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
55121	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7198	0.9136	0.7879	[M:[0.9767, 0.9642, 1.1243, 0.8757, 0.6989, 0.7748, 0.6738], q:[0.5917, 0.4316], qb:[0.4441, 0.7811], phi:[0.4379]]	[M:[[1, -7], [-1, -11], [0, 4], [0, -4], [2, 10], [-1, -1], [-2, 2]], 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
${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$	${}$	-3	t^2.022 + t^2.097 + t^2.324 + 2*t^2.627 + t^2.892 + t^2.93 + t^3.638 + t^3.941 + t^4.043 + 2*t^4.118 + t^4.194 + t^4.346 + t^4.384 + 2*t^4.421 + 3*t^4.649 + 2*t^4.724 + t^4.864 + t^4.914 + 3*t^4.952 + t^4.989 + t^5.027 + t^5.217 + 4*t^5.254 + t^5.52 + t^5.557 + t^5.66 + t^5.735 + t^5.785 + t^5.823 + t^5.86 + t^5.962 - 3*t^6. + t^6.065 + 2*t^6.14 + 2*t^6.215 + 2*t^6.265 + t^6.29 - t^6.303 + t^6.367 + t^6.405 + 2*t^6.443 + 2*t^6.518 + t^6.53 + 2*t^6.568 + 3*t^6.67 + t^6.708 + 4*t^6.746 + 2*t^6.821 + t^6.885 + t^6.936 + t^6.961 + 4*t^6.973 + 2*t^7.011 + 4*t^7.048 + t^7.086 + t^7.124 + t^7.188 + t^7.238 + 6*t^7.276 + 3*t^7.351 + t^7.491 + 2*t^7.541 + 5*t^7.579 + t^7.654 + t^7.681 + t^7.756 - t^7.794 + t^7.806 + t^7.832 + 2*t^7.844 + 7*t^7.882 + t^7.919 + t^7.957 + t^7.984 - 3*t^8.022 + t^8.086 - 4*t^8.097 + t^8.109 + 2*t^8.147 + 2*t^8.161 + 2*t^8.185 + 2*t^8.237 + 2*t^8.287 + 2*t^8.312 - 5*t^8.324 + t^8.387 + t^8.389 - t^8.4 + t^8.412 + t^8.427 + t^8.45 + 2*t^8.464 + t^8.487 + t^8.502 + 2*t^8.539 + t^8.552 + 2*t^8.59 + 2*t^8.615 - 6*t^8.627 + t^8.677 + 3*t^8.692 + t^8.715 + t^8.729 + t^8.753 + 4*t^8.767 + t^8.79 + 4*t^8.842 + t^8.907 + 2*t^8.918 - 5*t^8.93 + t^8.957 - t^8.968 + 2*t^8.982 + 4*t^8.995 - t^4.314/y - t^6.335/y - t^6.41/y - t^6.638/y - t^6.941/y + t^7.118/y - t^7.206/y - t^7.244/y + t^7.346/y + t^7.384/y + (2*t^7.421)/y + (2*t^7.649)/y + t^7.686/y + (2*t^7.724)/y + t^7.914/y + (3*t^7.952)/y + (2*t^7.989)/y + t^8.027/y + (2*t^8.217)/y + (2*t^8.254)/y + t^8.292/y - t^8.357/y - t^8.432/y - t^8.507/y + (2*t^8.52)/y + (2*t^8.557)/y + t^8.823/y - t^4.314*y - t^6.335*y - t^6.41*y - t^6.638*y - t^6.941*y + t^7.118*y - t^7.206*y - t^7.244*y + t^7.346*y + t^7.384*y + 2*t^7.421*y + 2*t^7.649*y + t^7.686*y + 2*t^7.724*y + t^7.914*y + 3*t^7.952*y + 2*t^7.989*y + t^8.027*y + 2*t^8.217*y + 2*t^8.254*y + t^8.292*y - t^8.357*y - t^8.432*y - t^8.507*y + 2*t^8.52*y + 2*t^8.557*y + t^8.823*y	(g2^2*t^2.022)/g1^2 + g1^2*g2^10*t^2.097 + t^2.324/(g1*g2) + (2*t^2.627)/g2^4 + t^2.892/(g1*g2^11) + (g1*t^2.93)/g2^7 + t^3.638/(g1*g2^3) + t^3.941/g2^6 + (g2^4*t^4.043)/g1^4 + 2*g2^12*t^4.118 + g1^4*g2^20*t^4.194 + (g2*t^4.346)/g1^3 + (g2^5*t^4.384)/g1 + 2*g1*g2^9*t^4.421 + (3*t^4.649)/(g1^2*g2^2) + 2*g1^2*g2^6*t^4.724 + g2^20*t^4.864 + t^4.914/(g1^3*g2^9) + (3*t^4.952)/(g1*g2^5) + (g1*t^4.989)/g2 + g1^3*g2^3*t^5.027 + t^5.217/(g1^2*g2^12) + (4*t^5.254)/g2^8 + t^5.52/(g1*g2^15) + (g1*t^5.557)/g2^11 + t^5.66/(g1^3*g2) + g1*g2^7*t^5.735 + t^5.785/(g1^2*g2^22) + t^5.823/g2^18 + (g1^2*t^5.86)/g2^14 + t^5.962/(g1^2*g2^4) - 3*t^6. + (g2^6*t^6.065)/g1^6 + (2*g2^14*t^6.14)/g1^2 + 2*g1^2*g2^22*t^6.215 + (2*t^6.265)/(g1*g2^7) + g1^6*g2^30*t^6.29 - (g1*t^6.303)/g2^3 + (g2^3*t^6.367)/g1^5 + (g2^7*t^6.405)/g1^3 + (2*g2^11*t^6.443)/g1 + 2*g1^3*g2^19*t^6.518 + t^6.53/(g1^2*g2^14) + (2*t^6.568)/g2^10 + (3*t^6.67)/g1^4 + (g2^4*t^6.708)/g1^2 + 4*g2^8*t^6.746 + 2*g1^4*g2^16*t^6.821 + (g2^22*t^6.885)/g1^2 + t^6.936/(g1^5*g2^7) + g1^2*g2^30*t^6.961 + (4*t^6.973)/(g1^3*g2^3) + (2*g2*t^7.011)/g1 + 4*g1*g2^5*t^7.048 + g1^3*g2^9*t^7.086 + g1^5*g2^13*t^7.124 + (g2^19*t^7.188)/g1 + t^7.238/(g1^4*g2^10) + (6*t^7.276)/(g1^2*g2^6) + 3*g1^2*g2^2*t^7.351 + g2^16*t^7.491 + (2*t^7.541)/(g1^3*g2^13) + (5*t^7.579)/(g1*g2^9) + (g1^3*t^7.654)/g2 + (g2*t^7.681)/g1^5 + (g2^9*t^7.756)/g1 - g1*g2^13*t^7.794 + t^7.806/(g1^4*g2^20) + g1^3*g2^17*t^7.832 + (2*t^7.844)/(g1^2*g2^16) + (7*t^7.882)/g2^12 + (g1^2*t^7.919)/g2^8 + (g1^4*t^7.957)/g2^4 + t^7.984/(g1^4*g2^2) - (3*g2^2*t^8.022)/g1^2 + (g2^8*t^8.086)/g1^8 - 4*g1^2*g2^10*t^8.097 + t^8.109/(g1^3*g2^23) + (2*t^8.147)/(g1*g2^19) + (2*g2^16*t^8.161)/g1^4 + (2*g1*t^8.185)/g2^15 + 2*g2^24*t^8.237 + (2*t^8.287)/(g1^3*g2^5) + 2*g1^4*g2^32*t^8.312 - (5*t^8.324)/(g1*g2) + g1^8*g2^40*t^8.387 + (g2^5*t^8.389)/g1^7 - g1^3*g2^7*t^8.4 + t^8.412/(g1^2*g2^26) + (g2^9*t^8.427)/g1^5 + t^8.45/g2^22 + (2*g2^13*t^8.464)/g1^3 + (g1^2*t^8.487)/g2^18 + (g2^17*t^8.502)/g1 + 2*g1*g2^21*t^8.539 + t^8.552/(g1^4*g2^12) + (2*t^8.59)/(g1^2*g2^8) + 2*g1^5*g2^29*t^8.615 - (6*t^8.627)/g2^4 + t^8.677/(g1^3*g2^33) + (3*g2^2*t^8.692)/g1^6 + t^8.715/(g1*g2^29) + (g2^6*t^8.729)/g1^4 + (g1*t^8.753)/g2^25 + (4*g2^10*t^8.767)/g1^2 + (g1^3*t^8.79)/g2^21 + 4*g1^2*g2^18*t^8.842 + (g2^24*t^8.907)/g1^4 + 2*g1^6*g2^26*t^8.918 - (5*g1*t^8.93)/g2^7 + t^8.957/(g1^7*g2^5) - (g1^3*t^8.968)/g2^3 + 2*g2^32*t^8.982 + (4*t^8.995)/(g1^5*g2) - t^4.314/(g2^2*y) - t^6.335/(g1^2*y) - (g1^2*g2^8*t^6.41)/y - t^6.638/(g1*g2^3*y) - t^6.941/(g2^6*y) + (g2^12*t^7.118)/y - t^7.206/(g1*g2^13*y) - (g1*t^7.244)/(g2^9*y) + (g2*t^7.346)/(g1^3*y) + (g2^5*t^7.384)/(g1*y) + (2*g1*g2^9*t^7.421)/y + (2*t^7.649)/(g1^2*g2^2*y) + (g2^2*t^7.686)/y + (2*g1^2*g2^6*t^7.724)/y + t^7.914/(g1^3*g2^9*y) + (3*t^7.952)/(g1*g2^5*y) + (2*g1*t^7.989)/(g2*y) + (g1^3*g2^3*t^8.027)/y + (2*t^8.217)/(g1^2*g2^12*y) + (2*t^8.254)/(g2^8*y) + (g1^2*t^8.292)/(g2^4*y) - (g2^2*t^8.357)/(g1^4*y) - (g2^10*t^8.432)/y - (g1^4*g2^18*t^8.507)/y + (2*t^8.52)/(g1*g2^15*y) + (2*g1*t^8.557)/(g2^11*y) + t^8.823/(g2^18*y) - (t^4.314*y)/g2^2 - (t^6.335*y)/g1^2 - g1^2*g2^8*t^6.41*y - (t^6.638*y)/(g1*g2^3) - (t^6.941*y)/g2^6 + g2^12*t^7.118*y - (t^7.206*y)/(g1*g2^13) - (g1*t^7.244*y)/g2^9 + (g2*t^7.346*y)/g1^3 + (g2^5*t^7.384*y)/g1 + 2*g1*g2^9*t^7.421*y + (2*t^7.649*y)/(g1^2*g2^2) + g2^2*t^7.686*y + 2*g1^2*g2^6*t^7.724*y + (t^7.914*y)/(g1^3*g2^9) + (3*t^7.952*y)/(g1*g2^5) + (2*g1*t^7.989*y)/g2 + g1^3*g2^3*t^8.027*y + (2*t^8.217*y)/(g1^2*g2^12) + (2*t^8.254*y)/g2^8 + (g1^2*t^8.292*y)/g2^4 - (g2^2*t^8.357*y)/g1^4 - g2^10*t^8.432*y - g1^4*g2^18*t^8.507*y + (2*t^8.52*y)/(g1*g2^15) + (2*g1*t^8.557*y)/g2^11 + (t^8.823*y)/g2^18

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
56762	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.7406	0.9542	0.7762	[M:[0.9789, 0.9664, 1.1233, 0.8767, 0.6974, 0.7746, 0.6724, 0.6849], q:[0.589, 0.4321], qb:[0.4446, 0.7808], phi:[0.4384]]	t^2.017 + t^2.055 + t^2.092 + t^2.324 + 2*t^2.63 + t^2.899 + t^2.937 + t^3.639 + t^4.034 + t^4.072 + 3*t^4.109 + t^4.147 + t^4.184 + t^4.341 + 2*t^4.378 + 2*t^4.416 + 3*t^4.647 + 2*t^4.685 + 2*t^4.722 + t^4.849 + t^4.916 + 4*t^4.954 + 2*t^4.991 + t^5.029 + t^5.223 + 4*t^5.26 + t^5.529 + t^5.567 + t^5.656 + t^5.693 + t^5.731 + t^5.798 + t^5.836 + t^5.873 - 3*t^6. - t^4.315/y - t^4.315*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
46880	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.699	0.8725	0.8011	[M:[0.974, 0.9642, 1.1248, 0.8752, 0.697, 0.7763], q:[0.5933, 0.4327], qb:[0.4424, 0.7812], phi:[0.4376]]	t^2.091 + t^2.329 + 2*t^2.625 + t^2.893 + t^2.922 + t^3.642 + t^3.938 + t^3.967 + t^4.124 + t^4.182 + t^4.391 + 2*t^4.42 + t^4.658 + 2*t^4.716 + t^4.873 + 2*t^4.955 + t^4.984 + t^5.013 + t^5.222 + 4*t^5.251 + t^5.518 + t^5.547 + t^5.733 + t^5.785 + t^5.815 + t^5.844 - 3*t^6. - t^4.313/y - t^4.313*y	detail