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
58105	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$	1.4742	1.6829	0.876	[X:[1.3307], M:[0.9961, 0.6809], q:[0.4941, 0.5019], qb:[0.5059, 0.4903], phi:[0.3346]]	[X:[[0, 2]], M:[[0, 3], [0, -11]], q:[[-1, 12], [-1, 6]], qb:[[1, -12], [1, 0]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.04 + t^2.95 + t^2.98 + t^2.99 + t^3. + t^3.02 + t^3.98 + t^3.99 + t^4. + t^4.03 + t^4.09 + t^4.96 + t^4.98 + t^5. + t^5.01 + t^5.02 + 2*t^5.03 + t^5.04 + t^5.07 + t^5.46 + t^5.47 + t^5.5 + t^5.51 + t^5.91 + t^5.93 + t^5.94 + t^5.95 + t^5.96 + 2*t^5.98 + t^5.99 - 2*t^6. + t^6.01 + t^6.02 + t^6.04 + t^6.05 + t^6.07 + t^6.13 + t^6.47 + t^6.48 + t^6.5 + t^6.51 + t^6.93 + t^6.95 + t^6.96 + 2*t^6.97 + 3*t^6.98 + 2*t^6.99 + t^7. + 2*t^7.02 + 2*t^7.03 + t^7.04 + t^7.05 + t^7.06 + 2*t^7.07 + t^7.09 + t^7.11 + t^7.42 + t^7.46 + t^7.51 + t^7.52 + t^7.53 + t^7.54 + t^7.55 + t^7.56 + t^7.91 + 2*t^7.94 + t^7.95 + 3*t^7.96 + 2*t^7.97 + 5*t^7.98 + 2*t^8. + 4*t^8.01 + 3*t^8.02 + 3*t^8.03 - 2*t^8.04 + 2*t^8.05 + t^8.07 + t^8.08 + t^8.09 + t^8.11 + t^8.17 + t^8.42 + t^8.43 + 2*t^8.45 + 2*t^8.46 + t^8.49 + t^8.5 + t^8.86 + t^8.88 + t^8.89 + t^8.91 + t^8.92 + 2*t^8.93 + 2*t^8.94 - 2*t^8.95 + 4*t^8.96 - t^8.98 + t^8.99 - t^4./y - t^5.01/y - t^6.05/y - t^6.96/y - t^6.98/y - t^6.99/y - t^7./y - t^7.03/y - t^7.05/y - t^7.98/y - t^8.01/y + t^8.02/y + t^8.04/y + t^8.07/y - t^8.09/y + t^8.93/y + t^8.94/y + t^8.95/y + t^8.96/y + (2*t^8.98)/y - t^4.*y - t^5.01*y - t^6.05*y - t^6.96*y - t^6.98*y - t^6.99*y - t^7.*y - t^7.03*y - t^7.05*y - t^7.98*y - t^8.01*y + t^8.02*y + t^8.04*y + t^8.07*y - t^8.09*y + t^8.93*y + t^8.94*y + t^8.95*y + t^8.96*y + 2*t^8.98*y	t^2.04/g2^11 + g2^12*t^2.95 + g2^6*t^2.98 + g2^3*t^2.99 + t^3. + t^3.02/g2^6 + g2^5*t^3.98 + g2^2*t^3.99 + t^4./g2 + t^4.03/g2^7 + t^4.09/g2^22 + g2^10*t^4.96 + g2^4*t^4.98 + g2*t^5. + t^5.01/g2^2 + t^5.02/g2^5 + (2*t^5.03)/g2^8 + t^5.04/g2^11 + t^5.07/g2^17 + (g1^3*t^5.46)/g2^13 + (g2^29*t^5.47)/g1^3 + (g2^23*t^5.5)/g1^3 + (g1^3*t^5.51)/g2^25 + g2^24*t^5.91 + g2^18*t^5.93 + g2^15*t^5.94 + g2^12*t^5.95 + g2^9*t^5.96 + 2*g2^6*t^5.98 + g2^3*t^5.99 - 2*t^6. + t^6.01/g2^3 + t^6.02/g2^6 + t^6.04/g2^9 + t^6.05/g2^12 + t^6.07/g2^18 + t^6.13/g2^33 + (g1^3*t^6.47)/g2^14 + (g2^28*t^6.48)/g1^3 + (g2^22*t^6.5)/g1^3 + (g1^3*t^6.51)/g2^26 + g2^17*t^6.93 + g2^14*t^6.95 + g2^11*t^6.96 + 2*g2^8*t^6.97 + 3*g2^5*t^6.98 + 2*g2^2*t^6.99 + t^7./g2 + (2*t^7.02)/g2^4 + (2*t^7.03)/g2^7 + t^7.04/g2^10 + t^7.05/g2^13 + t^7.06/g2^16 + (2*t^7.07)/g2^19 + t^7.09/g2^22 + t^7.11/g2^28 + (g1^3*t^7.42)/g2^3 + (g2^33*t^7.46)/g1^3 + (g1^3*t^7.47)/g2^15 - (g2^30*t^7.47)/g1^3 - (g1^3*t^7.48)/g2^18 + (g2^27*t^7.48)/g1^3 + (g2^21*t^7.51)/g1^3 + (g1^3*t^7.52)/g2^27 + (g2^15*t^7.53)/g1^3 + (g2^12*t^7.54)/g1^3 + (g1^3*t^7.55)/g2^36 + (g1^3*t^7.56)/g2^39 + g2^22*t^7.91 + 2*g2^16*t^7.94 + g2^13*t^7.95 + 3*g2^10*t^7.96 + 2*g2^7*t^7.97 + 5*g2^4*t^7.98 + 2*g2*t^8. + (4*t^8.01)/g2^2 + (3*t^8.02)/g2^5 + (3*t^8.03)/g2^8 - (2*t^8.04)/g2^11 + (2*t^8.05)/g2^14 + t^8.07/g2^17 + t^8.08/g2^20 + t^8.09/g2^23 + t^8.11/g2^29 + t^8.17/g2^44 + (g1^3*t^8.42)/g2 + (g2^41*t^8.43)/g1^3 + (g1^3*t^8.45)/g2^10 + (g2^35*t^8.45)/g1^3 + (g1^3*t^8.46)/g2^13 + (g2^32*t^8.46)/g1^3 + (g2^26*t^8.49)/g1^3 + (g1^3*t^8.5)/g2^22 + g2^36*t^8.86 + g2^30*t^8.88 + g2^27*t^8.89 + g2^24*t^8.91 + g2^21*t^8.92 + 2*g2^18*t^8.93 + 2*g2^15*t^8.94 - 2*g2^12*t^8.95 + 4*g2^9*t^8.96 - g2^6*t^8.98 + g2^3*t^8.99 - t^4./(g2*y) - t^5.01/(g2^2*y) - t^6.05/(g2^12*y) - (g2^11*t^6.96)/y - (g2^5*t^6.98)/y - (g2^2*t^6.99)/y - t^7./(g2*y) - t^7.03/(g2^7*y) - t^7.05/(g2^13*y) - (g2^4*t^7.98)/y - t^8.01/(g2^2*y) + t^8.02/(g2^5*y) + t^8.04/(g2^11*y) + t^8.07/(g2^17*y) - t^8.09/(g2^23*y) + (g2^18*t^8.93)/y + (g2^15*t^8.94)/y + (g2^12*t^8.95)/y + (g2^9*t^8.96)/y + (2*g2^6*t^8.98)/y - (t^4.*y)/g2 - (t^5.01*y)/g2^2 - (t^6.05*y)/g2^12 - g2^11*t^6.96*y - g2^5*t^6.98*y - g2^2*t^6.99*y - (t^7.*y)/g2 - (t^7.03*y)/g2^7 - (t^7.05*y)/g2^13 - g2^4*t^7.98*y - (t^8.01*y)/g2^2 + (t^8.02*y)/g2^5 + (t^8.04*y)/g2^11 + (t^8.07*y)/g2^17 - (t^8.09*y)/g2^23 + g2^18*t^8.93*y + g2^15*t^8.94*y + g2^12*t^8.95*y + g2^9*t^8.96*y + 2*g2^6*t^8.98*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
61214	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$	1.4951	1.7241	0.8671	[X:[1.3308], M:[0.9963, 0.6803, 0.6729], q:[0.4944, 0.5018], qb:[0.5056, 0.4907], phi:[0.3346]]	t^2.02 + t^2.04 + t^2.96 + t^2.98 + t^2.99 + t^3. + t^3.02 + t^3.99 + t^4. + t^4.03 + t^4.04 + t^4.06 + t^4.08 + t^4.96 + t^4.97 + t^4.99 + 2*t^5. + 2*t^5.01 + 2*t^5.02 + 2*t^5.03 + 2*t^5.04 + t^5.06 + t^5.46 + t^5.48 + t^5.5 + t^5.51 + t^5.91 + t^5.93 + t^5.94 + t^5.96 + t^5.97 + 2*t^5.98 + t^5.99 - 2*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*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
57334	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$	1.4535	1.6425	0.8849	[X:[1.3301], M:[0.9951], q:[0.4926, 0.5024], qb:[0.5074, 0.4878], phi:[0.335]]	t^2.941 + t^2.971 + t^2.985 + t^3. + t^3.029 + t^3.946 + t^3.976 + t^3.99 + t^4.005 + t^4.034 + t^4.951 + t^4.98 + t^5.01 + t^5.039 + t^5.454 + t^5.468 + t^5.497 + t^5.513 + t^5.883 + t^5.912 + t^5.927 + t^5.941 + t^5.956 + 2*t^5.971 + t^5.985 - 2*t^6. - t^4.005/y - t^5.01/y - t^4.005*y - t^5.01*y	detail