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
763	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{6}$	0.6052	0.7542	0.8024	[X:[1.4621], M:[1.0006, 0.5379, 0.7674, 0.7686, 0.9994, 1.0006], q:[0.6912, 0.9245], qb:[0.3082, 0.5389], phi:[0.3843]]	[X:[[0, 1]], M:[[8, -5], [0, -1], [-20, 12], [-4, 2], [-8, 5], [8, -5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.302 + 2*t^2.306 + t^2.541 + 2*t^3.002 + t^3.69 + t^4.386 + t^4.39 + t^4.604 + 2*t^4.608 + 3*t^4.612 + t^4.843 + 3*t^4.847 + t^5.082 + t^5.304 + 3*t^5.308 + 2*t^5.543 + t^5.992 + t^5.996 - 3*t^6. + 2*t^6.004 + t^6.231 - t^6.457 - t^6.461 + t^6.688 + 3*t^6.692 + t^6.906 + 2*t^6.91 + 3*t^6.914 + 4*t^6.918 + t^6.927 + t^6.931 + t^7.145 + 2*t^7.149 + 3*t^7.153 - t^7.157 + t^7.381 + 2*t^7.388 + t^7.392 + t^7.606 + t^7.61 + 4*t^7.614 + t^7.623 - t^7.845 + 3*t^7.849 + t^8.077 + t^8.084 + t^8.295 + t^8.298 - 2*t^8.302 - 5*t^8.306 + 2*t^8.31 + t^8.534 + t^8.537 - 5*t^8.541 + t^8.545 - t^8.759 - 2*t^8.763 - t^8.767 + 2*t^8.773 + t^8.776 + t^8.78 + t^8.991 + 2*t^8.994 + t^8.998 - t^4.153/y - t^6.455/y - (2*t^6.459)/y + t^7.151/y - t^7.155/y + (2*t^7.608)/y + t^7.612/y + t^7.843/y + (4*t^7.847)/y + t^7.851/y + (2*t^8.304)/y + (4*t^8.308)/y + (2*t^8.543)/y - t^8.757/y - (2*t^8.761)/y - (3*t^8.765)/y + t^8.992/y + (2*t^8.996)/y - t^4.153*y - t^6.455*y - 2*t^6.459*y + t^7.151*y - t^7.155*y + 2*t^7.608*y + t^7.612*y + t^7.843*y + 4*t^7.847*y + t^7.851*y + 2*t^8.304*y + 4*t^8.308*y + 2*t^8.543*y - t^8.757*y - 2*t^8.761*y - 3*t^8.765*y + t^8.992*y + 2*t^8.996*y	(g2^12*t^2.302)/g1^20 + (2*g2^2*t^2.306)/g1^4 + (g1^6*t^2.541)/g2^3 + (2*g1^8*t^3.002)/g2^5 + (g2^8*t^3.69)/g1^12 + g2*t^4.386 + (g1^16*t^4.39)/g2^9 + (g2^24*t^4.604)/g1^40 + (2*g2^14*t^4.608)/g1^24 + (3*g2^4*t^4.612)/g1^8 + (g2^9*t^4.843)/g1^14 + (3*g1^2*t^4.847)/g2 + (g1^12*t^5.082)/g2^6 + (g2^7*t^5.304)/g1^12 + (3*g1^4*t^5.308)/g2^3 + (2*g1^14*t^5.543)/g2^8 + (g2^20*t^5.992)/g1^32 + (g2^10*t^5.996)/g1^16 - 3*t^6. + (2*g1^16*t^6.004)/g2^10 + (g2^5*t^6.231)/g1^6 - (g2^8*t^6.457)/g1^14 - (g1^2*t^6.461)/g2^2 + (g2^13*t^6.688)/g1^20 + (3*g2^3*t^6.692)/g1^4 + (g2^36*t^6.906)/g1^60 + (2*g2^26*t^6.91)/g1^44 + (3*g2^16*t^6.914)/g1^28 + (4*g2^6*t^6.918)/g1^12 + (g1^6*t^6.927)/g2^2 + (g1^22*t^6.931)/g2^12 + (g2^21*t^7.145)/g1^34 + (2*g2^11*t^7.149)/g1^18 + (3*g2*t^7.153)/g1^2 - (g1^14*t^7.157)/g2^9 + (g2^16*t^7.381)/g1^24 + (2*g1^8*t^7.388)/g2^4 + (g1^24*t^7.392)/g2^14 + (g2^19*t^7.606)/g1^32 + (g2^9*t^7.61)/g1^16 + (4*t^7.614)/g2 + (g1^18*t^7.623)/g2^9 - (g2^4*t^7.845)/g1^6 + (3*g1^10*t^7.849)/g2^6 + (g2^9*t^8.077)/g1^12 + (g1^20*t^8.084)/g2^11 + (g2^32*t^8.295)/g1^52 + (g2^22*t^8.298)/g1^36 - (2*g2^12*t^8.302)/g1^20 - (5*g2^2*t^8.306)/g1^4 + (2*g1^12*t^8.31)/g2^8 + (g2^17*t^8.534)/g1^26 + (g2^7*t^8.537)/g1^10 - (5*g1^6*t^8.541)/g2^3 + (g1^22*t^8.545)/g2^13 - (g2^20*t^8.759)/g1^34 - (2*g2^10*t^8.763)/g1^18 - t^8.767/g1^2 + 2*g2^2*t^8.773 + (g1^16*t^8.776)/g2^8 + (g1^32*t^8.78)/g2^18 + (g2^25*t^8.991)/g1^40 + (2*g2^15*t^8.994)/g1^24 + (g2^5*t^8.998)/g1^8 - (g2*t^4.153)/(g1^2*y) - (g2^13*t^6.455)/(g1^22*y) - (2*g2^3*t^6.459)/(g1^6*y) + (g2^6*t^7.151)/(g1^10*y) - (g1^6*t^7.155)/(g2^4*y) + (2*g2^14*t^7.608)/(g1^24*y) + (g2^4*t^7.612)/(g1^8*y) + (g2^9*t^7.843)/(g1^14*y) + (4*g1^2*t^7.847)/(g2*y) + (g1^18*t^7.851)/(g2^11*y) + (2*g2^7*t^8.304)/(g1^12*y) + (4*g1^4*t^8.308)/(g2^3*y) + (2*g1^14*t^8.543)/(g2^8*y) - (g2^25*t^8.757)/(g1^42*y) - (2*g2^15*t^8.761)/(g1^26*y) - (3*g2^5*t^8.765)/(g1^10*y) + (g2^20*t^8.992)/(g1^32*y) + (2*g2^10*t^8.996)/(g1^16*y) - (g2*t^4.153*y)/g1^2 - (g2^13*t^6.455*y)/g1^22 - (2*g2^3*t^6.459*y)/g1^6 + (g2^6*t^7.151*y)/g1^10 - (g1^6*t^7.155*y)/g2^4 + (2*g2^14*t^7.608*y)/g1^24 + (g2^4*t^7.612*y)/g1^8 + (g2^9*t^7.843*y)/g1^14 + (4*g1^2*t^7.847*y)/g2 + (g1^18*t^7.851*y)/g2^11 + (2*g2^7*t^8.304*y)/g1^12 + (4*g1^4*t^8.308*y)/g2^3 + (2*g1^14*t^8.543*y)/g2^8 - (g2^25*t^8.757*y)/g1^42 - (2*g2^15*t^8.761*y)/g1^26 - (3*g2^5*t^8.765*y)/g1^10 + (g2^20*t^8.992*y)/g1^32 + (2*g2^10*t^8.996*y)/g1^16

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
1995	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6243	0.7889	0.7913	[X:[1.4964], M:[0.9868, 0.5036, 0.7848, 0.7584, 1.0132, 0.9868, 0.732], q:[0.7094, 0.9114], qb:[0.3038, 0.5586], phi:[0.3792]]	t^2.196 + 2*t^2.275 + t^2.354 + t^2.587 + 2*t^2.96 + t^4.392 + t^4.41 + 2*t^4.471 + t^4.489 + 4*t^4.55 + 2*t^4.63 + t^4.709 + t^4.783 + 3*t^4.862 + t^4.941 + 2*t^5.157 + t^5.174 + 3*t^5.236 + t^5.315 + 2*t^5.548 + 2*t^5.921 - 3*t^6. - t^4.138/y - t^4.138*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
474	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$	0.606	0.7574	0.8002	[X:[1.4386], M:[1.0179, 0.5614, 0.736, 0.7718, 0.9821], q:[0.6661, 0.948], qb:[0.316, 0.5264], phi:[0.3859]]	t^2.208 + 2*t^2.315 + t^2.527 + t^2.946 + t^3.054 + t^3.577 + t^4.316 + t^4.416 + t^4.423 + 2*t^4.523 + 3*t^4.631 + t^4.735 + 3*t^4.842 + t^5.054 + t^5.154 + 2*t^5.262 + t^5.369 + t^5.473 + t^5.581 + t^5.785 + 2*t^5.893 - 2*t^6. - t^4.158/y - t^4.158*y	detail