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
47098	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.7409	0.9251	0.8009	[M:[0.9764, 1.0, 1.0236, 0.8474, 0.8238, 0.6908], q:[0.4237, 0.5999], qb:[0.5763, 0.5527], phi:[0.4618]]	[M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [5, 0]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-2	t^2.072 + t^2.471 + t^2.542 + t^2.771 + t^2.929 + t^3. + t^3.071 + t^3.387 + t^4.145 + t^4.315 + t^4.386 + t^4.456 + t^4.544 + t^4.614 + t^4.702 + t^4.772 + 3*t^4.843 + t^4.914 + t^4.943 + t^4.985 + t^5.001 + t^5.014 + t^5.072 + t^5.084 + t^5.143 + t^5.242 + t^5.313 + t^5.4 + t^5.459 + t^5.471 + 2*t^5.542 + t^5.7 + t^5.771 + t^5.842 + t^5.858 - 2*t^6. - t^6.071 + t^6.158 + t^6.217 + t^6.316 + t^6.387 + t^6.616 + t^6.687 + 2*t^6.774 + t^6.786 + t^6.845 + t^6.857 + 3*t^6.916 + t^6.928 + t^6.986 + t^7.015 + t^7.057 + t^7.074 + 2*t^7.086 + t^7.145 + t^7.157 + t^7.173 + t^7.215 + t^7.228 + 2*t^7.244 + 3*t^7.315 + 3*t^7.386 + t^7.414 + t^7.456 + 2*t^7.473 + t^7.485 + t^7.527 + t^7.531 + t^7.544 + t^7.556 + 3*t^7.614 + t^7.627 + t^7.631 + 2*t^7.702 + t^7.714 + t^7.756 + 3*t^7.772 + t^7.785 + 2*t^7.843 + t^7.855 + t^7.872 + 2*t^7.914 + t^7.943 + t^7.985 - t^8.001 + 2*t^8.014 + t^8.056 - 4*t^8.072 + t^8.084 + t^8.089 - 2*t^8.143 + t^8.159 + t^8.172 - t^8.214 + 2*t^8.23 + t^8.242 + t^8.289 + 2*t^8.313 + t^8.33 + t^8.388 + t^8.459 - 2*t^8.471 - 3*t^8.542 - t^8.613 + t^8.629 + t^8.688 + t^8.759 - 2*t^8.771 + t^8.787 - t^8.842 + 2*t^8.846 + t^8.917 - 3*t^8.929 + 3*t^8.988 - t^4.386/y - t^6.458/y - t^6.857/y - t^6.928/y - t^7.157/y + t^7.544/y + (2*t^7.614)/y + (2*t^7.843)/y + t^7.914/y + t^8.001/y + t^8.014/y + t^8.072/y + t^8.143/y + t^8.242/y + (2*t^8.313)/y + t^8.4/y + t^8.459/y + (2*t^8.471)/y - t^8.53/y + (2*t^8.542)/y + t^8.613/y + t^8.7/y + t^8.771/y + t^8.842/y + t^8.858/y + t^8.929/y - t^4.386*y - t^6.458*y - t^6.857*y - t^6.928*y - t^7.157*y + t^7.544*y + 2*t^7.614*y + 2*t^7.843*y + t^7.914*y + t^8.001*y + t^8.014*y + t^8.072*y + t^8.143*y + t^8.242*y + 2*t^8.313*y + t^8.4*y + t^8.459*y + 2*t^8.471*y - t^8.53*y + 2*t^8.542*y + t^8.613*y + t^8.7*y + t^8.771*y + t^8.842*y + t^8.858*y + t^8.929*y	g1^5*t^2.072 + (g2*t^2.471)/g1^6 + t^2.542/g1^4 + t^2.771/g1^2 + (g2*t^2.929)/g1^2 + t^3. + (g1^2*t^3.071)/g2 + g1^2*g2*t^3.387 + g1^10*t^4.145 + (g2*t^4.315)/g1^3 + t^4.386/g1 + (g1*t^4.456)/g2 + (g2*t^4.544)/g1 + g1*t^4.614 + (g2^2*t^4.702)/g1 + g1*g2*t^4.772 + 3*g1^3*t^4.843 + (g1^5*t^4.914)/g2 + (g2^2*t^4.943)/g1^12 + (g1^7*t^4.985)/g2^2 + g1^3*g2*t^5.001 + (g2*t^5.014)/g1^10 + g1^5*t^5.072 + t^5.084/g1^8 + (g1^7*t^5.143)/g2 + (g2*t^5.242)/g1^8 + t^5.313/g1^6 + (g2^2*t^5.4)/g1^8 + g1^7*g2*t^5.459 + (g2*t^5.471)/g1^6 + (2*t^5.542)/g1^4 + (g2*t^5.7)/g1^4 + t^5.771/g1^2 + t^5.842/g2 + (g2^2*t^5.858)/g1^4 - 2*t^6. - (g1^2*t^6.071)/g2 + g2*t^6.158 + g1^15*t^6.217 + g2^2*t^6.316 + g1^2*g2*t^6.387 + g1^4*g2*t^6.616 + g1^6*t^6.687 + 2*g1^4*g2^2*t^6.774 + (g2^2*t^6.786)/g1^9 + g1^6*g2*t^6.845 + (g2*t^6.857)/g1^7 + 3*g1^8*t^6.916 + t^6.928/g1^5 + (g1^10*t^6.986)/g2 + (g2^2*t^7.015)/g1^7 + (g1^12*t^7.057)/g2^2 + g1^8*g2*t^7.074 + (2*g2*t^7.086)/g1^5 + g1^10*t^7.145 + t^7.157/g1^3 + (g2^3*t^7.173)/g1^7 + (g1^12*t^7.215)/g2 + t^7.228/(g1*g2) + (2*g2^2*t^7.244)/g1^5 + (3*g2*t^7.315)/g1^3 + (3*t^7.386)/g1 + (g2^3*t^7.414)/g1^18 + (g1*t^7.456)/g2 + (2*g2^2*t^7.473)/g1^3 + (g2^2*t^7.485)/g1^16 + (g1^3*t^7.527)/g2^2 + g1^12*g2*t^7.531 + (g2*t^7.544)/g1 + (g2*t^7.556)/g1^14 + 3*g1*t^7.614 + t^7.627/g1^12 + (g2^3*t^7.631)/g1^3 + (2*g2^2*t^7.702)/g1 + (g2^2*t^7.714)/g1^14 + (g1^5*t^7.756)/g2^2 + 3*g1*g2*t^7.772 + (g2*t^7.785)/g1^12 + 2*g1^3*t^7.843 + t^7.855/g1^10 + (g2^3*t^7.872)/g1^14 + (2*g1^5*t^7.914)/g2 + (g2^2*t^7.943)/g1^12 + (g1^7*t^7.985)/g2^2 - g1^3*g2*t^8.001 + (2*g2*t^8.014)/g1^10 + (g1^9*t^8.056)/g2^3 - 4*g1^5*t^8.072 + t^8.084/g1^8 + g1*g2^3*t^8.089 - (2*g1^7*t^8.143)/g2 + g1^3*g2^2*t^8.159 + (g2^2*t^8.172)/g1^10 - (g1^9*t^8.214)/g2^2 + 2*g1^5*g2*t^8.23 + (g2*t^8.242)/g1^8 + g1^20*t^8.289 + (2*t^8.313)/g1^6 + (g2^3*t^8.33)/g1^10 + g1^5*g2^2*t^8.388 + g1^7*g2*t^8.459 - (2*g2*t^8.471)/g1^6 - (3*t^8.542)/g1^4 - t^8.613/(g1^2*g2) + (g2^2*t^8.629)/g1^6 + g1^9*g2*t^8.688 + g1^11*t^8.759 - (2*t^8.771)/g1^2 + (g2^3*t^8.787)/g1^6 - t^8.842/g2 + 2*g1^9*g2^2*t^8.846 + g1^11*g2*t^8.917 - (3*g2*t^8.929)/g1^2 + 3*g1^13*t^8.988 - t^4.386/(g1*y) - (g1^4*t^6.458)/y - (g2*t^6.857)/(g1^7*y) - t^6.928/(g1^5*y) - t^7.157/(g1^3*y) + (g2*t^7.544)/(g1*y) + (2*g1*t^7.614)/y + (2*g1^3*t^7.843)/y + (g1^5*t^7.914)/(g2*y) + (g1^3*g2*t^8.001)/y + (g2*t^8.014)/(g1^10*y) + (g1^5*t^8.072)/y + (g1^7*t^8.143)/(g2*y) + (g2*t^8.242)/(g1^8*y) + (2*t^8.313)/(g1^6*y) + (g2^2*t^8.4)/(g1^8*y) + (g1^7*g2*t^8.459)/y + (2*g2*t^8.471)/(g1^6*y) - (g1^9*t^8.53)/y + (2*t^8.542)/(g1^4*y) + t^8.613/(g1^2*g2*y) + (g2*t^8.7)/(g1^4*y) + t^8.771/(g1^2*y) + t^8.842/(g2*y) + (g2^2*t^8.858)/(g1^4*y) + (g2*t^8.929)/(g1^2*y) - (t^4.386*y)/g1 - g1^4*t^6.458*y - (g2*t^6.857*y)/g1^7 - (t^6.928*y)/g1^5 - (t^7.157*y)/g1^3 + (g2*t^7.544*y)/g1 + 2*g1*t^7.614*y + 2*g1^3*t^7.843*y + (g1^5*t^7.914*y)/g2 + g1^3*g2*t^8.001*y + (g2*t^8.014*y)/g1^10 + g1^5*t^8.072*y + (g1^7*t^8.143*y)/g2 + (g2*t^8.242*y)/g1^8 + (2*t^8.313*y)/g1^6 + (g2^2*t^8.4*y)/g1^8 + g1^7*g2*t^8.459*y + (2*g2*t^8.471*y)/g1^6 - g1^9*t^8.53*y + (2*t^8.542*y)/g1^4 + (t^8.613*y)/(g1^2*g2) + (g2*t^8.7*y)/g1^4 + (t^8.771*y)/g1^2 + (t^8.842*y)/g2 + (g2^2*t^8.858*y)/g1^4 + (g2*t^8.929*y)/g1^2

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
50850	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$	0.6844	0.8552	0.8003	[M:[1.1117, 1.0, 0.8883, 0.6894, 0.8011, 0.8883], q:[0.3447, 0.5436], qb:[0.6553, 0.767], phi:[0.4223]]	t^2.068 + t^2.403 + t^2.534 + 2*t^2.665 + t^3. + t^3.335 + t^3.932 + t^4.136 + 2*t^4.267 + t^4.471 + t^4.529 + 2*t^4.602 + t^4.733 + t^4.806 + t^4.864 + t^4.937 + 3*t^5.068 + 4*t^5.199 + 2*t^5.33 + t^5.403 + 2*t^5.534 + t^5.738 + 2*t^5.869 - t^6. - t^4.267/y - t^4.267*y	detail
55694	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$	0.7401	0.9227	0.802	[M:[1.0065, 1.0, 0.9935, 0.845, 0.8515, 0.6938, 0.9935], q:[0.4225, 0.571], qb:[0.5775, 0.584], phi:[0.4612]]	t^2.081 + t^2.535 + t^2.555 + t^2.767 + 2*t^2.98 + t^3. + t^3.485 + t^4.163 + t^4.364 + t^4.384 + t^4.403 + t^4.616 + t^4.636 + t^4.81 + t^4.829 + 3*t^4.849 + t^4.868 + t^4.888 + 2*t^5.062 + t^5.07 + t^5.081 + t^5.09 + t^5.109 + t^5.302 + t^5.322 + t^5.515 + 3*t^5.535 + t^5.566 + 2*t^5.748 + t^5.767 + 2*t^5.961 - 3*t^6. - t^4.384/y - t^4.384*y	detail
54581	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$	0.6692	0.8294	0.8069	[X:[1.4271], M:[0.8647, 1.0, 1.1353, 0.7083, 0.5729, 0.8647], q:[0.3541, 0.7812], qb:[0.6459, 0.5105], phi:[0.4271]]	t^2.125 + t^2.562 + 2*t^2.594 + t^3. + t^3.406 + t^3.469 + t^3.875 + t^4.25 + 2*t^4.281 + t^4.344 + 2*t^4.687 + t^4.719 + t^4.75 + t^5.125 + 4*t^5.156 + 2*t^5.188 + 2*t^5.562 + t^5.594 + 2*t^5.968 - t^6. - t^4.281/y - t^4.281*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
46450	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$	0.7203	0.8855	0.8134	[M:[0.9769, 1.0, 1.0231, 0.8402, 0.8171], q:[0.4201, 0.603], qb:[0.5799, 0.5568], phi:[0.4601]]	t^2.451 + t^2.521 + t^2.76 + t^2.931 + t^3. + t^3.069 + t^3.41 + t^3.901 + t^4.311 + t^4.38 + t^4.449 + t^4.721 + t^4.79 + 2*t^4.859 + t^4.903 + t^4.929 + t^4.972 + t^4.998 + t^5.041 + t^5.212 + t^5.281 + t^5.382 + t^5.451 + 2*t^5.521 + t^5.691 + t^5.76 + t^5.83 + t^5.861 - 2*t^6. - t^4.38/y - t^4.38*y	detail