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
320	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$	0.7556	0.9204	0.821	[M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]]	[M:[[0, -2, -2], [0, 2, 2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - 4*t^6.101 + t^6.843 + 3*t^6.945 + 3*t^6.988 + t^7.032 + 6*t^7.046 + 9*t^7.09 + 2*t^7.134 + 10*t^7.148 + 8*t^7.191 + 2*t^7.235 + 5*t^7.293 + t^8.078 + t^8.18 + 3*t^8.223 - 5*t^8.281 + 3*t^8.325 - 12*t^8.383 - 9*t^8.484 - t^8.528 - t^4.191/y - t^6.472/y - (3*t^6.574)/y + (3*t^7.664)/y + (3*t^7.765)/y + (3*t^7.809)/y + t^7.91/y - t^8.753/y + t^8.797/y - (3*t^8.855)/y + (5*t^8.899)/y - (6*t^8.956)/y - t^4.191*y - t^6.472*y - 3*t^6.574*y + 3*t^7.664*y + 3*t^7.765*y + 3*t^7.809*y + t^7.91*y - t^8.753*y + t^8.797*y - 3*t^8.855*y + 5*t^8.899*y - 6*t^8.956*y	t^2.281/(g1*g2^2) + t^2.383/(g1*g3^2) + (g1*t^2.383)/(g2^4*g3^2) + t^2.383/(g2^2*g3^2) + (g2^2*g3^4*t^3.516)/g1 + 2*g2^2*g3^2*t^3.617 + t^4.562/(g1^2*g2^4) + t^4.664/(g2^6*g3^2) + t^4.664/(g1*g2^4*g3^2) + t^4.664/(g1^2*g2^2*g3^2) + (g3^3*t^4.707)/g2 + (g2*g3^3*t^4.707)/g1 + (g2^3*g3^3*t^4.707)/g1^2 + t^4.765/(g1^2*g3^4) + (g1^2*t^4.765)/(g2^8*g3^4) + (g1*t^4.765)/(g2^6*g3^4) + (2*t^4.765)/(g2^4*g3^4) + t^4.765/(g1*g2^2*g3^4) + (g1*g3*t^4.809)/g2 + 2*g2*g3*t^4.809 + (g2^3*g3*t^4.809)/g1 + (g1^2*t^4.91)/(g2*g3) + (g1*g2*t^4.91)/g3 + (g2^3*t^4.91)/g3 + (g3^4*t^5.797)/g1^2 + (g3^2*t^5.899)/g1 - 2*t^6. - (2*g1*t^6.101)/g3^2 - (g1^2*t^6.101)/(g2^2*g3^2) - (g2^2*t^6.101)/g3^2 + t^6.843/(g1^3*g2^6) + t^6.945/(g1*g2^8*g3^2) + t^6.945/(g1^2*g2^6*g3^2) + t^6.945/(g1^3*g2^4*g3^2) + (g3^3*t^6.988)/(g1*g2^3) + (g3^3*t^6.988)/(g1^2*g2) + (g2*g3^3*t^6.988)/g1^3 + (g2^4*g3^8*t^7.032)/g1^2 + (g1*t^7.046)/(g2^10*g3^4) + t^7.046/(g2^8*g3^4) + (2*t^7.046)/(g1*g2^6*g3^4) + t^7.046/(g1^2*g2^4*g3^4) + t^7.046/(g1^3*g2^2*g3^4) + (g1*g3*t^7.09)/g2^5 + (2*g3*t^7.09)/g2^3 + (3*g3*t^7.09)/(g1*g2) + (2*g2*g3*t^7.09)/g1^2 + (g2^3*g3*t^7.09)/g1^3 + (2*g2^4*g3^6*t^7.134)/g1 + t^7.148/(g1^3*g3^6) + (g1^3*t^7.148)/(g2^12*g3^6) + (g1^2*t^7.148)/(g2^10*g3^6) + (2*g1*t^7.148)/(g2^8*g3^6) + (2*t^7.148)/(g2^6*g3^6) + (2*t^7.148)/(g1*g2^4*g3^6) + t^7.148/(g1^2*g2^2*g3^6) + (g1^2*t^7.191)/(g2^5*g3) + (2*g1*t^7.191)/(g2^3*g3) + (2*t^7.191)/(g2*g3) + (2*g2*t^7.191)/(g1*g3) + (g2^3*t^7.191)/(g1^2*g3) + 2*g2^4*g3^4*t^7.235 + (g1^3*t^7.293)/(g2^5*g3^3) + (g1^2*t^7.293)/(g2^3*g3^3) + (g1*t^7.293)/(g2*g3^3) + (g2*t^7.293)/g3^3 + (g2^3*t^7.293)/(g1*g3^3) + (g3^4*t^8.078)/(g1^3*g2^2) + (g3^2*t^8.18)/(g1^2*g2^2) + (g2*g3^7*t^8.223)/g1 + (g2^3*g3^7*t^8.223)/g1^2 + (g2^5*g3^7*t^8.223)/g1^3 - t^8.281/g1^2 - t^8.281/g2^4 - (3*t^8.281)/(g1*g2^2) + g2*g3^5*t^8.325 + (g2^3*g3^5*t^8.325)/g1 + (g2^5*g3^5*t^8.325)/g1^2 - (4*t^8.383)/(g1*g3^2) - (4*g1*t^8.383)/(g2^4*g3^2) - (4*t^8.383)/(g2^2*g3^2) - (2*t^8.484)/g3^4 - (g1^3*t^8.484)/(g2^6*g3^4) - (2*g1^2*t^8.484)/(g2^4*g3^4) - (3*g1*t^8.484)/(g2^2*g3^4) - (g2^2*t^8.484)/(g1*g3^4) - g1*g2^3*g3*t^8.528 - t^4.191/(g2*g3*y) - t^6.472/(g1*g2^3*g3*y) - (g1*t^6.574)/(g2^5*g3^3*y) - t^6.574/(g2^3*g3^3*y) - t^6.574/(g1*g2*g3^3*y) + t^7.664/(g2^6*g3^2*y) + t^7.664/(g1*g2^4*g3^2*y) + t^7.664/(g1^2*g2^2*g3^2*y) + (g1*t^7.765)/(g2^6*g3^4*y) + t^7.765/(g2^4*g3^4*y) + t^7.765/(g1*g2^2*g3^4*y) + (g1*g3*t^7.809)/(g2*y) + (g2*g3*t^7.809)/y + (g2^3*g3*t^7.809)/(g1*y) + (g1*g2*t^7.91)/(g3*y) - t^8.753/(g1^2*g2^5*g3*y) + (g3^4*t^8.797)/(g1^2*y) - t^8.855/(g2^7*g3^3*y) - t^8.855/(g1*g2^5*g3^3*y) - t^8.855/(g1^2*g2^3*g3^3*y) + (3*g3^2*t^8.899)/(g1*y) + (g3^2*t^8.899)/(g2^2*y) + (g2^2*g3^2*t^8.899)/(g1^2*y) - (g1^2*t^8.956)/(g2^9*g3^5*y) - (g1*t^8.956)/(g2^7*g3^5*y) - (2*t^8.956)/(g2^5*g3^5*y) - t^8.956/(g1*g2^3*g3^5*y) - t^8.956/(g1^2*g2*g3^5*y) - (t^4.191*y)/(g2*g3) - (t^6.472*y)/(g1*g2^3*g3) - (g1*t^6.574*y)/(g2^5*g3^3) - (t^6.574*y)/(g2^3*g3^3) - (t^6.574*y)/(g1*g2*g3^3) + (t^7.664*y)/(g2^6*g3^2) + (t^7.664*y)/(g1*g2^4*g3^2) + (t^7.664*y)/(g1^2*g2^2*g3^2) + (g1*t^7.765*y)/(g2^6*g3^4) + (t^7.765*y)/(g2^4*g3^4) + (t^7.765*y)/(g1*g2^2*g3^4) + (g1*g3*t^7.809*y)/g2 + g2*g3*t^7.809*y + (g2^3*g3*t^7.809*y)/g1 + (g1*g2*t^7.91*y)/g3 - (t^8.753*y)/(g1^2*g2^5*g3) + (g3^4*t^8.797*y)/g1^2 - (t^8.855*y)/(g2^7*g3^3) - (t^8.855*y)/(g1*g2^5*g3^3) - (t^8.855*y)/(g1^2*g2^3*g3^3) + (3*g3^2*t^8.899*y)/g1 + (g3^2*t^8.899*y)/g2^2 + (g2^2*g3^2*t^8.899*y)/g1^2 - (g1^2*t^8.956*y)/(g2^9*g3^5) - (g1*t^8.956*y)/(g2^7*g3^5) - (2*t^8.956*y)/(g2^5*g3^5) - (t^8.956*y)/(g1*g2^3*g3^5) - (t^8.956*y)/(g1^2*g2*g3^5)

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
498	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$	0.6999	0.852	0.8215	[M:[0.9552, 1.0448, 0.9552, 0.9552, 1.0448], q:[0.5672, 0.4776], qb:[0.4776, 0.5672], phi:[0.4776]]	3*t^2.866 + 3*t^3.134 + t^3.403 + 3*t^4.298 + 4*t^4.567 + 3*t^4.836 + 2*t^5.731 + t^6. - t^4.433/y - t^4.433*y	detail
500	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$	0.7406	0.896	0.8266	[M:[0.8194, 1.1806, 0.8579, 0.7809, 0.7809, 1.1421], q:[0.5518, 0.6288], qb:[0.5903, 0.5903], phi:[0.4097]]	2*t^2.343 + t^2.458 + 2*t^3.426 + 2*t^3.542 + t^4.54 + 2*t^4.655 + 3*t^4.685 + 4*t^4.771 + 2*t^4.801 + 2*t^4.886 + t^4.916 + t^5.002 + 3*t^5.769 + 2*t^5.885 - 4*t^6. - t^4.229/y - t^4.229*y	detail
502	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7722	0.9495	0.8132	[M:[0.7745, 1.2255, 0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]]	5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*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
203	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$	0.7382	0.8885	0.8308	[M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]]	3*t^2.432 + 4*t^3.568 + 10*t^4.784 + 6*t^4.865 - 4*t^6. - t^4.216/y - t^4.216*y	detail