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
1806	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6543	0.8625	0.7586	[M:[1.0, 0.8707, 0.7335, 0.7342, 0.6689], q:[0.7662, 0.2338], qb:[0.565, 0.5643], phi:[0.4677]]	[M:[[0, 0], [-8, -8], [-5, 3], [3, -5], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$	${}$	-3	t^2.007 + t^2.201 + t^2.203 + t^2.394 + t^2.396 + t^2.612 + 2*t^2.806 + t^3. + t^3.991 + t^4.013 + t^4.207 + t^4.209 + 2*t^4.401 + 2*t^4.403 + t^4.405 + t^4.595 + 2*t^4.597 + t^4.599 + t^4.619 + 2*t^4.789 + 2*t^4.791 + 2*t^4.793 + 3*t^4.813 + t^4.815 + 3*t^5.007 + 2*t^5.009 + 3*t^5.201 + 3*t^5.203 + t^5.224 + t^5.394 + t^5.396 + 2*t^5.418 + 4*t^5.612 + t^5.806 - 3*t^6. - t^6.002 + t^6.02 + t^6.192 + t^6.214 + t^6.216 + t^6.386 + 2*t^6.408 + t^6.41 + 2*t^6.602 + 3*t^6.604 + t^6.606 + t^6.608 + t^6.626 + 3*t^6.796 + 4*t^6.797 + 2*t^6.799 + t^6.801 + 3*t^6.819 + t^6.821 + 2*t^6.989 + 3*t^6.991 + 2*t^6.993 + 2*t^6.995 + 4*t^7.013 + 3*t^7.015 + t^7.017 + 2*t^7.183 + 2*t^7.185 + 2*t^7.187 + 2*t^7.189 + 5*t^7.207 + 5*t^7.209 + 2*t^7.211 + t^7.231 + 4*t^7.401 + 4*t^7.403 + 3*t^7.405 + 3*t^7.425 + t^7.427 + 4*t^7.595 + 3*t^7.597 + 4*t^7.599 + 6*t^7.619 + 2*t^7.621 + t^7.789 + t^7.793 + 5*t^7.813 + 4*t^7.815 + t^7.837 - t^7.985 - t^7.987 + t^8.007 + 3*t^8.009 + t^8.027 + 2*t^8.031 - 3*t^8.201 - 3*t^8.203 - t^8.204 + t^8.221 + t^8.222 + 4*t^8.224 + t^8.392 - 5*t^8.394 - 5*t^8.396 - t^8.398 + 2*t^8.414 + t^8.416 + 5*t^8.418 + t^8.586 - 2*t^8.588 - 3*t^8.59 + 2*t^8.608 + 2*t^8.61 - 2*t^8.612 + t^8.632 + 2*t^8.78 + 4*t^8.802 + 3*t^8.804 - 6*t^8.806 - t^8.808 + t^8.81 + 3*t^8.826 + t^8.828 + 3*t^8.996 + 4*t^8.998 - t^4.403/y - t^6.41/y - t^6.604/y - t^6.606/y - t^7.015/y + t^7.207/y + t^7.401/y + (2*t^7.403)/y + t^7.595/y + (3*t^7.597)/y + t^7.599/y + t^7.619/y + (2*t^7.791)/y + (3*t^7.813)/y + t^7.815/y + (4*t^8.007)/y + (3*t^8.009)/y + (4*t^8.201)/y + (4*t^8.203)/y + t^8.394/y + (2*t^8.396)/y - t^8.416/y + (2*t^8.418)/y - t^8.61/y + t^8.612/y - t^8.804/y + t^8.806/y - t^8.808/y + t^8.998/y - t^4.403*y - t^6.41*y - t^6.604*y - t^6.606*y - t^7.015*y + t^7.207*y + t^7.401*y + 2*t^7.403*y + t^7.595*y + 3*t^7.597*y + t^7.599*y + t^7.619*y + 2*t^7.791*y + 3*t^7.813*y + t^7.815*y + 4*t^8.007*y + 3*t^8.009*y + 4*t^8.201*y + 4*t^8.203*y + t^8.394*y + 2*t^8.396*y - t^8.416*y + 2*t^8.418*y - t^8.61*y + t^8.612*y - t^8.804*y + t^8.806*y - t^8.808*y + t^8.998*y	t^2.007/(g1^9*g2) + (g2^3*t^2.201)/g1^5 + (g1^3*t^2.203)/g2^5 + (g2^7*t^2.394)/g1 + (g1^7*t^2.396)/g2 + t^2.612/(g1^8*g2^8) + (2*t^2.806)/(g1^4*g2^4) + t^3. + g1*g2^9*t^3.991 + t^4.013/(g1^18*g2^2) + (g2^2*t^4.207)/g1^14 + t^4.209/(g1^6*g2^6) + (2*g2^6*t^4.401)/g1^10 + (2*t^4.403)/(g1^2*g2^2) + (g1^6*t^4.405)/g2^10 + (g2^10*t^4.595)/g1^6 + 2*g1^2*g2^2*t^4.597 + (g1^10*t^4.599)/g2^6 + t^4.619/(g1^17*g2^9) + (2*g2^14*t^4.789)/g1^2 + 2*g1^6*g2^6*t^4.791 + (2*g1^14*t^4.793)/g2^2 + (3*t^4.813)/(g1^13*g2^5) + t^4.815/(g1^5*g2^13) + (3*t^5.007)/(g1^9*g2) + (2*t^5.009)/(g1*g2^9) + (3*g2^3*t^5.201)/g1^5 + (3*g1^3*t^5.203)/g2^5 + t^5.224/(g1^16*g2^16) + (g2^7*t^5.394)/g1 + (g1^7*t^5.396)/g2 + (2*t^5.418)/(g1^12*g2^12) + (4*t^5.612)/(g1^8*g2^8) + t^5.806/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.002)/g2^8 + t^6.02/(g1^27*g2^3) + (g2^12*t^6.192)/g1^4 + (g2*t^6.214)/g1^23 + t^6.216/(g1^15*g2^7) + g2^16*t^6.386 + (2*g2^5*t^6.408)/g1^19 + t^6.41/(g1^11*g2^3) + (2*g2^9*t^6.602)/g1^15 + (3*g2*t^6.604)/g1^7 + (g1*t^6.606)/g2^7 + (g1^9*t^6.608)/g2^15 + t^6.626/(g1^26*g2^10) + (3*g2^13*t^6.796)/g1^11 + (4*g2^5*t^6.797)/g1^3 + (2*g1^5*t^6.799)/g2^3 + (g1^13*t^6.801)/g2^11 + (3*t^6.819)/(g1^22*g2^6) + t^6.821/(g1^14*g2^14) + (2*g2^17*t^6.989)/g1^7 + 3*g1*g2^9*t^6.991 + 2*g1^9*g2*t^6.993 + (2*g1^17*t^6.995)/g2^7 + (4*t^7.013)/(g1^18*g2^2) + (3*t^7.015)/(g1^10*g2^10) + t^7.017/(g1^2*g2^18) + (2*g2^21*t^7.183)/g1^3 + 2*g1^5*g2^13*t^7.185 + 2*g1^13*g2^5*t^7.187 + (2*g1^21*t^7.189)/g2^3 + (5*g2^2*t^7.207)/g1^14 + (5*t^7.209)/(g1^6*g2^6) + (2*g1^2*t^7.211)/g2^14 + t^7.231/(g1^25*g2^17) + (4*g2^6*t^7.401)/g1^10 + (4*t^7.403)/(g1^2*g2^2) + (3*g1^6*t^7.405)/g2^10 + (3*t^7.425)/(g1^21*g2^13) + t^7.427/(g1^13*g2^21) + (4*g2^10*t^7.595)/g1^6 + 3*g1^2*g2^2*t^7.597 + (4*g1^10*t^7.599)/g2^6 + (6*t^7.619)/(g1^17*g2^9) + (2*t^7.621)/(g1^9*g2^17) + (g2^14*t^7.789)/g1^2 + (g1^14*t^7.793)/g2^2 + (5*t^7.813)/(g1^13*g2^5) + (4*t^7.815)/(g1^5*g2^13) + t^7.837/(g1^24*g2^24) - g1^10*g2^10*t^7.985 - g1^18*g2^2*t^7.987 + t^8.007/(g1^9*g2) + (3*t^8.009)/(g1*g2^9) + t^8.027/(g1^36*g2^4) + (2*t^8.031)/(g1^20*g2^20) - (3*g2^3*t^8.201)/g1^5 - (3*g1^3*t^8.203)/g2^5 - (g1^11*t^8.204)/g2^13 + t^8.221/g1^32 + t^8.222/(g1^24*g2^8) + (4*t^8.224)/(g1^16*g2^16) + (g2^15*t^8.392)/g1^9 - (5*g2^7*t^8.394)/g1 - (5*g1^7*t^8.396)/g2 - (g1^15*t^8.398)/g2^9 + (2*g2^4*t^8.414)/g1^28 + t^8.416/(g1^20*g2^4) + (5*t^8.418)/(g1^12*g2^12) + (g2^19*t^8.586)/g1^5 - 2*g1^3*g2^11*t^8.588 - 3*g1^11*g2^3*t^8.59 + (2*g2^8*t^8.608)/g1^24 + (2*t^8.61)/g1^16 - (2*t^8.612)/(g1^8*g2^8) + t^8.632/(g1^35*g2^11) + (2*g2^23*t^8.78)/g1 + (4*g2^12*t^8.802)/g1^20 + (3*g2^4*t^8.804)/g1^12 - (6*t^8.806)/(g1^4*g2^4) - (g1^4*t^8.808)/g2^12 + (g1^12*t^8.81)/g2^20 + (3*t^8.826)/(g1^31*g2^7) + t^8.828/(g1^23*g2^15) + (3*g2^16*t^8.996)/g1^16 + (4*g2^8*t^8.998)/g1^8 - t^4.403/(g1^2*g2^2*y) - t^6.41/(g1^11*g2^3*y) - (g2*t^6.604)/(g1^7*y) - (g1*t^6.606)/(g2^7*y) - t^7.015/(g1^10*g2^10*y) + (g2^2*t^7.207)/(g1^14*y) + (g2^6*t^7.401)/(g1^10*y) + (2*t^7.403)/(g1^2*g2^2*y) + (g2^10*t^7.595)/(g1^6*y) + (3*g1^2*g2^2*t^7.597)/y + (g1^10*t^7.599)/(g2^6*y) + t^7.619/(g1^17*g2^9*y) + (2*g1^6*g2^6*t^7.791)/y + (3*t^7.813)/(g1^13*g2^5*y) + t^7.815/(g1^5*g2^13*y) + (4*t^8.007)/(g1^9*g2*y) + (3*t^8.009)/(g1*g2^9*y) + (4*g2^3*t^8.201)/(g1^5*y) + (4*g1^3*t^8.203)/(g2^5*y) + (g2^7*t^8.394)/(g1*y) + (2*g1^7*t^8.396)/(g2*y) - t^8.416/(g1^20*g2^4*y) + (2*t^8.418)/(g1^12*g2^12*y) - t^8.61/(g1^16*y) + t^8.612/(g1^8*g2^8*y) - (g2^4*t^8.804)/(g1^12*y) + t^8.806/(g1^4*g2^4*y) - (g1^4*t^8.808)/(g2^12*y) + (g2^8*t^8.998)/(g1^8*y) - (t^4.403*y)/(g1^2*g2^2) - (t^6.41*y)/(g1^11*g2^3) - (g2*t^6.604*y)/g1^7 - (g1*t^6.606*y)/g2^7 - (t^7.015*y)/(g1^10*g2^10) + (g2^2*t^7.207*y)/g1^14 + (g2^6*t^7.401*y)/g1^10 + (2*t^7.403*y)/(g1^2*g2^2) + (g2^10*t^7.595*y)/g1^6 + 3*g1^2*g2^2*t^7.597*y + (g1^10*t^7.599*y)/g2^6 + (t^7.619*y)/(g1^17*g2^9) + 2*g1^6*g2^6*t^7.791*y + (3*t^7.813*y)/(g1^13*g2^5) + (t^7.815*y)/(g1^5*g2^13) + (4*t^8.007*y)/(g1^9*g2) + (3*t^8.009*y)/(g1*g2^9) + (4*g2^3*t^8.201*y)/g1^5 + (4*g1^3*t^8.203*y)/g2^5 + (g2^7*t^8.394*y)/g1 + (2*g1^7*t^8.396*y)/g2 - (t^8.416*y)/(g1^20*g2^4) + (2*t^8.418*y)/(g1^12*g2^12) - (t^8.61*y)/g1^16 + (t^8.612*y)/(g1^8*g2^8) - (g2^4*t^8.804*y)/g1^12 + (t^8.806*y)/(g1^4*g2^4) - (g1^4*t^8.808*y)/g2^12 + (g2^8*t^8.998*y)/g1^8

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
2820	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6752	0.9041	0.7468	[M:[1.0, 0.8701, 0.7338, 0.7338, 0.6688, 0.6688], q:[0.7662, 0.2338], qb:[0.5649, 0.5649], phi:[0.4675]]	2*t^2.006 + 2*t^2.201 + 2*t^2.396 + t^2.61 + 2*t^2.805 + t^3. + 3*t^4.013 + 4*t^4.208 + 7*t^4.403 + 4*t^4.597 + 2*t^4.617 + 6*t^4.792 + 6*t^4.812 + 6*t^5.006 + 6*t^5.201 + t^5.221 + 2*t^5.396 + 2*t^5.416 + 4*t^5.61 + t^5.805 - 5*t^6. - t^4.403/y - t^4.403*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
347	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6335	0.821	0.7716	[M:[1.0, 0.8714, 0.7339, 0.7339], q:[0.7661, 0.2339], qb:[0.5643, 0.5643], phi:[0.4678]]	2*t^2.202 + 2*t^2.395 + t^2.614 + 2*t^2.807 + t^3. + 2*t^3.991 + 3*t^4.404 + 4*t^4.596 + 6*t^4.789 + 2*t^4.816 + 4*t^5.009 + 6*t^5.202 + t^5.228 + 2*t^5.395 + 2*t^5.421 + 4*t^5.614 + t^5.807 - 5*t^6. - t^4.404/y - t^4.404*y	detail