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
45875	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	0.7566	0.9235	0.8193	[M:[0.7979, 0.7634, 0.7634], q:[0.5665, 0.6356], qb:[0.601, 0.601], phi:[0.399]]	[M:[[0, -2, -2], [-1, -2, 0], [-1, 0, -2]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$	-4	2*t^2.29 + 2*t^2.394 + 2*t^3.503 + t^3.606 + 3*t^4.58 + t^4.596 + 4*t^4.684 + 2*t^4.699 + 3*t^4.788 + 4*t^4.803 + 2*t^4.907 + t^5.01 + 3*t^5.793 + 2*t^5.896 - 4*t^6. - 4*t^6.104 - t^6.207 + 4*t^6.871 + 2*t^6.886 + 6*t^6.974 + 5*t^6.99 + 3*t^7.005 + 6*t^7.078 + 8*t^7.093 + 2*t^7.109 + 4*t^7.181 + 7*t^7.197 + 2*t^7.301 + t^7.404 + 4*t^8.083 + 2*t^8.098 + 2*t^8.187 + 3*t^8.202 - 8*t^8.29 + 4*t^8.306 - 13*t^8.394 - t^8.409 - 8*t^8.497 - 2*t^8.513 - t^8.601 - t^8.617 - t^4.197/y - (2*t^6.487)/y - (2*t^6.591)/y + t^7.58/y + (4*t^7.684)/y + t^7.788/y + (2*t^7.803)/y + (2*t^7.907)/y - (3*t^8.777)/y + (4*t^8.793)/y - (4*t^8.881)/y + (6*t^8.896)/y - (3*t^8.985)/y - t^4.197*y - 2*t^6.487*y - 2*t^6.591*y + t^7.58*y + 4*t^7.684*y + t^7.788*y + 2*t^7.803*y + 2*t^7.907*y - 3*t^8.777*y + 4*t^8.793*y - 4*t^8.881*y + 6*t^8.896*y - 3*t^8.985*y	t^2.29/(g1*g2^2) + t^2.29/(g1*g3^2) + (2*t^2.394)/(g2^2*g3^2) + (g2^4*g3^2*t^3.503)/g1 + (g2^2*g3^4*t^3.503)/g1 + g2^2*g3^2*t^3.606 + t^4.58/(g1^2*g2^4) + t^4.58/(g1^2*g3^4) + t^4.58/(g1^2*g2^2*g3^2) + (g2^3*g3^3*t^4.596)/g1^2 + (2*t^4.684)/(g1*g2^2*g3^4) + (2*t^4.684)/(g1*g2^4*g3^2) + (g2^3*g3*t^4.699)/g1 + (g2*g3^3*t^4.699)/g1 + (3*t^4.788)/(g2^4*g3^4) + (g2^3*t^4.803)/g3 + 2*g2*g3*t^4.803 + (g3^3*t^4.803)/g2 + (g1*g2*t^4.907)/g3 + (g1*g3*t^4.907)/g2 + (g1^2*t^5.01)/(g2*g3) + (g2^4*t^5.793)/g1^2 + (g2^2*g3^2*t^5.793)/g1^2 + (g3^4*t^5.793)/g1^2 + (g2^2*t^5.896)/g1 + (g3^2*t^5.896)/g1 - 2*t^6. - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - (2*g1*t^6.104)/g2^2 - (2*g1*t^6.104)/g3^2 - (g1^2*t^6.207)/(g2^2*g3^2) + t^6.871/(g1^3*g2^6) + t^6.871/(g1^3*g3^6) + t^6.871/(g1^3*g2^2*g3^4) + t^6.871/(g1^3*g2^4*g3^2) + (g2^3*g3*t^6.886)/g1^3 + (g2*g3^3*t^6.886)/g1^3 + (2*t^6.974)/(g1^2*g2^2*g3^6) + (2*t^6.974)/(g1^2*g2^4*g3^4) + (2*t^6.974)/(g1^2*g2^6*g3^2) + (g2^3*t^6.99)/(g1^2*g3) + (3*g2*g3*t^6.99)/g1^2 + (g3^3*t^6.99)/(g1^2*g2) + (g2^8*g3^4*t^7.005)/g1^2 + (g2^6*g3^6*t^7.005)/g1^2 + (g2^4*g3^8*t^7.005)/g1^2 + (3*t^7.078)/(g1*g2^4*g3^6) + (3*t^7.078)/(g1*g2^6*g3^4) + (g2^3*t^7.093)/(g1*g3^3) + (3*g2*t^7.093)/(g1*g3) + (3*g3*t^7.093)/(g1*g2) + (g3^3*t^7.093)/(g1*g2^3) + (g2^6*g3^4*t^7.109)/g1 + (g2^4*g3^6*t^7.109)/g1 + (4*t^7.181)/(g2^6*g3^6) + (2*g2*t^7.197)/g3^3 + (3*t^7.197)/(g2*g3) + (2*g3*t^7.197)/g2^3 + (g1*t^7.301)/(g2*g3^3) + (g1*t^7.301)/(g2^3*g3) + (g1^2*t^7.404)/(g2^3*g3^3) + (g2^2*t^8.083)/g1^3 + (g2^4*t^8.083)/(g1^3*g3^2) + (g3^2*t^8.083)/g1^3 + (g3^4*t^8.083)/(g1^3*g2^2) + (g2^7*g3^5*t^8.098)/g1^3 + (g2^5*g3^7*t^8.098)/g1^3 + (g2^2*t^8.187)/(g1^2*g3^2) + (g3^2*t^8.187)/(g1^2*g2^2) + (g2^7*g3^3*t^8.202)/g1^2 + (g2^5*g3^5*t^8.202)/g1^2 + (g2^3*g3^7*t^8.202)/g1^2 - (3*t^8.29)/(g1*g2^2) - (g2^2*t^8.29)/(g1*g3^4) - (3*t^8.29)/(g1*g3^2) - (g3^2*t^8.29)/(g1*g2^4) + (g2^7*g3*t^8.306)/g1 + (g2^5*g3^3*t^8.306)/g1 + (g2^3*g3^5*t^8.306)/g1 + (g2*g3^7*t^8.306)/g1 - (3*t^8.394)/g2^4 - (3*t^8.394)/g3^4 - (7*t^8.394)/(g2^2*g3^2) - g2^3*g3^3*t^8.409 - (4*g1*t^8.497)/(g2^2*g3^4) - (4*g1*t^8.497)/(g2^4*g3^2) - g1*g2^3*g3*t^8.513 - g1*g2*g3^3*t^8.513 - (g1^2*t^8.601)/(g2^4*g3^4) - g1^2*g2*g3*t^8.617 - t^4.197/(g2*g3*y) - t^6.487/(g1*g2*g3^3*y) - t^6.487/(g1*g2^3*g3*y) - (2*t^6.591)/(g2^3*g3^3*y) + t^7.58/(g1^2*g2^2*g3^2*y) + (2*t^7.684)/(g1*g2^2*g3^4*y) + (2*t^7.684)/(g1*g2^4*g3^2*y) + t^7.788/(g2^4*g3^4*y) + (2*g2*g3*t^7.803)/y + (g1*g2*t^7.907)/(g3*y) + (g1*g3*t^7.907)/(g2*y) - t^8.777/(g1^2*g2*g3^5*y) - t^8.777/(g1^2*g2^3*g3^3*y) - t^8.777/(g1^2*g2^5*g3*y) + (g2^4*t^8.793)/(g1^2*y) + (2*g2^2*g3^2*t^8.793)/(g1^2*y) + (g3^4*t^8.793)/(g1^2*y) - (2*t^8.881)/(g1*g2^3*g3^5*y) - (2*t^8.881)/(g1*g2^5*g3^3*y) + (3*g2^2*t^8.896)/(g1*y) + (3*g3^2*t^8.896)/(g1*y) - (3*t^8.985)/(g2^5*g3^5*y) - (t^4.197*y)/(g2*g3) - (t^6.487*y)/(g1*g2*g3^3) - (t^6.487*y)/(g1*g2^3*g3) - (2*t^6.591*y)/(g2^3*g3^3) + (t^7.58*y)/(g1^2*g2^2*g3^2) + (2*t^7.684*y)/(g1*g2^2*g3^4) + (2*t^7.684*y)/(g1*g2^4*g3^2) + (t^7.788*y)/(g2^4*g3^4) + 2*g2*g3*t^7.803*y + (g1*g2*t^7.907*y)/g3 + (g1*g3*t^7.907*y)/g2 - (t^8.777*y)/(g1^2*g2*g3^5) - (t^8.777*y)/(g1^2*g2^3*g3^3) - (t^8.777*y)/(g1^2*g2^5*g3) + (g2^4*t^8.793*y)/g1^2 + (2*g2^2*g3^2*t^8.793*y)/g1^2 + (g3^4*t^8.793*y)/g1^2 - (2*t^8.881*y)/(g1*g2^3*g3^5) - (2*t^8.881*y)/(g1*g2^5*g3^3) + (3*g2^2*t^8.896*y)/g1 + (3*g3^2*t^8.896*y)/g1 - (3*t^8.985*y)/(g2^5*g3^5)

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
46050	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$	0.7051	0.8546	0.8251	[M:[0.9277, 1.0, 1.0], q:[0.6084, 0.4639], qb:[0.5361, 0.5361], phi:[0.4639]]	2*t^2.783 + 2*t^3. + t^3.217 + 2*t^3.434 + t^4.175 + 2*t^4.392 + 4*t^4.608 + 2*t^4.825 + t^5.042 + 2*t^5.566 - t^6. - t^4.392/y - t^4.392*y	detail
46056	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	0.7737	0.9544	0.8107	[M:[0.7809, 0.7498, 0.7498, 0.7809], q:[0.5785, 0.6406], qb:[0.6095, 0.6095], phi:[0.3905]]	2*t^2.25 + 3*t^2.343 + 2*t^3.564 + 3*t^4.499 + 6*t^4.592 + t^4.642 + 6*t^4.686 + 2*t^4.735 + 4*t^4.829 + 2*t^4.922 + t^5.015 + 3*t^5.814 + 2*t^5.907 - 6*t^6. - t^4.171/y - t^4.171*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
45841	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	0.7394	0.8922	0.8287	[M:[0.8151, 0.7774], q:[0.5736, 0.6113], qb:[0.6113, 0.5736], phi:[0.4075]]	t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y	detail