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
47924	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4375	1.625	0.8846	[X:[1.3333], q:[0.4444, 0.4444], qb:[0.5556, 0.5556], phi:[0.3333]]	[X:[[0, 6]], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]]	2	{a: 23/16, c: 13/8, X1: 4/3, q1: 4/9, q2: 4/9, qb1: 5/9, qb2: 5/9, phi1: 1/3}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	11	5*t^3. + 5*t^4. + 6*t^5. + 11*t^6. + 22*t^7. + 28*t^8. - t^4./y - t^5./y - (5*t^7.)/y - (5*t^8.)/y - t^4.*y - t^5.*y - 5*t^7.*y - 5*t^8.*y	t^3./g2^9 + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + g1*g2^13*t^3. + (g2^23*t^3.)/g1 + (g1*t^4.)/g2^8 + (g2^2*t^4.)/g1 + g2^6*t^4. + g1*g2^10*t^4. + (g2^20*t^4.)/g1 + (g1*t^5.)/g2^11 + t^5./(g1*g2) + 2*g1*g2^7*t^5. + (2*g2^17*t^5.)/g1 - 2*t^6. + (g1*t^6.)/g2^14 + t^6./(g1*g2^4) + 2*g1*g2^4*t^6. + g1^2*g2^8*t^6. + (2*g2^14*t^6.)/g1 + 2*g2^18*t^6. + g1^2*g2^26*t^6. + (g2^28*t^6.)/g1^2 + g2^36*t^6. + (g2^46*t^6.)/g1^2 - t^7./g2^21 + (g1*t^7.)/g2^17 + (g1^3*t^7.)/g2^9 + t^7./(g1*g2^7) + 3*g1*g2*t^7. + 2*g1^2*g2^5*t^7. + (3*g2^11*t^7.)/g1 + 3*g2^15*t^7. + g1*g2^19*t^7. + (g2^21*t^7.)/g1^3 + g1^2*g2^23*t^7. + (2*g2^25*t^7.)/g1^2 + (g2^29*t^7.)/g1 + 2*g2^33*t^7. + (g2^43*t^7.)/g1^2 + (g1*t^8.)/g2^20 + t^8./(g1*g2^10) + (g1*t^8.)/g2^2 + 3*g1^2*g2^2*t^8. + (g2^8*t^8.)/g1 + 6*g2^12*t^8. + 3*g1^2*g2^20*t^8. + (3*g2^22*t^8.)/g1^2 + 6*g2^30*t^8. + (3*g2^40*t^8.)/g1^2 - t^4./(g2^3*y) - t^5./(g2^6*y) - t^7./(g2^12*y) - (g1*t^7.)/(g2^8*y) - (g2^2*t^7.)/(g1*y) - (g1*g2^10*t^7.)/y - (g2^20*t^7.)/(g1*y) - t^8./(g2^15*y) - (g1*t^8.)/(g2^11*y) - t^8./(g1*g2*y) - (g1*g2^7*t^8.)/y - (g2^17*t^8.)/(g1*y) - (t^4.*y)/g2^3 - (t^5.*y)/g2^6 - (t^7.*y)/g2^12 - (g1*t^7.*y)/g2^8 - (g2^2*t^7.*y)/g1 - g1*g2^10*t^7.*y - (g2^20*t^7.*y)/g1 - (t^8.*y)/g2^15 - (g1*t^8.*y)/g2^11 - (t^8.*y)/(g1*g2) - g1*g2^7*t^8.*y - (g2^17*t^8.*y)/g1

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
57573	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4381	1.6292	0.8827	[X:[1.3255], M:[0.9883], q:[0.4379, 0.4379], qb:[0.5621, 0.5386], phi:[0.3372]]	2*t^2.93 + t^2.96 + 2*t^3. + 2*t^3.94 + t^3.98 + 2*t^4.01 + 4*t^4.95 + 2*t^5.02 + 3*t^5.86 + 2*t^5.89 + 5*t^5.93 + 4*t^5.96 - 2*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
57574	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$	1.4383	1.6268	0.8841	[X:[1.3334], M:[0.9834], q:[0.4279, 0.4611], qb:[0.5555, 0.5557], phi:[0.3333]]	3*t^2.95 + t^3. + t^3.05 + 2*t^3.95 + t^4. + 2*t^4.05 + 3*t^4.95 + 3*t^5.05 + 5*t^5.9 + 4*t^5.95 - t^4./y - t^5./y - t^4.*y - t^5.*y	detail
57593	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$	1.1616	1.3477	0.8619	[X:[1.2554, 1.4892], M:[], q:[0.1241, 0.6349], qb:[0.6205, 0.3867], phi:[0.3723]]	t^2.23 + t^2.65 + t^3.07 + 2*t^3.35 + 4*t^3.77 + t^4.18 + 3*t^4.47 + 3*t^4.88 + 4*t^5.3 + t^5.58 + t^5.71 + 4*t^6. - t^4.12/y - t^5.23/y - t^4.12*y - t^5.23*y	detail
57592	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$	0.8958	0.964	0.9293	[X:[1.5878, 1.3818], M:[], q:[0.42, 0.893], qb:[0.3435, 1.107], phi:[0.2061]]	t^2.29 + t^2.91 + t^3.53 + t^4.15 + t^4.58 + t^4.76 + t^4.95 + t^5.2 + t^5.64 + 2*t^5.82 - 2*t^6. - t^3.62/y - t^4.24/y - t^5.91/y - t^3.62*y - t^4.24*y - t^5.91*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
47867	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$	1.4741	1.6835	0.8756	[q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]]	t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y	detail