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
46871	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.7119	0.9046	0.787	[M:[0.9822, 0.9822, 1.119, 0.6785, 0.6785, 0.6785], q:[0.5773, 0.4405], qb:[0.4405, 0.7798], phi:[0.4405]]	[M:[[1, -7], [-1, -11], [0, 4], [0, 6], [2, 10], [-2, 2]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$	${}$	-4	3*t^2.036 + t^2.643 + 2*t^2.947 + t^3.357 + 2*t^3.661 + 7*t^4.071 + 2*t^4.375 + 3*t^4.679 + t^4.785 + 6*t^4.982 + t^5.286 + 3*t^5.393 + 6*t^5.696 + 3*t^5.893 - 4*t^6. + 13*t^6.107 + 2*t^6.304 + 4*t^6.411 + 3*t^6.607 + 6*t^6.714 + 3*t^6.821 - 2*t^6.911 + 14*t^7.018 + 3*t^7.321 + 7*t^7.428 - 2*t^7.625 + 14*t^7.732 + 9*t^7.929 - 12*t^8.036 + 22*t^8.143 + 2*t^8.339 + 8*t^8.446 + 5*t^8.643 + 9*t^8.75 + 4*t^8.84 + 7*t^8.857 - 14*t^8.947 - t^4.321/y - (3*t^6.357)/y + (3*t^7.071)/y - (2*t^7.268)/y + (2*t^7.375)/y + (3*t^7.679)/y + (6*t^7.982)/y + (3*t^8.286)/y - (3*t^8.393)/y + (2*t^8.589)/y + (6*t^8.696)/y + t^8.893/y - t^4.321*y - 3*t^6.357*y + 3*t^7.071*y - 2*t^7.268*y + 2*t^7.375*y + 3*t^7.679*y + 6*t^7.982*y + 3*t^8.286*y - 3*t^8.393*y + 2*t^8.589*y + 6*t^8.696*y + t^8.893*y	(g2^2*t^2.036)/g1^2 + g2^6*t^2.036 + g1^2*g2^10*t^2.036 + t^2.643/g2^4 + t^2.947/(g1*g2^11) + (g1*t^2.947)/g2^7 + g2^4*t^3.357 + t^3.661/(g1*g2^3) + g1*g2*t^3.661 + (g2^4*t^4.071)/g1^4 + (g2^8*t^4.071)/g1^2 + 3*g2^12*t^4.071 + g1^2*g2^16*t^4.071 + g1^4*g2^20*t^4.071 + (g2^5*t^4.375)/g1 + g1*g2^9*t^4.375 + t^4.679/(g1^2*g2^2) + g2^2*t^4.679 + g1^2*g2^6*t^4.679 + g2^20*t^4.785 + t^4.982/(g1^3*g2^9) + (2*t^4.982)/(g1*g2^5) + (2*g1*t^4.982)/g2 + g1^3*g2^3*t^4.982 + t^5.286/g2^8 + (g2^6*t^5.393)/g1^2 + g2^10*t^5.393 + g1^2*g2^14*t^5.393 + t^5.696/(g1^3*g2) + (2*g2^3*t^5.696)/g1 + 2*g1*g2^7*t^5.696 + g1^3*g2^11*t^5.696 + t^5.893/(g1^2*g2^22) + t^5.893/g2^18 + (g1^2*t^5.893)/g2^14 - 2*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + (g2^6*t^6.107)/g1^6 + (g2^10*t^6.107)/g1^4 + (3*g2^14*t^6.107)/g1^2 + 3*g2^18*t^6.107 + 3*g1^2*g2^22*t^6.107 + g1^4*g2^26*t^6.107 + g1^6*g2^30*t^6.107 + t^6.304/(g1*g2^7) + (g1*t^6.304)/g2^3 + (g2^7*t^6.411)/g1^3 + (g2^11*t^6.411)/g1 + g1*g2^15*t^6.411 + g1^3*g2^19*t^6.411 + t^6.607/(g1^2*g2^14) + t^6.607/g2^10 + (g1^2*t^6.607)/g2^6 + t^6.714/g1^4 + (g2^4*t^6.714)/g1^2 + 2*g2^8*t^6.714 + g1^2*g2^12*t^6.714 + g1^4*g2^16*t^6.714 + (g2^22*t^6.821)/g1^2 + g2^26*t^6.821 + g1^2*g2^30*t^6.821 - t^6.911/(g1*g2^17) - (g1*t^6.911)/g2^13 + t^7.018/(g1^5*g2^7) + (2*t^7.018)/(g1^3*g2^3) + (4*g2*t^7.018)/g1 + 4*g1*g2^5*t^7.018 + 2*g1^3*g2^9*t^7.018 + g1^5*g2^13*t^7.018 + t^7.321/(g1^2*g2^6) + t^7.321/g2^2 + g1^2*g2^2*t^7.321 + (g2^8*t^7.428)/g1^4 + (g2^12*t^7.428)/g1^2 + 3*g2^16*t^7.428 + g1^2*g2^20*t^7.428 + g1^4*g2^24*t^7.428 - t^7.625/(g1*g2^9) - (g1*t^7.625)/g2^5 + (g2*t^7.732)/g1^5 + (2*g2^5*t^7.732)/g1^3 + (4*g2^9*t^7.732)/g1 + 4*g1*g2^13*t^7.732 + 2*g1^3*g2^17*t^7.732 + g1^5*g2^21*t^7.732 + t^7.929/(g1^4*g2^20) + (2*t^7.929)/(g1^2*g2^16) + (3*t^7.929)/g2^12 + (2*g1^2*t^7.929)/g2^8 + (g1^4*t^7.929)/g2^4 - t^8.036/(g1^4*g2^2) - (3*g2^2*t^8.036)/g1^2 - 4*g2^6*t^8.036 - 3*g1^2*g2^10*t^8.036 - g1^4*g2^14*t^8.036 + (g2^8*t^8.143)/g1^8 + (g2^12*t^8.143)/g1^6 + (3*g2^16*t^8.143)/g1^4 + (3*g2^20*t^8.143)/g1^2 + 6*g2^24*t^8.143 + 3*g1^2*g2^28*t^8.143 + 3*g1^4*g2^32*t^8.143 + g1^6*g2^36*t^8.143 + g1^8*g2^40*t^8.143 + t^8.339/(g1^3*g2^5) + g1^3*g2^7*t^8.339 + (g2^9*t^8.446)/g1^5 + (g2^13*t^8.446)/g1^3 + (2*g2^17*t^8.446)/g1 + 2*g1*g2^21*t^8.446 + g1^3*g2^25*t^8.446 + g1^5*g2^29*t^8.446 + g1^2*t^8.643 + t^8.643/(g1^4*g2^12) + t^8.643/(g1^2*g2^8) + t^8.643/g2^4 + g1^4*g2^4*t^8.643 + (g2^2*t^8.75)/g1^6 + (g2^6*t^8.75)/g1^4 + (2*g2^10*t^8.75)/g1^2 + g2^14*t^8.75 + 2*g1^2*g2^18*t^8.75 + g1^4*g2^22*t^8.75 + g1^6*g2^26*t^8.75 + t^8.84/(g1^3*g2^33) + t^8.84/(g1*g2^29) + (g1*t^8.84)/g2^25 + (g1^3*t^8.84)/g2^21 + (g2^24*t^8.857)/g1^4 + (g2^28*t^8.857)/g1^2 + 3*g2^32*t^8.857 + g1^2*g2^36*t^8.857 + g1^4*g2^40*t^8.857 - (2*t^8.947)/(g1^3*g2^15) - (5*t^8.947)/(g1*g2^11) - (5*g1*t^8.947)/g2^7 - (2*g1^3*t^8.947)/g2^3 - t^4.321/(g2^2*y) - t^6.357/(g1^2*y) - (g2^4*t^6.357)/y - (g1^2*g2^8*t^6.357)/y + (g2^8*t^7.071)/(g1^2*y) + (g2^12*t^7.071)/y + (g1^2*g2^16*t^7.071)/y - t^7.268/(g1*g2^13*y) - (g1*t^7.268)/(g2^9*y) + (g2^5*t^7.375)/(g1*y) + (g1*g2^9*t^7.375)/y + t^7.679/(g1^2*g2^2*y) + (g2^2*t^7.679)/y + (g1^2*g2^6*t^7.679)/y + t^7.982/(g1^3*g2^9*y) + (2*t^7.982)/(g1*g2^5*y) + (2*g1*t^7.982)/(g2*y) + (g1^3*g2^3*t^7.982)/y + t^8.286/(g1^2*g2^12*y) + t^8.286/(g2^8*y) + (g1^2*t^8.286)/(g2^4*y) - (g2^2*t^8.393)/(g1^4*y) - (g2^10*t^8.393)/y - (g1^4*g2^18*t^8.393)/y + t^8.589/(g1*g2^15*y) + (g1*t^8.589)/(g2^11*y) + t^8.696/(g1^3*g2*y) + (2*g2^3*t^8.696)/(g1*y) + (2*g1*g2^7*t^8.696)/y + (g1^3*g2^11*t^8.696)/y + t^8.893/(g2^18*y) - (t^4.321*y)/g2^2 - (t^6.357*y)/g1^2 - g2^4*t^6.357*y - g1^2*g2^8*t^6.357*y + (g2^8*t^7.071*y)/g1^2 + g2^12*t^7.071*y + g1^2*g2^16*t^7.071*y - (t^7.268*y)/(g1*g2^13) - (g1*t^7.268*y)/g2^9 + (g2^5*t^7.375*y)/g1 + g1*g2^9*t^7.375*y + (t^7.679*y)/(g1^2*g2^2) + g2^2*t^7.679*y + g1^2*g2^6*t^7.679*y + (t^7.982*y)/(g1^3*g2^9) + (2*t^7.982*y)/(g1*g2^5) + (2*g1*t^7.982*y)/g2 + g1^3*g2^3*t^7.982*y + (t^8.286*y)/(g1^2*g2^12) + (t^8.286*y)/g2^8 + (g1^2*t^8.286*y)/g2^4 - (g2^2*t^8.393*y)/g1^4 - g2^10*t^8.393*y - g1^4*g2^18*t^8.393*y + (t^8.589*y)/(g1*g2^15) + (g1*t^8.589*y)/g2^11 + (t^8.696*y)/(g1^3*g2) + (2*g2^3*t^8.696*y)/g1 + 2*g1*g2^7*t^8.696*y + g1^3*g2^11*t^8.696*y + (t^8.893*y)/g2^18

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
55286	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$	0.7228	0.9222	0.7838	[M:[0.9709, 0.9709, 1.124, 0.6861, 0.6861, 0.6861, 0.876], q:[0.5911, 0.438], qb:[0.438, 0.781], phi:[0.438]]	3*t^2.058 + 2*t^2.628 + 2*t^2.913 + 2*t^3.657 + 7*t^4.116 + 2*t^4.401 + 6*t^4.686 + t^4.861 + 6*t^4.971 + 3*t^5.256 + 2*t^5.541 + 6*t^5.715 + 3*t^5.826 - 5*t^6. - t^4.314/y - t^4.314*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
46367	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6912	0.864	0.8	[M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]]	t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y	detail