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
57370	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4215	1.6483	0.8624	[X:[1.2487], M:[1.0053, 0.873], q:[0.4974, 0.3757], qb:[0.4974, 0.3757], phi:[0.3757]]	[X:[[0, 0, 2]], M:[[0, 0, -8], [0, 0, 3]], q:[[-1, 0, 8], [0, -1, -2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}X_{1}$	4	t^2.254 + 3*t^2.619 + t^3.016 + t^3.381 + 3*t^3.746 + t^4.111 + 2*t^4.508 + 7*t^4.873 + 9*t^5.238 + t^5.27 + 2*t^5.635 + 4*t^6. + t^6.032 + 10*t^6.365 + t^6.397 + 3*t^6.73 + 6*t^6.762 + 10*t^7.127 + 23*t^7.492 + 2*t^7.524 + 23*t^7.857 + 3*t^7.889 + t^8.222 + 5*t^8.254 + t^8.285 + 11*t^8.619 + 2*t^8.651 + 27*t^8.984 - t^4.127/y - t^5.254/y - t^6.381/y - (3*t^6.746)/y - t^7.143/y - t^7.508/y + (3*t^8.238)/y + (2*t^8.635)/y - t^4.127*y - t^5.254*y - t^6.381*y - 3*t^6.746*y - t^7.143*y - t^7.508*y + 3*t^8.238*y + 2*t^8.635*y	t^2.254/g3^2 + (g1*t^2.619)/(g2*g3^2) + g3^3*t^2.619 + (g2*g3^8*t^2.619)/g1 + t^3.016/g3^8 + t^3.381/g3^3 + (g1*t^3.746)/(g2*g3^3) + g3^2*t^3.746 + (g2*g3^7*t^3.746)/g1 + g3^7*t^4.111 + (2*t^4.508)/g3^4 + (2*g1*t^4.873)/(g2*g3^4) + (g1*g2^2*t^4.873)/g3 + g3*t^4.873 + (g3^3*t^4.873)/(g1*g2^2) + (2*g2*g3^6*t^4.873)/g1 + (g1^2*t^5.238)/(g2^2*g3^4) + (g1^2*g2*t^5.238)/g3 + (g1*g3*t^5.238)/g2 + 3*g3^6*t^5.238 + (g2*g3^11*t^5.238)/g1 + (g3^13*t^5.238)/(g1^2*g2) + (g2^2*g3^16*t^5.238)/g1^2 + t^5.27/g3^10 + (2*t^5.635)/g3^5 - 2*t^6. + (2*g1*t^6.)/(g2*g3^5) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (2*g2*g3^5*t^6.)/g1 + t^6.032/g3^16 + (g1*t^6.365)/g2 + (g1^2*t^6.365)/(g2^2*g3^5) + (g1^2*g2*t^6.365)/g3^2 + 4*g3^5*t^6.365 + (g2*g3^10*t^6.365)/g1 + (g3^12*t^6.365)/(g1^2*g2) + (g2^2*g3^15*t^6.365)/g1^2 + t^6.397/g3^11 + (g1*g3^5*t^6.73)/g2 + g3^10*t^6.73 + (g2*g3^15*t^6.73)/g1 + t^6.762/(g2^3*g3^9) + (4*t^6.762)/g3^6 + (g2^3*t^6.762)/g3^3 - (g1^2*g2*t^7.127)/g3^8 + (4*g1*t^7.127)/(g2*g3^6) + (2*g1*g2^2*t^7.127)/g3^3 + (2*g3*t^7.127)/(g1*g2^2) + (4*g2*g3^4*t^7.127)/g1 - (g3^6*t^7.127)/(g1^2*g2) + (3*g1^2*t^7.492)/(g2^2*g3^6) + (3*g1^2*g2*t^7.492)/g3^3 + (g1*t^7.492)/(g2*g3) + (g3*t^7.492)/g2^3 + 7*g3^4*t^7.492 + g2^3*g3^7*t^7.492 + (g2*g3^9*t^7.492)/g1 + (3*g3^11*t^7.492)/(g1^2*g2) + (3*g2^2*g3^14*t^7.492)/g1^2 + (2*t^7.524)/g3^12 + (g1^3*t^7.857)/(g2^3*g3^6) + (2*g1^3*t^7.857)/g3^3 + (g1^2*t^7.857)/(g2^2*g3) + g1^2*g2*g3^2*t^7.857 + (4*g1*g3^4*t^7.857)/g2 + g1*g2^2*g3^7*t^7.857 + 3*g3^9*t^7.857 + (g3^11*t^7.857)/(g1*g2^2) + (4*g2*g3^14*t^7.857)/g1 + (g3^16*t^7.857)/(g1^2*g2) + (g2^2*g3^19*t^7.857)/g1^2 + (2*g3^21*t^7.857)/g1^3 + (g2^3*g3^24*t^7.857)/g1^3 + (3*t^7.889)/g3^7 + g3^14*t^8.222 + (2*t^8.254)/(g1*g2^2) - (g1^2*g2*t^8.254)/g3^9 + (4*g1*t^8.254)/(g2*g3^7) - t^8.254/(g2^3*g3^5) + (2*g1*g2^2*t^8.254)/g3^4 - (3*t^8.254)/g3^2 - g2^3*g3*t^8.254 + (4*g2*g3^3*t^8.254)/g1 - (g3^5*t^8.254)/(g1^2*g2) + t^8.285/g3^18 + (2*t^8.619)/g2^3 - (g1^3*t^8.619)/g3^9 + (3*g1^2*t^8.619)/(g2^2*g3^7) + (3*g1^2*g2*t^8.619)/g3^4 - (3*g1*t^8.619)/(g2*g3^2) - g1*g2^2*g3*t^8.619 + 5*g3^3*t^8.619 - (g3^5*t^8.619)/(g1*g2^2) + 2*g2^3*g3^6*t^8.619 - (3*g2*g3^8*t^8.619)/g1 + (3*g3^10*t^8.619)/(g1^2*g2) + (3*g2^2*g3^13*t^8.619)/g1^2 - (g3^15*t^8.619)/g1^3 + (2*t^8.651)/g3^13 + (g1^3*t^8.984)/(g2^3*g3^7) + (2*g1^3*t^8.984)/g3^4 + (g1^2*t^8.984)/(g2^2*g3^2) + (6*g1*g3^3*t^8.984)/g2 + 2*g1*g2^2*g3^6*t^8.984 + 3*g3^8*t^8.984 + (2*g3^10*t^8.984)/(g1*g2^2) + (6*g2*g3^13*t^8.984)/g1 + (g2^2*g3^18*t^8.984)/g1^2 + (2*g3^20*t^8.984)/g1^3 + (g2^3*g3^23*t^8.984)/g1^3 - t^4.127/(g3*y) - t^5.254/(g3^2*y) - t^6.381/(g3^3*y) - (g1*t^6.746)/(g2*g3^3*y) - (g3^2*t^6.746)/y - (g2*g3^7*t^6.746)/(g1*y) - t^7.143/(g3^9*y) - t^7.508/(g3^4*y) + (g1*g3*t^8.238)/(g2*y) + (g3^6*t^8.238)/y + (g2*g3^11*t^8.238)/(g1*y) + (g2*t^8.635)/(g1*y) + (g1*t^8.635)/(g2*g3^10*y) - (t^4.127*y)/g3 - (t^5.254*y)/g3^2 - (t^6.381*y)/g3^3 - (g1*t^6.746*y)/(g2*g3^3) - g3^2*t^6.746*y - (g2*g3^7*t^6.746*y)/g1 - (t^7.143*y)/g3^9 - (t^7.508*y)/g3^4 + (g1*g3*t^8.238*y)/g2 + g3^6*t^8.238*y + (g2*g3^11*t^8.238*y)/g1 + (g2*t^8.635*y)/g1 + (g1*t^8.635*y)/(g2*g3^10)

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
58467	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{2}M_{3}$	1.4104	1.6287	0.866	[X:[1.2538], M:[0.9848, 0.8807, 1.1193], q:[0.5076, 0.3731], qb:[0.5076, 0.3731], phi:[0.3731]]	t^2.24 + 2*t^2.64 + t^2.95 + 2*t^3.36 + 3*t^3.76 + t^4.16 + 2*t^4.48 + 6*t^4.88 + t^5.19 + 6*t^5.28 + 2*t^5.6 + t^5.91 + 5*t^6. - t^4.12/y - t^5.24/y - t^4.12*y - t^5.24*y	detail
58469	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	1.4408	1.6837	0.8557	[X:[1.2502], M:[0.9993, 0.8753, 0.7372], q:[0.4934, 0.3805], qb:[0.5074, 0.3693], phi:[0.3749]]	t^2.21 + t^2.25 + t^2.59 + t^2.63 + t^2.66 + t^3. + t^3.37 + t^3.71 + t^3.75 + t^4.13 + t^4.42 + t^4.46 + 2*t^4.5 + t^4.8 + 3*t^4.84 + t^4.86 + 2*t^4.88 + t^4.89 + 2*t^4.91 + t^5.18 + 2*t^5.21 + t^5.23 + 4*t^5.25 + t^5.28 + t^5.29 + t^5.33 + t^5.59 + 2*t^5.62 + t^5.92 + 3*t^5.96 + t^5.99 - t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail
58468	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$	1.4331	1.6694	0.8584	[X:[1.2438], M:[1.025, 0.8656, 0.8656], q:[0.4875, 0.3781], qb:[0.4875, 0.3781], phi:[0.3781]]	t^2.27 + 4*t^2.6 + t^3.07 + 3*t^3.73 + t^4.06 + 2*t^4.54 + 8*t^4.87 + 13*t^5.19 + t^5.34 + 2*t^5.67 + t^6. - t^4.13/y - t^5.27/y - t^4.13*y - t^5.27*y	detail
58466	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	1.4025	1.6143	0.8688	[X:[1.2469], M:[1.0123, 0.8704, 1.2469], q:[0.4938, 0.3765], qb:[0.4938, 0.3765], phi:[0.3765]]	3*t^2.61 + t^3.04 + t^3.39 + 4*t^3.74 + t^4.09 + t^4.52 + 4*t^4.87 + 9*t^5.22 + t^5.65 + t^6. - t^4.13/y - t^5.26/y - t^4.13*y - t^5.26*y	detail
58470	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}X_{1}$	1.4405	1.6826	0.8561	[X:[1.2504], M:[0.9984, 0.8756, 0.7496], q:[0.5008, 0.3748], qb:[0.5008, 0.3748], phi:[0.3748]]	2*t^2.25 + 3*t^2.63 + t^3. + t^3.37 + 2*t^3.75 + t^4.13 + 4*t^4.5 + 10*t^4.88 + 2*t^5.24 + 9*t^5.25 + 3*t^5.62 + t^5.99 + 5*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail
58464	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.3377	1.5623	0.8563	[X:[1.2594], M:[0.9625, 0.8891], q:[0.4275, 0.2308], qb:[0.61, 0.5098], phi:[0.3703]]	t^2.22 + t^2.52 + t^2.67 + t^2.81 + t^2.89 + t^3.33 + t^3.63 + 2*t^3.78 + t^3.92 + t^4.22 + t^4.37 + 2*t^4.44 + 2*t^4.74 + 2*t^4.89 + 2*t^5.03 + t^5.04 + t^5.11 + t^5.19 + 3*t^5.33 + t^5.41 + 2*t^5.48 + 2*t^5.55 + t^5.62 + t^5.77 + 2*t^5.86 + t^6. - t^4.11/y - t^5.22/y - t^4.11*y - t^5.22*y	detail
58465	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	1.404	1.6269	0.863	[X:[1.2667], M:[0.933, 0.9001], q:[0.476, 0.409], qb:[0.591, 0.3243], phi:[0.3666]]	t^2.2 + t^2.4 + t^2.7 + t^2.8 + t^3. + t^3.3 + t^3.5 + t^3.8 + t^4.1 + t^4.3 + 2*t^4.4 + 2*t^4.6 + t^4.8 + t^4.82 + t^4.9 + t^4.98 + t^5. + t^5.1 + t^5.18 + 2*t^5.2 + 3*t^5.4 + 2*t^5.5 + t^5.6 + t^5.62 + 3*t^5.7 + t^5.9 + t^5.92 - t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*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
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