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
956	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$	0.7143	0.8808	0.8109	[M:[1.0548, 0.8356, 0.8628, 1.0276, 0.9724, 0.9452], q:[0.5274, 0.4178], qb:[0.6098, 0.5546], phi:[0.4726]]	[M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-2, -2]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$	${}$	-3	t^2.507 + t^2.588 + 2*t^2.836 + t^2.917 + t^3.083 + t^3.246 + t^3.924 + t^4.253 + t^4.335 + t^4.501 + t^4.582 + t^4.664 + t^4.745 + t^4.829 + t^4.911 + t^5.013 + t^5.077 + t^5.095 + t^5.177 + 2*t^5.342 + 2*t^5.424 + t^5.505 + 3*t^5.671 + 2*t^5.753 + t^5.834 + t^5.918 - 3*t^6. + t^6.082 + t^6.163 - t^6.247 - t^6.329 - t^6.41 + t^6.431 + t^6.492 + t^6.513 - t^6.576 + 3*t^6.76 + 2*t^6.842 + t^6.923 + t^7.007 + 2*t^7.089 + 4*t^7.171 + 2*t^7.252 + t^7.334 + 2*t^7.336 + t^7.418 + 2*t^7.499 + t^7.52 + 3*t^7.581 + t^7.583 + t^7.602 + t^7.663 + t^7.665 + t^7.683 + t^7.765 + 3*t^7.849 + 2*t^7.912 + 2*t^7.931 + t^7.991 - t^7.994 + 2*t^8.012 - t^8.076 + t^8.094 + t^8.16 + 3*t^8.178 - t^8.241 + 4*t^8.259 + 2*t^8.341 + t^8.423 + 2*t^8.67 + t^8.752 + t^8.754 - 7*t^8.836 - 3*t^8.917 + t^8.938 + t^8.999 - t^4.418/y - t^6.924/y - t^7.006/y - t^7.253/y + t^7.582/y + t^7.829/y + t^7.911/y + t^8.095/y + (2*t^8.342)/y + (3*t^8.424)/y + t^8.505/y + t^8.59/y + (2*t^8.671)/y + (3*t^8.753)/y + t^8.834/y + (2*t^8.918)/y - t^4.418*y - t^6.924*y - t^7.006*y - t^7.253*y + t^7.582*y + t^7.829*y + t^7.911*y + t^8.095*y + 2*t^8.342*y + 3*t^8.424*y + t^8.505*y + t^8.59*y + 2*t^8.671*y + 3*t^8.753*y + t^8.834*y + 2*t^8.918*y	t^2.507/(g1^6*g2^6) + t^2.588/(g1^7*g2) + (2*t^2.836)/(g1^2*g2^2) + (g2^3*t^2.917)/g1^3 + (g1^3*t^3.083)/g2^3 + g1*g2^7*t^3.246 + t^3.924/(g1^7*g2^7) + t^4.253/(g1^3*g2^3) + (g2^2*t^4.335)/g1^4 + (g1^2*t^4.501)/g2^4 + g1*g2*t^4.582 + g2^6*t^4.664 + (g2^11*t^4.745)/g1 + g1^6*t^4.829 + g1^5*g2^5*t^4.911 + t^5.013/(g1^12*g2^12) + (g1^11*t^5.077)/g2 + t^5.095/(g1^13*g2^7) + t^5.177/(g1^14*g2^2) + (2*t^5.342)/(g1^8*g2^8) + (2*t^5.424)/(g1^9*g2^3) + (g2^2*t^5.505)/g1^10 + (3*t^5.671)/(g1^4*g2^4) + (2*g2*t^5.753)/g1^5 + (g2^6*t^5.834)/g1^6 + (g1*t^5.918)/g2^5 - 3*t^6. + (g2^5*t^6.082)/g1 + (g2^10*t^6.163)/g1^2 - (g1^5*t^6.247)/g2 - g1^4*g2^4*t^6.329 - g1^3*g2^9*t^6.41 + t^6.431/(g1^13*g2^13) + g1^2*g2^14*t^6.492 + t^6.513/(g1^14*g2^8) - g1^9*g2^3*t^6.576 + (3*t^6.76)/(g1^9*g2^9) + (2*t^6.842)/(g1^10*g2^4) + (g2*t^6.923)/g1^11 + t^7.007/(g1^4*g2^10) + (2*t^7.089)/(g1^5*g2^5) + (4*t^7.171)/g1^6 + (2*g2^5*t^7.252)/g1^7 + (g2^10*t^7.334)/g1^8 + (2*t^7.336)/g2^6 + t^7.418/(g1*g2) + (2*g2^4*t^7.499)/g1^2 + t^7.52/(g1^18*g2^18) + (3*g2^9*t^7.581)/g1^3 + (g1^5*t^7.583)/g2^7 + t^7.602/(g1^19*g2^13) + (g2^14*t^7.663)/g1^4 + (g1^4*t^7.665)/g2^2 + t^7.683/(g1^20*g2^8) + t^7.765/(g1^21*g2^3) + (3*t^7.849)/(g1^14*g2^14) + (2*g1^9*t^7.912)/g2^3 + (2*t^7.931)/(g1^15*g2^9) + g2^18*t^7.991 - g1^8*g2^2*t^7.994 + (2*t^8.012)/(g1^16*g2^4) - g1^7*g2^7*t^8.076 + (g2*t^8.094)/g1^17 + (g1^14*t^8.16)/g2^4 + (3*t^8.178)/(g1^10*g2^10) - g1^13*g2*t^8.241 + (4*t^8.259)/(g1^11*g2^5) + (2*t^8.341)/g1^12 + (g2^5*t^8.423)/g1^13 + (2*g2^4*t^8.67)/g1^8 + (g2^9*t^8.752)/g1^9 + t^8.754/(g1*g2^7) - (7*t^8.836)/(g1^2*g2^2) - (3*g2^3*t^8.917)/g1^3 + t^8.938/(g1^19*g2^19) + (g2^8*t^8.999)/g1^4 - t^4.418/(g1*g2*y) - t^6.924/(g1^7*g2^7*y) - t^7.006/(g1^8*g2^2*y) - t^7.253/(g1^3*g2^3*y) + (g1*g2*t^7.582)/y + (g1^6*t^7.829)/y + (g1^5*g2^5*t^7.911)/y + t^8.095/(g1^13*g2^7*y) + (2*t^8.342)/(g1^8*g2^8*y) + (3*t^8.424)/(g1^9*g2^3*y) + (g2^2*t^8.505)/(g1^10*y) + t^8.59/(g1^3*g2^9*y) + (2*t^8.671)/(g1^4*g2^4*y) + (3*g2*t^8.753)/(g1^5*y) + (g2^6*t^8.834)/(g1^6*y) + (2*g1*t^8.918)/(g2^5*y) - (t^4.418*y)/(g1*g2) - (t^6.924*y)/(g1^7*g2^7) - (t^7.006*y)/(g1^8*g2^2) - (t^7.253*y)/(g1^3*g2^3) + g1*g2*t^7.582*y + g1^6*t^7.829*y + g1^5*g2^5*t^7.911*y + (t^8.095*y)/(g1^13*g2^7) + (2*t^8.342*y)/(g1^8*g2^8) + (3*t^8.424*y)/(g1^9*g2^3) + (g2^2*t^8.505*y)/g1^10 + (t^8.59*y)/(g1^3*g2^9) + (2*t^8.671*y)/(g1^4*g2^4) + (3*g2*t^8.753*y)/g1^5 + (g2^6*t^8.834*y)/g1^6 + (2*g1*t^8.918*y)/g2^5

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
2093	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6865	0.8649	0.7938	[M:[1.0831, 0.7506, 0.6877, 1.1461, 0.8539, 0.9169], q:[0.5416, 0.3753], qb:[0.7708, 0.4786], phi:[0.4584]]	t^2.063 + t^2.252 + t^2.562 + 2*t^2.751 + t^3.061 + t^3.438 + t^3.627 + t^3.937 + 2*t^4.126 + t^4.247 + t^4.315 + t^4.436 + t^4.504 + 2*t^4.625 + 3*t^4.814 + 2*t^5.002 + 2*t^5.123 + 3*t^5.312 + 3*t^5.501 + t^5.622 + t^5.69 + t^5.811 + t^5.879 - t^6. - t^4.375/y - t^4.375*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
599	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$	0.7095	0.8721	0.8136	[M:[1.0487, 0.8538, 0.8746, 1.0279, 0.9721], q:[0.5244, 0.4269], qb:[0.601, 0.5452], phi:[0.4756]]	t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y	detail