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
57373	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4745	1.684	0.8756	[X:[1.328], M:[0.9919, 0.6882], q:[0.504, 0.4879], qb:[0.504, 0.4879], phi:[0.336]]	[X:[[0, 0, 2]], M:[[0, 0, 3], [0, 0, -8]], 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
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.065 + t^2.927 + 3*t^2.976 + t^3.024 + 3*t^3.984 + t^4.032 + t^4.129 + t^4.943 + 3*t^4.992 + 4*t^5.04 + t^5.089 + 2*t^5.448 + 2*t^5.496 + t^5.855 + 3*t^5.903 + 5*t^5.952 - t^6. + 2*t^6.048 + t^6.097 + t^6.194 + 2*t^6.456 + 2*t^6.504 + 3*t^6.911 + 8*t^6.96 + 4*t^7.008 + 2*t^7.057 + 4*t^7.105 + t^7.153 + 2*t^7.415 + 2*t^7.512 + 4*t^7.561 + t^7.871 + 5*t^7.919 + 12*t^7.968 + 10*t^8.016 - t^8.065 + 2*t^8.113 + t^8.161 + t^8.258 + 2*t^8.375 + 6*t^8.423 + 2*t^8.472 - 2*t^8.52 + t^8.782 + 3*t^8.83 + 5*t^8.879 + 5*t^8.927 - t^8.976 - t^4.008/y - t^5.016/y - t^6.073/y - t^6.935/y - (3*t^6.984)/y - t^7.032/y - t^7.081/y - (2*t^7.992)/y + (2*t^8.04)/y + t^8.089/y - t^8.137/y + (3*t^8.903)/y + (4*t^8.952)/y - t^4.008*y - t^5.016*y - t^6.073*y - t^6.935*y - 3*t^6.984*y - t^7.032*y - t^7.081*y - 2*t^7.992*y + 2*t^8.04*y + t^8.089*y - t^8.137*y + 3*t^8.903*y + 4*t^8.952*y	t^2.065/g3^8 + g3^9*t^2.927 + (g2*t^2.976)/(g1*g3^3) + g3^3*t^2.976 + (g1*g3^9*t^2.976)/g2 + t^3.024/g3^3 + (g2*t^3.984)/(g1*g3^4) + g3^2*t^3.984 + (g1*g3^8*t^3.984)/g2 + t^4.032/g3^4 + t^4.129/g3^16 + g3^7*t^4.943 + (g2*t^4.992)/(g1*g3^5) + g3*t^4.992 + (g1*g3^7*t^4.992)/g2 + (g2*t^5.04)/(g1*g3^11) + (2*t^5.04)/g3^5 + (g1*g3*t^5.04)/g2 + t^5.089/g3^11 + (g1*g2^2*t^5.448)/g3 + (g3^14*t^5.448)/(g1*g2^2) + (g1^2*g2*t^5.496)/g3 + (g3^2*t^5.496)/(g1^2*g2) + g3^18*t^5.855 + (g2*g3^6*t^5.903)/g1 + g3^12*t^5.903 + (g1*g3^18*t^5.903)/g2 + (g2^2*t^5.952)/(g1^2*g3^6) + 3*g3^6*t^5.952 + (g1^2*g3^18*t^5.952)/g2^2 - 3*t^6. + (g2*t^6.)/(g1*g3^6) + (g1*g3^6*t^6.)/g2 + (2*t^6.048)/g3^6 + t^6.097/g3^12 + t^6.194/g3^24 + (g1*g2^2*t^6.456)/g3^2 + (g3^13*t^6.456)/(g1*g2^2) + (g1^2*g2*t^6.504)/g3^2 + (g3*t^6.504)/(g1^2*g2) + (g2*g3^5*t^6.911)/g1 + g3^11*t^6.911 + (g1*g3^17*t^6.911)/g2 + (g2^2*t^6.96)/(g1^2*g3^7) + (g2*t^6.96)/(g1*g3) + 4*g3^5*t^6.96 + (g1*g3^11*t^6.96)/g2 + (g1^2*g3^17*t^6.96)/g2^2 + (2*g2*t^7.008)/(g1*g3^7) + (2*g1*g3^5*t^7.008)/g2 + (2*t^7.057)/g3^7 + (g2*t^7.105)/(g1*g3^19) + (2*t^7.105)/g3^13 + (g1*t^7.105)/(g2*g3^7) + t^7.153/g3^19 + (g2^3*t^7.415)/g3^3 + (g3^24*t^7.415)/g2^3 + (g1*g2^2*t^7.464)/g3^3 - g1^2*g2*g3^3*t^7.464 - (g3^6*t^7.464)/(g1^2*g2) + (g3^12*t^7.464)/(g1*g2^2) + t^7.512/(g1^2*g2) + (g1^2*g2*t^7.512)/g3^3 + t^7.561/(g1^3*g3^12) + (g1^2*g2*t^7.561)/g3^9 + t^7.561/(g1^2*g2*g3^6) + (g1^3*t^7.561)/g3^3 + g3^16*t^7.871 + (2*g2*g3^4*t^7.919)/g1 + g3^10*t^7.919 + (2*g1*g3^16*t^7.919)/g2 + (2*g2^2*t^7.968)/(g1^2*g3^8) + (g2*t^7.968)/(g1*g3^2) + 6*g3^4*t^7.968 + (g1*g3^10*t^7.968)/g2 + (2*g1^2*g3^16*t^7.968)/g2^2 + (g2^2*t^8.016)/(g1^2*g3^14) + (3*g2*t^8.016)/(g1*g3^8) + (2*t^8.016)/g3^2 + (3*g1*g3^4*t^8.016)/g2 + (g1^2*g3^10*t^8.016)/g2^2 - t^8.065/g3^8 + (2*t^8.113)/g3^14 + t^8.161/g3^20 + t^8.258/g3^32 + g1*g2^2*g3^8*t^8.375 + (g3^23*t^8.375)/(g1*g2^2) + (g2^3*t^8.423)/g3^4 + 2*g1^2*g2*g3^8*t^8.423 + (2*g3^11*t^8.423)/(g1^2*g2) + (g3^23*t^8.423)/g2^3 - (g2^3*t^8.472)/g3^10 + (2*g1*g2^2*t^8.472)/g3^4 + t^8.472/(g1^3*g3) - g1^2*g2*g3^2*t^8.472 - (g3^5*t^8.472)/(g1^2*g2) + g1^3*g3^8*t^8.472 + (2*g3^11*t^8.472)/(g1*g2^2) - (g3^17*t^8.472)/g2^3 - (g1*g2^2*t^8.52)/g3^10 - t^8.52/(g1^3*g3^7) + (g1^2*g2*t^8.52)/g3^4 + t^8.52/(g1^2*g2*g3) - g1^3*g3^2*t^8.52 - (g3^5*t^8.52)/(g1*g2^2) + g3^27*t^8.782 + (g2*g3^15*t^8.83)/g1 + g3^21*t^8.83 + (g1*g3^27*t^8.83)/g2 + (g2^2*g3^3*t^8.879)/g1^2 + 3*g3^15*t^8.879 + (g1^2*g3^27*t^8.879)/g2^2 + (g2^3*t^8.927)/(g1^3*g3^9) + (3*g2*g3^3*t^8.927)/g1 - 3*g3^9*t^8.927 + (3*g1*g3^15*t^8.927)/g2 + (g1^3*g3^27*t^8.927)/g2^3 + (2*g2^2*t^8.976)/(g1^2*g3^9) - (4*g2*t^8.976)/(g1*g3^3) + 3*g3^3*t^8.976 - (4*g1*g3^9*t^8.976)/g2 + (2*g1^2*g3^15*t^8.976)/g2^2 - t^4.008/(g3*y) - t^5.016/(g3^2*y) - t^6.073/(g3^9*y) - (g3^8*t^6.935)/y - (g2*t^6.984)/(g1*g3^4*y) - (g3^2*t^6.984)/y - (g1*g3^8*t^6.984)/(g2*y) - t^7.032/(g3^4*y) - t^7.081/(g3^10*y) - (g2*t^7.992)/(g1*g3^5*y) - (g1*g3^7*t^7.992)/(g2*y) + (g2*t^8.04)/(g1*g3^11*y) + (g1*g3*t^8.04)/(g2*y) + t^8.089/(g3^11*y) - t^8.137/(g3^17*y) + (g2*g3^6*t^8.903)/(g1*y) + (g3^12*t^8.903)/y + (g1*g3^18*t^8.903)/(g2*y) + (g2*t^8.952)/(g1*y) + (2*g3^6*t^8.952)/y + (g1*g3^12*t^8.952)/(g2*y) - (t^4.008*y)/g3 - (t^5.016*y)/g3^2 - (t^6.073*y)/g3^9 - g3^8*t^6.935*y - (g2*t^6.984*y)/(g1*g3^4) - g3^2*t^6.984*y - (g1*g3^8*t^6.984*y)/g2 - (t^7.032*y)/g3^4 - (t^7.081*y)/g3^10 - (g2*t^7.992*y)/(g1*g3^5) - (g1*g3^7*t^7.992*y)/g2 + (g2*t^8.04*y)/(g1*g3^11) + (g1*g3*t^8.04*y)/g2 + (t^8.089*y)/g3^11 - (t^8.137*y)/g3^17 + (g2*g3^6*t^8.903*y)/g1 + g3^12*t^8.903*y + (g1*g3^18*t^8.903*y)/g2 + (g2*t^8.952*y)/g1 + 2*g3^6*t^8.952*y + (g1*g3^12*t^8.952*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
58445	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.379	1.5966	0.8637	[X:[1.291], M:[0.9365, 0.8361], q:[0.6591, 0.3046], qb:[0.4045, 0.5048], phi:[0.3545]]	t^2.13 + t^2.43 + t^2.51 + t^2.81 + 2*t^3.19 + t^3.49 + t^3.87 + 3*t^4.25 + 3*t^4.56 + t^4.64 + t^4.86 + t^4.87 + t^4.94 + t^5. + t^5.02 + t^5.24 + t^5.31 + 4*t^5.32 + 5*t^5.62 + t^5.7 + t^5.92 + 3*t^5.93 - t^6. - t^4.06/y - t^5.13/y - t^4.06*y - t^5.13*y	detail
58444	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$	1.3344	1.5375	0.8679	[X:[1.25, 1.375], M:[0.875, 1.0], q:[0.5625, 0.3125], qb:[0.5625, 0.3125], phi:[0.375]]	3*t^2.62 + t^3. + t^3.38 + 3*t^3.75 + 2*t^4.12 + t^4.5 + 2*t^4.69 + 2*t^4.88 + 4*t^5.25 + 2*t^5.44 + 4*t^5.62 + 2*t^5.81 - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 43725/32768, c: 50381/32768, X1: 5/4, X2: 11/8, M1: 7/8, M2: 1, q1: 9/16, q2: 5/16, qb1: 9/16, qb2: 5/16, phi1: 3/8}
58449	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$	1.4954	1.7254	0.8667	[X:[1.328], M:[0.992, 0.6879, 0.671], q:[0.5045, 0.4876], qb:[0.5035, 0.4885], phi:[0.336]]	t^2.01 + t^2.06 + t^2.93 + t^2.97 + 2*t^2.98 + t^3.02 + 2*t^3.98 + 2*t^4.03 + t^4.08 + t^4.13 + 2*t^4.94 + 6*t^4.99 + 5*t^5.04 + t^5.09 + 2*t^5.45 + t^5.49 + t^5.5 + t^5.86 + 2*t^5.9 + t^5.91 + 4*t^5.95 + t^5.96 + t^5.99 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y	detail
58448	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$	1.4755	1.6867	0.8748	[X:[1.3244], M:[0.9866, 0.7025, 0.9866], q:[0.5067, 0.4798], qb:[0.5067, 0.4798], phi:[0.3378]]	t^2.11 + t^2.88 + 4*t^2.96 + 3*t^3.97 + t^4.05 + t^4.22 + t^4.91 + 3*t^4.99 + 5*t^5.07 + 2*t^5.41 + 2*t^5.49 + t^5.76 + 4*t^5.84 + 8*t^5.92 - 4*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y	detail
58447	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	1.4745	1.6838	0.8757	[X:[1.3286], M:[0.993, 0.6854], q:[0.5071, 0.486], qb:[0.5, 0.4929], phi:[0.3357]]	t^2.06 + t^2.94 + t^2.96 + t^2.98 + t^3. + t^3.02 + t^3.96 + t^3.99 + t^4.01 + t^4.03 + t^4.11 + t^4.95 + t^4.97 + t^4.99 + 2*t^5.01 + 2*t^5.04 + t^5.06 + t^5.08 + t^5.44 + t^5.46 + t^5.49 + t^5.51 + t^5.87 + t^5.89 + 2*t^5.92 + t^5.94 + 3*t^5.96 + t^5.98 - 2*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*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
47893	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4759	1.6818	0.8776	[X:[1.3444], M:[0.9513, 0.6879], q:[0.5244, 0.4922], qb:[0.5244, 0.4922], phi:[0.3278]]	t^2.064 + t^2.854 + t^2.95 + t^2.953 + 2*t^3.05 + 3*t^4.033 + t^4.127 + t^4.13 + t^4.917 + t^4.92 + t^5.014 + 3*t^5.017 + 3*t^5.113 + 2*t^5.51 + 2*t^5.606 + t^5.708 + t^5.804 + t^5.807 + t^5.901 + t^5.903 + t^5.906 - 2*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y	detail