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
326	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.7722	0.9495	0.8132	[M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]]	[M:[[-2, -2], [-2, -2], [-4, 0], [0, -4]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	-6	5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. + 35*t^6.971 + 35*t^7.162 + 2*t^7.353 - 40*t^8.324 - 5*t^8.515 - t^4.162/y - (5*t^6.485)/y + (10*t^7.647)/y + (5*t^7.838)/y - (15*t^8.809)/y - t^4.162*y - 5*t^6.485*y + 10*t^7.647*y + 5*t^7.838*y - 15*t^8.809*y	t^2.324/g1^4 + t^2.324/g2^4 + (3*t^2.324)/(g1^2*g2^2) + 2*g1^2*g2^2*t^3.676 + t^4.647/g1^8 + t^4.647/g2^8 + (3*t^4.647)/(g1^2*g2^6) + (7*t^4.647)/(g1^4*g2^4) + (3*t^4.647)/(g1^6*g2^2) + (3*g1^3*t^4.838)/g2 + 4*g1*g2*t^4.838 + (3*g2^3*t^4.838)/g1 - 2*t^6. - (2*g1^2*t^6.)/g2^2 - (2*g2^2*t^6.)/g1^2 + t^6.971/g1^12 + t^6.971/g2^12 + (3*t^6.971)/(g1^2*g2^10) + (7*t^6.971)/(g1^4*g2^8) + (13*t^6.971)/(g1^6*g2^6) + (7*t^6.971)/(g1^8*g2^4) + (3*t^6.971)/(g1^10*g2^2) + (3*g1^3*t^7.162)/g2^5 + (9*g1*t^7.162)/g2^3 + (11*t^7.162)/(g1*g2) + (9*g2*t^7.162)/g1^3 + (3*g2^3*t^7.162)/g1^5 + 2*g1^4*g2^4*t^7.353 - (11*t^8.324)/g1^4 - (2*g1^2*t^8.324)/g2^6 - (11*t^8.324)/g2^4 - (14*t^8.324)/(g1^2*g2^2) - (2*g2^2*t^8.324)/g1^6 - g1^5*g2*t^8.515 - 3*g1^3*g2^3*t^8.515 - g1*g2^5*t^8.515 - t^4.162/(g1*g2*y) - t^6.485/(g1*g2^5*y) - (3*t^6.485)/(g1^3*g2^3*y) - t^6.485/(g1^5*g2*y) + (3*t^7.647)/(g1^2*g2^6*y) + (4*t^7.647)/(g1^4*g2^4*y) + (3*t^7.647)/(g1^6*g2^2*y) + (g1^3*t^7.838)/(g2*y) + (3*g1*g2*t^7.838)/y + (g2^3*t^7.838)/(g1*y) - t^8.809/(g1*g2^9*y) - (3*t^8.809)/(g1^3*g2^7*y) - (7*t^8.809)/(g1^5*g2^5*y) - (3*t^8.809)/(g1^7*g2^3*y) - t^8.809/(g1^9*g2*y) - (t^4.162*y)/(g1*g2) - (t^6.485*y)/(g1*g2^5) - (3*t^6.485*y)/(g1^3*g2^3) - (t^6.485*y)/(g1^5*g2) + (3*t^7.647*y)/(g1^2*g2^6) + (4*t^7.647*y)/(g1^4*g2^4) + (3*t^7.647*y)/(g1^6*g2^2) + (g1^3*t^7.838*y)/g2 + 3*g1*g2*t^7.838*y + (g2^3*t^7.838*y)/g1 - (t^8.809*y)/(g1*g2^9) - (3*t^8.809*y)/(g1^3*g2^7) - (7*t^8.809*y)/(g1^5*g2^5) - (3*t^8.809*y)/(g1^7*g2^3) - (t^8.809*y)/(g1^9*g2)

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
506	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$	0.7145	0.8771	0.8147	[M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.6008, 0.4664], qb:[0.4664, 0.6008], phi:[0.4664]]	t^2.395 + 3*t^2.798 + 3*t^3.202 + 3*t^4.198 + 4*t^4.601 + t^4.791 + 3*t^5.004 + 3*t^5.194 + 5*t^5.597 + t^6. - t^4.399/y - t^4.399*y	detail
507	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.7407	0.9101	0.8139	[M:[0.8597, 0.8597, 1.0, 0.7195], q:[0.6403, 0.5], qb:[0.5, 0.6403], phi:[0.4299]]	t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - t^4.29/y - t^4.29*y	detail
508	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.7904	0.9838	0.8034	[M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]]	6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y	detail	{a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21}

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
205	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.7556	0.9204	0.821	[M:[0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]]	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. - t^4.191/y - t^4.191*y	detail