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
2258	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6514	0.8184	0.7959	[M:[0.8197, 0.754, 1.1803, 0.8526, 1.2131, 0.7211, 0.754], q:[0.8033, 0.8033], qb:[0.377, 0.4427], phi:[0.3934]]	[M:[[6], [-14], [-6], [16], [4], [-24], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-1	t^2.163 + 2*t^2.262 + t^2.459 + t^2.558 + 2*t^3.541 + 2*t^3.639 + t^4.327 + 2*t^4.425 + 3*t^4.524 + t^4.623 + 3*t^4.721 + 3*t^4.82 + t^4.918 + t^5.017 + t^5.116 + 2*t^5.704 + 5*t^5.803 + 2*t^5.901 - t^6. + 2*t^6.099 + t^6.197 + t^6.49 + 2*t^6.589 + 3*t^6.687 + 5*t^6.786 + 3*t^6.884 + 5*t^6.983 + 6*t^7.082 + 3*t^7.18 + 2*t^7.279 + t^7.377 + t^7.575 + t^7.673 + 2*t^7.868 + 5*t^7.966 + 6*t^8.065 + t^8.163 - 2*t^8.262 + 3*t^8.361 - t^8.459 - 3*t^8.558 + t^8.653 + 2*t^8.752 + t^8.755 + 3*t^8.851 + 5*t^8.949 - t^4.18/y - t^6.344/y - (2*t^6.442)/y - t^6.738/y + (2*t^7.425)/y + t^7.524/y + (2*t^7.623)/y + (3*t^7.721)/y + (2*t^7.82)/y + (2*t^7.918)/y + (2*t^8.017)/y - t^8.507/y - (2*t^8.606)/y - t^8.704/y + (6*t^8.803)/y + (3*t^8.901)/y - t^4.18*y - t^6.344*y - 2*t^6.442*y - t^6.738*y + 2*t^7.425*y + t^7.524*y + 2*t^7.623*y + 3*t^7.721*y + 2*t^7.82*y + 2*t^7.918*y + 2*t^8.017*y - t^8.507*y - 2*t^8.606*y - t^8.704*y + 6*t^8.803*y + 3*t^8.901*y	t^2.163/g1^24 + (2*t^2.262)/g1^14 + g1^6*t^2.459 + g1^16*t^2.558 + (2*t^3.541)/g1^6 + 2*g1^4*t^3.639 + t^4.327/g1^48 + (2*t^4.425)/g1^38 + (3*t^4.524)/g1^28 + t^4.623/g1^18 + (3*t^4.721)/g1^8 + 3*g1^2*t^4.82 + g1^12*t^4.918 + g1^22*t^5.017 + g1^32*t^5.116 + (2*t^5.704)/g1^30 + (5*t^5.803)/g1^20 + (2*t^5.901)/g1^10 - t^6. + 2*g1^10*t^6.099 + g1^20*t^6.197 + t^6.49/g1^72 + (2*t^6.589)/g1^62 + (3*t^6.687)/g1^52 + (5*t^6.786)/g1^42 + (3*t^6.884)/g1^32 + (5*t^6.983)/g1^22 + (6*t^7.082)/g1^12 + (3*t^7.18)/g1^2 + 2*g1^8*t^7.279 + g1^18*t^7.377 + g1^38*t^7.575 + g1^48*t^7.673 + (2*t^7.868)/g1^54 + (5*t^7.966)/g1^44 + (6*t^8.065)/g1^34 + t^8.163/g1^24 - (2*t^8.262)/g1^14 + (3*t^8.361)/g1^4 - g1^6*t^8.459 - 3*g1^16*t^8.558 + t^8.653/g1^96 + (2*t^8.752)/g1^86 + g1^36*t^8.755 + (3*t^8.851)/g1^76 + (5*t^8.949)/g1^66 - t^4.18/(g1^2*y) - t^6.344/(g1^26*y) - (2*t^6.442)/(g1^16*y) - (g1^14*t^6.738)/y + (2*t^7.425)/(g1^38*y) + t^7.524/(g1^28*y) + (2*t^7.623)/(g1^18*y) + (3*t^7.721)/(g1^8*y) + (2*g1^2*t^7.82)/y + (2*g1^12*t^7.918)/y + (2*g1^22*t^8.017)/y - t^8.507/(g1^50*y) - (2*t^8.606)/(g1^40*y) - t^8.704/(g1^30*y) + (6*t^8.803)/(g1^20*y) + (3*t^8.901)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.344*y)/g1^26 - (2*t^6.442*y)/g1^16 - g1^14*t^6.738*y + (2*t^7.425*y)/g1^38 + (t^7.524*y)/g1^28 + (2*t^7.623*y)/g1^18 + (3*t^7.721*y)/g1^8 + 2*g1^2*t^7.82*y + 2*g1^12*t^7.918*y + 2*g1^22*t^8.017*y - (t^8.507*y)/g1^50 - (2*t^8.606*y)/g1^40 - (t^8.704*y)/g1^30 + (6*t^8.803*y)/g1^20 + (3*t^8.901*y)/g1^10

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
4260	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$	0.5731	0.7033	0.8149	[X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 1.1667, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]]	t^2.25 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^3.75 + t^4. + t^4.5 + t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 - t^4.25/y - t^4.25*y	detail	{a: 3521/6144, c: 4321/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 7/6, M6: 1, M7: 11/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12}

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
1217	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.6327	0.784	0.807	[M:[0.8155, 0.7639, 1.1845, 0.8412, 1.2103, 0.7382], q:[0.8026, 0.8026], qb:[0.382, 0.4335], phi:[0.3948]]	t^2.215 + t^2.292 + t^2.446 + t^2.524 + 2*t^3.554 + 2*t^3.631 + t^3.708 + t^4.429 + t^4.506 + t^4.584 + t^4.661 + 2*t^4.738 + 2*t^4.815 + t^4.893 + t^4.97 + t^5.047 + 2*t^5.768 + 3*t^5.845 + t^5.923 - t^4.185/y - t^4.185*y	detail