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
58466	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$	1.4025	1.6143	0.8688	[X:[1.2469], M:[1.0123, 0.8704, 1.2469], q:[0.4938, 0.3765], qb:[0.4938, 0.3765], phi:[0.3765]]	[X:[[0, 0, 2]], M:[[0, 0, -8], [0, 0, 3], [0, 0, 2]], q:[[-1, 0, 8], [0, -1, -2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$	${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1	3*t^2.61 + t^3.04 + t^3.39 + 4*t^3.74 + t^4.09 + t^4.52 + 4*t^4.87 + 9*t^5.22 + t^5.65 + t^6. + t^6.07 + 12*t^6.35 + t^6.43 + 3*t^6.7 + 5*t^6.78 + 4*t^7.13 + 18*t^7.48 + t^7.56 + 24*t^7.83 + t^7.91 + t^8.19 + 2*t^8.26 + 5*t^8.61 + t^8.69 + 33*t^8.96 - t^4.13/y - t^5.26/y - (3*t^6.74)/y - t^7.17/y - (4*t^7.87)/y + (3*t^8.22)/y - t^8.3/y + (2*t^8.65)/y - t^4.13*y - t^5.26*y - 3*t^6.74*y - t^7.17*y - 4*t^7.87*y + 3*t^8.22*y - t^8.3*y + 2*t^8.65*y	(g1*t^2.61)/(g2*g3^2) + g3^3*t^2.61 + (g2*g3^8*t^2.61)/g1 + t^3.04/g3^8 + t^3.39/g3^3 + (g1*t^3.74)/(g2*g3^3) + 2*g3^2*t^3.74 + (g2*g3^7*t^3.74)/g1 + g3^7*t^4.09 + t^4.52/g3^4 + (g1*t^4.87)/(g2*g3^4) + (g1*g2^2*t^4.87)/g3 + (g3^3*t^4.87)/(g1*g2^2) + (g2*g3^6*t^4.87)/g1 + (g1^2*t^5.22)/(g2^2*g3^4) + (g1^2*g2*t^5.22)/g3 + (g1*g3*t^5.22)/g2 + 3*g3^6*t^5.22 + (g2*g3^11*t^5.22)/g1 + (g3^13*t^5.22)/(g1^2*g2) + (g2^2*g3^16*t^5.22)/g1^2 + t^5.65/g3^5 - 3*t^6. + (g1*t^6.)/(g2*g3^5) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (g2*g3^5*t^6.)/g1 + t^6.07/g3^16 + (2*g1*t^6.35)/g2 + (g1^2*t^6.35)/(g2^2*g3^5) + (g1^2*g2*t^6.35)/g3^2 + 4*g3^5*t^6.35 + (2*g2*g3^10*t^6.35)/g1 + (g3^12*t^6.35)/(g1^2*g2) + (g2^2*g3^15*t^6.35)/g1^2 + t^6.43/g3^11 + (g1*g3^5*t^6.7)/g2 + g3^10*t^6.7 + (g2*g3^15*t^6.7)/g1 + t^6.78/(g2^3*g3^9) + (3*t^6.78)/g3^6 + (g2^3*t^6.78)/g3^3 - (g1^2*g2*t^7.13)/g3^8 + (2*g1*t^7.13)/(g2*g3^6) + (g1*g2^2*t^7.13)/g3^3 + (g3*t^7.13)/(g1*g2^2) + (2*g2*g3^4*t^7.13)/g1 - (g3^6*t^7.13)/(g1^2*g2) + (2*g1^2*t^7.48)/(g2^2*g3^6) + (2*g1^2*g2*t^7.48)/g3^3 + (g1*t^7.48)/(g2*g3) + (g3*t^7.48)/g2^3 + 6*g3^4*t^7.48 + g2^3*g3^7*t^7.48 + (g2*g3^9*t^7.48)/g1 + (2*g3^11*t^7.48)/(g1^2*g2) + (2*g2^2*g3^14*t^7.48)/g1^2 + t^7.56/g3^12 + (g1^3*t^7.83)/(g2^3*g3^6) + (2*g1^3*t^7.83)/g3^3 + (g1^2*t^7.83)/(g2^2*g3) + g1^2*g2*g3^2*t^7.83 + (4*g1*g3^4*t^7.83)/g2 + g1*g2^2*g3^7*t^7.83 + 4*g3^9*t^7.83 + (g3^11*t^7.83)/(g1*g2^2) + (4*g2*g3^14*t^7.83)/g1 + (g3^16*t^7.83)/(g1^2*g2) + (g2^2*g3^19*t^7.83)/g1^2 + (2*g3^21*t^7.83)/g1^3 + (g2^3*g3^24*t^7.83)/g1^3 + t^7.91/g3^7 + g3^14*t^8.19 + t^8.26/(g1*g2^2) - (g1^2*g2*t^8.26)/g3^9 + (2*g1*t^8.26)/(g2*g3^7) - t^8.26/(g2^3*g3^5) + (g1*g2^2*t^8.26)/g3^4 - g2^3*g3*t^8.26 + (2*g2*g3^3*t^8.26)/g1 - (g3^5*t^8.26)/(g1^2*g2) + (2*t^8.61)/g2^3 - (g1^3*t^8.61)/g3^9 + (2*g1^2*t^8.61)/(g2^2*g3^7) + (2*g1^2*g2*t^8.61)/g3^4 - (3*g1*t^8.61)/(g2*g3^2) + g3^3*t^8.61 + 2*g2^3*g3^6*t^8.61 - (3*g2*g3^8*t^8.61)/g1 + (2*g3^10*t^8.61)/(g1^2*g2) + (2*g2^2*g3^13*t^8.61)/g1^2 - (g3^15*t^8.61)/g1^3 + t^8.69/g3^13 + (g1^3*t^8.96)/(g2^3*g3^7) + (2*g1^3*t^8.96)/g3^4 + (2*g1^2*t^8.96)/(g2^2*g3^2) + g1^2*g2*g3*t^8.96 + (6*g1*g3^3*t^8.96)/g2 + 2*g1*g2^2*g3^6*t^8.96 + 5*g3^8*t^8.96 + (2*g3^10*t^8.96)/(g1*g2^2) + (6*g2*g3^13*t^8.96)/g1 + (g3^15*t^8.96)/(g1^2*g2) + (2*g2^2*g3^18*t^8.96)/g1^2 + (2*g3^20*t^8.96)/g1^3 + (g2^3*g3^23*t^8.96)/g1^3 - t^4.13/(g3*y) - t^5.26/(g3^2*y) - (g1*t^6.74)/(g2*g3^3*y) - (g3^2*t^6.74)/y - (g2*g3^7*t^6.74)/(g1*y) - t^7.17/(g3^9*y) - (g1*t^7.87)/(g2*g3^4*y) - (2*g3*t^7.87)/y - (g2*g3^6*t^7.87)/(g1*y) + (g1*g3*t^8.22)/(g2*y) + (g3^6*t^8.22)/y + (g2*g3^11*t^8.22)/(g1*y) - t^8.3/(g3^10*y) + (g2*t^8.65)/(g1*y) + (g1*t^8.65)/(g2*g3^10*y) - (t^4.13*y)/g3 - (t^5.26*y)/g3^2 - (g1*t^6.74*y)/(g2*g3^3) - g3^2*t^6.74*y - (g2*g3^7*t^6.74*y)/g1 - (t^7.17*y)/g3^9 - (g1*t^7.87*y)/(g2*g3^4) - 2*g3*t^7.87*y - (g2*g3^6*t^7.87*y)/g1 + (g1*g3*t^8.22*y)/g2 + g3^6*t^8.22*y + (g2*g3^11*t^8.22*y)/g1 - (t^8.3*y)/g3^10 + (g2*t^8.65*y)/g1 + (g1*t^8.65*y)/(g2*g3^10)

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
61115	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	1.3843	1.5908	0.8702	[X:[1.2657], M:[0.9373, 0.8985, 1.2657], q:[0.4731, 0.4103], qb:[0.5897, 0.324], phi:[0.3672]]	t^2.39 + t^2.7 + t^2.81 + t^3. + t^3.3 + t^3.49 + 2*t^3.8 + t^4.1 + t^4.29 + t^4.41 + t^4.59 + t^4.78 + t^4.81 + t^4.98 + t^5.09 + t^5.17 + t^5.2 + 3*t^5.39 + t^5.51 + t^5.61 + t^5.62 + 2*t^5.7 + t^5.88 + t^5.92 - 2*t^6. - t^4.1/y - t^5.2/y - t^4.1*y - t^5.2*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
57370	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$	1.4215	1.6483	0.8624	[X:[1.2487], M:[1.0053, 0.873], q:[0.4974, 0.3757], qb:[0.4974, 0.3757], phi:[0.3757]]	t^2.254 + 3*t^2.619 + t^3.016 + t^3.381 + 3*t^3.746 + t^4.111 + 2*t^4.508 + 7*t^4.873 + 9*t^5.238 + t^5.27 + 2*t^5.635 + 4*t^6. - t^4.127/y - t^5.254/y - t^4.127*y - t^5.254*y	detail