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
4668	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	0.7156	0.9125	0.7842	[M:[1.0, 0.699, 0.8227, 0.8763, 1.1237, 0.8763, 0.8763, 0.699], q:[0.6505, 0.3495], qb:[0.5268, 0.7742], phi:[0.4247]]	[M:[[0], [4], [9], [-5], [5], [-5], [-5], [4]], q:[[-2], [2]], qb:[[-7], [3]], phi:[[1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{8}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$	${}$	-4	2*t^2.097 + t^2.468 + t^2.548 + 3*t^2.629 + t^3. + 3*t^4.194 + 2*t^4.274 + t^4.435 + 2*t^4.565 + 3*t^4.645 + 5*t^4.726 + t^4.806 + t^4.936 + t^5.017 + 5*t^5.097 + 5*t^5.177 + 5*t^5.258 + 2*t^5.548 + t^5.629 + t^5.92 - 4*t^6. + 4*t^6.291 + t^6.371 + 3*t^6.662 + 5*t^6.742 + 8*t^6.823 + 4*t^6.903 + t^6.983 + 2*t^7.033 + 3*t^7.064 + 3*t^7.114 + 9*t^7.194 + 10*t^7.274 + 8*t^7.355 + t^7.404 + 3*t^7.435 + t^7.485 + 3*t^7.565 + 7*t^7.645 + 8*t^7.726 + 8*t^7.806 + 6*t^7.886 + 2*t^8.017 - 8*t^8.097 + t^8.177 - t^8.258 + 6*t^8.388 - 3*t^8.468 - 2*t^8.548 - 14*t^8.629 + 4*t^8.759 + 5*t^8.839 + t^8.87 + 9*t^8.92 - t^4.274/y - (2*t^6.371)/y - t^6.742/y - t^6.823/y - (2*t^6.903)/y + t^7.194/y + (2*t^7.565)/y + (4*t^7.645)/y + (7*t^7.726)/y + t^7.806/y + t^8.017/y + (5*t^8.097)/y + (5*t^8.177)/y + (3*t^8.258)/y - (2*t^8.468)/y + t^8.548/y + (3*t^8.629)/y - (2*t^8.839)/y - (2*t^8.92)/y - t^4.274*y - 2*t^6.371*y - t^6.742*y - t^6.823*y - 2*t^6.903*y + t^7.194*y + 2*t^7.565*y + 4*t^7.645*y + 7*t^7.726*y + t^7.806*y + t^8.017*y + 5*t^8.097*y + 5*t^8.177*y + 3*t^8.258*y - 2*t^8.468*y + t^8.548*y + 3*t^8.629*y - 2*t^8.839*y - 2*t^8.92*y	2*g1^4*t^2.097 + g1^9*t^2.468 + g1^2*t^2.548 + (3*t^2.629)/g1^5 + t^3. + 3*g1^8*t^4.194 + 2*g1*t^4.274 + t^4.435/g1^13 + 2*g1^13*t^4.565 + 3*g1^6*t^4.645 + (5*t^4.726)/g1 + t^4.806/g1^8 + g1^18*t^4.936 + g1^11*t^5.017 + 5*g1^4*t^5.097 + (5*t^5.177)/g1^3 + (5*t^5.258)/g1^10 + 2*g1^2*t^5.548 + t^5.629/g1^5 + g1^7*t^5.92 - 4*t^6. + 4*g1^12*t^6.291 + g1^5*t^6.371 + 3*g1^17*t^6.662 + 5*g1^10*t^6.742 + 8*g1^3*t^6.823 + (4*t^6.903)/g1^4 + t^6.983/g1^11 + 2*g1^22*t^7.033 + (3*t^7.064)/g1^18 + 3*g1^15*t^7.114 + 9*g1^8*t^7.194 + 10*g1*t^7.274 + (8*t^7.355)/g1^6 + g1^27*t^7.404 + (3*t^7.435)/g1^13 + g1^20*t^7.485 + 3*g1^13*t^7.565 + 7*g1^6*t^7.645 + (8*t^7.726)/g1 + (8*t^7.806)/g1^8 + (6*t^7.886)/g1^15 + 2*g1^11*t^8.017 - 8*g1^4*t^8.097 + t^8.177/g1^3 - t^8.258/g1^10 + 6*g1^16*t^8.388 - 3*g1^9*t^8.468 - 2*g1^2*t^8.548 - (14*t^8.629)/g1^5 + 4*g1^21*t^8.759 + 5*g1^14*t^8.839 + t^8.87/g1^26 + 9*g1^7*t^8.92 - (g1*t^4.274)/y - (2*g1^5*t^6.371)/y - (g1^10*t^6.742)/y - (g1^3*t^6.823)/y - (2*t^6.903)/(g1^4*y) + (g1^8*t^7.194)/y + (2*g1^13*t^7.565)/y + (4*g1^6*t^7.645)/y + (7*t^7.726)/(g1*y) + t^7.806/(g1^8*y) + (g1^11*t^8.017)/y + (5*g1^4*t^8.097)/y + (5*t^8.177)/(g1^3*y) + (3*t^8.258)/(g1^10*y) - (2*g1^9*t^8.468)/y + (g1^2*t^8.548)/y + (3*t^8.629)/(g1^5*y) - (2*g1^14*t^8.839)/y - (2*g1^7*t^8.92)/y - g1*t^4.274*y - 2*g1^5*t^6.371*y - g1^10*t^6.742*y - g1^3*t^6.823*y - (2*t^6.903*y)/g1^4 + g1^8*t^7.194*y + 2*g1^13*t^7.565*y + 4*g1^6*t^7.645*y + (7*t^7.726*y)/g1 + (t^7.806*y)/g1^8 + g1^11*t^8.017*y + 5*g1^4*t^8.097*y + (5*t^8.177*y)/g1^3 + (3*t^8.258*y)/g1^10 - 2*g1^9*t^8.468*y + g1^2*t^8.548*y + (3*t^8.629*y)/g1^5 - 2*g1^14*t^8.839*y - 2*g1^7*t^8.92*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
6211	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$	0.6121	0.8044	0.7609	[M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923, 0.8462], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]]	3*t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + t^3.923 + 5*t^4.154 + 2*t^4.385 + 5*t^4.615 + 5*t^4.846 + 7*t^5.077 + 3*t^5.308 + 5*t^5.538 + 3*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 5379/8788, c: 7069/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, M8: 11/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13}
6213	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$	0.686	0.8804	0.7791	[M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778, 0.7778], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]]	5*t^2.333 + t^2.667 + 2*t^3. + t^3.667 + 3*t^4.333 + 13*t^4.667 + 8*t^5. + 8*t^5.333 + 3*t^5.667 - t^4.333/y - t^4.333*y	detail	{a: 889/1296, c: 1141/1296, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, M8: 7/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9}
6220	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{9}$	0.7051	0.8954	0.7874	[M:[1.0, 0.688, 0.798, 0.89, 1.11, 0.89, 0.89, 0.688, 1.11], q:[0.656, 0.344], qb:[0.546, 0.766], phi:[0.422]]	2*t^2.064 + t^2.394 + t^2.532 + 2*t^2.67 + t^3. + t^3.33 + 3*t^4.128 + 2*t^4.266 + 2*t^4.458 + t^4.542 + 3*t^4.596 + 3*t^4.734 + t^4.788 + t^4.872 + t^4.926 + 4*t^5.064 + 4*t^5.202 + 2*t^5.34 + 2*t^5.394 + 2*t^5.532 + t^5.724 + 2*t^5.862 - 2*t^6. - t^4.266/y - t^4.266*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
2587	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$	0.6951	0.8732	0.796	[M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]]	t^2.103 + t^2.481 + t^2.551 + 3*t^2.622 + t^3. + t^3.897 + t^4.205 + 2*t^4.276 + t^4.416 + t^4.584 + 2*t^4.654 + 2*t^4.724 + t^4.795 + t^4.962 + t^5.032 + 4*t^5.103 + 5*t^5.173 + 5*t^5.243 + 2*t^5.551 + t^5.622 + t^5.93 - 3*t^6. - t^4.276/y - t^4.276*y	detail