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
46367	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6912	0.864	0.8	[M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]]	[M:[[1, -7], [-1, -11], [0, 4], [0, 6], [2, 10]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	${}$	-2	t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^6.015 + t^6.076 + t^6.09 + 2*t^6.105 + 2*t^6.119 + t^6.293 + t^6.307 + t^6.398 + t^6.412 + 2*t^6.586 + t^6.6 + t^6.615 + t^6.691 + t^6.705 + t^6.72 + t^6.824 + t^6.839 + t^6.879 - t^6.908 + t^6.983 + 2*t^6.998 + 3*t^7.013 + 2*t^7.027 + 2*t^7.306 + t^7.32 + t^7.41 + t^7.425 + 2*t^7.439 + t^7.598 - t^7.628 + t^7.703 + 2*t^7.718 + 3*t^7.732 + 2*t^7.747 + 2*t^7.891 + 2*t^7.906 + 2*t^7.92 + t^7.935 + t^7.996 - t^8.025 - 3*t^8.04 - t^8.054 + t^8.101 + t^8.115 + 2*t^8.13 + 2*t^8.144 + 3*t^8.159 + 2*t^8.318 + t^8.333 - t^8.347 + t^8.423 + t^8.437 + t^8.452 + t^8.467 + 2*t^8.611 + 2*t^8.626 + t^8.716 + t^8.73 + 2*t^8.745 + t^8.799 + t^8.814 + t^8.828 + t^8.843 + t^8.85 + t^8.864 + 2*t^8.879 + t^8.904 - 4*t^8.933 - 4*t^8.948 - t^8.962 - t^4.32/y - t^6.345/y - t^6.36/y + t^7.065/y - t^7.253/y - t^7.268/y + t^7.372/y + t^7.387/y + t^7.665/y + t^7.68/y + t^7.958/y + (2*t^7.973)/y + t^7.987/y + t^8.28/y + t^8.295/y - t^8.37/y + t^8.573/y + t^8.588/y + t^8.678/y + (2*t^8.693)/y + t^8.707/y + t^8.881/y + t^8.971/y + t^8.985/y - t^4.32*y - t^6.345*y - t^6.36*y + t^7.065*y - t^7.253*y - t^7.268*y + t^7.372*y + t^7.387*y + t^7.665*y + t^7.68*y + t^7.958*y + 2*t^7.973*y + t^7.987*y + t^8.28*y + t^8.295*y - t^8.37*y + t^8.573*y + t^8.588*y + t^8.678*y + 2*t^8.693*y + t^8.707*y + t^8.881*y + t^8.971*y + t^8.985*y	g1^2*g2^10*t^2.025 + g2^6*t^2.04 + t^2.64/g2^4 + (g1*t^2.933)/g2^7 + t^2.948/(g1*g2^11) + g2^4*t^3.36 + g1*g2*t^3.653 + t^3.667/(g1*g2^3) + (g1^2*t^3.946)/g2^2 + g1^4*g2^20*t^4.05 + g1^2*g2^16*t^4.065 + 2*g2^12*t^4.08 + g1*g2^9*t^4.372 + (g2^5*t^4.387)/g1 + g1^2*g2^6*t^4.665 + g2^2*t^4.68 + g2^20*t^4.799 + g1^3*g2^3*t^4.958 + (2*g1*t^4.973)/g2 + t^4.987/(g1*g2^5) + t^5.28/g2^8 + g1^2*g2^14*t^5.385 + g2^10*t^5.4 + g1^3*g2^11*t^5.678 + 2*g1*g2^7*t^5.693 + (g2^3*t^5.707)/g1 + (g1^2*t^5.866)/g2^14 + t^5.881/g2^18 + t^5.895/(g1^2*g2^22) + g1^4*g2^8*t^5.971 - 2*t^6. - t^6.015/(g1^2*g2^4) + g1^6*g2^30*t^6.076 + g1^4*g2^26*t^6.09 + 2*g1^2*g2^22*t^6.105 + 2*g2^18*t^6.119 + (g1*t^6.293)/g2^3 + t^6.307/(g1*g2^7) + g1^3*g2^19*t^6.398 + g1*g2^15*t^6.412 + (2*g1^2*t^6.586)/g2^6 + t^6.6/g2^10 + t^6.615/(g1^2*g2^14) + g1^4*g2^16*t^6.691 + g1^2*g2^12*t^6.705 + g2^8*t^6.72 + g1^2*g2^30*t^6.824 + g2^26*t^6.839 + (g1^3*t^6.879)/g2^9 - t^6.908/(g1*g2^17) + g1^5*g2^13*t^6.983 + 2*g1^3*g2^9*t^6.998 + 3*g1*g2^5*t^7.013 + (2*g2*t^7.027)/g1 + 2*g1^2*g2^2*t^7.306 + t^7.32/g2^2 + g1^4*g2^24*t^7.41 + g1^2*g2^20*t^7.425 + 2*g2^16*t^7.439 + (g1^3*t^7.598)/g2 - t^7.628/(g1*g2^9) + g1^5*g2^21*t^7.703 + 2*g1^3*g2^17*t^7.718 + 3*g1*g2^13*t^7.732 + (2*g2^9*t^7.747)/g1 + (2*g1^4*t^7.891)/g2^4 + (2*g1^2*t^7.906)/g2^8 + (2*t^7.92)/g2^12 + t^7.935/(g1^2*g2^16) + g1^6*g2^18*t^7.996 - g1^2*g2^10*t^8.025 - 3*g2^6*t^8.04 - (g2^2*t^8.054)/g1^2 + g1^8*g2^40*t^8.101 + g1^6*g2^36*t^8.115 + 2*g1^4*g2^32*t^8.13 + 2*g1^2*g2^28*t^8.144 + 3*g2^24*t^8.159 + 2*g1^3*g2^7*t^8.318 + g1*g2^3*t^8.333 - t^8.347/(g1*g2) + g1^5*g2^29*t^8.423 + g1^3*g2^25*t^8.437 + g1*g2^21*t^8.452 + (g2^17*t^8.467)/g1 + 2*g1^4*g2^4*t^8.611 + 2*g1^2*t^8.626 + g1^6*g2^26*t^8.716 + g1^4*g2^22*t^8.73 + 2*g1^2*g2^18*t^8.745 + (g1^3*t^8.799)/g2^21 + (g1*t^8.814)/g2^25 + t^8.828/(g1*g2^29) + t^8.843/(g1^3*g2^33) + g1^4*g2^40*t^8.85 + g1^2*g2^36*t^8.864 + 2*g2^32*t^8.879 + g1^5*g2*t^8.904 - (4*g1*t^8.933)/g2^7 - (4*t^8.948)/(g1*g2^11) - t^8.962/(g1^3*g2^15) - t^4.32/(g2^2*y) - (g1^2*g2^8*t^6.345)/y - (g2^4*t^6.36)/y + (g1^2*g2^16*t^7.065)/y - (g1*t^7.253)/(g2^9*y) - t^7.268/(g1*g2^13*y) + (g1*g2^9*t^7.372)/y + (g2^5*t^7.387)/(g1*y) + (g1^2*g2^6*t^7.665)/y + (g2^2*t^7.68)/y + (g1^3*g2^3*t^7.958)/y + (2*g1*t^7.973)/(g2*y) + t^7.987/(g1*g2^5*y) + t^8.28/(g2^8*y) + t^8.295/(g1^2*g2^12*y) - (g1^4*g2^18*t^8.37)/y + (g1*t^8.573)/(g2^11*y) + t^8.588/(g1*g2^15*y) + (g1^3*g2^11*t^8.678)/y + (2*g1*g2^7*t^8.693)/y + (g2^3*t^8.707)/(g1*y) + t^8.881/(g2^18*y) + (g1^4*g2^8*t^8.971)/y + (g1^2*g2^4*t^8.985)/y - (t^4.32*y)/g2^2 - g1^2*g2^8*t^6.345*y - g2^4*t^6.36*y + g1^2*g2^16*t^7.065*y - (g1*t^7.253*y)/g2^9 - (t^7.268*y)/(g1*g2^13) + g1*g2^9*t^7.372*y + (g2^5*t^7.387*y)/g1 + g1^2*g2^6*t^7.665*y + g2^2*t^7.68*y + g1^3*g2^3*t^7.958*y + (2*g1*t^7.973*y)/g2 + (t^7.987*y)/(g1*g2^5) + (t^8.28*y)/g2^8 + (t^8.295*y)/(g1^2*g2^12) - g1^4*g2^18*t^8.37*y + (g1*t^8.573*y)/g2^11 + (t^8.588*y)/(g1*g2^15) + g1^3*g2^11*t^8.678*y + 2*g1*g2^7*t^8.693*y + (g2^3*t^8.707*y)/g1 + (t^8.881*y)/g2^18 + g1^4*g2^8*t^8.971*y + g1^2*g2^4*t^8.985*y

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
48287	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}X_{1}$	0.5037	0.6166	0.8169	[X:[1.4182], M:[0.9089, 0.5818, 1.2243, 0.8364, 1.1636], q:[0.8668, 0.2243], qb:[0.5514, 0.8061], phi:[0.3879]]	t^2.327 + t^2.509 + t^2.727 + t^3.091 + t^3.491 + t^3.673 + t^4.255 + t^4.437 + t^4.472 + t^4.654 + t^4.836 + t^5.019 + t^5.418 + t^5.454 + t^5.6 + t^5.818 - t^6. - t^4.164/y - t^4.164*y	detail
48164	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.6874	0.8556	0.8034	[M:[1.0083, 0.9432, 1.1219, 0.6829, 0.7479], q:[0.5852, 0.4065], qb:[0.4716, 0.7805], phi:[0.439]]	t^2.049 + t^2.244 + t^2.634 + t^2.83 + t^3.025 + t^3.366 + t^3.561 + t^3.756 + 2*t^4.097 + t^4.147 + 2*t^4.292 + 2*t^4.488 + t^4.683 + t^4.829 + 2*t^4.878 + 2*t^5.073 + 2*t^5.269 + t^5.414 + 2*t^5.61 + t^5.659 + t^5.805 + t^5.854 - t^6. - t^4.317/y - t^4.317*y	detail	{a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 11768/12477, M3: 4666/4159, M4: 2840/4159, M5: 9332/12477, q1: 2434/4159, q2: 5072/12477, qb1: 5884/12477, qb2: 3246/4159, phi1: 1826/4159}
47232	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$	0.6252	0.7769	0.8047	[M:[1.0648, 0.7824, 1.1451, 0.7176, 1.0], q:[0.6489, 0.2863], qb:[0.5687, 0.7863], phi:[0.4275]]	t^2.153 + t^2.347 + t^2.565 + t^3. + t^3.194 + t^3.218 + t^3.435 + t^4.065 + t^4.088 + 2*t^4.306 + t^4.5 + 2*t^4.694 + t^4.718 + t^4.935 + t^5.13 + t^5.176 + 2*t^5.347 + t^5.37 + t^5.542 + 2*t^5.565 + t^5.588 + t^5.782 - t^6. - t^4.282/y - t^4.282*y	detail
46871	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.7119	0.9046	0.787	[M:[0.9822, 0.9822, 1.119, 0.6785, 0.6785, 0.6785], q:[0.5773, 0.4405], qb:[0.4405, 0.7798], phi:[0.4405]]	3*t^2.036 + t^2.643 + 2*t^2.947 + t^3.357 + 2*t^3.661 + 7*t^4.071 + 2*t^4.375 + 3*t^4.679 + t^4.785 + 6*t^4.982 + t^5.286 + 3*t^5.393 + 6*t^5.696 + 3*t^5.893 - 4*t^6. - t^4.321/y - t^4.321*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
46331	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6704	0.8228	0.8147	[M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]]	t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. - t^4.319/y - t^4.319*y	detail