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
820	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$	0.624	0.8111	0.7693	[M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]]	[M:[[0, 0], [4, 4], [-8, -8], [-5, 3], [3, -5], [8, 8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$	${}$	-4	2*t^2.248 + 2*t^2.255 + t^2.994 + t^3. + t^3.006 + t^3.012 + 2*t^3.758 + 3*t^4.497 + 4*t^4.503 + 6*t^4.509 + 4*t^5.248 + 4*t^5.255 + 4*t^5.261 + 2*t^5.267 + t^5.988 - 4*t^6. + 5*t^6.006 + 5*t^6.012 + t^6.019 + t^6.025 - 2*t^6.739 + 2*t^6.745 + 4*t^6.752 + 10*t^6.758 + 10*t^6.764 + 2*t^6.77 - t^7.491 - t^7.497 + 8*t^7.503 + 9*t^7.509 + 10*t^7.515 + 6*t^7.522 - 10*t^8.248 - 4*t^8.255 + 8*t^8.261 + 14*t^8.267 + 4*t^8.273 + 2*t^8.279 + t^8.981 - t^8.988 - 4*t^8.994 - t^4.497/y - (2*t^6.745)/y + t^7.497/y + (4*t^7.503)/y + t^7.509/y + (2*t^8.242)/y + (6*t^8.248)/y + (4*t^8.255)/y + (4*t^8.261)/y + (2*t^8.267)/y - (2*t^8.994)/y - t^4.497*y - 2*t^6.745*y + t^7.497*y + 4*t^7.503*y + t^7.509*y + 2*t^8.242*y + 6*t^8.248*y + 4*t^8.255*y + 4*t^8.261*y + 2*t^8.267*y - 2*t^8.994*y	(g1^3*t^2.248)/g2^5 + (g2^3*t^2.248)/g1^5 + (g1^7*t^2.255)/g2 + (g2^7*t^2.255)/g1 + t^2.994/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.006 + g1^8*g2^8*t^3.012 + g1^9*g2*t^3.758 + g1*g2^9*t^3.758 + (g1^6*t^4.497)/g2^10 + t^4.497/(g1^2*g2^2) + (g2^6*t^4.497)/g1^10 + (g1^10*t^4.503)/g2^6 + 2*g1^2*g2^2*t^4.503 + (g2^10*t^4.503)/g1^6 + (2*g1^14*t^4.509)/g2^2 + 2*g1^6*g2^6*t^4.509 + (2*g2^14*t^4.509)/g1^2 + (2*g1^3*t^5.248)/g2^5 + (2*g2^3*t^5.248)/g1^5 + (2*g1^7*t^5.255)/g2 + (2*g2^7*t^5.255)/g1 + 2*g1^11*g2^3*t^5.261 + 2*g1^3*g2^11*t^5.261 + g1^15*g2^7*t^5.267 + g1^7*g2^15*t^5.267 + t^5.988/(g1^8*g2^8) - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.006)/g2^4 + 3*g1^4*g2^4*t^6.006 + (g2^12*t^6.006)/g1^4 + g1^16*t^6.012 + 3*g1^8*g2^8*t^6.012 + g2^16*t^6.012 + g1^12*g2^12*t^6.019 + g1^16*g2^16*t^6.025 - t^6.739/(g1^3*g2^11) - t^6.739/(g1^11*g2^3) + (g1^9*t^6.745)/g2^15 + (g2^9*t^6.745)/g1^15 + (g1^13*t^6.752)/g2^11 + (g1^5*t^6.752)/g2^3 + (g2^5*t^6.752)/g1^3 + (g2^13*t^6.752)/g1^11 + (2*g1^17*t^6.758)/g2^7 + 3*g1^9*g2*t^6.758 + 3*g1*g2^9*t^6.758 + (2*g2^17*t^6.758)/g1^7 + (2*g1^21*t^6.764)/g2^3 + 3*g1^13*g2^5*t^6.764 + 3*g1^5*g2^13*t^6.764 + (2*g2^21*t^6.764)/g1^3 + g1^17*g2^9*t^6.77 + g1^9*g2^17*t^6.77 - t^7.491/(g1^6*g2^6) - t^7.497/(g1^2*g2^2) + (3*g1^10*t^7.503)/g2^6 + 2*g1^2*g2^2*t^7.503 + (3*g2^10*t^7.503)/g1^6 + (3*g1^14*t^7.509)/g2^2 + 3*g1^6*g2^6*t^7.509 + (3*g2^14*t^7.509)/g1^2 + 3*g1^18*g2^2*t^7.515 + 4*g1^10*g2^10*t^7.515 + 3*g1^2*g2^18*t^7.515 + 2*g1^22*g2^6*t^7.522 + 2*g1^14*g2^14*t^7.522 + 2*g1^6*g2^22*t^7.522 - (g1^11*t^8.248)/g2^13 - (4*g1^3*t^8.248)/g2^5 - (4*g2^3*t^8.248)/g1^5 - (g2^11*t^8.248)/g1^13 - (2*g1^7*t^8.255)/g2 - (2*g2^7*t^8.255)/g1 + (g1^19*t^8.261)/g2^5 + 3*g1^11*g2^3*t^8.261 + 3*g1^3*g2^11*t^8.261 + (g2^19*t^8.261)/g1^5 + (2*g1^23*t^8.267)/g2 + 5*g1^15*g2^7*t^8.267 + 5*g1^7*g2^15*t^8.267 + (2*g2^23*t^8.267)/g1 + 2*g1^19*g2^11*t^8.273 + 2*g1^11*g2^19*t^8.273 + g1^23*g2^15*t^8.279 + g1^15*g2^23*t^8.279 + t^8.981/(g1^12*g2^12) - t^8.988/(g1^8*g2^8) + (g1^12*t^8.994)/g2^20 - (g1^4*t^8.994)/g2^12 - (4*t^8.994)/(g1^4*g2^4) - (g2^4*t^8.994)/g1^12 + (g2^12*t^8.994)/g1^20 - t^4.497/(g1^2*g2^2*y) - (g1*t^6.745)/(g2^7*y) - (g2*t^6.745)/(g1^7*y) + t^7.497/(g1^2*g2^2*y) + (g1^10*t^7.503)/(g2^6*y) + (2*g1^2*g2^2*t^7.503)/y + (g2^10*t^7.503)/(g1^6*y) + (g1^6*g2^6*t^7.509)/y + t^8.242/(g1*g2^9*y) + t^8.242/(g1^9*g2*y) + (3*g1^3*t^8.248)/(g2^5*y) + (3*g2^3*t^8.248)/(g1^5*y) + (2*g1^7*t^8.255)/(g2*y) + (2*g2^7*t^8.255)/(g1*y) + (2*g1^11*g2^3*t^8.261)/y + (2*g1^3*g2^11*t^8.261)/y + (g1^15*g2^7*t^8.267)/y + (g1^7*g2^15*t^8.267)/y - (g1^4*t^8.994)/(g2^12*y) - (g2^4*t^8.994)/(g1^12*y) - (t^4.497*y)/(g1^2*g2^2) - (g1*t^6.745*y)/g2^7 - (g2*t^6.745*y)/g1^7 + (t^7.497*y)/(g1^2*g2^2) + (g1^10*t^7.503*y)/g2^6 + 2*g1^2*g2^2*t^7.503*y + (g2^10*t^7.503*y)/g1^6 + g1^6*g2^6*t^7.509*y + (t^8.242*y)/(g1*g2^9) + (t^8.242*y)/(g1^9*g2) + (3*g1^3*t^8.248*y)/g2^5 + (3*g2^3*t^8.248*y)/g1^5 + (2*g1^7*t^8.255*y)/g2 + (2*g2^7*t^8.255*y)/g1 + 2*g1^11*g2^3*t^8.261*y + 2*g1^3*g2^11*t^8.261*y + g1^15*g2^7*t^8.267*y + g1^7*g2^15*t^8.267*y - (g1^4*t^8.994*y)/g2^12 - (g2^4*t^8.994*y)/g1^12

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
1298	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.61	0.7825	0.7796	[M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]]	t^2.101 + t^2.279 + t^2.341 + t^2.519 + t^2.76 + t^3. + t^3.24 + t^3.481 + t^3.961 + t^4.14 + t^4.202 + t^4.38 + t^4.442 + t^4.558 + 2*t^4.62 + 2*t^4.682 + t^4.798 + 2*t^4.86 + 2*t^5.039 + 2*t^5.101 + 2*t^5.279 + 2*t^5.341 + 3*t^5.519 + 2*t^5.581 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*y	detail
2009	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6436	0.8459	0.7608	[M:[1.0, 1.0114, 0.9772, 0.7396, 0.7547, 1.0228, 0.7282], q:[0.7529, 0.2471], qb:[0.519, 0.5038], phi:[0.4943]]	t^2.185 + t^2.219 + t^2.253 + t^2.264 + t^2.298 + t^2.966 + t^3. + t^3.034 + t^3.068 + t^3.77 + t^4.369 + t^4.403 + 2*t^4.437 + t^4.449 + t^4.472 + 2*t^4.483 + 2*t^4.506 + 2*t^4.517 + t^4.528 + 2*t^4.551 + t^4.563 + 2*t^4.597 + t^5.15 + t^5.185 + 3*t^5.219 + 3*t^5.253 + 2*t^5.264 + 2*t^5.287 + 2*t^5.298 + t^5.321 + 2*t^5.333 + t^5.367 + t^5.932 + t^5.989 - 2*t^6. - t^4.483/y - t^4.483*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
525	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6284	0.8132	0.7728	[M:[1.0, 1.0446, 0.9108, 0.7388, 0.7388], q:[0.7612, 0.2388], qb:[0.5446, 0.5446], phi:[0.4777]]	2*t^2.217 + 2*t^2.35 + t^2.732 + t^2.866 + t^3. + t^3.134 + 2*t^3.917 + 3*t^4.433 + 4*t^4.567 + 6*t^4.701 + 2*t^4.949 + 2*t^5.083 + 4*t^5.217 + 4*t^5.35 + t^5.465 + 2*t^5.484 + t^5.598 + 2*t^5.732 + t^5.866 - 4*t^6. - t^4.433/y - t^4.433*y	detail