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
1154	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.7264	0.9268	0.7838	[M:[0.9847, 1.1179, 0.9847, 0.7795, 0.7795, 0.6769, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]]	[M:[[-7, 1], [4, 0], [-11, -1], [-1, -1], [3, 1], [10, 2], [2, -2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$	${}M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$	-2	2*t^2.031 + 2*t^2.338 + t^2.646 + 2*t^2.954 + t^3.354 + t^3.969 + 4*t^4.061 + 6*t^4.369 + 5*t^4.677 + t^4.769 + 6*t^4.985 + 5*t^5.292 + 2*t^5.384 + 2*t^5.692 + 3*t^5.908 - 2*t^6. + 6*t^6.092 + 2*t^6.308 + 10*t^6.4 + 13*t^6.708 + 2*t^6.8 + 14*t^7.015 + 2*t^7.107 + 11*t^7.323 + 4*t^7.415 + 6*t^7.631 + 4*t^7.723 + 7*t^7.939 - 5*t^8.031 + 9*t^8.123 + 6*t^8.246 - 6*t^8.338 + 14*t^8.431 - t^8.646 + 20*t^8.738 + 4*t^8.83 + 4*t^8.862 - 10*t^8.954 - t^4.323/y - (2*t^6.354)/y - (2*t^6.662)/y + t^7.061/y - (2*t^7.277)/y + (6*t^7.369)/y + (3*t^7.677)/y + (8*t^7.985)/y + (6*t^8.292)/y - t^8.384/y + (2*t^8.6)/y - (2*t^8.692)/y + t^8.908/y - t^4.323*y - 2*t^6.354*y - 2*t^6.662*y + t^7.061*y - 2*t^7.277*y + 6*t^7.369*y + 3*t^7.677*y + 8*t^7.985*y + 6*t^8.292*y - t^8.384*y + 2*t^8.6*y - 2*t^8.692*y + t^8.908*y	(g1^2*t^2.031)/g2^2 + g1^10*g2^2*t^2.031 + t^2.338/(g1*g2) + g1^3*g2*t^2.338 + t^2.646/g1^4 + t^2.954/(g1^11*g2) + (g2*t^2.954)/g1^7 + g1^4*t^3.354 + t^3.969/g1^6 + 2*g1^12*t^4.061 + (g1^4*t^4.061)/g2^4 + g1^20*g2^4*t^4.061 + (g1*t^4.369)/g2^3 + (2*g1^5*t^4.369)/g2 + 2*g1^9*g2*t^4.369 + g1^13*g2^3*t^4.369 + g1^2*t^4.677 + (2*t^4.677)/(g1^2*g2^2) + 2*g1^6*g2^2*t^4.677 + g1^20*t^4.769 + t^4.985/(g1^9*g2^3) + (2*t^4.985)/(g1^5*g2) + (2*g2*t^4.985)/g1 + g1^3*g2^3*t^4.985 + (3*t^5.292)/g1^8 + t^5.292/(g1^12*g2^2) + (g2^2*t^5.292)/g1^4 + (g1^6*t^5.384)/g2^2 + g1^14*g2^2*t^5.384 + (g1^3*t^5.692)/g2 + g1^7*g2*t^5.692 + t^5.908/g1^18 + t^5.908/(g1^22*g2^2) + (g2^2*t^5.908)/g1^14 - 2*t^6. + (g1^6*t^6.092)/g2^6 + (2*g1^14*t^6.092)/g2^2 + 2*g1^22*g2^2*t^6.092 + g1^30*g2^6*t^6.092 + t^6.308/(g1^7*g2) + (g2*t^6.308)/g1^3 + (g1^3*t^6.4)/g2^5 + (2*g1^7*t^6.4)/g2^3 + (2*g1^11*t^6.4)/g2 + 2*g1^15*g2*t^6.4 + 2*g1^19*g2^3*t^6.4 + g1^23*g2^5*t^6.4 + 5*g1^8*t^6.708 + (2*t^6.708)/g2^4 + (2*g1^4*t^6.708)/g2^2 + 2*g1^12*g2^2*t^6.708 + 2*g1^16*g2^4*t^6.708 + (g1^22*t^6.8)/g2^2 + g1^30*g2^2*t^6.8 + t^7.015/(g1^7*g2^5) + (3*t^7.015)/(g1^3*g2^3) + (3*g1*t^7.015)/g2 + 3*g1^5*g2*t^7.015 + 3*g1^9*g2^3*t^7.015 + g1^13*g2^5*t^7.015 + (g1^19*t^7.107)/g2 + g1^23*g2*t^7.107 + (3*t^7.323)/g1^2 + t^7.323/(g1^10*g2^4) + (3*t^7.323)/(g1^6*g2^2) + 3*g1^2*g2^2*t^7.323 + g1^6*g2^4*t^7.323 + 2*g1^16*t^7.415 + (g1^8*t^7.415)/g2^4 + g1^24*g2^4*t^7.415 + t^7.631/(g1^13*g2^3) + (2*t^7.631)/(g1^9*g2) + (2*g2*t^7.631)/g1^5 + (g2^3*t^7.631)/g1 + (g1^5*t^7.723)/g2^3 + (g1^9*t^7.723)/g2 + g1^13*g2*t^7.723 + g1^17*g2^3*t^7.723 + (3*t^7.939)/g1^12 + t^7.939/(g1^20*g2^4) + t^7.939/(g1^16*g2^2) + (g2^2*t^7.939)/g1^8 + (g2^4*t^7.939)/g1^4 - g1^6*t^8.031 - (2*g1^2*t^8.031)/g2^2 - 2*g1^10*g2^2*t^8.031 + 3*g1^24*t^8.123 + (g1^8*t^8.123)/g2^8 + (2*g1^16*t^8.123)/g2^4 + 2*g1^32*g2^4*t^8.123 + g1^40*g2^8*t^8.123 + t^8.246/(g1^23*g2^3) + (2*t^8.246)/(g1^19*g2) + (2*g2*t^8.246)/g1^15 + (g2^3*t^8.246)/g1^11 - (3*t^8.338)/(g1*g2) - 3*g1^3*g2*t^8.338 + (g1^5*t^8.431)/g2^7 + (2*g1^9*t^8.431)/g2^5 + (2*g1^13*t^8.431)/g2^3 + (2*g1^17*t^8.431)/g2 + 2*g1^21*g2*t^8.431 + 2*g1^25*g2^3*t^8.431 + 2*g1^29*g2^5*t^8.431 + g1^33*g2^7*t^8.431 - t^8.646/g1^4 + 2*g1^14*t^8.738 + (2*g1^2*t^8.738)/g2^6 + (2*g1^6*t^8.738)/g2^4 + (5*g1^10*t^8.738)/g2^2 + 5*g1^18*g2^2*t^8.738 + 2*g1^22*g2^4*t^8.738 + 2*g1^26*g2^6*t^8.738 + 2*g1^32*t^8.83 + (g1^24*t^8.83)/g2^4 + g1^40*g2^4*t^8.83 + t^8.862/(g1^33*g2^3) + t^8.862/(g1^29*g2) + (g2*t^8.862)/g1^25 + (g2^3*t^8.862)/g1^21 - t^8.954/(g1^15*g2^3) - (4*t^8.954)/(g1^11*g2) - (4*g2*t^8.954)/g1^7 - (g2^3*t^8.954)/g1^3 - t^4.323/(g1^2*y) - t^6.354/(g2^2*y) - (g1^8*g2^2*t^6.354)/y - t^6.662/(g1^3*g2*y) - (g1*g2*t^6.662)/y + (g1^12*t^7.061)/y - t^7.277/(g1^13*g2*y) - (g2*t^7.277)/(g1^9*y) + (g1*t^7.369)/(g2^3*y) + (2*g1^5*t^7.369)/(g2*y) + (2*g1^9*g2*t^7.369)/y + (g1^13*g2^3*t^7.369)/y + (g1^2*t^7.677)/y + t^7.677/(g1^2*g2^2*y) + (g1^6*g2^2*t^7.677)/y + t^7.985/(g1^9*g2^3*y) + (3*t^7.985)/(g1^5*g2*y) + (3*g2*t^7.985)/(g1*y) + (g1^3*g2^3*t^7.985)/y + (2*t^8.292)/(g1^8*y) + (2*t^8.292)/(g1^12*g2^2*y) + (2*g2^2*t^8.292)/(g1^4*y) - (g1^10*t^8.384)/y - (g1^2*t^8.384)/(g2^4*y) + (g1^6*t^8.384)/(g2^2*y) + (g1^14*g2^2*t^8.384)/y - (g1^18*g2^4*t^8.384)/y + t^8.6/(g1^15*g2*y) + (g2*t^8.6)/(g1^11*y) - t^8.692/(g1*g2^3*y) - (g1^11*g2^3*t^8.692)/y + t^8.908/(g1^18*y) - (t^4.323*y)/g1^2 - (t^6.354*y)/g2^2 - g1^8*g2^2*t^6.354*y - (t^6.662*y)/(g1^3*g2) - g1*g2*t^6.662*y + g1^12*t^7.061*y - (t^7.277*y)/(g1^13*g2) - (g2*t^7.277*y)/g1^9 + (g1*t^7.369*y)/g2^3 + (2*g1^5*t^7.369*y)/g2 + 2*g1^9*g2*t^7.369*y + g1^13*g2^3*t^7.369*y + g1^2*t^7.677*y + (t^7.677*y)/(g1^2*g2^2) + g1^6*g2^2*t^7.677*y + (t^7.985*y)/(g1^9*g2^3) + (3*t^7.985*y)/(g1^5*g2) + (3*g2*t^7.985*y)/g1 + g1^3*g2^3*t^7.985*y + (2*t^8.292*y)/g1^8 + (2*t^8.292*y)/(g1^12*g2^2) + (2*g2^2*t^8.292*y)/g1^4 - g1^10*t^8.384*y - (g1^2*t^8.384*y)/g2^4 + (g1^6*t^8.384*y)/g2^2 + g1^14*g2^2*t^8.384*y - g1^18*g2^4*t^8.384*y + (t^8.6*y)/(g1^15*g2) + (g2*t^8.6*y)/g1^11 - (t^8.692*y)/(g1*g2^3) - g1^11*g2^3*t^8.692*y + (t^8.908*y)/g1^18

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
2207	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$	0.7372	0.9444	0.7806	[M:[0.9725, 1.1233, 0.9725, 0.7808, 0.7808, 0.685, 0.685, 0.8767], q:[0.7808, 0.4383], qb:[0.5891, 0.4383], phi:[0.4383]]	2*t^2.055 + 2*t^2.342 + 2*t^2.63 + 2*t^2.918 + t^3.945 + 4*t^4.11 + 6*t^4.397 + 7*t^4.685 + t^4.85 + 8*t^4.973 + 7*t^5.26 + 2*t^5.548 + 3*t^5.835 - 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
707	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.7056	0.886	0.7965	[M:[0.9809, 1.1188, 0.9847, 0.7816, 0.7778, 0.6744], q:[0.7797, 0.4425], qb:[0.5766, 0.4387], phi:[0.4406]]	t^2.023 + t^2.333 + t^2.345 + t^2.644 + t^2.943 + t^2.954 + t^3.356 + t^3.954 + t^3.966 + t^4.046 + t^4.069 + t^4.357 + 2*t^4.368 + t^4.379 + 2*t^4.667 + t^4.678 + t^4.689 + t^4.781 + t^4.966 + 2*t^4.977 + t^4.988 + t^5.276 + 3*t^5.287 + t^5.299 + t^5.379 + t^5.69 + t^5.701 + t^5.885 + t^5.897 + t^5.908 + t^5.977 - 2*t^6. - t^4.322/y - t^4.322*y	detail