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
1740	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6348	0.8263	0.7683	[M:[1.0, 0.8719, 0.7258, 0.6781], q:[0.766, 0.234], qb:[0.5722, 0.5559], phi:[0.468]]	[M:[[0, 0], [-8, -8], [-5, 3], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	${}$	-3	t^2.034 + t^2.178 + t^2.37 + t^2.419 + t^2.616 + 2*t^2.808 + t^3. + t^3.774 + t^4.015 + t^4.069 + t^4.212 + t^4.355 + t^4.404 + t^4.453 + t^4.547 + t^4.596 + t^4.65 + 2*t^4.739 + 2*t^4.788 + t^4.793 + 2*t^4.837 + 2*t^4.842 + 2*t^4.985 + t^5.034 + 3*t^5.178 + 2*t^5.226 + t^5.232 + t^5.37 + t^5.419 + 2*t^5.424 + 4*t^5.616 + 2*t^5.808 - 3*t^6. + t^6.103 + t^6.143 + t^6.192 + t^6.246 + t^6.389 + t^6.433 + t^6.487 + t^6.533 + 2*t^6.581 + t^6.63 + t^6.685 + t^6.725 + 2*t^6.774 + 2*t^6.822 + t^6.828 + 2*t^6.871 + 2*t^6.877 + 2*t^6.917 + t^6.971 + t^7.015 + 2*t^7.02 + t^7.069 + 2*t^7.109 + 2*t^7.158 + 2*t^7.163 + 2*t^7.207 + 3*t^7.212 + 2*t^7.256 + 2*t^7.261 + t^7.266 + 3*t^7.355 + t^7.404 + t^7.409 + t^7.453 + 2*t^7.458 + 5*t^7.547 + 2*t^7.596 + 2*t^7.601 + 3*t^7.645 + 4*t^7.65 + t^7.739 + t^7.788 + 4*t^7.793 + t^7.837 + 2*t^7.842 + t^7.847 - t^7.931 - t^7.98 + 4*t^7.985 + 2*t^8.04 + t^8.137 - t^8.178 + t^8.226 + 4*t^8.232 + t^8.281 - 4*t^8.37 - 5*t^8.419 + 6*t^8.424 + 2*t^8.513 + t^8.522 - t^8.562 + t^8.567 + t^8.665 + t^8.71 + t^8.719 - 6*t^8.808 + 2*t^8.852 + t^8.862 + t^8.902 + 2*t^8.906 + 2*t^8.911 + 3*t^8.951 - t^4.404/y - t^6.438/y - t^6.581/y - t^7.02/y + t^7.404/y + t^7.453/y + t^7.547/y + (2*t^7.596)/y + t^7.65/y + (2*t^7.788)/y + t^7.793/y + (2*t^7.842)/y + (3*t^7.985)/y + (2*t^8.034)/y + (3*t^8.178)/y + (3*t^8.226)/y + (2*t^8.37)/y + t^8.419/y + (2*t^8.424)/y - t^8.473/y + t^8.616/y - t^8.759/y + (3*t^8.808)/y + t^8.951/y - t^4.404*y - t^6.438*y - t^6.581*y - t^7.02*y + t^7.404*y + t^7.453*y + t^7.547*y + 2*t^7.596*y + t^7.65*y + 2*t^7.788*y + t^7.793*y + 2*t^7.842*y + 3*t^7.985*y + 2*t^8.034*y + 3*t^8.178*y + 3*t^8.226*y + 2*t^8.37*y + t^8.419*y + 2*t^8.424*y - t^8.473*y + t^8.616*y - t^8.759*y + 3*t^8.808*y + t^8.951*y	t^2.034/(g1*g2^9) + (g2^3*t^2.178)/g1^5 + (g2^7*t^2.37)/g1 + (g1^7*t^2.419)/g2 + t^2.616/(g1^8*g2^8) + (2*t^2.808)/(g1^4*g2^4) + t^3. + (g2^5*t^3.774)/g1^3 + g1^9*g2*t^4.015 + t^4.069/(g1^2*g2^18) + t^4.212/(g1^6*g2^6) + (g2^6*t^4.355)/g1^10 + t^4.404/(g1^2*g2^2) + (g1^6*t^4.453)/g2^10 + (g2^10*t^4.547)/g1^6 + g1^2*g2^2*t^4.596 + t^4.65/(g1^9*g2^17) + (2*g2^14*t^4.739)/g1^2 + 2*g1^6*g2^6*t^4.788 + t^4.793/(g1^13*g2^5) + (2*g1^14*t^4.837)/g2^2 + (2*t^4.842)/(g1^5*g2^13) + (2*t^4.985)/(g1^9*g2) + t^5.034/(g1*g2^9) + (3*g2^3*t^5.178)/g1^5 + (2*g1^3*t^5.226)/g2^5 + t^5.232/(g1^16*g2^16) + (g2^7*t^5.37)/g1 + (g1^7*t^5.419)/g2 + (2*t^5.424)/(g1^12*g2^12) + (4*t^5.616)/(g1^8*g2^8) + (2*t^5.808)/(g1^4*g2^4) - 3*t^6. + t^6.103/(g1^3*g2^27) + (g2^12*t^6.143)/g1^4 + g1^4*g2^4*t^6.192 + t^6.246/(g1^7*g2^15) + t^6.389/(g1^11*g2^3) + g1^16*t^6.433 + (g1^5*t^6.487)/g2^19 + (g2^9*t^6.533)/g1^15 + (2*g2*t^6.581)/g1^7 + (g1*t^6.63)/g2^7 + t^6.685/(g1^10*g2^26) + (g2^13*t^6.725)/g1^11 + (2*g2^5*t^6.774)/g1^3 + (2*g1^5*t^6.822)/g2^3 + t^6.828/(g1^14*g2^14) + (2*g1^13*t^6.871)/g2^11 + (2*t^6.877)/(g1^6*g2^22) + (2*g2^17*t^6.917)/g1^7 + t^6.971/(g1^18*g2^2) + g1^9*g2*t^7.015 + (2*t^7.02)/(g1^10*g2^10) + t^7.069/(g1^2*g2^18) + (2*g2^21*t^7.109)/g1^3 + 2*g1^5*g2^13*t^7.158 + (2*g2^2*t^7.163)/g1^14 + 2*g1^13*g2^5*t^7.207 + (3*t^7.212)/(g1^6*g2^6) + (2*g1^21*t^7.256)/g2^3 + (2*g1^2*t^7.261)/g2^14 + t^7.266/(g1^17*g2^25) + (3*g2^6*t^7.355)/g1^10 + t^7.404/(g1^2*g2^2) + t^7.409/(g1^21*g2^13) + (g1^6*t^7.453)/g2^10 + (2*t^7.458)/(g1^13*g2^21) + (5*g2^10*t^7.547)/g1^6 + 2*g1^2*g2^2*t^7.596 + (2*t^7.601)/(g1^17*g2^9) + (3*g1^10*t^7.645)/g2^6 + (4*t^7.65)/(g1^9*g2^17) + (g2^14*t^7.739)/g1^2 + g1^6*g2^6*t^7.788 + (4*t^7.793)/(g1^13*g2^5) + (g1^14*t^7.837)/g2^2 + (2*t^7.842)/(g1^5*g2^13) + t^7.847/(g1^24*g2^24) - g1^2*g2^18*t^7.931 - g1^10*g2^10*t^7.98 + (4*t^7.985)/(g1^9*g2) + (2*t^8.04)/(g1^20*g2^20) + t^8.137/(g1^4*g2^36) - (g2^3*t^8.178)/g1^5 + (g1^3*t^8.226)/g2^5 + (4*t^8.232)/(g1^16*g2^16) + t^8.281/(g1^8*g2^24) - (4*g2^7*t^8.37)/g1 - (5*g1^7*t^8.419)/g2 + (6*t^8.424)/(g1^12*g2^12) + (2*g2^19*t^8.513)/g1^5 + (g1^4*t^8.522)/g2^28 - g1^3*g2^11*t^8.562 + t^8.567/g1^16 + t^8.665/g2^16 + (g2^12*t^8.71)/g1^20 + t^8.719/(g1^11*g2^35) - (6*t^8.808)/(g1^4*g2^4) + (2*g1^23*t^8.852)/g2 + t^8.862/(g1^15*g2^23) + (g2^16*t^8.902)/g1^16 + (2*g1^12*t^8.906)/g2^20 + (2*t^8.911)/(g1^7*g2^31) + (3*g2^8*t^8.951)/g1^8 - t^4.404/(g1^2*g2^2*y) - t^6.438/(g1^3*g2^11*y) - (g2*t^6.581)/(g1^7*y) - t^7.02/(g1^10*g2^10*y) + t^7.404/(g1^2*g2^2*y) + (g1^6*t^7.453)/(g2^10*y) + (g2^10*t^7.547)/(g1^6*y) + (2*g1^2*g2^2*t^7.596)/y + t^7.65/(g1^9*g2^17*y) + (2*g1^6*g2^6*t^7.788)/y + t^7.793/(g1^13*g2^5*y) + (2*t^7.842)/(g1^5*g2^13*y) + (3*t^7.985)/(g1^9*g2*y) + (2*t^8.034)/(g1*g2^9*y) + (3*g2^3*t^8.178)/(g1^5*y) + (3*g1^3*t^8.226)/(g2^5*y) + (2*g2^7*t^8.37)/(g1*y) + (g1^7*t^8.419)/(g2*y) + (2*t^8.424)/(g1^12*g2^12*y) - t^8.473/(g1^4*g2^20*y) + t^8.616/(g1^8*g2^8*y) - (g2^4*t^8.759)/(g1^12*y) + (3*t^8.808)/(g1^4*g2^4*y) + (g2^8*t^8.951)/(g1^8*y) - (t^4.404*y)/(g1^2*g2^2) - (t^6.438*y)/(g1^3*g2^11) - (g2*t^6.581*y)/g1^7 - (t^7.02*y)/(g1^10*g2^10) + (t^7.404*y)/(g1^2*g2^2) + (g1^6*t^7.453*y)/g2^10 + (g2^10*t^7.547*y)/g1^6 + 2*g1^2*g2^2*t^7.596*y + (t^7.65*y)/(g1^9*g2^17) + 2*g1^6*g2^6*t^7.788*y + (t^7.793*y)/(g1^13*g2^5) + (2*t^7.842*y)/(g1^5*g2^13) + (3*t^7.985*y)/(g1^9*g2) + (2*t^8.034*y)/(g1*g2^9) + (3*g2^3*t^8.178*y)/g1^5 + (3*g1^3*t^8.226*y)/g2^5 + (2*g2^7*t^8.37*y)/g1 + (g1^7*t^8.419*y)/g2 + (2*t^8.424*y)/(g1^12*g2^12) - (t^8.473*y)/(g1^4*g2^20) + (t^8.616*y)/(g1^8*g2^8) - (g2^4*t^8.759*y)/g1^12 + (3*t^8.808*y)/(g1^4*g2^4) + (g2^8*t^8.951*y)/g1^8

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
2742	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$	0.6262	0.8118	0.7713	[M:[1.0, 0.9403, 0.7392, 0.716, 1.0597], q:[0.7575, 0.2425], qb:[0.5332, 0.5265], phi:[0.4851]]	t^2.148 + t^2.218 + t^2.307 + t^2.327 + 2*t^2.91 + t^3. + t^3.179 + t^3.762 + t^3.872 + t^4.296 + t^4.366 + t^4.435 + t^4.455 + t^4.475 + t^4.525 + t^4.545 + 2*t^4.614 + 2*t^4.634 + 2*t^4.655 + 2*t^5.058 + t^5.128 + 3*t^5.218 + 2*t^5.238 + t^5.307 + 2*t^5.327 + t^5.397 + t^5.486 + t^5.506 + 3*t^5.821 + 2*t^5.91 - 3*t^6. - t^4.455/y - t^4.455*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
217	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$	0.614	0.7856	0.7817	[M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]]	t^2.173 + t^2.36 + t^2.42 + t^2.626 + 2*t^2.813 + t^3. + t^3.767 + t^3.954 + t^4.014 + t^4.346 + t^4.533 + t^4.593 + 2*t^4.72 + 2*t^4.78 + t^4.799 + 2*t^4.841 + 2*t^4.986 + 3*t^5.173 + 2*t^5.233 + t^5.252 + t^5.36 + t^5.42 + 2*t^5.439 + 4*t^5.626 + t^5.813 - 3*t^6. - t^4.407/y - t^4.407*y	detail