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
217	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.614	0.7856	0.7817	[M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]]	[M:[[0, 0], [-8, -8], [-5, 3]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-3	t^2.173 + t^2.36 + t^2.42 + t^2.626 + 2*t^2.813 + t^3. + t^3.767 + t^3.954 + t^4.014 + t^4.346 + t^4.533 + t^4.593 + 2*t^4.72 + 2*t^4.78 + t^4.799 + 2*t^4.841 + 2*t^4.986 + 3*t^5.173 + 2*t^5.233 + t^5.252 + t^5.36 + t^5.42 + 2*t^5.439 + 4*t^5.626 + t^5.813 - 3*t^6. - t^6.06 + 2*t^6.127 + t^6.187 + t^6.314 + t^6.374 + t^6.434 - t^6.453 + t^6.519 + 2*t^6.58 + t^6.706 + 2*t^6.767 + 2*t^6.893 + t^6.954 + t^6.972 + t^7.014 + 2*t^7.08 + 2*t^7.141 + 2*t^7.159 + 2*t^7.201 + 2*t^7.261 + 3*t^7.346 + t^7.425 + 5*t^7.533 + 2*t^7.593 + 2*t^7.612 + 3*t^7.654 + 2*t^7.72 + t^7.78 + 4*t^7.799 + t^7.841 + t^7.878 + 4*t^7.986 + 3*t^8.046 + 2*t^8.065 - 2*t^8.173 + 4*t^8.252 + t^8.3 - 4*t^8.36 - 5*t^8.42 + 5*t^8.439 - t^8.481 + 3*t^8.487 - 2*t^8.626 + 2*t^8.674 + t^8.693 + 2*t^8.734 + 2*t^8.794 - 8*t^8.813 + 2*t^8.855 - 2*t^8.873 + t^8.88 + 3*t^8.94 - t^4.407/y - t^6.58/y - t^7.033/y - t^7.22/y + t^7.533/y + (2*t^7.593)/y + (2*t^7.78)/y + t^7.799/y + (3*t^7.986)/y + t^8.046/y + (3*t^8.173)/y + (3*t^8.233)/y + t^8.36/y + t^8.42/y + (2*t^8.439)/y + (2*t^8.626)/y - t^8.753/y + (2*t^8.813)/y + t^8.94/y - t^4.407*y - t^6.58*y - t^7.033*y - t^7.22*y + t^7.533*y + 2*t^7.593*y + 2*t^7.78*y + t^7.799*y + 3*t^7.986*y + t^8.046*y + 3*t^8.173*y + 3*t^8.233*y + t^8.36*y + t^8.42*y + 2*t^8.439*y + 2*t^8.626*y - t^8.753*y + 2*t^8.813*y + t^8.94*y	(g2^3*t^2.173)/g1^5 + (g2^7*t^2.36)/g1 + (g1^7*t^2.42)/g2 + t^2.626/(g1^8*g2^8) + (2*t^2.813)/(g1^4*g2^4) + t^3. + (g2^5*t^3.767)/g1^3 + g1*g2^9*t^3.954 + g1^9*g2*t^4.014 + (g2^6*t^4.346)/g1^10 + (g2^10*t^4.533)/g1^6 + g1^2*g2^2*t^4.593 + (2*g2^14*t^4.72)/g1^2 + 2*g1^6*g2^6*t^4.78 + t^4.799/(g1^13*g2^5) + (2*g1^14*t^4.841)/g2^2 + (2*t^4.986)/(g1^9*g2) + (3*g2^3*t^5.173)/g1^5 + (2*g1^3*t^5.233)/g2^5 + t^5.252/(g1^16*g2^16) + (g2^7*t^5.36)/g1 + (g1^7*t^5.42)/g2 + (2*t^5.439)/(g1^12*g2^12) + (4*t^5.626)/(g1^8*g2^8) + t^5.813/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.06)/g2^8 + (2*g2^12*t^6.127)/g1^4 + g1^4*g2^4*t^6.187 + g2^16*t^6.314 + g1^8*g2^8*t^6.374 + g1^16*t^6.434 - t^6.453/(g1^3*g2^11) + (g2^9*t^6.519)/g1^15 + (2*g2*t^6.58)/g1^7 + (g2^13*t^6.706)/g1^11 + (2*g2^5*t^6.767)/g1^3 + (2*g2^17*t^6.893)/g1^7 + g1*g2^9*t^6.954 + t^6.972/(g1^18*g2^2) + g1^9*g2*t^7.014 + (2*g2^21*t^7.08)/g1^3 + 2*g1^5*g2^13*t^7.141 + (2*g2^2*t^7.159)/g1^14 + 2*g1^13*g2^5*t^7.201 + (2*g1^21*t^7.261)/g2^3 + (3*g2^6*t^7.346)/g1^10 + t^7.425/(g1^21*g2^13) + (5*g2^10*t^7.533)/g1^6 + 2*g1^2*g2^2*t^7.593 + (2*t^7.612)/(g1^17*g2^9) + (3*g1^10*t^7.654)/g2^6 + (2*g2^14*t^7.72)/g1^2 + g1^6*g2^6*t^7.78 + (4*t^7.799)/(g1^13*g2^5) + (g1^14*t^7.841)/g2^2 + t^7.878/(g1^24*g2^24) + (4*t^7.986)/(g1^9*g2) + (3*t^8.046)/(g1*g2^9) + (2*t^8.065)/(g1^20*g2^20) - (2*g2^3*t^8.173)/g1^5 + (4*t^8.252)/(g1^16*g2^16) + (g2^15*t^8.3)/g1^9 - (4*g2^7*t^8.36)/g1 - (5*g1^7*t^8.42)/g2 + (5*t^8.439)/(g1^12*g2^12) - (g1^15*t^8.481)/g2^9 + (3*g2^19*t^8.487)/g1^5 - (2*t^8.626)/(g1^8*g2^8) + (2*g2^23*t^8.674)/g1 + (g2^12*t^8.693)/g1^20 + 2*g1^7*g2^15*t^8.734 + 2*g1^15*g2^7*t^8.794 - (8*t^8.813)/(g1^4*g2^4) + (2*g1^23*t^8.855)/g2 - (2*g1^4*t^8.873)/g2^12 + (g2^16*t^8.88)/g1^16 + (3*g2^8*t^8.94)/g1^8 - t^4.407/(g1^2*g2^2*y) - (g2*t^6.58)/(g1^7*y) - t^7.033/(g1^10*g2^10*y) - t^7.22/(g1^6*g2^6*y) + (g2^10*t^7.533)/(g1^6*y) + (2*g1^2*g2^2*t^7.593)/y + (2*g1^6*g2^6*t^7.78)/y + t^7.799/(g1^13*g2^5*y) + (3*t^7.986)/(g1^9*g2*y) + t^8.046/(g1*g2^9*y) + (3*g2^3*t^8.173)/(g1^5*y) + (3*g1^3*t^8.233)/(g2^5*y) + (g2^7*t^8.36)/(g1*y) + (g1^7*t^8.42)/(g2*y) + (2*t^8.439)/(g1^12*g2^12*y) + (2*t^8.626)/(g1^8*g2^8*y) - (g2^4*t^8.753)/(g1^12*y) + (2*t^8.813)/(g1^4*g2^4*y) + (g2^8*t^8.94)/(g1^8*y) - (t^4.407*y)/(g1^2*g2^2) - (g2*t^6.58*y)/g1^7 - (t^7.033*y)/(g1^10*g2^10) - (t^7.22*y)/(g1^6*g2^6) + (g2^10*t^7.533*y)/g1^6 + 2*g1^2*g2^2*t^7.593*y + 2*g1^6*g2^6*t^7.78*y + (t^7.799*y)/(g1^13*g2^5) + (3*t^7.986*y)/(g1^9*g2) + (t^8.046*y)/(g1*g2^9) + (3*g2^3*t^8.173*y)/g1^5 + (3*g1^3*t^8.233*y)/g2^5 + (g2^7*t^8.36*y)/g1 + (g1^7*t^8.42*y)/g2 + (2*t^8.439*y)/(g1^12*g2^12) + (2*t^8.626*y)/(g1^8*g2^8) - (g2^4*t^8.753*y)/g1^12 + (2*t^8.813*y)/(g1^4*g2^4) + (g2^8*t^8.94*y)/g1^8

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
347	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6335	0.821	0.7716	[M:[1.0, 0.8714, 0.7339, 0.7339], q:[0.7661, 0.2339], qb:[0.5643, 0.5643], phi:[0.4678]]	2*t^2.202 + 2*t^2.395 + t^2.614 + 2*t^2.807 + t^3. + 2*t^3.991 + 3*t^4.404 + 4*t^4.596 + 6*t^4.789 + 2*t^4.816 + 4*t^5.009 + 6*t^5.202 + t^5.228 + 2*t^5.395 + 2*t^5.421 + 4*t^5.614 + t^5.807 - 5*t^6. - t^4.404/y - t^4.404*y	detail
1740	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6348	0.8263	0.7683	[M:[1.0, 0.8719, 0.7258, 0.6781], q:[0.766, 0.234], qb:[0.5722, 0.5559], phi:[0.468]]	t^2.034 + t^2.178 + t^2.37 + t^2.419 + t^2.616 + 2*t^2.808 + t^3. + t^3.774 + t^4.015 + t^4.069 + t^4.212 + t^4.355 + t^4.404 + t^4.453 + t^4.547 + t^4.596 + t^4.65 + 2*t^4.739 + 2*t^4.788 + t^4.793 + 2*t^4.837 + 2*t^4.842 + 2*t^4.985 + t^5.034 + 3*t^5.178 + 2*t^5.226 + t^5.232 + t^5.37 + t^5.419 + 2*t^5.424 + 4*t^5.616 + 2*t^5.808 - 3*t^6. - t^4.404/y - t^4.404*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
130	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$	0.5943	0.7486	0.7938	[M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]]	2*t^2.387 + t^2.636 + 2*t^2.818 + t^3. + 2*t^3.796 + 2*t^3.978 + 6*t^4.773 + 4*t^5.204 + t^5.272 + 2*t^5.387 + 2*t^5.454 + 4*t^5.636 + t^5.818 - 5*t^6. - t^4.409/y - t^4.409*y	detail