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
55251	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$	0.7332	0.912	0.804	[M:[1.0, 1.0, 1.0, 1.0699, 0.8602, 0.8602, 0.6748], q:[0.4301, 0.5699], qb:[0.5699, 0.5699], phi:[0.465]]	[M:[[0, 0], [-2, 2], [2, -2], [2, 2], [-2, -6], [-6, -2], [5, 5]], q:[[-2, -2], [2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$	${}M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	-2	t^2.024 + 2*t^2.581 + 3*t^3. + t^3.21 + t^3.419 + t^4.049 + 3*t^4.395 + 2*t^4.605 + 6*t^4.815 + 3*t^5.024 + 3*t^5.161 + t^5.234 + t^5.444 + 3*t^5.581 + 2*t^5.79 - 2*t^6. + t^6.073 + 3*t^6.21 + 3*t^6.419 + 3*t^6.629 + 7*t^6.839 + 3*t^6.976 + 3*t^7.049 + 2*t^7.185 + t^7.258 + 9*t^7.395 + t^7.468 + 3*t^7.605 + 4*t^7.742 + 11*t^7.815 - 2*t^8.024 + t^8.097 + 3*t^8.161 + 6*t^8.234 + 3*t^8.371 + 3*t^8.444 - 8*t^8.581 + 3*t^8.653 + 3*t^8.79 + 7*t^8.863 - t^4.395/y - t^6.419/y - (2*t^6.976)/y + (2*t^7.605)/y + (2*t^7.815)/y + (3*t^8.024)/y + t^8.161/y + t^8.234/y + t^8.371/y + (6*t^8.581)/y + (2*t^8.79)/y - t^4.395*y - t^6.419*y - 2*t^6.976*y + 2*t^7.605*y + 2*t^7.815*y + 3*t^8.024*y + t^8.161*y + t^8.234*y + t^8.371*y + 6*t^8.581*y + 2*t^8.79*y	g1^5*g2^5*t^2.024 + t^2.581/(g1^2*g2^6) + t^2.581/(g1^6*g2^2) + t^3. + (g1^2*t^3.)/g2^2 + (g2^2*t^3.)/g1^2 + g1^2*g2^2*t^3.21 + g1^4*g2^4*t^3.419 + g1^10*g2^10*t^4.049 + (g1*t^4.395)/g2^3 + t^4.395/(g1*g2) + (g2*t^4.395)/g1^3 + (g1^3*t^4.605)/g2 + (g2^3*t^4.605)/g1 + (g1^7*t^4.815)/g2 + g1^5*g2*t^4.815 + 2*g1^3*g2^3*t^4.815 + g1*g2^5*t^4.815 + (g2^7*t^4.815)/g1 + g1^7*g2^3*t^5.024 + g1^5*g2^5*t^5.024 + g1^3*g2^7*t^5.024 + t^5.161/(g1^4*g2^12) + t^5.161/(g1^8*g2^8) + t^5.161/(g1^12*g2^4) + g1^7*g2^7*t^5.234 + g1^9*g2^9*t^5.444 + t^5.581/g1^8 + t^5.581/g2^8 + t^5.581/(g1^4*g2^4) + t^5.79/g1^4 + t^5.79/g2^4 - 2*t^6. + g1^15*g2^15*t^6.073 + g1^4*t^6.21 + g1^2*g2^2*t^6.21 + g2^4*t^6.21 + g1^6*g2^2*t^6.419 + g1^4*g2^4*t^6.419 + g1^2*g2^6*t^6.419 + g1^8*g2^4*t^6.629 + g1^6*g2^6*t^6.629 + g1^4*g2^8*t^6.629 + g1^12*g2^4*t^6.839 + g1^10*g2^6*t^6.839 + 3*g1^8*g2^8*t^6.839 + g1^6*g2^10*t^6.839 + g1^4*g2^12*t^6.839 + t^6.976/(g1*g2^9) + t^6.976/(g1^5*g2^5) + t^6.976/(g1^9*g2) + g1^12*g2^8*t^7.049 + g1^10*g2^10*t^7.049 + g1^8*g2^12*t^7.049 + (g1*t^7.185)/g2^7 + (g2*t^7.185)/g1^7 + g1^12*g2^12*t^7.258 + (g1^5*t^7.395)/g2^7 + (g1^3*t^7.395)/g2^5 + (2*g1*t^7.395)/g2^3 + t^7.395/(g1*g2) + (2*g2*t^7.395)/g1^3 + (g2^3*t^7.395)/g1^5 + (g2^5*t^7.395)/g1^7 + g1^14*g2^14*t^7.468 + (g1^5*t^7.605)/g2^3 + g1*g2*t^7.605 + (g2^5*t^7.605)/g1^3 + t^7.742/(g1^6*g2^18) + t^7.742/(g1^10*g2^14) + t^7.742/(g1^14*g2^10) + t^7.742/(g1^18*g2^6) + (g1^9*t^7.815)/g2^3 + (g1^7*t^7.815)/g2 + 3*g1^5*g2*t^7.815 + g1^3*g2^3*t^7.815 + 3*g1*g2^5*t^7.815 + (g2^7*t^7.815)/g1 + (g2^9*t^7.815)/g1^3 - 2*g1^5*g2^5*t^8.024 + g1^20*g2^20*t^8.097 + t^8.161/(g1^2*g2^14) + t^8.161/(g1^6*g2^10) - t^8.161/(g1^8*g2^8) + t^8.161/(g1^10*g2^6) + t^8.161/(g1^14*g2^2) + g1^11*g2^3*t^8.234 + g1^9*g2^5*t^8.234 + 2*g1^7*g2^7*t^8.234 + g1^5*g2^9*t^8.234 + g1^3*g2^11*t^8.234 + t^8.371/(g1^2*g2^10) + t^8.371/(g1^6*g2^6) + t^8.371/(g1^10*g2^2) + g1^11*g2^7*t^8.444 + g1^9*g2^9*t^8.444 + g1^7*g2^11*t^8.444 - (3*t^8.581)/(g1^2*g2^6) - (2*t^8.581)/(g1^4*g2^4) - (3*t^8.581)/(g1^6*g2^2) + g1^13*g2^9*t^8.653 + g1^11*g2^11*t^8.653 + g1^9*g2^13*t^8.653 + (g1^2*t^8.79)/g2^6 + t^8.79/(g1^2*g2^2) + (g2^2*t^8.79)/g1^6 + g1^17*g2^9*t^8.863 + g1^15*g2^11*t^8.863 + 3*g1^13*g2^13*t^8.863 + g1^11*g2^15*t^8.863 + g1^9*g2^17*t^8.863 - t^4.395/(g1*g2*y) - (g1^4*g2^4*t^6.419)/y - t^6.976/(g1^3*g2^7*y) - t^6.976/(g1^7*g2^3*y) + (g1^3*t^7.605)/(g2*y) + (g2^3*t^7.605)/(g1*y) + (g1^5*g2*t^7.815)/y + (g1*g2^5*t^7.815)/y + (g1^7*g2^3*t^8.024)/y + (g1^5*g2^5*t^8.024)/y + (g1^3*g2^7*t^8.024)/y + t^8.161/(g1^8*g2^8*y) + (g1^7*g2^7*t^8.234)/y + t^8.371/(g1^6*g2^6*y) + t^8.581/(g1^8*y) + t^8.581/(g2^8*y) + t^8.581/(g1^2*g2^6*y) + (2*t^8.581)/(g1^4*g2^4*y) + t^8.581/(g1^6*g2^2*y) + t^8.79/(g1^4*y) + t^8.79/(g2^4*y) - (t^4.395*y)/(g1*g2) - g1^4*g2^4*t^6.419*y - (t^6.976*y)/(g1^3*g2^7) - (t^6.976*y)/(g1^7*g2^3) + (g1^3*t^7.605*y)/g2 + (g2^3*t^7.605*y)/g1 + g1^5*g2*t^7.815*y + g1*g2^5*t^7.815*y + g1^7*g2^3*t^8.024*y + g1^5*g2^5*t^8.024*y + g1^3*g2^7*t^8.024*y + (t^8.161*y)/(g1^8*g2^8) + g1^7*g2^7*t^8.234*y + (t^8.371*y)/(g1^6*g2^6) + (t^8.581*y)/g1^8 + (t^8.581*y)/g2^8 + (t^8.581*y)/(g1^2*g2^6) + (2*t^8.581*y)/(g1^4*g2^4) + (t^8.581*y)/(g1^6*g2^2) + (t^8.79*y)/g1^4 + (t^8.79*y)/g2^4

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
56895	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{7}$	0.7013	0.871	0.8052	[M:[1.0, 1.0, 1.0, 1.1429, 0.7143, 0.7143, 0.8571], q:[0.3571, 0.6429], qb:[0.6429, 0.6429], phi:[0.4286]]	2*t^2.143 + t^2.571 + 3*t^3. + t^3.429 + t^3.857 + 6*t^4.286 + 2*t^4.714 + 10*t^5.143 + 5*t^5.571 - t^6. - t^4.286/y - t^4.286*y	detail	{a: 3849/5488, c: 1195/1372, M1: 1, M2: 1, M3: 1, M4: 8/7, M5: 5/7, M6: 5/7, M7: 6/7, q1: 5/14, q2: 9/14, qb1: 9/14, qb2: 9/14, phi1: 3/7}
56896	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$	0.723	0.8966	0.8064	[M:[1.0, 1.0, 1.0, 1.1111, 0.7778, 0.7778, 0.7778], q:[0.3889, 0.6111], qb:[0.6111, 0.6111], phi:[0.4444]]	3*t^2.333 + 3*t^3. + t^3.333 + t^3.667 + 3*t^4.333 + 6*t^4.667 + 6*t^5. + 6*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y	detail	{a: 937/1296, c: 581/648, M1: 1, M2: 1, M3: 1, M4: 10/9, M5: 7/9, M6: 7/9, M7: 7/9, q1: 7/18, q2: 11/18, qb1: 11/18, qb2: 11/18, phi1: 4/9}

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
47015	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$	0.7124	0.8709	0.818	[M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]]	2*t^2.573 + 3*t^3. + t^3.214 + t^3.427 + t^3.966 + 3*t^4.393 + 6*t^4.82 + 3*t^5.146 + 3*t^5.573 + 2*t^5.786 - 2*t^6. - t^4.393/y - t^4.393*y	detail