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
45882	SU2adj1nf2	${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.6849	0.8216	0.8337	[M:[1.2094, 0.8921, 0.689], q:[0.554, 0.554], qb:[0.8024, 0.5086], phi:[0.3953]]	[M:[[0, 4, 0], [0, -7, 1], [0, -1, -1]], q:[[-1, 7, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, -2, 0]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$	${}$	-5	t^2.067 + t^2.676 + 2*t^3.188 + t^3.628 + 2*t^4.069 + t^4.134 + t^4.237 + 2*t^4.374 + 3*t^4.51 + t^4.743 + 2*t^5.255 + t^5.353 + t^5.695 - 5*t^6. + t^6.201 + t^6.305 + 3*t^6.375 + 3*t^6.577 + t^6.811 + 2*t^6.816 - t^6.881 + t^6.914 - t^7.186 + 4*t^7.257 + t^7.42 + 2*t^7.425 + 3*t^7.561 + 6*t^7.697 + t^7.763 + t^8.029 - 5*t^8.067 + 3*t^8.138 + t^8.269 + t^8.372 + 3*t^8.442 + t^8.475 + 4*t^8.579 + 2*t^8.611 + 3*t^8.644 - 2*t^8.676 + 2*t^8.747 + t^8.878 + 4*t^8.883 + t^8.981 - t^4.186/y - t^6.253/y - t^6.862/y + t^7.51/y + t^7.743/y + t^8.119/y + (2*t^8.255)/y - t^8.32/y + t^8.695/y + (2*t^8.864)/y - t^8.929/y - t^4.186*y - t^6.253*y - t^6.862*y + t^7.51*y + t^7.743*y + t^8.119*y + 2*t^8.255*y - t^8.32*y + t^8.695*y + 2*t^8.864*y - t^8.929*y	t^2.067/(g2*g3) + (g3*t^2.676)/g2^7 + (g2^7*t^3.188)/g1 + g1*g3*t^3.188 + g2^4*t^3.628 + g1*g2*t^4.069 + (g2^8*t^4.069)/(g1*g3) + t^4.134/(g2^2*g3^2) + (g3^2*t^4.237)/g2^2 + (g2^5*t^4.374)/g1 + (g1*g3*t^4.374)/g2^2 + (g1^2*t^4.51)/g2^2 + (g2^12*t^4.51)/(g1^2*g3^2) + (g2^5*t^4.51)/g3 + t^4.743/g2^8 + (g1*t^5.255)/g2 + (g2^6*t^5.255)/(g1*g3) + (g3^2*t^5.353)/g2^14 + (g2^3*t^5.695)/g3 - 3*t^6. - (g2^7*t^6.)/(g1^2*g3) - (g1^2*g3*t^6.)/g2^7 + t^6.201/(g2^3*g3^3) + (g3*t^6.305)/g2^3 + (g2^14*t^6.375)/g1^2 + g2^7*g3*t^6.375 + g1^2*g3^2*t^6.375 + (g2^11*t^6.577)/(g1^2*g3^3) + (g2^4*t^6.577)/g3^2 + (g1^2*t^6.577)/(g2^3*g3) + t^6.811/(g2^9*g3) + (g2^11*t^6.816)/g1 + g1*g2^4*g3*t^6.816 - (g2*t^6.881)/g3 + (g3^3*t^6.914)/g2^9 - t^7.186/g2^2 + 2*g2^8*t^7.257 + (g2^15*t^7.257)/(g1^2*g3) + g1^2*g2*g3*t^7.257 + (g3*t^7.42)/g2^15 + (g2^5*g3^2*t^7.425)/g1 + (g1*g3^3*t^7.425)/g2^2 + (g2^12*t^7.561)/g1^2 + g2^5*g3*t^7.561 + (g1^2*g3^2*t^7.561)/g2^2 + 2*g1*g2^5*t^7.697 + (g2^19*t^7.697)/(g1^3*g3^2) + (2*g2^12*t^7.697)/(g1*g3) + (g1^3*g3*t^7.697)/g2^2 + (g2^2*t^7.763)/g3^2 + (g3^3*t^8.029)/g2^21 - (g1^2*t^8.067)/g2^8 - (g2^6*t^8.067)/(g1^2*g3^2) - (3*t^8.067)/(g2*g3) + g1^2*g2^2*t^8.138 + (g2^16*t^8.138)/(g1^2*g3^2) + (g2^9*t^8.138)/g3 + t^8.269/(g2^4*g3^4) + t^8.372/g2^4 + g2^6*t^8.442 + (g2^13*t^8.442)/(g1^2*g3) + (g1^2*g3*t^8.442)/g2 + (g3^4*t^8.475)/g2^4 + (g1^3*t^8.579)/g2 + (g2^20*t^8.579)/(g1^3*g3^3) + (g2^13*t^8.579)/(g1*g3^2) + (g1*g2^6*t^8.579)/g3 + (g2^3*g3^2*t^8.611)/g1 + (g1*g3^3*t^8.611)/g2^4 + (g2^10*t^8.644)/(g1^2*g3^4) + (g2^3*t^8.644)/g3^3 + (g1^2*t^8.644)/(g2^4*g3^2) - (2*g3*t^8.676)/g2^7 + (g2^10*t^8.747)/g1^2 + (g1^2*g3^2*t^8.747)/g2^4 + t^8.878/(g2^10*g3^2) + g1*g2^3*t^8.883 + (g2^17*t^8.883)/(g1^3*g3^2) + (g2^10*t^8.883)/(g1*g3) + (g1^3*g3*t^8.883)/g2^4 + (g3^2*t^8.981)/g2^10 - t^4.186/(g2^2*y) - t^6.253/(g2^3*g3*y) - (g3*t^6.862)/(g2^9*y) + (g2^5*t^7.51)/(g3*y) + t^7.743/(g2^8*y) + (g3*t^8.119)/(g2*y) + (g1*t^8.255)/(g2*y) + (g2^6*t^8.255)/(g1*g3*y) - t^8.32/(g2^4*g3^2*y) + (g2^3*t^8.695)/(g3*y) + (g3*t^8.864)/(g1*y) + (g1*g3^2*t^8.864)/(g2^7*y) - t^8.929/(g2^10*y) - (t^4.186*y)/g2^2 - (t^6.253*y)/(g2^3*g3) - (g3*t^6.862*y)/g2^9 + (g2^5*t^7.51*y)/g3 + (t^7.743*y)/g2^8 + (g3*t^8.119*y)/g2 + (g1*t^8.255*y)/g2 + (g2^6*t^8.255*y)/(g1*g3) - (t^8.32*y)/(g2^4*g3^2) + (g2^3*t^8.695*y)/g3 + (g3*t^8.864*y)/g1 + (g1*g3^2*t^8.864*y)/g2^7 - (t^8.929*y)/g2^10

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
46016	${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$	0.6788	0.8207	0.8272	[M:[1.1538, 1.0, 0.6924], q:[0.5, 0.5], qb:[0.7885, 0.5192], phi:[0.4231]]	t^2.077 + t^3. + 2*t^3.058 + t^3.461 + 2*t^3.865 + t^4.154 + 3*t^4.269 + 2*t^4.327 + t^4.384 + t^5.077 + 2*t^5.135 + t^5.539 - 4*t^6. - t^4.269/y - t^4.269*y	detail
46025	${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.5895	0.742	0.7945	[M:[1.0406, 0.9189, 1.0], q:[0.5406, 0.5406], qb:[0.7601, 0.2399], phi:[0.4797]]	2*t^2.341 + t^2.757 + t^2.878 + t^3. + t^3.122 + 2*t^3.78 + 2*t^3.902 + 6*t^4.683 + 2*t^5.22 + 2*t^5.341 + 2*t^5.463 + t^5.513 + t^5.635 + 2*t^5.757 + t^5.878 - 4*t^6. - t^4.439/y - t^4.439*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
45847	SU2adj1nf2	${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6643	0.7825	0.849	[M:[1.2048, 0.8927], q:[0.5537, 0.5537], qb:[0.8012, 0.501], phi:[0.3976]]	t^2.678 + 2*t^3.164 + t^3.614 + t^3.907 + 2*t^4.065 + t^4.199 + 2*t^4.357 + 3*t^4.515 + t^5.356 - 5*t^6. - t^4.193/y - t^4.193*y	detail