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
124	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$	0.7247	0.8687	0.8342	[M:[0.8416, 1.1584, 0.7995], q:[0.6003, 0.5581], qb:[0.6003, 0.5581], phi:[0.4208]]	[M:[[0, -2, -2], [0, 2, 2], [1, -4, -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
${}M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}M_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$	-4	t^2.398 + t^2.525 + t^3.349 + 4*t^3.475 + 3*t^4.611 + 4*t^4.738 + t^4.797 + 3*t^4.864 + t^4.923 + t^5.05 + t^5.747 + t^5.874 - 4*t^6. - 4*t^6.126 + t^6.698 + 4*t^6.824 + 9*t^6.95 + 3*t^7.01 + 3*t^7.136 + t^7.195 + t^7.322 - t^7.389 + t^7.448 + t^7.574 + 3*t^7.96 + 9*t^8.086 + t^8.146 + 8*t^8.213 + t^8.272 + 5*t^8.339 - 4*t^8.398 - 4*t^8.525 - t^8.651 - t^4.262/y - t^6.661/y - t^6.787/y + t^7.738/y + t^7.864/y + t^7.923/y + t^8.747/y + (5*t^8.874)/y - t^4.262*y - t^6.661*y - t^6.787*y + t^7.738*y + t^7.864*y + t^7.923*y + t^8.747*y + 5*t^8.874*y	(g1*t^2.398)/(g2^4*g3^2) + t^2.525/(g2^2*g3^2) + g1*g3^2*t^3.349 + g1*g2^2*t^3.475 + 2*g2^2*g3^2*t^3.475 + (g2^2*g3^4*t^3.475)/g1 + (g1^2*t^4.611)/(g2*g3) + (g1*g3*t^4.611)/g2 + (g3^3*t^4.611)/g2 + (g1*g2*t^4.738)/g3 + 2*g2*g3*t^4.738 + (g2*g3^3*t^4.738)/g1 + (g1^2*t^4.797)/(g2^8*g3^4) + (g2^3*t^4.864)/g3 + (g2^3*g3*t^4.864)/g1 + (g2^3*g3^3*t^4.864)/g1^2 + (g1*t^4.923)/(g2^6*g3^4) + t^5.05/(g2^4*g3^4) + (g1^2*t^5.747)/g2^4 + (g1*t^5.874)/g2^2 - 2*t^6. - (g1*t^6.)/g3^2 - (g3^2*t^6.)/g1 - (2*g2^2*t^6.126)/g1 - (g2^2*t^6.126)/g3^2 - (g2^2*g3^2*t^6.126)/g1^2 + g1^2*g3^4*t^6.698 + g1^2*g2^2*g3^2*t^6.824 + 2*g1*g2^2*g3^4*t^6.824 + g2^2*g3^6*t^6.824 + g1^2*g2^4*t^6.95 + 2*g1*g2^4*g3^2*t^6.95 + 3*g2^4*g3^4*t^6.95 + (2*g2^4*g3^6*t^6.95)/g1 + (g2^4*g3^8*t^6.95)/g1^2 + (g1^3*t^7.01)/(g2^5*g3^3) + (g1^2*t^7.01)/(g2^5*g3) + (g1*g3*t^7.01)/g2^5 + (g1^2*t^7.136)/(g2^3*g3^3) + (g1*t^7.136)/(g2^3*g3) + (g3*t^7.136)/g2^3 + (g1^3*t^7.195)/(g2^12*g3^6) + (g1^2*t^7.322)/(g2^10*g3^6) - (g2*t^7.389)/(g1*g3) + (g1*t^7.448)/(g2^8*g3^6) + t^7.574/(g2^6*g3^6) + (g1^3*g3*t^7.96)/g2 + (g1^2*g3^3*t^7.96)/g2 + (g1*g3^5*t^7.96)/g2 + (g1^3*g2*t^8.086)/g3 + 2*g1^2*g2*g3*t^8.086 + 3*g1*g2*g3^3*t^8.086 + 2*g2*g3^5*t^8.086 + (g2*g3^7*t^8.086)/g1 + (g1^3*t^8.146)/(g2^8*g3^2) + (g1^2*g2^3*t^8.213)/g3 + 2*g1*g2^3*g3*t^8.213 + 2*g2^3*g3^3*t^8.213 + (2*g2^3*g3^5*t^8.213)/g1 + (g2^3*g3^7*t^8.213)/g1^2 + (g1^2*t^8.272)/(g2^6*g3^2) + (g1*g2^5*t^8.339)/g3 + g2^5*g3*t^8.339 + (g2^5*g3^3*t^8.339)/g1 + (g2^5*g3^5*t^8.339)/g1^2 + (g2^5*g3^7*t^8.339)/g1^3 - t^8.398/g2^4 - (g1^2*t^8.398)/(g2^4*g3^4) - (2*g1*t^8.398)/(g2^4*g3^2) - t^8.525/(g1*g2^2) - (g1*t^8.525)/(g2^2*g3^4) - (2*t^8.525)/(g2^2*g3^2) - t^8.651/(g1*g3^2) - t^4.262/(g2*g3*y) - (g1*t^6.661)/(g2^5*g3^3*y) - t^6.787/(g2^3*g3^3*y) + (g2*g3*t^7.738)/y + (g2^3*g3*t^7.864)/(g1*y) + (g1*t^7.923)/(g2^6*g3^4*y) + (g1^2*t^8.747)/(g2^4*y) + (3*g1*t^8.874)/(g2^2*y) + (g1^2*t^8.874)/(g2^2*g3^2*y) + (g3^2*t^8.874)/(g2^2*y) - (t^4.262*y)/(g2*g3) - (g1*t^6.661*y)/(g2^5*g3^3) - (t^6.787*y)/(g2^3*g3^3) + g2*g3*t^7.738*y + (g2^3*g3*t^7.864*y)/g1 + (g1*t^7.923*y)/(g2^6*g3^4) + (g1^2*t^8.747*y)/g2^4 + (3*g1*t^8.874*y)/g2^2 + (g1^2*t^8.874*y)/(g2^2*g3^2) + (g3^2*t^8.874*y)/g2^2

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
201	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$	0.7232	0.8641	0.8369	[M:[0.837, 1.163, 0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]]	2*t^2.511 + 5*t^3.489 + 10*t^4.745 + 3*t^5.022 - 6*t^6. - t^4.255/y - t^4.255*y	detail
203	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.7382	0.8885	0.8308	[M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*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
78	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.7103	0.8462	0.8394	[M:[0.8699, 1.1301], q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]]	t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. - t^4.305/y - t^4.305*y	detail