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
47913	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	1.4595	1.6464	0.8865	[X:[1.3609], M:[0.922, 0.922], q:[0.52, 0.52], qb:[0.558, 0.4848], phi:[0.3195]]	[X:[[0, 0, 0, 2]], M:[[1, 0, 1, -6], [-1, -1, 0, 0]], q:[[-1, -1, -1, 6], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0]], phi:[[0, 0, 0, -1]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	${}$	-6	2*t^2.766 + t^2.876 + 2*t^3.015 + 2*t^3.973 + t^4.083 + 2*t^4.193 + 2*t^4.932 + 2*t^5.151 + 3*t^5.532 + t^5.542 + 2*t^5.639 + 2*t^5.642 + t^5.751 + t^5.761 + 3*t^5.781 + 2*t^5.89 - 6*t^6. + 3*t^6.029 - t^6.219 + t^6.5 + 2*t^6.597 + t^6.72 + 3*t^6.739 + 4*t^6.849 + 4*t^6.988 + 2*t^7.068 + 2*t^7.097 - t^7.178 + 4*t^7.207 + t^7.239 - t^7.446 + t^7.459 + 4*t^7.556 - 2*t^7.568 - t^7.666 + t^7.678 + 3*t^7.698 + 2*t^7.807 + t^7.898 + 7*t^7.946 + 2*t^8.027 - t^8.137 + 8*t^8.166 + 4*t^8.298 + 3*t^8.385 + 3*t^8.408 + t^8.417 + 2*t^8.514 + 2*t^8.517 - 2*t^8.527 + 4*t^8.547 + 2*t^8.556 - 4*t^8.624 + t^8.627 + t^8.637 + 4*t^8.653 + 3*t^8.656 - 2*t^8.746 - 8*t^8.766 + 2*t^8.776 + 4*t^8.795 - 5*t^8.876 + 7*t^8.905 + t^8.876/y^2 - t^3.959/y - t^4.917/y - (2*t^6.725)/y - t^6.834/y - (2*t^6.973)/y - (2*t^7.683)/y - t^7.793/y - (2*t^7.932)/y + t^8.532/y + (2*t^8.642)/y + (4*t^8.781)/y - t^3.959*y - t^4.917*y - 2*t^6.725*y - t^6.834*y - 2*t^6.973*y - 2*t^7.683*y - t^7.793*y - 2*t^7.932*y + t^8.532*y + 2*t^8.642*y + 4*t^8.781*y + t^8.876*y^2	t^2.766/(g1*g2) + (g1*g3*t^2.766)/g4^6 + t^2.876/g4^3 + g1*g3*t^3.015 + (g4^6*t^3.015)/(g1*g2) + (g1*g3*t^3.973)/g4 + (g4^5*t^3.973)/(g1*g2) + g4^2*t^4.083 + (g1*g2*t^4.193)/g4 + (g4^5*t^4.193)/(g1*g3) + (g1*g3*t^4.932)/g4^2 + (g4^4*t^4.932)/(g1*g2) + (g1*g2*t^5.151)/g4^2 + (g4^4*t^5.151)/(g1*g3) + t^5.532/(g1^2*g2^2) + (g1^2*g3^2*t^5.532)/g4^12 + (g3*t^5.532)/(g2*g4^6) + (g2*g3^2*t^5.542)/g4 + (g1*g4^5*t^5.639)/(g2*g3) + (g4^11*t^5.639)/(g1*g2^2*g3^2) + (g1*g3*t^5.642)/g4^9 + t^5.642/(g1*g2*g4^3) + t^5.751/g4^6 + (g2^2*g3*t^5.761)/g4 + (g3*t^5.781)/g2 + (g1^2*g3^2*t^5.781)/g4^6 + (g4^6*t^5.781)/(g1^2*g2^2) + (g1*g3*t^5.89)/g4^3 + (g4^3*t^5.89)/(g1*g2) - 4*t^6. - (g1^2*g2*g3*t^6.)/g4^6 - (g4^6*t^6.)/(g1^2*g2*g3) + g1^2*g3^2*t^6.029 + (g3*g4^6*t^6.029)/g2 + (g4^12*t^6.029)/(g1^2*g2^2) - (g2*t^6.219)/g3 + (g2*g3^2*t^6.5)/g4^2 + (g1*g4^4*t^6.597)/(g2*g3) + (g4^10*t^6.597)/(g1*g2^2*g3^2) + (g2^2*g3*t^6.72)/g4^2 + (g1^2*g3^2*t^6.739)/g4^7 + (g3*t^6.739)/(g2*g4) + (g4^5*t^6.739)/(g1^2*g2^2) + (2*g1*g3*t^6.849)/g4^4 + (2*g4^2*t^6.849)/(g1*g2) + (g1^2*g3^2*t^6.988)/g4 + (2*g3*g4^5*t^6.988)/g2 + (g4^11*t^6.988)/(g1^2*g2^2) + (g1*g2*t^7.068)/g4^4 + (g4^2*t^7.068)/(g1*g3) + g1*g3*g4^2*t^7.097 + (g4^8*t^7.097)/(g1*g2) - (g2*t^7.178)/(g3*g4) + (g1^2*g2*g3*t^7.207)/g4 + 2*g4^5*t^7.207 + (g4^11*t^7.207)/(g1^2*g2*g3) + (g3^3*t^7.239)/g4^3 - (g4^6*t^7.446)/(g2^2*g3) + (g2*g3^2*t^7.459)/g4^3 + (g1^3*t^7.556)/g4^3 + (g1*g4^3*t^7.556)/(g2*g3) + (g4^9*t^7.556)/(g1*g2^2*g3^2) + (g4^15*t^7.556)/(g1^3*g2^3*g3^3) - (g2*g3*t^7.568)/g1 - (g1*g2^2*g3^2*t^7.568)/g4^6 - (g4^6*t^7.666)/(g2*g3^2) + (g2^2*g3*t^7.678)/g4^3 + (g1^2*g3^2*t^7.698)/g4^8 + (g3*t^7.698)/(g2*g4^2) + (g4^4*t^7.698)/(g1^2*g2^2) + (g1*g3*t^7.807)/g4^5 + (g4*t^7.807)/(g1*g2) + (g2^3*t^7.898)/g4^3 + (2*g1^2*g3^2*t^7.946)/g4^2 + (3*g3*g4^4*t^7.946)/g2 + (2*g4^10*t^7.946)/(g1^2*g2^2) + (g1*g2*t^8.027)/g4^5 + (g4*t^8.027)/(g1*g3) - (g2*t^8.137)/(g3*g4^2) + (2*g1^2*g2*g3*t^8.166)/g4^2 + 4*g4^4*t^8.166 + (2*g4^10*t^8.166)/(g1^2*g2*g3) + t^8.298/(g1^3*g2^3) + (g1^3*g3^3*t^8.298)/g4^18 + (g1*g3^2*t^8.298)/(g2*g4^12) + (g3*t^8.298)/(g1*g2^2*g4^6) + (g1^2*g2^2*t^8.385)/g4^2 + (g2*g4^4*t^8.385)/g3 + (g4^10*t^8.385)/(g1^2*g3^2) + (g1^2*g3^2*t^8.408)/g4^15 + (g3*t^8.408)/(g2*g4^9) + t^8.408/(g1^2*g2^2*g4^3) + (g2*g3^2*t^8.417)/g4^4 + (g1*g4^2*t^8.514)/(g2*g3) + (g4^8*t^8.514)/(g1*g2^2*g3^2) + (g1*g3*t^8.517)/g4^12 + t^8.517/(g1*g2*g4^6) - (g1*g2^2*g3^2*t^8.527)/g4^7 - (g2*g3*t^8.527)/(g1*g4) + (g3*t^8.547)/(g1*g2^2) + (g1^3*g3^3*t^8.547)/g4^12 + (g1*g3^2*t^8.547)/(g2*g4^6) + (g4^6*t^8.547)/(g1^3*g2^3) + (g1*g2*g3^3*t^8.556)/g4 + (g3^2*g4^5*t^8.556)/g1 - (g1^2*t^8.624)/(g3*g4) - (2*g4^5*t^8.624)/(g2*g3^2) - (g4^11*t^8.624)/(g1^2*g2^2*g3^3) + t^8.627/g4^9 + (g2^2*g3*t^8.637)/g4^4 + (g1^2*g4^5*t^8.653)/g2 + (2*g4^11*t^8.653)/(g2^2*g3) + (g4^17*t^8.653)/(g1^2*g2^3*g3^2) + (g1^2*g3^2*t^8.656)/g4^9 + (g3*t^8.656)/(g2*g4^3) + (g4^3*t^8.656)/(g1^2*g2^2) - (g1*g2^3*g3*t^8.746)/g4^7 - (g2^2*t^8.746)/(g1*g4) - (3*t^8.766)/(g1*g2) - (g1^3*g2*g3^2*t^8.766)/g4^12 - (3*g1*g3*t^8.766)/g4^6 - (g4^6*t^8.766)/(g1^3*g2^2*g3) + (g1*g2^2*g3^2*t^8.776)/g4 + (g2*g3*g4^5*t^8.776)/g1 + (g1*g3^2*t^8.795)/g2 + (g1^3*g3^3*t^8.795)/g4^6 + (g3*g4^6*t^8.795)/(g1*g2^2) + (g4^12*t^8.795)/(g1^3*g2^3) - (g1^2*g2*g3*t^8.876)/g4^9 - (3*t^8.876)/g4^3 - (g4^3*t^8.876)/(g1^2*g2*g3) + (2*g1^2*g3^2*t^8.905)/g4^3 + (3*g3*g4^3*t^8.905)/g2 + (2*g4^9*t^8.905)/(g1^2*g2^2) + t^8.876/(g4^3*y^2) - t^3.959/(g4*y) - t^4.917/(g4^2*y) - (g1*g3*t^6.725)/(g4^7*y) - t^6.725/(g1*g2*g4*y) - t^6.834/(g4^4*y) - (g1*g3*t^6.973)/(g4*y) - (g4^5*t^6.973)/(g1*g2*y) - (g1*g3*t^7.683)/(g4^8*y) - t^7.683/(g1*g2*g4^2*y) - t^7.793/(g4^5*y) - (g1*g3*t^7.932)/(g4^2*y) - (g4^4*t^7.932)/(g1*g2*y) + (g3*t^8.532)/(g2*g4^6*y) + (g1*g3*t^8.642)/(g4^9*y) + t^8.642/(g1*g2*g4^3*y) + (2*g3*t^8.781)/(g2*y) + (g1^2*g3^2*t^8.781)/(g4^6*y) + (g4^6*t^8.781)/(g1^2*g2^2*y) - (t^3.959*y)/g4 - (t^4.917*y)/g4^2 - (g1*g3*t^6.725*y)/g4^7 - (t^6.725*y)/(g1*g2*g4) - (t^6.834*y)/g4^4 - (g1*g3*t^6.973*y)/g4 - (g4^5*t^6.973*y)/(g1*g2) - (g1*g3*t^7.683*y)/g4^8 - (t^7.683*y)/(g1*g2*g4^2) - (t^7.793*y)/g4^5 - (g1*g3*t^7.932*y)/g4^2 - (g4^4*t^7.932*y)/(g1*g2) + (g3*t^8.532*y)/(g2*g4^6) + (g1*g3*t^8.642*y)/g4^9 + (t^8.642*y)/(g1*g2*g4^3) + (2*g3*t^8.781*y)/g2 + (g1^2*g3^2*t^8.781*y)/g4^6 + (g4^6*t^8.781*y)/(g1^2*g2^2) + (t^8.876*y^2)/g4^3

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
57467	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4549	1.6456	0.8841	[X:[1.331], M:[0.9966, 0.9669], q:[0.4833, 0.513], qb:[0.5201, 0.4767], phi:[0.3345]]	t^2.88 + t^2.9 + t^2.97 + t^2.99 + t^3.01 + t^3.88 + t^3.97 + t^3.99 + t^4.01 + t^4.1 + t^4.89 + t^4.98 + t^5.02 + t^5.11 + t^5.42 + t^5.44 + t^5.53 + t^5.55 + t^5.76 + t^5.78 + t^5.8 + t^5.85 + t^5.87 + 2*t^5.89 + t^5.94 + t^5.96 + 2*t^5.98 - 3*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y	detail
57468	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$	1.4569	1.6464	0.8849	[X:[1.3428], M:[0.9491, 0.9491, 1.0141], q:[0.5064, 0.5064], qb:[0.5445, 0.471], phi:[0.3286]]	2*t^2.85 + 2*t^2.93 + t^3.04 + 2*t^3.92 + t^4.03 + 2*t^4.14 + 2*t^4.9 + 2*t^5.12 + t^5.45 + 2*t^5.54 + t^5.67 + 3*t^5.69 + 3*t^5.78 + 3*t^5.86 + 2*t^5.89 + 2*t^5.97 - 6*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y	detail
57464	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$	1.1163	1.237	0.9024	[X:[1.5391], M:[1.1523, 0.6825], q:[0.4224, 0.8922], qb:[0.4253, 0.8773], phi:[0.2305]]	t^2.05 + t^2.07 + t^3.23 + t^3.46 + t^3.9 + t^3.93 + t^4.09 + t^4.12 + t^4.15 + t^4.62 + t^5.28 + 2*t^5.31 + t^5.5 + t^5.53 + 2*t^5.88 + 2*t^5.9 + t^5.95 + t^5.97 - 2*t^6. - t^3.69/y - t^4.38/y - t^5.74/y - t^5.77/y - t^3.69*y - t^4.38*y - t^5.74*y - t^5.77*y	detail
57466	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4519	1.632	0.8897	[X:[1.3846], M:[0.9058, 0.9058], q:[0.5071, 0.5071], qb:[0.5871, 0.5526], phi:[0.3077]]	2*t^2.72 + t^2.77 + 2*t^3.18 + 2*t^4.1 + t^4.15 + 2*t^4.21 + 2*t^5.03 + 2*t^5.13 + 3*t^5.43 + 4*t^5.49 + t^5.54 + 3*t^5.9 + 2*t^5.95 - 5*t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*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
47868	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$	1.4552	1.6423	0.8861	[X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]]	t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y	detail