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
227	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$	0.7407	0.9101	0.8139	[M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]]	[M:[[0, 0, 0], [0, -4, -4], [1, -4, 0], [-1, 0, -4]], q:[[-1, 0, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$	${}M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	-1	t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - 2*t^6.421 + 3*t^6.448 + t^6.475 + 2*t^6.842 + 9*t^6.869 + 3*t^6.896 + 11*t^7.29 + 7*t^7.317 + 8*t^7.71 + 11*t^7.738 - 4*t^8.158 - t^8.552 - 6*t^8.579 + 3*t^8.606 + t^8.634 - t^4.29/y - t^6.448/y - (3*t^6.869)/y + (3*t^7.71)/y + (3*t^7.738)/y + t^8.131/y + (4*t^8.158)/y + (5*t^8.579)/y - t^8.606/y - t^4.29*y - t^6.448*y - 3*t^6.869*y + 3*t^7.71*y + 3*t^7.738*y + t^8.131*y + 4*t^8.158*y + 5*t^8.579*y - t^8.606*y	t^2.158/(g2^4*g3^4) + (g1*t^2.579)/g2^4 + t^2.579/(g1*g3^4) + t^2.579/(g2^2*g3^2) + t^3. + g1*g2^4*t^3.421 + (g3^4*t^3.421)/g1 + t^4.29/(g2*g3) + t^4.29/(g1^2*g2*g3) + (g1^2*t^4.29)/(g2*g3) + t^4.317/(g2^8*g3^8) + (g2^3*t^4.71)/(g1*g3) + (g1*g2^3*t^4.71)/g3 + (g3^3*t^4.71)/(g1*g2) + (g1*g3^3*t^4.71)/g2 + t^4.738/(g1*g2^4*g3^8) + t^4.738/(g2^6*g3^6) + (g1*t^4.738)/(g2^8*g3^4) + (g2^7*t^5.131)/g3 + g2^3*g3^3*t^5.131 + (g3^7*t^5.131)/g2 + (g1^2*t^5.158)/g2^8 + t^5.158/(g1^2*g3^8) + t^5.158/(g1*g2^2*g3^6) + (3*t^5.158)/(g2^4*g3^4) + (g1*t^5.158)/(g2^6*g3^2) + t^5.579/(g2^2*g3^2) - 3*t^6. + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) - (g2^4*t^6.421)/g1 - g1*g3^4*t^6.421 + t^6.448/(g2^5*g3^5) + t^6.448/(g1^2*g2^5*g3^5) + (g1^2*t^6.448)/(g2^5*g3^5) + t^6.475/(g2^12*g3^12) + g1^2*g2^8*t^6.842 + (g3^8*t^6.842)/g1^2 + t^6.869/(g1^3*g2*g3^5) + t^6.869/(g1*g2*g3^5) + (g1*t^6.869)/(g2*g3^5) + t^6.869/(g2^3*g3^3) + t^6.869/(g1^2*g2^3*g3^3) + (g1^2*t^6.869)/(g2^3*g3^3) + t^6.869/(g1*g2^5*g3) + (g1*t^6.869)/(g2^5*g3) + (g1^3*t^6.869)/(g2^5*g3) + t^6.896/(g1*g2^8*g3^12) + t^6.896/(g2^10*g3^10) + (g1*t^6.896)/(g2^12*g3^8) + (g2^3*t^7.29)/g3^5 + (g2^3*t^7.29)/(g1^2*g3^5) + (g2*t^7.29)/(g1*g3^3) + (g1*g2*t^7.29)/g3^3 + t^7.29/(g2*g3) + t^7.29/(g1^2*g2*g3) + (g1^2*t^7.29)/(g2*g3) + (g3*t^7.29)/(g1*g2^3) + (g1*g3*t^7.29)/g2^3 + (g3^3*t^7.29)/g2^5 + (g1^2*g3^3*t^7.29)/g2^5 + t^7.317/(g1^2*g2^4*g3^12) + t^7.317/(g1*g2^6*g3^10) + (3*t^7.317)/(g2^8*g3^8) + (g1*t^7.317)/(g2^10*g3^6) + (g1^2*t^7.317)/(g2^12*g3^4) + (g2^7*t^7.71)/(g1*g3^5) + (g2^5*t^7.71)/g3^3 + (g2^3*t^7.71)/(g1*g3) + (g1*g2^3*t^7.71)/g3 + (g1^3*g2^3*t^7.71)/g3 - (g2*g3*t^7.71)/g1^2 - g1^2*g2*g3*t^7.71 + (g3^3*t^7.71)/(g1^3*g2) + (g3^3*t^7.71)/(g1*g2) + (g1*g3^3*t^7.71)/g2 + (g3^5*t^7.71)/g2^3 + (g1*g3^7*t^7.71)/g2^5 + (g1^3*t^7.738)/g2^12 + t^7.738/(g1^3*g3^12) + t^7.738/(g1^2*g2^2*g3^10) + (2*t^7.738)/(g1*g2^4*g3^8) + (3*t^7.738)/(g2^6*g3^6) + (2*g1*t^7.738)/(g2^8*g3^4) + (g1^2*t^7.738)/(g2^10*g3^2) + (g2^7*t^8.131)/g3 + (g1^2*g2^7*t^8.131)/g3 - (g2^5*g3*t^8.131)/g1 - g1*g2^5*g3*t^8.131 - (g2*g3^5*t^8.131)/g1 - g1*g2*g3^5*t^8.131 + (g3^7*t^8.131)/g2 + (g3^7*t^8.131)/(g1^2*g2) - (2*t^8.158)/(g2^4*g3^4) - t^8.158/(g1^2*g2^4*g3^4) - (g1^2*t^8.158)/(g2^4*g3^4) + (g1*g2^11*t^8.552)/g3 - g2^9*g3*t^8.552 - g2^5*g3^5*t^8.552 - g2*g3^9*t^8.552 + (g3^11*t^8.552)/(g1*g2) - (4*g1*t^8.579)/g2^4 - (4*t^8.579)/(g1*g3^4) - (2*t^8.579)/(g2^2*g3^2) + t^8.579/(g1^4*g2^2*g3^2) + t^8.579/(g1^2*g2^2*g3^2) + (g1^2*t^8.579)/(g2^2*g3^2) + (g1^4*t^8.579)/(g2^2*g3^2) + t^8.606/(g2^9*g3^9) + t^8.606/(g1^2*g2^9*g3^9) + (g1^2*t^8.606)/(g2^9*g3^9) + t^8.634/(g2^16*g3^16) - t^4.29/(g2*g3*y) - t^6.448/(g2^5*g3^5*y) - t^6.869/(g1*g2*g3^5*y) - t^6.869/(g2^3*g3^3*y) - (g1*t^6.869)/(g2^5*g3*y) + (g2^3*t^7.71)/(g1*g3*y) + (g2*g3*t^7.71)/y + (g1*g3^3*t^7.71)/(g2*y) + t^7.738/(g1*g2^4*g3^8*y) + t^7.738/(g2^6*g3^6*y) + (g1*t^7.738)/(g2^8*g3^4*y) + (g2^3*g3^3*t^8.131)/y + t^8.158/(g1*g2^2*g3^6*y) + (2*t^8.158)/(g2^4*g3^4*y) + (g1*t^8.158)/(g2^6*g3^2*y) + t^8.579/(g1*g2^4*y) + (g1*t^8.579)/(g2^4*y) + t^8.579/(g1*g3^4*y) + (g1*t^8.579)/(g3^4*y) + t^8.579/(g2^2*g3^2*y) - t^8.606/(g2^9*g3^9*y) - (t^4.29*y)/(g2*g3) - (t^6.448*y)/(g2^5*g3^5) - (t^6.869*y)/(g1*g2*g3^5) - (t^6.869*y)/(g2^3*g3^3) - (g1*t^6.869*y)/(g2^5*g3) + (g2^3*t^7.71*y)/(g1*g3) + g2*g3*t^7.71*y + (g1*g3^3*t^7.71*y)/g2 + (t^7.738*y)/(g1*g2^4*g3^8) + (t^7.738*y)/(g2^6*g3^6) + (g1*t^7.738*y)/(g2^8*g3^4) + g2^3*g3^3*t^8.131*y + (t^8.158*y)/(g1*g2^2*g3^6) + (2*t^8.158*y)/(g2^4*g3^4) + (g1*t^8.158*y)/(g2^6*g3^2) + (t^8.579*y)/(g1*g2^4) + (g1*t^8.579*y)/g2^4 + (t^8.579*y)/(g1*g3^4) + (g1*t^8.579*y)/g3^4 + (t^8.579*y)/(g2^2*g3^2) - (t^8.606*y)/(g2^9*g3^9)

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
363	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$	0.7027	0.862	0.8151	[M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]]	t^2.601 + t^2.801 + t^2.9 + t^3. + t^3.089 + t^3.11 + t^3.199 + t^4.161 + t^4.251 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.739 + t^4.849 + t^4.959 + t^5.202 + t^5.402 + t^5.501 + t^5.601 + t^5.701 + 2*t^5.801 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y	detail
362	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$	0.7272	0.8931	0.8142	[M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]]	2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. - t^4.345/y - t^4.345*y	detail
364	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.7111	0.8727	0.8148	[M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]]	t^2.482 + t^2.655 + t^2.827 + t^3. + t^3.152 + t^3.173 + t^3.194 + t^4.089 + t^4.241 + t^4.393 + t^4.414 + t^4.565 + t^4.607 + t^4.738 + t^4.759 + t^4.932 + t^4.964 + t^5.126 + t^5.136 + 2*t^5.309 + t^5.482 + 3*t^5.655 + t^5.827 + t^5.979 - 2*t^6. - t^4.414/y - t^4.414*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
138	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.7722	0.9495	0.8132	[M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]]	5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*y	detail