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
3690	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.6593	0.8299	0.7944	[X:[1.6217, 1.3516], M:[0.865, 0.6484, 1.135, 0.3783, 0.7567, 0.7026, 0.7026], q:[0.4054, 0.7296], qb:[0.4595, 0.892], phi:[0.3783]]	[X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, -2], [-2, 4], [2, -13]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}$	-2	2*t^2.108 + 2*t^2.27 + t^2.595 + t^3.405 + 2*t^3.568 + t^4.055 + 3*t^4.215 + 4*t^4.378 + 3*t^4.54 + 2*t^4.703 + 3*t^4.865 + t^5.19 + 2*t^5.513 + 5*t^5.675 + 2*t^5.838 - 2*t^6. + 2*t^6.162 + 4*t^6.323 + t^6.325 + 6*t^6.486 + 6*t^6.648 + t^6.65 + 7*t^6.81 + 6*t^6.973 + 5*t^7.135 - 2*t^7.297 + 3*t^7.621 + 8*t^7.783 + 5*t^7.945 - 2*t^8.108 + t^8.109 - t^8.27 + 5*t^8.431 + 8*t^8.593 - 3*t^8.595 + 9*t^8.756 + 12*t^8.918 + t^8.92 - t^4.135/y - (2*t^6.243)/y - (2*t^6.405)/y + t^7.215/y + (4*t^7.378)/y + t^7.54/y + (2*t^7.703)/y + (4*t^7.865)/y + (2*t^8.027)/y - (3*t^8.35)/y - (2*t^8.513)/y + (3*t^8.675)/y + (4*t^8.838)/y - t^4.135*y - 2*t^6.243*y - 2*t^6.405*y + t^7.215*y + 4*t^7.378*y + t^7.54*y + 2*t^7.703*y + 4*t^7.865*y + 2*t^8.027*y - 3*t^8.35*y - 2*t^8.513*y + 3*t^8.675*y + 4*t^8.838*y	(g1^2*t^2.108)/g2^13 + (g2^4*t^2.108)/g1^2 + (2*t^2.27)/g2^2 + g2^3*t^2.595 + t^3.405/g2^3 + (g1^2*t^3.568)/g2^9 + (g2^8*t^3.568)/g1^2 + g2^7*t^4.055 + (g1^4*t^4.215)/g2^26 + t^4.215/g2^9 + (g2^8*t^4.215)/g1^4 + (2*g1^2*t^4.378)/g2^15 + (2*g2^2*t^4.378)/g1^2 + (3*t^4.54)/g2^4 + (g1^2*t^4.703)/g2^10 + (g2^7*t^4.703)/g1^2 + 3*g2*t^4.865 + g2^6*t^5.19 + (g1^2*t^5.513)/g2^16 + (g2*t^5.513)/g1^2 + (g1^4*t^5.675)/g2^22 + (3*t^5.675)/g2^5 + (g2^12*t^5.675)/g1^4 + (g1^2*t^5.838)/g2^11 + (g2^6*t^5.838)/g1^2 - 2*t^6. + (g1^2*t^6.162)/g2^6 + (g2^11*t^6.162)/g1^2 + (g1^6*t^6.323)/g2^39 + (g1^2*t^6.323)/g2^22 + t^6.323/(g1^2*g2^5) + (g2^12*t^6.323)/g1^6 + g2^5*t^6.325 + (2*g1^4*t^6.486)/g2^28 + (2*t^6.486)/g2^11 + (2*g2^6*t^6.486)/g1^4 + (3*t^6.648)/g1^2 + (3*g1^2*t^6.648)/g2^17 + g2^10*t^6.65 + (g1^4*t^6.81)/g2^23 + (5*t^6.81)/g2^6 + (g2^11*t^6.81)/g1^4 + (3*g1^2*t^6.973)/g2^12 + (3*g2^5*t^6.973)/g1^2 + (g1^4*t^7.135)/g2^18 + (3*t^7.135)/g2 + (g2^16*t^7.135)/g1^4 - (g1^2*t^7.297)/g2^7 - (g2^10*t^7.297)/g1^2 + (g1^4*t^7.621)/g2^29 + t^7.621/g2^12 + (g2^5*t^7.621)/g1^4 + (g1^6*t^7.783)/g2^35 + (3*g1^2*t^7.783)/g2^18 + (3*t^7.783)/(g1^2*g2) + (g2^16*t^7.783)/g1^6 + (g1^4*t^7.945)/g2^24 + (3*t^7.945)/g2^7 + (g2^10*t^7.945)/g1^4 - (g1^2*t^8.108)/g2^13 - (g2^4*t^8.108)/g1^2 + g2^14*t^8.109 + (g1^4*t^8.27)/g2^19 - (3*t^8.27)/g2^2 + (g2^15*t^8.27)/g1^4 + (g1^8*t^8.431)/g2^52 + (g1^4*t^8.431)/g2^35 + t^8.431/g2^18 + t^8.431/(g1^4*g2) + (g2^16*t^8.431)/g1^8 + (2*g1^6*t^8.593)/g2^41 + (2*g1^2*t^8.593)/g2^24 + (2*t^8.593)/(g1^2*g2^7) + (2*g2^10*t^8.593)/g1^6 - 3*g2^3*t^8.595 + (3*g1^4*t^8.756)/g2^30 + (3*t^8.756)/g2^13 + (3*g2^4*t^8.756)/g1^4 + (g1^6*t^8.918)/g2^36 + (5*g1^2*t^8.918)/g2^19 + (5*t^8.918)/(g1^2*g2^2) + (g2^15*t^8.918)/g1^6 + g2^8*t^8.92 - t^4.135/(g2*y) - (g1^2*t^6.243)/(g2^14*y) - (g2^3*t^6.243)/(g1^2*y) - (2*t^6.405)/(g2^3*y) + t^7.215/(g2^9*y) + (2*g1^2*t^7.378)/(g2^15*y) + (2*g2^2*t^7.378)/(g1^2*y) + t^7.54/(g2^4*y) + (g1^2*t^7.703)/(g2^10*y) + (g2^7*t^7.703)/(g1^2*y) + (4*g2*t^7.865)/y + (g1^2*t^8.027)/(g2^5*y) + (g2^12*t^8.027)/(g1^2*y) - (g1^4*t^8.35)/(g2^27*y) - t^8.35/(g2^10*y) - (g2^7*t^8.35)/(g1^4*y) - (g1^2*t^8.513)/(g2^16*y) - (g2*t^8.513)/(g1^2*y) + (g1^4*t^8.675)/(g2^22*y) + t^8.675/(g2^5*y) + (g2^12*t^8.675)/(g1^4*y) + (2*g1^2*t^8.838)/(g2^11*y) + (2*g2^6*t^8.838)/(g1^2*y) - (t^4.135*y)/g2 - (g1^2*t^6.243*y)/g2^14 - (g2^3*t^6.243*y)/g1^2 - (2*t^6.405*y)/g2^3 + (t^7.215*y)/g2^9 + (2*g1^2*t^7.378*y)/g2^15 + (2*g2^2*t^7.378*y)/g1^2 + (t^7.54*y)/g2^4 + (g1^2*t^7.703*y)/g2^10 + (g2^7*t^7.703*y)/g1^2 + 4*g2*t^7.865*y + (g1^2*t^8.027*y)/g2^5 + (g2^12*t^8.027*y)/g1^2 - (g1^4*t^8.35*y)/g2^27 - (t^8.35*y)/g2^10 - (g2^7*t^8.35*y)/g1^4 - (g1^2*t^8.513*y)/g2^16 - (g2*t^8.513*y)/g1^2 + (g1^4*t^8.675*y)/g2^22 + (t^8.675*y)/g2^5 + (g2^12*t^8.675*y)/g1^4 + (2*g1^2*t^8.838*y)/g2^11 + (2*g2^6*t^8.838*y)/g1^2

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
3961	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$	0.6717	0.85	0.7902	[X:[1.6175, 1.3228], M:[0.8526, 0.6772, 1.1474, 0.3825, 0.7649, 0.7211, 0.7211, 0.8526], q:[0.4044, 0.743], qb:[0.4482, 0.8745], phi:[0.3825]]	2*t^2.163 + 2*t^2.295 + 2*t^2.558 + 2*t^3.574 + t^3.968 + 3*t^4.326 + 4*t^4.458 + 3*t^4.59 + 4*t^4.721 + 5*t^4.853 + 3*t^5.116 + 3*t^5.737 + 2*t^5.868 - 3*t^6. - t^4.147/y - t^4.147*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
3263	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$	0.639	0.7917	0.8072	[X:[1.6191, 1.3335], M:[0.8572, 0.6665, 1.1428, 0.3809, 0.7619, 0.7002], q:[0.4117, 0.7311], qb:[0.4455, 0.888], phi:[0.3809]]	t^2.101 + 2*t^2.286 + t^2.572 + t^3.428 + t^3.53 + t^3.613 + t^3.816 + t^4. + t^4.201 + 2*t^4.386 + 3*t^4.571 + t^4.672 + 3*t^4.857 + t^5.143 + t^5.529 + t^5.63 + 2*t^5.714 + t^5.815 + t^5.899 + t^5.916 - 2*t^6. - t^4.143/y - t^4.143*y	detail