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
47111	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$	0.7344	0.9115	0.8058	[M:[0.8102, 0.8102, 1.0, 1.0, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.5949, 0.4051], phi:[0.4525]]	[M:[[1, 6], [0, 4], [-1, -2], [0, 0], [1, 2], [-1, 2]], q:[[-1, -4], [0, -2]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$	${}M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$	-4	3*t^2.431 + t^2.715 + 3*t^3. + t^3.788 + 3*t^4.358 + 6*t^4.861 + 6*t^4.927 + 3*t^5.146 + 7*t^5.431 + 3*t^5.715 - 4*t^6. + 3*t^6.219 + t^6.504 - 4*t^6.569 + 9*t^6.788 + 2*t^7.073 + 10*t^7.292 + 15*t^7.358 + 7*t^7.576 + 3*t^7.642 + 12*t^7.861 + 6*t^7.927 + 10*t^8.146 - 6*t^8.212 - 12*t^8.431 - 3*t^8.496 + 6*t^8.649 + 2*t^8.715 + 3*t^8.934 - t^4.358/y - (3*t^6.788)/y - t^7.073/y + t^7.642/y + (3*t^7.861)/y + (3*t^7.927)/y + (3*t^8.146)/y + (9*t^8.431)/y + (3*t^8.715)/y - t^4.358*y - 3*t^6.788*y - t^7.073*y + t^7.642*y + 3*t^7.861*y + 3*t^7.927*y + 3*t^8.146*y + 9*t^8.431*y + 3*t^8.715*y	(g2^2*t^2.431)/g1 + g2^4*t^2.431 + g1*g2^6*t^2.431 + g2^2*t^2.715 + t^3. + t^3./(g1*g2^2) + g1*g2^2*t^3. + g2^5*t^3.788 + t^4.358/(g1*g2) + g2*t^4.358 + g1*g2^3*t^4.358 + (g2^4*t^4.861)/g1^2 + (g2^6*t^4.861)/g1 + 2*g2^8*t^4.861 + g1*g2^10*t^4.861 + g1^2*g2^12*t^4.861 + t^4.927/(g1^2*g2^7) + t^4.927/(g1*g2^5) + (2*t^4.927)/g2^3 + (g1*t^4.927)/g2 + g1^2*g2*t^4.927 + (g2^4*t^5.146)/g1 + g2^6*t^5.146 + g1*g2^8*t^5.146 + t^5.431/g1^2 + (g2^2*t^5.431)/g1 + 3*g2^4*t^5.431 + g1*g2^6*t^5.431 + g1^2*g2^8*t^5.431 + t^5.715/g1 + g2^2*t^5.715 + g1*g2^4*t^5.715 - 2*t^6. - t^6./(g1*g2^2) - g1*g2^2*t^6. + (g2^7*t^6.219)/g1 + g2^9*t^6.219 + g1*g2^11*t^6.219 + g2^7*t^6.504 - t^6.569/(g1*g2^6) - (2*t^6.569)/g2^4 - (g1*t^6.569)/g2^2 + (g2*t^6.788)/g1^2 + (2*g2^3*t^6.788)/g1 + 3*g2^5*t^6.788 + 2*g1*g2^7*t^6.788 + g1^2*g2^9*t^6.788 + (g2*t^7.073)/g1 + g1*g2^5*t^7.073 + (g2^6*t^7.292)/g1^3 + (g2^8*t^7.292)/g1^2 + (2*g2^10*t^7.292)/g1 + 2*g2^12*t^7.292 + 2*g1*g2^14*t^7.292 + g1^2*g2^16*t^7.292 + g1^3*g2^18*t^7.292 + t^7.358/(g1^3*g2^5) + (2*t^7.358)/(g1^2*g2^3) + (3*t^7.358)/(g1*g2) + 3*g2*t^7.358 + 3*g1*g2^3*t^7.358 + 2*g1^2*g2^5*t^7.358 + g1^3*g2^7*t^7.358 + (g2^6*t^7.576)/g1^2 + (g2^8*t^7.576)/g1 + 3*g2^10*t^7.576 + g1*g2^12*t^7.576 + g1^2*g2^14*t^7.576 + t^7.642/(g1^2*g2^5) + t^7.642/g2 + g1^2*g2^3*t^7.642 + (g2^2*t^7.861)/g1^3 + (g2^4*t^7.861)/g1^2 + (3*g2^6*t^7.861)/g1 + 2*g2^8*t^7.861 + 3*g1*g2^10*t^7.861 + g1^2*g2^12*t^7.861 + g1^3*g2^14*t^7.861 + t^7.927/(g1^3*g2^9) + t^7.927/(g1^2*g2^7) + t^7.927/(g1*g2^5) + (g1*t^7.927)/g2 + g1^2*g2*t^7.927 + g1^3*g2^3*t^7.927 + (g2^2*t^8.146)/g1^2 + (2*g2^4*t^8.146)/g1 + 4*g2^6*t^8.146 + 2*g1*g2^8*t^8.146 + g1^2*g2^10*t^8.146 - t^8.212/(g1^2*g2^9) - t^8.212/(g1*g2^7) - (2*t^8.212)/g2^5 - (g1*t^8.212)/g2^3 - (g1^2*t^8.212)/g2 - t^8.431/g1^2 - (3*g2^2*t^8.431)/g1 - 4*g2^4*t^8.431 - 3*g1*g2^6*t^8.431 - g1^2*g2^8*t^8.431 - t^8.496/(g1*g2^9) - t^8.496/g2^7 - (g1*t^8.496)/g2^5 + (g2^9*t^8.649)/g1^2 + (g2^11*t^8.649)/g1 + 2*g2^13*t^8.649 + g1*g2^15*t^8.649 + g1^2*g2^17*t^8.649 + t^8.715/(g1^2*g2^2) + g1^2*g2^6*t^8.715 + (g2^9*t^8.934)/g1 + g2^11*t^8.934 + g1*g2^13*t^8.934 - (g2*t^4.358)/y - (g2^3*t^6.788)/(g1*y) - (g2^5*t^6.788)/y - (g1*g2^7*t^6.788)/y - (g2^3*t^7.073)/y + t^7.642/(g2*y) + (g2^6*t^7.861)/(g1*y) + (g2^8*t^7.861)/y + (g1*g2^10*t^7.861)/y + t^7.927/(g1*g2^5*y) + t^7.927/(g2^3*y) + (g1*t^7.927)/(g2*y) + (g2^4*t^8.146)/(g1*y) + (g2^6*t^8.146)/y + (g1*g2^8*t^8.146)/y + t^8.431/(g1^2*y) + (2*g2^2*t^8.431)/(g1*y) + (3*g2^4*t^8.431)/y + (2*g1*g2^6*t^8.431)/y + (g1^2*g2^8*t^8.431)/y + t^8.715/(g1*y) + (g2^2*t^8.715)/y + (g1*g2^4*t^8.715)/y - g2*t^4.358*y - (g2^3*t^6.788*y)/g1 - g2^5*t^6.788*y - g1*g2^7*t^6.788*y - g2^3*t^7.073*y + (t^7.642*y)/g2 + (g2^6*t^7.861*y)/g1 + g2^8*t^7.861*y + g1*g2^10*t^7.861*y + (t^7.927*y)/(g1*g2^5) + (t^7.927*y)/g2^3 + (g1*t^7.927*y)/g2 + (g2^4*t^8.146*y)/g1 + g2^6*t^8.146*y + g1*g2^8*t^8.146*y + (t^8.431*y)/g1^2 + (2*g2^2*t^8.431*y)/g1 + 3*g2^4*t^8.431*y + 2*g1*g2^6*t^8.431*y + g1^2*g2^8*t^8.431*y + (t^8.715*y)/g1 + g2^2*t^8.715*y + g1*g2^4*t^8.715*y

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
55482	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}^{2}$ + ${ }M_{5}M_{7}$	0.7357	0.9145	0.8046	[M:[0.8378, 0.8102, 0.9724, 1.0, 1.0276, 0.7826, 0.9724], q:[0.5673, 0.5949], qb:[0.6225, 0.4051], phi:[0.4525]]	t^2.348 + t^2.431 + t^2.513 + t^2.715 + 2*t^2.917 + t^3. + t^3.788 + t^4.275 + t^4.358 + t^4.44 + t^4.696 + t^4.762 + t^4.778 + t^4.844 + 2*t^4.861 + 2*t^4.927 + t^4.944 + t^5.01 + t^5.027 + t^5.063 + t^5.093 + t^5.146 + t^5.229 + 2*t^5.265 + 2*t^5.348 + 3*t^5.431 + 2*t^5.633 + t^5.715 + 2*t^5.834 - 3*t^6. - t^4.358/y - t^4.358*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
46406	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$	0.7478	0.9314	0.8029	[M:[0.7502, 0.889, 1.0, 0.8612, 1.0, 0.7502], q:[0.5555, 0.6943], qb:[0.5555, 0.4445], phi:[0.4375]]	2*t^2.251 + t^2.584 + t^2.625 + t^2.667 + 2*t^3. + t^3.98 + 2*t^4.313 + 3*t^4.501 + 3*t^4.646 + t^4.729 + 2*t^4.834 + 2*t^4.876 + 2*t^4.917 + 2*t^5.062 + t^5.167 + t^5.209 + 5*t^5.251 + t^5.292 + t^5.334 + t^5.478 + 2*t^5.625 - 3*t^6. - t^4.313/y - t^4.313*y	detail