8.778 - t^8.853 + t^8.875 + t^8.878 + t^8.899 + t^8.921 - 8*t^8.925 + t^8.95 - t^4.364/y - t^6.743/y - t^6.894/y - t^7.288/y + t^7.439/y + t^7.833/y + t^7.91/y + t^7.984/y + (2*t^8.304)/y + (2*t^8.455)/y + t^8.627/y + t^8.652/y + t^8.677/y + t^8.778/y + t^8.803/y + t^8.828/y + t^8.849/y - t^4.364*y - t^6.743*y - t^6.894*y - t^7.288*y + t^7.439*y + t^7.833*y + t^7.91*y + t^7.984*y + 2*t^8.304*y + 2*t^8.455*y + t^8.627*y + t^8.652*y + t^8.677*y + t^8.778*y + t^8.803*y + t^8.828*y + t^8.849*y	(g2*g3^8*t^2.379)/g1^4 + t^2.53/(g1^4*g2) + 2*g2*g3^4*t^2.925 + t^3.247/g3^8 + (g1^2*t^3.273)/g3^2 + g1^4*g3^4*t^3.298 + (g3^9*t^4.116)/g1 + (g2*g3^5*t^4.288)/g1 + t^4.439/(g1*g2*g3^3) + (g2^2*g3*t^4.46)/g1 + t^4.611/(g1*g3^7) + g1^3*g3^5*t^4.661 + (g2^2*g3^16*t^4.759)/g1^8 + t^4.762/(g1*g2^2*g3^15) + g1^3*g2*g3*t^4.833 + (g3^8*t^4.91)/g1^8 + (g1^3*t^4.984)/(g2*g3^7) + t^5.06/(g1^8*g2^2) + g1^7*g3*t^5.207 + (2*g2^2*g3^12*t^5.304)/g1^4 + (g3^4*t^5.455)/g1^4 + (g2*g3^6*t^5.652)/g1^2 + t^5.803/(g1^2*g2*g3^2) + 2*g2^2*g3^8*t^5.849 - 4*t^6. - t^6.151/(g2^2*g3^8) + (g2*t^6.172)/g3^4 + 2*g1^2*g2*g3^2*t^6.197 + g1^4*g2*g3^8*t^6.222 - t^6.323/(g2*g3^12) - (g1^4*t^6.373)/g2 + t^6.495/g3^16 + (g2*g3^17*t^6.496)/g1^5 + (g1^2*t^6.52)/g3^10 + g1^6*g3^2*t^6.57 + g1^8*g3^8*t^6.595 + (g3^9*t^6.647)/(g1^5*g2) + (g2^2*g3^13*t^6.668)/g1^5 + (g3^5*t^6.819)/g1^5 + (g2^3*g3^9*t^6.84)/g1^5 + t^6.969/(g1^5*g2^2*g3^3) + (g2*g3*t^6.991)/g1^5 + (2*g2*g3^13*t^7.041)/g1 + (g2^3*g3^24*t^7.138)/g1^12 + t^7.141/(g1^5*g2*g3^7) + (2*g2^2*g3^9*t^7.213)/g1 + (g2*g3^16*t^7.289)/g1^12 + t^7.292/(g1^5*g2^3*g3^15) + (g3*t^7.364)/g1 + (2*g2^3*g3^5*t^7.385)/g1 + g1^3*g3^13*t^7.414 + (g3^8*t^7.44)/(g1^12*g2) + (g2*t^7.536)/(g1*g3^3) + 2*g1^3*g2*g3^9*t^7.586 + t^7.591/(g1^12*g2^3) + (2*g2^3*g3^20*t^7.684)/g1^8 + t^7.687/(g1*g2*g3^11) + (g2^2*t^7.708)/(g1*g3^7) + 2*g1^3*g2^2*g3^5*t^7.758 + (g2*g3^12*t^7.834)/g1^8 + t^7.859/(g1*g3^15) + g1^7*g3^9*t^7.959 + (g3^4*t^7.985)/(g1^8*g2) + t^8.009/(g1*g2^2*g3^23) + (g2^2*g3^14*t^8.032)/g1^6 + 2*g1^7*g2*g3^5*t^8.131 + (g3^6*t^8.182)/g1^6 - (g3^12*t^8.207)/g1^4 + (2*g2^3*g3^16*t^8.229)/g1^4 + (g3^18*t^8.233)/g1^2 + t^8.333/(g1^6*g2^2*g3^2) - (3*g2*g3^8*t^8.379)/g1^4 + (g2*g3^14*t^8.405)/g1^2 + g1^11*g3^5*t^8.504 - (4*t^8.53)/(g1^4*g2) - (g2^2*g3^4*t^8.552)/g1^4 + (g3^6*t^8.555)/(g1^2*g2) + (3*g2^2*g3^10*t^8.577)/g1^2 - t^8.681/(g1^4*g2^3*g3^8) - t^8.702/(g1^4*g3^4) + (2*g3^2*t^8.727)/g1^2 + (g2^3*g3^6*t^8.749)/g1^2 - 2*g3^8*t^8.753 + 2*g2^3*g3^12*t^8.774 + g1^2*g3^14*t^8.778 - t^8.853/(g1^4*g2^2*g3^12) + (g2^2*g3^25*t^8.875)/g1^9 + t^8.878/(g1^2*g2^2*g3^6) + (g2*t^8.899)/(g1^2*g3^2) + (g2^4*g3^2*t^8.921)/g1^2 - 8*g2*g3^4*t^8.925 + g1^2*g2*g3^10*t^8.95 - (g3*t^4.364)/(g1*y) - (g2*g3^9*t^6.743)/(g1^5*y) - (g3*t^6.894)/(g1^5*g2*y) - (g2*g3^5*t^7.288)/(g1*y) + t^7.439/(g1*g2*g3^3*y) + (g1^3*g2*g3*t^7.833)/y + (g3^8*t^7.91)/(g1^8*y) + (g1^3*t^7.984)/(g2*g3^7*y) + (2*g2^2*g3^12*t^8.304)/(g1^4*y) + (2*g3^4*t^8.455)/(g1^4*y) + (g2*t^8.627)/(g1^4*y) + (g2*g3^6*t^8.652)/(g1^2*y) + (g2*g3^12*t^8.677)/y + t^8.778/(g1^4*g2*g3^8*y) + t^8.803/(g1^2*g2*g3^2*y) + (g3^4*t^8.828)/(g2*y) + (g2^2*g3^8*t^8.849)/y - (g3*t^4.364*y)/g1 - (g2*g3^9*t^6.743*y)/g1^5 - (g3*t^6.894*y)/(g1^5*g2) - (g2*g3^5*t^7.288*y)/g1 + (t^7.439*y)/(g1*g2*g3^3) + g1^3*g2*g3*t^7.833*y + (g3^8*t^7.91*y)/g1^8 + (g1^3*t^7.984*y)/(g2*g3^7) + (2*g2^2*g3^12*t^8.304*y)/g1^4 + (2*g3^4*t^8.455*y)/g1^4 + (g2*t^8.627*y)/g1^4 + (g2*g3^6*t^8.652*y)/g1^2 + g2*g3^12*t^8.677*y + (t^8.778*y)/(g1^4*g2*g3^8) + (t^8.803*y)/(g1^2*g2*g3^2) + (g3^4*t^8.828*y)/g2 + g2^2*g3^8*t^8.849*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
1879	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$	0.617	0.7524	0.82	[X:[1.6109], M:[0.3891, 1.2218, 1.1673, 0.7236, 0.8327, 0.8327], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]]	t^2.171 + 2*t^2.498 + 2*t^3.584 + 2*t^3.665 + 2*t^3.747 + t^4.342 + 2*t^4.669 + t^4.833 + 3*t^4.996 + 2*t^5.754 + t^5.836 - 3*t^6. - t^4.167/y - t^4.167*y	detail
1880	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}^{2}$	0.7001	0.8624	0.8118	[M:[0.6791, 1.1496, 1.0217, 0.7225, 0.9783, 0.9783], q:[0.7874, 0.5335], qb:[0.4901, 0.4882], phi:[0.4252]]	t^2.037 + t^2.167 + 2*t^2.935 + t^3.071 + t^3.449 + t^3.827 + t^4.075 + 2*t^4.205 + t^4.211 + t^4.216 + t^4.335 + t^4.341 + t^4.346 + t^4.476 + 2*t^4.972 + 2*t^5.102 + t^5.108 + t^5.238 + t^5.486 + t^5.616 + 2*t^5.87 - 3*t^6. - t^4.276/y - t^4.276*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
338	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$	0.7184	0.8775	0.8187	[M:[0.8179, 1.091, 1.0, 0.8179, 1.0], q:[0.6411, 0.541], qb:[0.541, 0.459], phi:[0.4545]]	2*t^2.454 + 2*t^3. + t^3.246 + t^3.273 + t^3.3 + t^4.118 + 2*t^4.363 + 3*t^4.609 + t^4.664 + 3*t^4.907 + 2*t^4.91 + t^5.21 + 3*t^5.454 + 2*t^5.727 - 3*t^6. - t^4.363/y - t^4.363*y	detail