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
134	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$	0.694	0.8411	0.8251	[M:[0.6741, 0.9479, 1.0521], q:[0.7973, 0.5287], qb:[0.5261, 0.5261], phi:[0.4055]]	[M:[[-8, -1, -1], [0, -7, -7], [0, 7, 7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}$	-5	t^2.022 + t^2.433 + t^3.156 + 2*t^3.164 + 2*t^3.97 + t^4.045 + 3*t^4.373 + 2*t^4.381 + t^4.388 + t^4.455 + t^4.866 + t^5.179 + 2*t^5.186 + t^5.589 + 2*t^5.597 - 5*t^6. - 2*t^6.008 + t^6.067 + t^6.313 + 2*t^6.321 + 3*t^6.328 + 3*t^6.395 + 2*t^6.403 + t^6.478 + 2*t^6.806 + t^6.821 + t^6.888 + 2*t^7.126 + 3*t^7.134 + t^7.201 - 4*t^7.216 - 2*t^7.224 + t^7.299 + 3*t^7.529 + 6*t^7.537 + 4*t^7.545 + 2*t^7.553 + t^7.612 + 2*t^7.619 - 2*t^7.948 - t^7.955 - 4*t^8.022 + t^8.089 + t^8.335 + 6*t^8.343 + 3*t^8.351 + 3*t^8.417 - 5*t^8.433 - 2*t^8.441 + t^8.5 + 6*t^8.746 + 4*t^8.753 + 5*t^8.761 + 2*t^8.769 + t^8.777 + 3*t^8.828 + 2*t^8.836 + 3*t^8.844 + t^8.91 - t^4.216/y - t^6.239/y - t^6.649/y + t^7.455/y + t^7.784/y + t^8.179/y + (2*t^8.186)/y + t^8.194/y - t^8.261/y + t^8.589/y + (2*t^8.597)/y - t^8.672/y + (2*t^8.992)/y - t^4.216*y - t^6.239*y - t^6.649*y + t^7.455*y + t^7.784*y + t^8.179*y + 2*t^8.186*y + t^8.194*y - t^8.261*y + t^8.589*y + 2*t^8.597*y - t^8.672*y + 2*t^8.992*y	t^2.022/(g1^8*g2*g3) + t^2.433/(g1^4*g2^4*g3^4) + g2^7*g3^7*t^3.156 + g1^7*g2^7*t^3.164 + g1^7*g3^7*t^3.164 + g1*g2^8*g3*t^3.97 + g1*g2*g3^8*t^3.97 + t^4.045/(g1^16*g2^2*g3^2) + (g2^12*t^4.373)/(g1^2*g3^2) + (g2^5*g3^5*t^4.373)/g1^2 + (g3^12*t^4.373)/(g1^2*g2^2) + (g1^5*g2^5*t^4.381)/g3^2 + (g1^5*g3^5*t^4.381)/g2^2 + (g1^12*t^4.388)/(g2^2*g3^2) + t^4.455/(g1^12*g2^5*g3^5) + t^4.866/(g1^8*g2^8*g3^8) + (g2^6*g3^6*t^5.179)/g1^8 + (g2^6*t^5.186)/(g1*g3) + (g3^6*t^5.186)/(g1*g2) + (g2^3*g3^3*t^5.589)/g1^4 + (g1^3*g2^3*t^5.597)/g3^4 + (g1^3*g3^3*t^5.597)/g2^4 - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 - (g1^7*t^6.008)/g2^7 - (g1^7*t^6.008)/g3^7 + t^6.067/(g1^24*g2^3*g3^3) + g2^14*g3^14*t^6.313 + g1^7*g2^14*g3^7*t^6.321 + g1^7*g2^7*g3^14*t^6.321 + g1^14*g2^14*t^6.328 + g1^14*g2^7*g3^7*t^6.328 + g1^14*g3^14*t^6.328 + (g2^11*t^6.395)/(g1^10*g3^3) + (g2^4*g3^4*t^6.395)/g1^10 + (g3^11*t^6.395)/(g1^10*g2^3) + (g2^4*t^6.403)/(g1^3*g3^3) + (g3^4*t^6.403)/(g1^3*g2^3) + t^6.478/(g1^20*g2^6*g3^6) + (g2^8*t^6.806)/(g1^6*g3^6) + (g3^8*t^6.806)/(g1^6*g2^6) + (g1^8*t^6.821)/(g2^6*g3^6) + t^6.888/(g1^16*g2^9*g3^9) + g1*g2^15*g3^8*t^7.126 + g1*g2^8*g3^15*t^7.126 + g1^8*g2^15*g3*t^7.134 + g1^8*g2^8*g3^8*t^7.134 + g1^8*g2*g3^15*t^7.134 + (g2^5*g3^5*t^7.201)/g1^16 - (g2^5*t^7.216)/(g1^2*g3^9) - (2*t^7.216)/(g1^2*g2^2*g3^2) - (g3^5*t^7.216)/(g1^2*g2^9) - (g1^5*t^7.224)/(g2^2*g3^9) - (g1^5*t^7.224)/(g2^9*g3^2) + t^7.299/(g1^12*g2^12*g3^12) + (g2^19*g3^5*t^7.529)/g1^2 + (g2^12*g3^12*t^7.529)/g1^2 + (g2^5*g3^19*t^7.529)/g1^2 + (g1^5*g2^19*t^7.537)/g3^2 + 2*g1^5*g2^12*g3^5*t^7.537 + 2*g1^5*g2^5*g3^12*t^7.537 + (g1^5*g3^19*t^7.537)/g2^2 + (g1^12*g2^12*t^7.545)/g3^2 + 2*g1^12*g2^5*g3^5*t^7.545 + (g1^12*g3^12*t^7.545)/g2^2 + (g1^19*g2^5*t^7.553)/g3^2 + (g1^19*g3^5*t^7.553)/g2^2 + (g2^2*g3^2*t^7.612)/g1^12 + (g2^2*t^7.619)/(g1^5*g3^5) + (g3^2*t^7.619)/(g1^5*g2^5) - g1^9*g2^9*g3^2*t^7.948 - g1^9*g2^2*g3^9*t^7.948 - g1^16*g2^2*g3^2*t^7.955 - (g2^6*t^8.022)/(g1^8*g3^8) - (2*t^8.022)/(g1^8*g2*g3) - (g3^6*t^8.022)/(g1^8*g2^8) + t^8.089/(g1^32*g2^4*g3^4) + (g2^13*g3^13*t^8.335)/g1^8 + (g2^20*t^8.343)/(g1*g3) + (2*g2^13*g3^6*t^8.343)/g1 + (2*g2^6*g3^13*t^8.343)/g1 + (g3^20*t^8.343)/(g1*g2) + (g1^6*g2^13*t^8.351)/g3 + g1^6*g2^6*g3^6*t^8.351 + (g1^6*g3^13*t^8.351)/g2 + (g2^10*t^8.417)/(g1^18*g3^4) + (g2^3*g3^3*t^8.417)/g1^18 + (g3^10*t^8.417)/(g1^18*g2^4) - (g2^3*t^8.433)/(g1^4*g3^11) - (3*t^8.433)/(g1^4*g2^4*g3^4) - (g3^3*t^8.433)/(g1^4*g2^11) - (g1^3*t^8.441)/(g2^4*g3^11) - (g1^3*t^8.441)/(g2^11*g3^4) + t^8.5/(g1^28*g2^7*g3^7) + (g2^24*t^8.746)/(g1^4*g3^4) + (g2^17*g3^3*t^8.746)/g1^4 + (2*g2^10*g3^10*t^8.746)/g1^4 + (g2^3*g3^17*t^8.746)/g1^4 + (g3^24*t^8.746)/(g1^4*g2^4) + (g1^3*g2^17*t^8.753)/g3^4 + g1^3*g2^10*g3^3*t^8.753 + g1^3*g2^3*g3^10*t^8.753 + (g1^3*g3^17*t^8.753)/g2^4 + (2*g1^10*g2^10*t^8.761)/g3^4 + g1^10*g2^3*g3^3*t^8.761 + (2*g1^10*g3^10*t^8.761)/g2^4 + (g1^17*g2^3*t^8.769)/g3^4 + (g1^17*g3^3*t^8.769)/g2^4 + (g1^24*t^8.777)/(g2^4*g3^4) + t^8.828/g1^14 + (g2^7*t^8.828)/(g1^14*g3^7) + (g3^7*t^8.828)/(g1^14*g2^7) + t^8.836/(g1^7*g2^7) + t^8.836/(g1^7*g3^7) + t^8.844/g2^14 + t^8.844/g3^14 + t^8.844/(g2^7*g3^7) + t^8.91/(g1^24*g2^10*g3^10) - t^4.216/(g1^2*g2^2*g3^2*y) - t^6.239/(g1^10*g2^3*g3^3*y) - t^6.649/(g1^6*g2^6*g3^6*y) + t^7.455/(g1^12*g2^5*g3^5*y) + (g1^2*g2^2*g3^2*t^7.784)/y + (g2^6*g3^6*t^8.179)/(g1^8*y) + (g2^6*t^8.186)/(g1*g3*y) + (g3^6*t^8.186)/(g1*g2*y) + (g1^6*t^8.194)/(g2*g3*y) - t^8.261/(g1^18*g2^4*g3^4*y) + (g2^3*g3^3*t^8.589)/(g1^4*y) + (g1^3*g2^3*t^8.597)/(g3^4*y) + (g1^3*g3^3*t^8.597)/(g2^4*y) - t^8.672/(g1^14*g2^7*g3^7*y) + (g2^7*t^8.992)/(g1^7*y) + (g3^7*t^8.992)/(g1^7*y) - (t^4.216*y)/(g1^2*g2^2*g3^2) - (t^6.239*y)/(g1^10*g2^3*g3^3) - (t^6.649*y)/(g1^6*g2^6*g3^6) + (t^7.455*y)/(g1^12*g2^5*g3^5) + g1^2*g2^2*g3^2*t^7.784*y + (g2^6*g3^6*t^8.179*y)/g1^8 + (g2^6*t^8.186*y)/(g1*g3) + (g3^6*t^8.186*y)/(g1*g2) + (g1^6*t^8.194*y)/(g2*g3) - (t^8.261*y)/(g1^18*g2^4*g3^4) + (g2^3*g3^3*t^8.589*y)/g1^4 + (g1^3*g2^3*t^8.597*y)/g3^4 + (g1^3*g3^3*t^8.597*y)/g2^4 - (t^8.672*y)/(g1^14*g2^7*g3^7) + (g2^7*t^8.992*y)/g1^7 + (g3^7*t^8.992*y)/g1^7

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
1717	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.7148	0.8821	0.8104	[M:[0.6739, 0.9454, 1.0546, 0.6739], q:[0.7976, 0.5285], qb:[0.5285, 0.526], phi:[0.4048]]	2*t^2.022 + t^2.429 + 2*t^3.164 + t^3.171 + t^3.971 + 3*t^4.043 + t^4.371 + 2*t^4.378 + 3*t^4.386 + 2*t^4.451 + t^4.858 + 4*t^5.185 + 2*t^5.193 + 2*t^5.593 + t^5.6 - 5*t^6. - t^4.214/y - t^4.214*y	detail
225	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$	0.644	0.812	0.7931	[M:[0.8115, 1.1885, 0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]]	2*t^2.435 + 2*t^2.533 + t^3. + 2*t^3.467 + 3*t^3.935 + 2*t^4.033 + t^4.131 + 3*t^4.869 + 4*t^4.967 + 3*t^5.065 + 2*t^5.435 + 2*t^5.533 + 2*t^5.902 - t^6. - t^4.5/y - t^4.5*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
81	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.7025	0.8516	0.8249	[M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]]	t^2.025 + t^2.315 + t^2.605 + 2*t^3.251 + t^4.051 + 2*t^4.119 + t^4.264 + t^4.34 + 2*t^4.409 + 3*t^4.553 + 2*t^4.63 + t^4.92 + t^5.209 + 2*t^5.276 + 2*t^5.566 - 5*t^6. - t^4.157/y - t^4.157*y	detail