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
47951	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4539	1.6446	0.884	[X:[1.3264], M:[0.9896], q:[0.5052, 0.4845], qb:[0.5052, 0.4845], phi:[0.3368]]	[X:[[0, 0, 2]], M:[[0, 0, 3]], q:[[-1, 0, -3], [0, -1, 9]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.907 + 3*t^2.969 + t^3.031 + t^3.917 + 3*t^3.979 + t^4.041 + t^4.928 + 2*t^4.99 + t^5.052 + 2*t^5.433 + 2*t^5.495 + t^5.814 + 3*t^5.876 + 5*t^5.938 - t^6. - t^6.062 + 2*t^6.443 + 2*t^6.505 + t^6.824 + 6*t^6.886 + 9*t^6.948 + 3*t^7.01 - t^7.072 + 2*t^7.391 + 2*t^7.578 + 2*t^7.834 + 7*t^7.896 + 10*t^7.959 + 5*t^8.021 + 2*t^8.34 + 6*t^8.402 + 2*t^8.464 - 4*t^8.526 - 2*t^8.588 + t^8.721 + 3*t^8.783 + 6*t^8.845 + 7*t^8.907 - 3*t^8.969 - t^4.01/y - t^5.021/y - t^6.917/y - (3*t^6.979)/y - t^7.041/y - t^7.928/y - (3*t^7.99)/y - t^8.052/y + (3*t^8.876)/y + (3*t^8.938)/y - t^4.01*y - t^5.021*y - t^6.917*y - 3*t^6.979*y - t^7.041*y - t^7.928*y - 3*t^7.99*y - t^8.052*y + 3*t^8.876*y + 3*t^8.938*y	g3^9*t^2.907 + (g2*t^2.969)/(g1*g3^3) + g3^3*t^2.969 + (g1*g3^9*t^2.969)/g2 + t^3.031/g3^3 + g3^8*t^3.917 + (g2*t^3.979)/(g1*g3^4) + g3^2*t^3.979 + (g1*g3^8*t^3.979)/g2 + t^4.041/g3^4 + g3^7*t^4.928 + (g2*t^4.99)/(g1*g3^5) + (g1*g3^7*t^4.99)/g2 + t^5.052/g3^5 + (g1*g2^2*t^5.433)/g3 + (g3^14*t^5.433)/(g1*g2^2) + (g1^2*g2*t^5.495)/g3 + (g3^2*t^5.495)/(g1^2*g2) + g3^18*t^5.814 + (g2*g3^6*t^5.876)/g1 + g3^12*t^5.876 + (g1*g3^18*t^5.876)/g2 + (g2^2*t^5.938)/(g1^2*g3^6) + 3*g3^6*t^5.938 + (g1^2*g3^18*t^5.938)/g2^2 - 3*t^6. + (g2*t^6.)/(g1*g3^6) + (g1*g3^6*t^6.)/g2 - (g1*t^6.062)/g2 - (g2*t^6.062)/(g1*g3^12) + t^6.062/g3^6 + (g1*g2^2*t^6.443)/g3^2 + (g3^13*t^6.443)/(g1*g2^2) + (g1^2*g2*t^6.505)/g3^2 + (g3*t^6.505)/(g1^2*g2) + g3^17*t^6.824 + (2*g2*g3^5*t^6.886)/g1 + 2*g3^11*t^6.886 + (2*g1*g3^17*t^6.886)/g2 + (g2^2*t^6.948)/(g1^2*g3^7) + (g2*t^6.948)/(g1*g3) + 5*g3^5*t^6.948 + (g1*g3^11*t^6.948)/g2 + (g1^2*g3^17*t^6.948)/g2^2 + (2*g2*t^7.01)/(g1*g3^7) - t^7.01/g3 + (2*g1*g3^5*t^7.01)/g2 - (g2*t^7.072)/(g1*g3^13) + t^7.072/g3^7 - (g1*t^7.072)/(g2*g3) + (g2^3*t^7.391)/g3^3 + (g3^24*t^7.391)/g2^3 + (g1*g2^2*t^7.453)/g3^3 - g1^2*g2*g3^3*t^7.453 - (g3^6*t^7.453)/(g1^2*g2) + (g3^12*t^7.453)/(g1*g2^2) + t^7.516/(g1^2*g2) - (g1*g2^2*t^7.516)/g3^9 + (g1^2*g2*t^7.516)/g3^3 - (g3^6*t^7.516)/(g1*g2^2) + t^7.578/(g1^3*g3^12) + (g1^3*t^7.578)/g3^3 + 2*g3^16*t^7.834 + (3*g2*g3^4*t^7.896)/g1 + g3^10*t^7.896 + (3*g1*g3^16*t^7.896)/g2 + (2*g2^2*t^7.959)/(g1^2*g3^8) + 6*g3^4*t^7.959 + (2*g1^2*g3^16*t^7.959)/g2^2 + (3*g2*t^8.021)/(g1*g3^8) - t^8.021/g3^2 + (3*g1*g3^4*t^8.021)/g2 - (g2*t^8.083)/(g1*g3^14) + (2*t^8.083)/g3^8 - (g1*t^8.083)/(g2*g3^2) + g1*g2^2*g3^8*t^8.34 + (g3^23*t^8.34)/(g1*g2^2) + (g2^3*t^8.402)/g3^4 + 2*g1^2*g2*g3^8*t^8.402 + (2*g3^11*t^8.402)/(g1^2*g2) + (g3^23*t^8.402)/g2^3 - (g2^3*t^8.464)/g3^10 + (2*g1*g2^2*t^8.464)/g3^4 + t^8.464/(g1^3*g3) - g1^2*g2*g3^2*t^8.464 - (g3^5*t^8.464)/(g1^2*g2) + g1^3*g3^8*t^8.464 + (2*g3^11*t^8.464)/(g1*g2^2) - (g3^17*t^8.464)/g2^3 - (2*g1*g2^2*t^8.526)/g3^10 - t^8.526/(g1^3*g3^7) + (g1^2*g2*t^8.526)/g3^4 + t^8.526/(g1^2*g2*g3) - g1^3*g3^2*t^8.526 - (2*g3^5*t^8.526)/(g1*g2^2) - (g1^2*g2*t^8.588)/g3^10 - t^8.588/(g1^2*g2*g3^7) + g3^27*t^8.721 + (g2*g3^15*t^8.783)/g1 + g3^21*t^8.783 + (g1*g3^27*t^8.783)/g2 + (g2^2*g3^3*t^8.845)/g1^2 + 4*g3^15*t^8.845 + (g1^2*g3^27*t^8.845)/g2^2 + (g2^3*t^8.907)/(g1^3*g3^9) + (4*g2*g3^3*t^8.907)/g1 - 3*g3^9*t^8.907 + (4*g1*g3^15*t^8.907)/g2 + (g1^3*g3^27*t^8.907)/g2^3 + (2*g2^2*t^8.969)/(g1^2*g3^9) - (5*g2*t^8.969)/(g1*g3^3) + 3*g3^3*t^8.969 - (5*g1*g3^9*t^8.969)/g2 + (2*g1^2*g3^15*t^8.969)/g2^2 - t^4.01/(g3*y) - t^5.021/(g3^2*y) - (g3^8*t^6.917)/y - (g2*t^6.979)/(g1*g3^4*y) - (g3^2*t^6.979)/y - (g1*g3^8*t^6.979)/(g2*y) - t^7.041/(g3^4*y) - (g3^7*t^7.928)/y - (g2*t^7.99)/(g1*g3^5*y) - (g3*t^7.99)/y - (g1*g3^7*t^7.99)/(g2*y) - t^8.052/(g3^5*y) + (g2*g3^6*t^8.876)/(g1*y) + (g3^12*t^8.876)/y + (g1*g3^18*t^8.876)/(g2*y) + (g2*t^8.938)/(g1*y) + (g3^6*t^8.938)/y + (g1*g3^12*t^8.938)/(g2*y) - (t^4.01*y)/g3 - (t^5.021*y)/g3^2 - g3^8*t^6.917*y - (g2*t^6.979*y)/(g1*g3^4) - g3^2*t^6.979*y - (g1*g3^8*t^6.979*y)/g2 - (t^7.041*y)/g3^4 - g3^7*t^7.928*y - (g2*t^7.99*y)/(g1*g3^5) - g3*t^7.99*y - (g1*g3^7*t^7.99*y)/g2 - (t^8.052*y)/g3^5 + (g2*g3^6*t^8.876*y)/g1 + g3^12*t^8.876*y + (g1*g3^18*t^8.876*y)/g2 + (g2*t^8.938*y)/g1 + g3^6*t^8.938*y + (g1*g3^12*t^8.938*y)/g2

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
57745	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$	1.4747	1.6859	0.8747	[X:[1.3265], M:[0.9898, 0.6722], q:[0.5057, 0.4841], qb:[0.5045, 0.4853], phi:[0.3367]]	t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + 2*t^3.98 + t^4.03 + t^4.04 + t^4.92 + t^4.93 + t^4.98 + 4*t^4.99 + 2*t^5.05 + t^5.43 + t^5.44 + t^5.49 + t^5.5 + t^5.82 + t^5.87 + 2*t^5.88 + t^5.93 + 4*t^5.94 + t^5.95 + t^5.99 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
57744	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}^{3}$	1.4551	1.6491	0.8824	[X:[1.3219], M:[0.9829, 0.9829], q:[0.5085, 0.4744], qb:[0.5085, 0.4744], phi:[0.339]]	t^2.85 + 4*t^2.95 + t^3.86 + 3*t^3.97 + t^4.07 + t^4.88 + 2*t^4.98 + t^5.09 + 2*t^5.39 + 2*t^5.49 + t^5.69 + 4*t^5.79 + 8*t^5.9 - 4*t^6. - t^4.02/y - t^5.03/y - t^4.02*y - t^5.03*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
47868	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.4552	1.6423	0.8861	[X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]]	t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y	detail