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
57680	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.4626	1.6624	0.8798	[X:[1.3556], M:[0.6693], q:[0.5676, 0.5426], qb:[0.4908, 0.4659], phi:[0.3222]]	[X:[[0, 2]], M:[[-3, 6]], q:[[-1, 3], [2, -5]], qb:[[-2, 8], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$	${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.01 + t^2.9 + t^3.03 + 2*t^3.1 + t^3.18 + t^4.02 + 3*t^4.07 + t^4.14 + t^4.91 + t^4.96 + 3*t^5.03 + 3*t^5.11 + t^5.18 + t^5.23 + t^5.31 + t^5.8 - t^6. + t^6.02 + t^6.05 + 2*t^6.07 + 2*t^6.13 + t^6.15 + 5*t^6.2 + 3*t^6.28 + t^6.35 - t^6.89 + t^6.92 + 2*t^6.97 + 2*t^7.04 + 4*t^7.09 + 3*t^7.12 + 7*t^7.17 + t^7.19 + 6*t^7.24 + 3*t^7.32 + t^7.78 + t^7.81 - t^7.86 + t^7.98 - t^8.01 + t^8.03 + 3*t^8.06 + 2*t^8.08 + 9*t^8.13 + t^8.16 + 9*t^8.21 + t^8.26 + 4*t^8.28 + 3*t^8.33 + t^8.36 + 3*t^8.41 + t^8.48 + t^8.7 - t^8.75 - 2*t^8.82 - 2*t^8.9 + t^8.92 - t^8.97 + t^8.9/y^2 - t^8.97/y^2 - t^3.97/y - t^4.93/y - t^5.97/y - t^6.87/y - t^6.94/y - t^6.99/y - (2*t^7.07)/y - t^7.14/y - t^7.83/y + t^7.91/y - t^7.98/y - t^8.03/y + t^8.11/y + t^8.18/y - t^8.87/y + t^8.93/y - t^8.95/y - t^3.97*y - t^4.93*y - t^5.97*y - t^6.87*y - t^6.94*y - t^6.99*y - 2*t^7.07*y - t^7.14*y - t^7.83*y + t^7.91*y - t^7.98*y - t^8.03*y + t^8.11*y + t^8.18*y - t^8.87*y + t^8.93*y - t^8.95*y + t^8.9*y^2 - t^8.97*y^2	(g2^6*t^2.01)/g1^3 + t^2.9/g2^3 + (g1^3*t^3.03)/g2^5 + 2*g2^3*t^3.1 + (g2^11*t^3.18)/g1^3 + (g2^12*t^4.02)/g1^6 + 3*g2^2*t^4.07 + (g2^10*t^4.14)/g1^3 + (g2^3*t^4.91)/g1^3 + (g1^3*t^4.96)/g2^7 + 3*g2*t^5.03 + (3*g2^9*t^5.11)/g1^3 + (g2^17*t^5.18)/g1^6 + g2^7*t^5.23 + (g2^15*t^5.31)/g1^3 + t^5.8/g2^6 - t^6. + (g2^18*t^6.02)/g1^9 + (g1^6*t^6.05)/g2^10 + (2*g2^8*t^6.07)/g1^3 + (2*g1^3*t^6.13)/g2^2 + (g2^16*t^6.15)/g1^6 + 5*g2^6*t^6.2 + (3*g2^14*t^6.28)/g1^3 + (g2^22*t^6.35)/g1^6 - (g1^3*t^6.89)/g2^9 + (g2^9*t^6.92)/g1^6 + (2*t^6.97)/g2 + (2*g2^7*t^7.04)/g1^3 + (4*g1^3*t^7.09)/g2^3 + (3*g2^15*t^7.12)/g1^6 + 7*g2^5*t^7.17 + (g2^23*t^7.19)/g1^9 + (6*g2^13*t^7.24)/g1^3 + (3*g2^21*t^7.32)/g1^6 + (g1^6*t^7.78)/g2^18 + t^7.81/g1^3 - (g1^3*t^7.86)/g2^10 + (g1^6*t^7.98)/g2^12 - (g2^6*t^8.01)/g1^3 + (g2^24*t^8.03)/g1^12 + (3*g1^3*t^8.06)/g2^4 + (2*g2^14*t^8.08)/g1^6 + 9*g2^4*t^8.13 + (g2^22*t^8.16)/g1^9 + (9*g2^12*t^8.21)/g1^3 + g1^3*g2^2*t^8.26 + (4*g2^20*t^8.28)/g1^6 + 3*g2^10*t^8.33 + (g2^28*t^8.36)/g1^9 + (3*g2^18*t^8.41)/g1^3 + (g2^26*t^8.48)/g1^6 + t^8.7/g2^9 - (g1^6*t^8.75)/g2^19 - (2*g1^3*t^8.82)/g2^11 - (2*t^8.9)/g2^3 + (g2^15*t^8.92)/g1^9 - (g2^5*t^8.97)/g1^3 + t^8.9/(g2^3*y^2) - (g2^5*t^8.97)/(g1^3*y^2) - t^3.97/(g2*y) - t^4.93/(g2^2*y) - (g2^5*t^5.97)/(g1^3*y) - t^6.87/(g2^4*y) - (g2^4*t^6.94)/(g1^3*y) - (g1^3*t^6.99)/(g2^6*y) - (2*g2^2*t^7.07)/y - (g2^10*t^7.14)/(g1^3*y) - t^7.83/(g2^5*y) + (g2^3*t^7.91)/(g1^3*y) - (g2^11*t^7.98)/(g1^6*y) - (g2*t^8.03)/y + (g2^9*t^8.11)/(g1^3*y) + (g2^17*t^8.18)/(g1^6*y) - (g2^2*t^8.87)/(g1^3*y) + (g1^3*t^8.93)/(g2^8*y) - (g2^10*t^8.95)/(g1^6*y) - (t^3.97*y)/g2 - (t^4.93*y)/g2^2 - (g2^5*t^5.97*y)/g1^3 - (t^6.87*y)/g2^4 - (g2^4*t^6.94*y)/g1^3 - (g1^3*t^6.99*y)/g2^6 - 2*g2^2*t^7.07*y - (g2^10*t^7.14*y)/g1^3 - (t^7.83*y)/g2^5 + (g2^3*t^7.91*y)/g1^3 - (g2^11*t^7.98*y)/g1^6 - g2*t^8.03*y + (g2^9*t^8.11*y)/g1^3 + (g2^17*t^8.18*y)/g1^6 - (g2^2*t^8.87*y)/g1^3 + (g1^3*t^8.93*y)/g2^8 - (g2^10*t^8.95*y)/g1^6 + (t^8.9*y^2)/g2^3 - (g2^5*t^8.97*y^2)/g1^3

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
60482	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.3867	1.6057	0.8636	[X:[1.2662], M:[0.8992], q:[0.5995, 0.4341], qb:[0.4651, 0.2997], phi:[0.3669]]	t^2.2 + 3*t^2.7 + t^3.19 + t^3.3 + 3*t^3.8 + 2*t^4.29 + 2*t^4.4 + t^4.79 + 5*t^4.9 + 9*t^5.4 + 4*t^5.89 + 4*t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*y	detail
58599	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$	1.4596	1.6662	0.876	[X:[1.3333], M:[0.6946], q:[0.5649, 0.5369], qb:[0.4631, 0.4351], phi:[0.3333]]	t^2.08 + t^2.92 + 3*t^3. + t^3.08 + 3*t^4. + t^4.08 + t^4.17 + t^4.92 + 4*t^5. + 5*t^5.08 + t^5.17 + t^5.83 + 2*t^5.92 + 5*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail
60551	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$	0.7951	0.8445	0.9416	[X:[1.6422, 1.4632], M:[0.8946], q:[0.7859, 0.2492], qb:[1.2141, 0.6773], phi:[0.1789]]	t^2.68 + t^2.78 + 2*t^3.85 + t^4.39 + t^4.93 + t^5.37 + t^5.46 + t^5.56 - 3*t^6. - t^3.54/y - t^4.07/y - t^3.54*y - t^4.07*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
47940	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$	1.4418	1.621	0.8894	[X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]]	t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y	detail