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
4764	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$	0.6783	0.8471	0.8007	[M:[1.0044, 0.799, 0.9775, 0.8259, 1.1741, 0.7232, 0.8259, 1.201, 1.0225], q:[0.5961, 0.3995], qb:[0.4264, 0.7746], phi:[0.4509]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, -1], [2, 2], [1, 15]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{9}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{9}\phi_{1}^{2}$	${}$	-3	t^2.17 + 2*t^2.478 + t^2.705 + t^3.013 + t^3.067 + t^3.603 + t^3.75 + t^3.911 + t^4.112 + 2*t^4.339 + t^4.42 + 2*t^4.647 + t^4.875 + t^4.929 + 3*t^4.956 + 3*t^5.183 + t^5.237 + t^5.491 + 2*t^5.545 + t^5.718 + 2*t^5.773 - 3*t^6. + t^6.027 + 3*t^6.081 + t^6.135 + t^6.227 + t^6.282 + 2*t^6.389 + t^6.455 + t^6.509 - t^6.536 + t^6.59 + 2*t^6.616 + t^6.67 + 4*t^6.817 - t^6.844 + t^6.898 + t^6.924 + t^6.978 + t^7.099 + 3*t^7.125 + t^7.179 - t^7.272 + 2*t^7.353 + 3*t^7.407 + 3*t^7.433 + t^7.487 + t^7.499 + t^7.514 + 4*t^7.661 + 2*t^7.715 + t^7.822 - t^7.862 + t^7.888 + t^7.942 + t^7.969 + t^7.996 + 4*t^8.023 + t^8.089 - 4*t^8.17 + 2*t^8.196 + 4*t^8.25 + t^8.304 + t^8.331 - t^8.397 + t^8.424 + t^8.451 - 6*t^8.478 + t^8.504 + t^8.532 + 4*t^8.558 + 2*t^8.613 + 2*t^8.679 - 3*t^8.705 + t^8.732 + 2*t^8.786 + 3*t^8.84 + 3*t^8.867 + t^8.933 + t^8.987 - t^4.353/y - t^6.522/y - t^6.83/y - t^7.058/y + t^7.339/y - t^7.366/y + (3*t^7.647)/y + (2*t^7.875)/y + t^7.956/y + (4*t^8.183)/y + t^8.237/y + (2*t^8.491)/y + (2*t^8.545)/y - t^8.692/y + t^8.718/y + (2*t^8.773)/y + t^8.919/y - t^4.353*y - t^6.522*y - t^6.83*y - t^7.058*y + t^7.339*y - t^7.366*y + 3*t^7.647*y + 2*t^7.875*y + t^7.956*y + 4*t^8.183*y + t^8.237*y + 2*t^8.491*y + 2*t^8.545*y - t^8.692*y + t^8.718*y + 2*t^8.773*y + t^8.919*y	(g2^5*t^2.17)/g1 + (2*g1*t^2.478)/g2 + t^2.705/g2^8 + (g1^2*t^3.013)/g2^14 + g1*g2^15*t^3.067 + g1^2*g2^2*t^3.603 + t^3.75/(g1^2*g2^6) + (g1^4*t^3.911)/g2^4 + (g2^17*t^4.112)/g1 + (2*g2^10*t^4.339)/g1^2 + g1*g2^11*t^4.42 + 2*g2^4*t^4.647 + t^4.875/(g1*g2^3) + (g2^26*t^4.929)/g1^2 + (3*g1^2*t^4.956)/g2^2 + (3*g1*t^5.183)/g2^9 + g2^20*t^5.237 + (g1^3*t^5.491)/g2^15 + 2*g1^2*g2^14*t^5.545 + (g1^2*t^5.718)/g2^22 + 2*g1*g2^7*t^5.773 - 3*t^6. + (g1^4*t^6.027)/g2^28 + 3*g1^3*g2*t^6.081 + g1^2*g2^30*t^6.135 + t^6.227/(g1*g2^7) + (g2^22*t^6.282)/g1^2 + (2*g1^5*t^6.389)/g2^5 + t^6.455/(g1^2*g2^14) + (g2^15*t^6.509)/g1^3 - (g1*t^6.536)/g2^13 + g2^16*t^6.59 + (2*g1^4*t^6.616)/g2^12 + g1^3*g2^17*t^6.67 + (4*g2^9*t^6.817)/g1 - (g1^3*t^6.844)/g2^19 + g1^2*g2^10*t^6.898 + (g1^6*t^6.924)/g2^18 + g1^5*g2^11*t^6.978 + (g2^31*t^7.099)/g1^3 + 3*g1*g2^3*t^7.125 + g2^32*t^7.179 - t^7.272/(g1^3*g2^5) + (2*t^7.353)/g2^4 + (3*g2^25*t^7.407)/g1 + (3*g1^3*t^7.433)/g2^3 + g1^2*g2^26*t^7.487 + t^7.499/(g1^4*g2^12) + (g1^6*t^7.514)/g2^2 + (4*g1^2*t^7.661)/g2^10 + 2*g1*g2^19*t^7.715 + (g1^8*t^7.822)/g2^8 - (g2^11*t^7.862)/g1^3 + (g1*t^7.888)/g2^17 + g2^12*t^7.942 + (g1^4*t^7.969)/g2^16 + (g2^41*t^7.996)/g1 + 4*g1^3*g2^13*t^8.023 + (g2^4*t^8.089)/g1^4 - (4*g2^5*t^8.17)/g1 + (2*g1^3*t^8.196)/g2^23 + 4*g1^2*g2^6*t^8.25 + g1*g2^35*t^8.304 + g1^5*g2^7*t^8.331 - t^8.397/(g1^2*g2^2) + (g1^2*t^8.424)/g2^30 + (g2^27*t^8.451)/g1^3 - (6*g1*t^8.478)/g2 + (g1^5*t^8.504)/g2^29 + g2^28*t^8.532 + 4*g1^4*t^8.558 + 2*g1^3*g2^29*t^8.613 + (2*g2^20*t^8.679)/g1^4 - (3*t^8.705)/g2^8 + (g1^4*t^8.732)/g2^36 + (2*g1^3*t^8.786)/g2^7 + 3*g1^2*g2^22*t^8.84 + (3*g1^6*t^8.867)/g2^6 + t^8.933/(g1*g2^15) + (g2^14*t^8.987)/g1^2 - t^4.353/(g2^4*y) - (g2*t^6.522)/(g1*y) - (g1*t^6.83)/(g2^5*y) - t^7.058/(g2^12*y) + (g2^10*t^7.339)/(g1^2*y) - (g1^2*t^7.366)/(g2^18*y) + (3*g2^4*t^7.647)/y + (2*t^7.875)/(g1*g2^3*y) + (g1^2*t^7.956)/(g2^2*y) + (4*g1*t^8.183)/(g2^9*y) + (g2^20*t^8.237)/y + (2*g1^3*t^8.491)/(g2^15*y) + (2*g1^2*g2^14*t^8.545)/y - (g2^6*t^8.692)/(g1^2*y) + (g1^2*t^8.718)/(g2^22*y) + (2*g1*g2^7*t^8.773)/y + t^8.919/(g1^3*g2*y) - (t^4.353*y)/g2^4 - (g2*t^6.522*y)/g1 - (g1*t^6.83*y)/g2^5 - (t^7.058*y)/g2^12 + (g2^10*t^7.339*y)/g1^2 - (g1^2*t^7.366*y)/g2^18 + 3*g2^4*t^7.647*y + (2*t^7.875*y)/(g1*g2^3) + (g1^2*t^7.956*y)/g2^2 + (4*g1*t^8.183*y)/g2^9 + g2^20*t^8.237*y + (2*g1^3*t^8.491*y)/g2^15 + 2*g1^2*g2^14*t^8.545*y - (g2^6*t^8.692*y)/g1^2 + (g1^2*t^8.718*y)/g2^22 + 2*g1*g2^7*t^8.773*y + (t^8.919*y)/(g1^3*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
6362	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$ + ${ }M_{10}\phi_{1}\tilde{q}_{1}^{2}$	0.699	0.8871	0.788	[M:[1.0098, 0.7923, 0.973, 0.8291, 1.1709, 0.7204, 0.8291, 1.2077, 1.027, 0.6835], q:[0.594, 0.3961], qb:[0.433, 0.7747], phi:[0.4505]]	t^2.051 + t^2.161 + 2*t^2.487 + t^2.703 + t^3.029 + t^3.081 + t^3.623 + t^3.728 + t^4.101 + t^4.106 + t^4.212 + 2*t^4.322 + t^4.433 + 2*t^4.538 + 2*t^4.648 + t^4.754 + t^4.864 + t^4.916 + 3*t^4.975 + t^5.08 + t^5.132 + 3*t^5.19 + t^5.242 + t^5.517 + 2*t^5.568 + t^5.674 + t^5.733 + t^5.779 + 2*t^5.784 - 3*t^6. - t^4.352/y - t^4.352*y	detail
6361	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$ + ${ }M_{6}M_{9}$	0.6536	0.8118	0.8051	[M:[0.8686, 0.7314, 0.7657, 0.8343, 1.1657, 0.7657, 0.8343, 1.2686, 1.2343], q:[0.7657, 0.3657], qb:[0.4686, 0.8], phi:[0.4]]	t^2.297 + t^2.4 + 2*t^2.503 + t^2.606 + t^3.394 + t^3.703 + t^3.806 + t^4.012 + 2*t^4.594 + 2*t^4.697 + 2*t^4.8 + 4*t^4.903 + 4*t^5.006 + t^5.109 + t^5.212 + 2*t^5.794 + t^5.897 - 2*t^6. - t^4.2/y - t^4.2*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
2633	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$	0.6843	0.8549	0.8004	[M:[0.972, 0.7603, 0.8959, 0.8364, 1.1636, 0.7305, 0.8364, 1.2397], q:[0.6479, 0.3801], qb:[0.4563, 0.7835], phi:[0.4331]]	t^2.192 + 2*t^2.509 + t^2.598 + t^2.688 + t^2.916 + t^3.58 + t^3.719 + t^4.037 + t^4.294 + 2*t^4.383 + t^4.612 + 2*t^4.701 + t^4.79 + t^4.879 + 3*t^5.018 + 3*t^5.108 + t^5.186 + 2*t^5.197 + t^5.286 + t^5.375 + t^5.425 + t^5.514 + t^5.604 + t^5.832 + t^5.911 - 3*t^6. - t^4.299/y - t^4.299*y	detail