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
1418	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7543	0.9473	0.7962	[M:[0.8235, 1.0, 1.0, 0.8235, 1.0, 0.7207, 0.8235], q:[0.5883, 0.5883], qb:[0.4117, 0.5883], phi:[0.4559]]	[M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [-5, 0], [4, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{7}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}M_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$	-4	t^2.162 + 3*t^2.47 + t^2.735 + 3*t^3. + t^4.324 + 3*t^4.368 + 3*t^4.632 + 7*t^4.897 + 6*t^4.941 + 3*t^5.162 + 3*t^5.206 + 7*t^5.47 + 3*t^5.735 - 4*t^6. + t^6.486 - t^6.53 + 3*t^6.794 + 6*t^6.838 + 7*t^7.059 + 8*t^7.103 + 3*t^7.324 + 18*t^7.368 + 10*t^7.411 + 10*t^7.632 + 6*t^7.676 + 9*t^7.897 + 12*t^7.941 - 10*t^8.162 + 7*t^8.206 - 3*t^8.427 - 12*t^8.47 + t^8.648 - t^8.692 - 4*t^8.735 + 3*t^8.957 - t^4.368/y - t^6.53/y - (3*t^6.838)/y - t^7.103/y + (4*t^7.632)/y + (4*t^7.897)/y + (3*t^7.941)/y + (3*t^8.162)/y + (4*t^8.206)/y + (9*t^8.47)/y - t^8.692/y + (3*t^8.735)/y - t^4.368*y - t^6.53*y - 3*t^6.838*y - t^7.103*y + 4*t^7.632*y + 4*t^7.897*y + 3*t^7.941*y + 3*t^8.162*y + 4*t^8.206*y + 9*t^8.47*y - t^8.692*y + 3*t^8.735*y	t^2.162/g1^5 + g1^4*t^2.47 + (g1^2*t^2.47)/g2 + g1^6*g2*t^2.47 + g1^2*t^2.735 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + t^4.324/g1^10 + g1*t^4.368 + t^4.368/(g1*g2) + g1^3*g2*t^4.368 + t^4.632/g1 + t^4.632/(g1^3*g2) + g1*g2*t^4.632 + (3*t^4.897)/g1^3 + t^4.897/(g1^7*g2^2) + t^4.897/(g1^5*g2) + (g2*t^4.897)/g1 + g1*g2^2*t^4.897 + 2*g1^8*t^4.941 + (g1^4*t^4.941)/g2^2 + (g1^6*t^4.941)/g2 + g1^10*g2*t^4.941 + g1^12*g2^2*t^4.941 + t^5.162/g1^5 + t^5.162/(g1^7*g2) + (g2*t^5.162)/g1^3 + g1^6*t^5.206 + (g1^4*t^5.206)/g2 + g1^8*g2*t^5.206 + 3*g1^4*t^5.47 + t^5.47/g2^2 + (g1^2*t^5.47)/g2 + g1^6*g2*t^5.47 + g1^8*g2^2*t^5.47 + g1^2*t^5.735 + t^5.735/g2 + g1^4*g2*t^5.735 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.486/g1^15 - t^6.53/g1^4 + t^6.794/g1^6 + t^6.794/(g1^8*g2) + (g2*t^6.794)/g1^4 + 2*g1^5*t^6.838 + (g1*t^6.838)/g2^2 + (g1^3*t^6.838)/g2 + g1^7*g2*t^6.838 + g1^9*g2^2*t^6.838 + (3*t^7.059)/g1^8 + t^7.059/(g1^12*g2^2) + t^7.059/(g1^10*g2) + (g2*t^7.059)/g1^6 + (g2^2*t^7.059)/g1^4 + 2*g1^3*t^7.103 + t^7.103/(g1*g2^2) + (2*g1*t^7.103)/g2 + 2*g1^5*g2*t^7.103 + g1^7*g2^2*t^7.103 + t^7.324/g1^10 + t^7.324/(g1^12*g2) + (g2*t^7.324)/g1^8 + 4*g1*t^7.368 + t^7.368/(g1^5*g2^3) + (2*t^7.368)/(g1^3*g2^2) + (4*t^7.368)/(g1*g2) + 4*g1^3*g2*t^7.368 + 2*g1^5*g2^2*t^7.368 + g1^7*g2^3*t^7.368 + 2*g1^12*t^7.411 + (g1^6*t^7.411)/g2^3 + (g1^8*t^7.411)/g2^2 + (2*g1^10*t^7.411)/g2 + 2*g1^14*g2*t^7.411 + g1^16*g2^2*t^7.411 + g1^18*g2^3*t^7.411 + (4*t^7.632)/g1 + (2*t^7.632)/(g1^5*g2^2) + t^7.632/(g1^3*g2) + g1*g2*t^7.632 + 2*g1^3*g2^2*t^7.632 + 2*g1^10*t^7.676 + (g1^6*t^7.676)/g2^2 + (g1^8*t^7.676)/g2 + g1^12*g2*t^7.676 + g1^14*g2^2*t^7.676 + t^7.897/g1^3 + t^7.897/(g1^9*g2^3) + t^7.897/(g1^7*g2^2) + (2*t^7.897)/(g1^5*g2) + (2*g2*t^7.897)/g1 + g1*g2^2*t^7.897 + g1^3*g2^3*t^7.897 + 2*g1^8*t^7.941 + (g1^2*t^7.941)/g2^3 + (g1^4*t^7.941)/g2^2 + (3*g1^6*t^7.941)/g2 + 3*g1^10*g2*t^7.941 + g1^12*g2^2*t^7.941 + g1^14*g2^3*t^7.941 - (4*t^8.162)/g1^5 - t^8.162/(g1^9*g2^2) - (2*t^8.162)/(g1^7*g2) - (2*g2*t^8.162)/g1^3 - (g2^2*t^8.162)/g1 + 3*g1^6*t^8.206 + (g1^2*t^8.206)/g2^2 + (g1^4*t^8.206)/g2 + g1^8*g2*t^8.206 + g1^10*g2^2*t^8.206 - t^8.427/g1^7 - t^8.427/(g1^9*g2) - (g2*t^8.427)/g1^5 - 4*g1^4*t^8.47 - t^8.47/g2^2 - (3*g1^2*t^8.47)/g2 - 3*g1^6*g2*t^8.47 - g1^8*g2^2*t^8.47 + t^8.648/g1^20 - t^8.692/g1^9 - 2*g1^2*t^8.735 - t^8.735/g2 - g1^4*g2*t^8.735 + t^8.957/g1^11 + t^8.957/(g1^13*g2) + (g2*t^8.957)/g1^9 - (g1*t^4.368)/y - t^6.53/(g1^4*y) - (g1^5*t^6.838)/y - (g1^3*t^6.838)/(g2*y) - (g1^7*g2*t^6.838)/y - (g1^3*t^7.103)/y + (2*t^7.632)/(g1*y) + t^7.632/(g1^3*g2*y) + (g1*g2*t^7.632)/y + (2*t^7.897)/(g1^3*y) + t^7.897/(g1^5*g2*y) + (g2*t^7.897)/(g1*y) + (g1^8*t^7.941)/y + (g1^6*t^7.941)/(g2*y) + (g1^10*g2*t^7.941)/y + t^8.162/(g1^5*y) + t^8.162/(g1^7*g2*y) + (g2*t^8.162)/(g1^3*y) + (2*g1^6*t^8.206)/y + (g1^4*t^8.206)/(g2*y) + (g1^8*g2*t^8.206)/y + (3*g1^4*t^8.47)/y + t^8.47/(g2^2*y) + (2*g1^2*t^8.47)/(g2*y) + (2*g1^6*g2*t^8.47)/y + (g1^8*g2^2*t^8.47)/y - t^8.692/(g1^9*y) + (g1^2*t^8.735)/y + t^8.735/(g2*y) + (g1^4*g2*t^8.735)/y - g1*t^4.368*y - (t^6.53*y)/g1^4 - g1^5*t^6.838*y - (g1^3*t^6.838*y)/g2 - g1^7*g2*t^6.838*y - g1^3*t^7.103*y + (2*t^7.632*y)/g1 + (t^7.632*y)/(g1^3*g2) + g1*g2*t^7.632*y + (2*t^7.897*y)/g1^3 + (t^7.897*y)/(g1^5*g2) + (g2*t^7.897*y)/g1 + g1^8*t^7.941*y + (g1^6*t^7.941*y)/g2 + g1^10*g2*t^7.941*y + (t^8.162*y)/g1^5 + (t^8.162*y)/(g1^7*g2) + (g2*t^8.162*y)/g1^3 + 2*g1^6*t^8.206*y + (g1^4*t^8.206*y)/g2 + g1^8*g2*t^8.206*y + 3*g1^4*t^8.47*y + (t^8.47*y)/g2^2 + (2*g1^2*t^8.47*y)/g2 + 2*g1^6*g2*t^8.47*y + g1^8*g2^2*t^8.47*y - (t^8.692*y)/g1^9 + g1^2*t^8.735*y + (t^8.735*y)/g2 + g1^4*g2*t^8.735*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
2482	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$	0.7556	0.9503	0.7951	[M:[0.7959, 1.0276, 0.9724, 0.851, 1.0, 0.7207, 0.8235, 0.9724], q:[0.6159, 0.5883], qb:[0.4117, 0.5607], phi:[0.4559]]	t^2.162 + t^2.388 + t^2.47 + t^2.553 + t^2.735 + 2*t^2.917 + t^3. + t^4.285 + t^4.324 + t^4.368 + t^4.45 + t^4.55 + t^4.632 + t^4.715 + t^4.732 + t^4.775 + t^4.814 + t^4.858 + 3*t^4.897 + 2*t^4.941 + t^4.98 + t^5.023 + t^5.063 + 2*t^5.079 + t^5.106 + t^5.123 + t^5.162 + t^5.206 + t^5.288 + 2*t^5.305 + 2*t^5.388 + 3*t^5.47 + 2*t^5.652 + t^5.735 + 2*t^5.834 - 3*t^6. - t^4.368/y - t^4.368*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
923	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.74	0.9227	0.802	[M:[0.8456, 1.0, 1.0, 0.8456, 1.0, 0.693], q:[0.5772, 0.5772], qb:[0.4228, 0.5772], phi:[0.4614]]	t^2.079 + 2*t^2.537 + t^2.768 + 3*t^3. + t^3.463 + t^4.158 + 3*t^4.384 + 2*t^4.616 + 7*t^4.847 + 3*t^5.073 + 3*t^5.079 + 2*t^5.305 + 4*t^5.537 + t^5.542 + 3*t^5.768 - 2*t^6. - t^4.384/y - t^4.384*y	detail