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
292	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.6895	0.8749	0.7881	[M:[0.6865, 0.6958, 0.6958, 0.6958], q:[0.8353, 0.8168], qb:[0.4782, 0.4782], phi:[0.3479]]	[M:[[1, -5], [0, -4], [0, -4], [0, -4]], q:[[-1, 2], [1, 0]], qb:[[0, 3], [0, 3]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$	${}$	-4	t^2.06 + 4*t^2.087 + t^2.869 + 2*t^3.885 + t^3.94 + t^4.119 + 4*t^4.147 + 10*t^4.175 + t^4.929 + 5*t^4.956 + t^5.738 + 2*t^5.945 + 6*t^5.972 - 4*t^6. + 2*t^6.028 + t^6.179 + 4*t^6.206 + 10*t^6.234 + 20*t^6.262 + 2*t^6.754 + t^6.81 + t^6.988 + 3*t^7.016 + 10*t^7.044 - 2*t^7.071 + 3*t^7.77 - t^7.798 + 2*t^7.825 - 2*t^7.853 + t^7.881 + 2*t^8.004 + 6*t^8.032 + 8*t^8.06 - 17*t^8.087 + 2*t^8.115 + t^8.238 + 4*t^8.266 + 10*t^8.294 + 20*t^8.321 + 35*t^8.349 + t^8.607 + 2*t^8.814 + 6*t^8.841 - 8*t^8.869 + t^8.897 - t^4.044/y - t^6.103/y - (4*t^6.131)/y + (4*t^7.147)/y + (6*t^7.175)/y + t^7.929/y + (8*t^7.956)/y + t^7.984/y - t^8.163/y - (4*t^8.19)/y - (10*t^8.218)/y + (2*t^8.945)/y + (8*t^8.972)/y - t^4.044*y - t^6.103*y - 4*t^6.131*y + 4*t^7.147*y + 6*t^7.175*y + t^7.929*y + 8*t^7.956*y + t^7.984*y - t^8.163*y - 4*t^8.19*y - 10*t^8.218*y + 2*t^8.945*y + 8*t^8.972*y	(g1*t^2.06)/g2^5 + (4*t^2.087)/g2^4 + g2^6*t^2.869 + 2*g1*g2^3*t^3.885 + (g2^5*t^3.94)/g1 + (g1^2*t^4.119)/g2^10 + (4*g1*t^4.147)/g2^9 + (10*t^4.175)/g2^8 + g1*g2*t^4.929 + 5*g2^2*t^4.956 + g2^12*t^5.738 + (2*g1^2*t^5.945)/g2^2 + (6*g1*t^5.972)/g2 - 4*t^6. + (2*g2*t^6.028)/g1 + (g1^3*t^6.179)/g2^15 + (4*g1^2*t^6.206)/g2^14 + (10*g1*t^6.234)/g2^13 + (20*t^6.262)/g2^12 + 2*g1*g2^9*t^6.754 + (g2^11*t^6.81)/g1 + (g1^2*t^6.988)/g2^4 + (3*g1*t^7.016)/g2^3 + (10*t^7.044)/g2^2 - (2*t^7.071)/(g1*g2) + 3*g1^2*g2^6*t^7.77 - g1*g2^7*t^7.798 + 2*g2^8*t^7.825 - (2*g2^9*t^7.853)/g1 + (g2^10*t^7.881)/g1^2 + (2*g1^3*t^8.004)/g2^7 + (6*g1^2*t^8.032)/g2^6 + (8*g1*t^8.06)/g2^5 - (17*t^8.087)/g2^4 + (2*t^8.115)/(g1*g2^3) + (g1^4*t^8.238)/g2^20 + (4*g1^3*t^8.266)/g2^19 + (10*g1^2*t^8.294)/g2^18 + (20*g1*t^8.321)/g2^17 + (35*t^8.349)/g2^16 + g2^18*t^8.607 + 2*g1^2*g2^4*t^8.814 + 6*g1*g2^5*t^8.841 - 8*g2^6*t^8.869 + (g2^7*t^8.897)/g1 - t^4.044/(g2^2*y) - (g1*t^6.103)/(g2^7*y) - (4*t^6.131)/(g2^6*y) + (4*g1*t^7.147)/(g2^9*y) + (6*t^7.175)/(g2^8*y) + (g1*g2*t^7.929)/y + (8*g2^2*t^7.956)/y + (g2^3*t^7.984)/(g1*y) - (g1^2*t^8.163)/(g2^12*y) - (4*g1*t^8.19)/(g2^11*y) - (10*t^8.218)/(g2^10*y) + (2*g1^2*t^8.945)/(g2^2*y) + (8*g1*t^8.972)/(g2*y) - (t^4.044*y)/g2^2 - (g1*t^6.103*y)/g2^7 - (4*t^6.131*y)/g2^6 + (4*g1*t^7.147*y)/g2^9 + (6*t^7.175*y)/g2^8 + g1*g2*t^7.929*y + 8*g2^2*t^7.956*y + (g2^3*t^7.984*y)/g1 - (g1^2*t^8.163*y)/g2^12 - (4*g1*t^8.19*y)/g2^11 - (10*t^8.218*y)/g2^10 + (2*g1^2*t^8.945*y)/g2^2 + (8*g1*t^8.972*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
465	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$	0.5452	0.6976	0.7815	[M:[1.1214, 0.8786, 0.8786, 0.8786], q:[0.5376, 1.0231], qb:[0.341, 0.341], phi:[0.4393]]	t^2.046 + 5*t^2.636 + t^3.364 + 3*t^4.093 + 6*t^4.682 + 13*t^5.272 + t^5.41 - 2*t^6. - t^4.318/y - t^4.318*y	detail
1765	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.7103	0.916	0.7755	[M:[0.6811, 0.6946, 0.6946, 0.6946, 0.6811], q:[0.8399, 0.8128], qb:[0.4791, 0.4791], phi:[0.3473]]	2*t^2.043 + 4*t^2.084 + t^2.874 + 2*t^3.876 + 3*t^4.086 + 8*t^4.127 + 10*t^4.168 + 2*t^4.918 + 5*t^4.958 + t^5.749 + 4*t^5.919 + 6*t^5.959 - 5*t^6. - t^4.042/y - t^4.042*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
184	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.669	0.8353	0.8009	[M:[0.6891, 0.6994, 0.6994], q:[0.8355, 0.8148], qb:[0.4754, 0.4754], phi:[0.3497]]	t^2.067 + 3*t^2.098 + t^2.853 + 2*t^3.871 + t^3.902 + t^3.933 + t^4.134 + 3*t^4.165 + 6*t^4.196 + t^4.92 + 4*t^4.951 + t^5.705 + 2*t^5.938 + 5*t^5.969 - t^6. - t^4.049/y - t^4.049*y	detail